%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL027+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 19:45:06 EDT 2022
% Result : Theorem 93.35s 93.56s
% Output : CNFRefutation 95.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% 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(dedekind_law,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) ).
fof(modular_law_1,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) ).
fof(goals,conjecture,
! [X0] :
( join(X0,one) = one
=> ( join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one)
& join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ) ) ).
fof(subgoal_0,plain,
! [X0] :
( join(X0,one) = one
=> join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one) ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X0] :
( ( join(X0,one) = one
& join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one) )
=> join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( join(X0,one) = one
=> join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] :
( join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) != meet(complement(X0),one)
& join(X0,one) = one ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) != meet(complement(skolemFOFtoCNF_X0),one)
& join(skolemFOFtoCNF_X0,one) = one ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) != meet(complement(skolemFOFtoCNF_X0),one),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_4,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_6,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_8,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_10,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,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_12,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_14,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_16,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_20,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_22,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(canonicalize,[],[dedekind_law]) ).
fof(normalize_0_26,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_28,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_29,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_31,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) != meet(complement(skolemFOFtoCNF_X0),one),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_4]) ).
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( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) = join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(complement(skolemFOFtoCNF_X0),one))),bind(X1,$fot(meet(complement(composition(skolemFOFtoCNF_X0,top)),one)))]]) ).
cnf(refute_0_8,plain,
( join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) != join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != meet(complement(skolemFOFtoCNF_X0),one)
| join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)),meet(complement(skolemFOFtoCNF_X0),one)) ),[0],$fot(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)))]]) ).
cnf(refute_0_9,plain,
( join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != meet(complement(skolemFOFtoCNF_X0),one)
| join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)),join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != meet(complement(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_12,plain,
meet(X_29,X_30) = complement(join(complement(X_29),complement(X_30))),
inference(subst,[],[refute_0_11:[bind(X0,$fot(X_29)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_13,plain,
join(complement(X_30),complement(X_29)) = join(complement(X_29),complement(X_30)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_30))),bind(X1,$fot(complement(X_29)))]]) ).
cnf(refute_0_14,plain,
( join(complement(X_30),complement(X_29)) != join(complement(X_29),complement(X_30))
| join(complement(X_29),complement(X_30)) = join(complement(X_30),complement(X_29)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_30),complement(X_29)))),bind(Y,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_15,plain,
join(complement(X_29),complement(X_30)) = join(complement(X_30),complement(X_29)),
inference(resolve,[$cnf( $equal(join(complement(X_30),complement(X_29)),join(complement(X_29),complement(X_30))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( join(complement(X_29),complement(X_30)) != join(complement(X_30),complement(X_29))
| meet(X_29,X_30) != complement(join(complement(X_29),complement(X_30)))
| meet(X_29,X_30) = complement(join(complement(X_30),complement(X_29))) ),
introduced(tautology,[equality,[$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_17,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( $equal(join(complement(X_29),complement(X_30)),join(complement(X_30),complement(X_29))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
meet(X_29,X_30) = complement(join(complement(X_30),complement(X_29))),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_29),complement(X_30)))) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_20,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
complement(join(complement(X_30),complement(X_29))) = meet(X_30,X_29),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_30)),bind(X1,$fot(X_29))]]) ).
cnf(refute_0_22,plain,
( complement(join(complement(X_30),complement(X_29))) != meet(X_30,X_29)
| meet(X_29,X_30) != complement(join(complement(X_30),complement(X_29)))
| meet(X_29,X_30) = meet(X_30,X_29) ),
introduced(tautology,[equality,[$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_23,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( $equal(complement(join(complement(X_30),complement(X_29))),meet(X_30,X_29)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
meet(X_29,X_30) = meet(X_30,X_29),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_30),complement(X_29)))) )],[refute_0_18,refute_0_23]) ).
cnf(refute_0_25,plain,
( meet(X_29,X_30) != meet(X_30,X_29)
| meet(X_30,X_29) = meet(X_29,X_30) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_29,X_30))),bind(Y,$fot(meet(X_30,X_29)))]]) ).
cnf(refute_0_26,plain,
meet(X_30,X_29) = meet(X_29,X_30),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),meet(X_30,X_29)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_28,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)))]]) ).
cnf(refute_0_29,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))
| meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))) ),[1,1],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_30,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
meet(complement(skolemFOFtoCNF_X0),one) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_33,plain,
join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),
introduced(tautology,[refl,[$fot(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)))]]) ).
cnf(refute_0_34,plain,
( join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_35,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_37]) ).
cnf(refute_0_39,plain,
( join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_40,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_31,refute_0_40]) ).
cnf(refute_0_42,plain,
( join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(complement(skolemFOFtoCNF_X0),one)
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),meet(complement(skolemFOFtoCNF_X0),one)) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_43,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(complement(skolemFOFtoCNF_X0),one)
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),meet(complement(skolemFOFtoCNF_X0),one)) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_45,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_32,refute_0_44]) ).
cnf(refute_0_46,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_45,refute_0_43]) ).
cnf(refute_0_47,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),one),meet(complement(composition(skolemFOFtoCNF_X0,top)),one)),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_46,refute_0_10]) ).
cnf(refute_0_48,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_49,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_50,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_51,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
join(complement(X_14),composition(converse(converse(X0)),complement(composition(converse(X0),X_14)))) = complement(X_14),
inference(subst,[],[refute_0_52:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_54,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_55,plain,
( converse(converse(X0)) != X0
| join(complement(X_14),composition(converse(converse(X0)),complement(composition(converse(X0),X_14)))) != complement(X_14)
| join(complement(X_14),composition(X0,complement(composition(converse(X0),X_14)))) = complement(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_14),composition(converse(converse(X0)),complement(composition(converse(X0),X_14)))),complement(X_14)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_56,plain,
( join(complement(X_14),composition(converse(converse(X0)),complement(composition(converse(X0),X_14)))) != complement(X_14)
| join(complement(X_14),composition(X0,complement(composition(converse(X0),X_14)))) = complement(X_14) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
join(complement(X_14),composition(X0,complement(composition(converse(X0),X_14)))) = complement(X_14),
inference(resolve,[$cnf( $equal(join(complement(X_14),composition(converse(converse(X0)),complement(composition(converse(X0),X_14)))),complement(X_14)) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
join(complement(complement(X_37)),composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = complement(complement(X_37)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(X_126)),bind(X_14,$fot(complement(X_37)))]]) ).
cnf(refute_0_59,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_60,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_61,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_62,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_65,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_66,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_67,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_20,refute_0_67]) ).
cnf(refute_0_69,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_38:[bind(X,$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_70,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_64,refute_0_70]) ).
cnf(refute_0_72,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_73,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_63,refute_0_73]) ).
cnf(refute_0_75,plain,
X_37 = join(meet(X_37,X_38),complement(join(complement(X_37),X_38))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(X_38))]]) ).
cnf(refute_0_76,plain,
meet(X_38,X_37) = meet(X_37,X_38),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(X_38)),bind(X_30,$fot(X_37))]]) ).
cnf(refute_0_77,plain,
( meet(X_38,X_37) != meet(X_37,X_38)
| meet(X_37,X_38) = meet(X_38,X_37) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_38,X_37))),bind(Y,$fot(meet(X_37,X_38)))]]) ).
cnf(refute_0_78,plain,
meet(X_37,X_38) = meet(X_38,X_37),
inference(resolve,[$cnf( $equal(meet(X_38,X_37),meet(X_37,X_38)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( X_37 != join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))
| meet(X_37,X_38) != meet(X_38,X_37)
| X_37 = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))) ),[1,0],$fot(meet(X_38,X_37))]]) ).
cnf(refute_0_80,plain,
( X_37 != join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))
| X_37 = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) ),
inference(resolve,[$cnf( $equal(meet(X_37,X_38),meet(X_38,X_37)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
X_37 = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))) )],[refute_0_75,refute_0_80]) ).
cnf(refute_0_82,plain,
X_37 = join(meet(zero,X_37),complement(join(complement(X_37),zero))),
inference(subst,[],[refute_0_81:[bind(X_38,$fot(zero))]]) ).
cnf(refute_0_83,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_11:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_84,plain,
X_37 = join(meet(X_37,complement(X1)),complement(join(complement(X_37),complement(X1)))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_85,plain,
meet(X_37,X1) = complement(join(complement(X_37),complement(X1))),
inference(subst,[],[refute_0_11:[bind(X0,$fot(X_37))]]) ).
cnf(refute_0_86,plain,
( meet(X_37,X1) != complement(join(complement(X_37),complement(X1)))
| complement(join(complement(X_37),complement(X1))) = meet(X_37,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_37,X1))),bind(Y,$fot(complement(join(complement(X_37),complement(X1)))))]]) ).
cnf(refute_0_87,plain,
complement(join(complement(X_37),complement(X1))) = meet(X_37,X1),
inference(resolve,[$cnf( $equal(meet(X_37,X1),complement(join(complement(X_37),complement(X1)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( X_37 != join(meet(X_37,complement(X1)),complement(join(complement(X_37),complement(X1))))
| complement(join(complement(X_37),complement(X1))) != meet(X_37,X1)
| X_37 = join(meet(X_37,complement(X1)),meet(X_37,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,complement(X1)),complement(join(complement(X_37),complement(X1))))) ),[1,1],$fot(meet(X_37,X1))]]) ).
cnf(refute_0_89,plain,
( X_37 != join(meet(X_37,complement(X1)),complement(join(complement(X_37),complement(X1))))
| X_37 = join(meet(X_37,complement(X1)),meet(X_37,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_37),complement(X1))),meet(X_37,X1)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
X_37 = join(meet(X_37,complement(X1)),meet(X_37,X1)),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,complement(X1)),complement(join(complement(X_37),complement(X1))))) )],[refute_0_84,refute_0_89]) ).
cnf(refute_0_91,plain,
join(meet(X_37,complement(X1)),meet(X_37,X1)) = join(meet(X_37,X1),meet(X_37,complement(X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_37,X1))),bind(X1,$fot(meet(X_37,complement(X1))))]]) ).
cnf(refute_0_92,plain,
( X_37 != join(meet(X_37,complement(X1)),meet(X_37,X1))
| join(meet(X_37,complement(X1)),meet(X_37,X1)) != join(meet(X_37,X1),meet(X_37,complement(X1)))
| X_37 = join(meet(X_37,X1),meet(X_37,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(meet(X_37,X1),meet(X_37,complement(X1)))) ),[0],$fot(join(meet(X_37,complement(X1)),meet(X_37,X1)))]]) ).
cnf(refute_0_93,plain,
( X_37 != join(meet(X_37,complement(X1)),meet(X_37,X1))
| X_37 = join(meet(X_37,X1),meet(X_37,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,complement(X1)),meet(X_37,X1)),join(meet(X_37,X1),meet(X_37,complement(X1)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
X_37 = join(meet(X_37,X1),meet(X_37,complement(X1))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,complement(X1)),meet(X_37,X1))) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
X_48 = join(meet(X_48,top),meet(X_48,complement(top))),
inference(subst,[],[refute_0_94:[bind(X1,$fot(top)),bind(X_37,$fot(X_48))]]) ).
cnf(refute_0_96,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_97,plain,
zero = meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30)))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_98,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_99,plain,
complement(join(complement(X_29),complement(X_30))) = meet(X_29,X_30),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_29),complement(X_30)))) )],[refute_0_12,refute_0_98]) ).
cnf(refute_0_100,plain,
( complement(join(complement(X_29),complement(X_30))) != meet(X_29,X_30)
| zero != meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))
| zero = meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) ),
introduced(tautology,[equality,[$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_101,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( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
zero = meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))) )],[refute_0_97,refute_0_101]) ).
cnf(refute_0_103,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_104,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_105,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
join(meet(X_29,X_30),complement(meet(X_29,X_30))) = top,
inference(subst,[],[refute_0_105:[bind(X0,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_107,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,[$fot(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))))]]) ).
cnf(refute_0_108,plain,
( complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) != complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))
| join(meet(X_29,X_30),complement(meet(X_29,X_30))) != top
| complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) = complement(top) ),
introduced(tautology,[equality,[$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_109,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( $equal(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_29,X_30),complement(meet(X_29,X_30))),top) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
meet(join(complement(X_29),complement(X_30)),X1) = complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1))),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_112,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_113,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( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_99,refute_0_112]) ).
cnf(refute_0_114,plain,
meet(join(complement(X_29),complement(X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1)))) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),
inference(subst,[],[refute_0_114:[bind(X1,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_116,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_38:[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,$fot(complement(top)))]]) ).
cnf(refute_0_117,plain,
( complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) != complement(top)
| meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),complement(top)) )],[refute_0_110,refute_0_117]) ).
cnf(refute_0_119,plain,
( meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) != complement(top)
| zero != meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_120,plain,
( zero != meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),complement(top)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) )],[refute_0_102,refute_0_120]) ).
cnf(refute_0_122,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_123,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( X_48 != join(meet(X_48,top),meet(X_48,complement(top)))
| complement(top) != zero
| X_48 = join(meet(X_48,top),meet(X_48,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,top),meet(X_48,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_125,plain,
( X_48 != join(meet(X_48,top),meet(X_48,complement(top)))
| X_48 = join(meet(X_48,top),meet(X_48,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
X_48 = join(meet(X_48,top),meet(X_48,zero)),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,top),meet(X_48,complement(top)))) )],[refute_0_95,refute_0_125]) ).
cnf(refute_0_127,plain,
X_49 = join(meet(X_49,top),meet(X_49,zero)),
inference(subst,[],[refute_0_126:[bind(X_48,$fot(X_49))]]) ).
cnf(refute_0_128,plain,
meet(zero,X_49) = meet(X_49,zero),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(zero)),bind(X_30,$fot(X_49))]]) ).
cnf(refute_0_129,plain,
( meet(zero,X_49) != meet(X_49,zero)
| meet(X_49,zero) = meet(zero,X_49) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(zero,X_49))),bind(Y,$fot(meet(X_49,zero)))]]) ).
cnf(refute_0_130,plain,
meet(X_49,zero) = meet(zero,X_49),
inference(resolve,[$cnf( $equal(meet(zero,X_49),meet(X_49,zero)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| meet(X_49,zero) != meet(zero,X_49)
| X_49 = join(meet(X_49,top),meet(zero,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) ),[1,1],$fot(meet(zero,X_49))]]) ).
cnf(refute_0_132,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| X_49 = join(meet(X_49,top),meet(zero,X_49)) ),
inference(resolve,[$cnf( $equal(meet(X_49,zero),meet(zero,X_49)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
X_49 = join(meet(X_49,top),meet(zero,X_49)),
inference(resolve,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) )],[refute_0_127,refute_0_132]) ).
cnf(refute_0_134,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_133:[bind(X_49,$fot(complement(zero)))]]) ).
cnf(refute_0_135,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[refute_0_96:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_136,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_137,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_139,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
top = join(meet(top,X_38),complement(join(complement(top),X_38))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(top)),bind(X1,$fot(X_38))]]) ).
cnf(refute_0_142,plain,
( complement(top) != zero
| top != join(meet(top,X_38),complement(join(complement(top),X_38)))
| top = join(meet(top,X_38),complement(join(zero,X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_38),complement(join(complement(top),X_38)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_143,plain,
( top != join(meet(top,X_38),complement(join(complement(top),X_38)))
| top = join(meet(top,X_38),complement(join(zero,X_38))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_142]) ).
cnf(refute_0_144,plain,
top = join(meet(top,X_38),complement(join(zero,X_38))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_38),complement(join(complement(top),X_38)))) )],[refute_0_141,refute_0_143]) ).
cnf(refute_0_145,plain,
top = join(meet(top,complement(zero)),complement(join(zero,complement(zero)))),
inference(subst,[],[refute_0_144:[bind(X_38,$fot(complement(zero)))]]) ).
cnf(refute_0_146,plain,
top = join(zero,complement(zero)),
inference(subst,[],[refute_0_103:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_147,plain,
( top != join(zero,complement(zero))
| join(zero,complement(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(zero))))]]) ).
cnf(refute_0_148,plain,
join(zero,complement(zero)) = top,
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( join(zero,complement(zero)) != top
| top != join(meet(top,complement(zero)),complement(join(zero,complement(zero))))
| top = join(meet(top,complement(zero)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(join(zero,complement(zero))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_150,plain,
( top != join(meet(top,complement(zero)),complement(join(zero,complement(zero))))
| top = join(meet(top,complement(zero)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
top = join(meet(top,complement(zero)),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(join(zero,complement(zero))))) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
join(complement(top),meet(top,complement(zero))) = join(complement(top),meet(top,complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,complement(zero))))]]) ).
cnf(refute_0_153,plain,
( complement(top) != zero
| join(complement(top),meet(top,complement(zero))) != join(complement(top),meet(top,complement(zero)))
| join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(complement(top),meet(top,complement(zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_154,plain,
( complement(top) != zero
| join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(complement(top),meet(top,complement(zero)))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_154]) ).
cnf(refute_0_156,plain,
join(meet(top,complement(zero)),complement(top)) = join(complement(top),meet(top,complement(zero))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_157,plain,
( join(complement(top),meet(top,complement(zero))) != join(zero,meet(top,complement(zero)))
| join(meet(top,complement(zero)),complement(top)) != join(complement(top),meet(top,complement(zero)))
| join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(top,complement(zero)),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,complement(zero))))),bind(Z,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_158,plain,
( join(complement(top),meet(top,complement(zero))) != join(zero,meet(top,complement(zero)))
| join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(top)),join(complement(top),meet(top,complement(zero)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(zero,meet(top,complement(zero)))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
( join(meet(top,complement(zero)),complement(top)) != join(zero,meet(top,complement(zero)))
| top != join(meet(top,complement(zero)),complement(top))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(top))) ),[1],$fot(join(zero,meet(top,complement(zero))))]]) ).
cnf(refute_0_161,plain,
( top != join(meet(top,complement(zero)),complement(top))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(top)),join(zero,meet(top,complement(zero)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(top))) )],[refute_0_151,refute_0_161]) ).
cnf(refute_0_163,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_164,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(top))]]) ).
cnf(refute_0_166,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_167,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_166]) ).
cnf(refute_0_168,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_165,refute_0_167]) ).
cnf(refute_0_169,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_11:[bind(X0,$fot(top))]]) ).
cnf(refute_0_170,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_171,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_170]) ).
cnf(refute_0_172,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_169,refute_0_171]) ).
cnf(refute_0_173,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_174,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_174:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_176,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_177,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_178,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_179,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_182,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_175,refute_0_182]) ).
cnf(refute_0_184,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_185,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_168,refute_0_185]) ).
cnf(refute_0_187,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_186:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_188,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_189,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_190,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_193,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_164,refute_0_193]) ).
cnf(refute_0_195,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_196,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_197,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_200,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_140,refute_0_200]) ).
cnf(refute_0_202,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_203,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_83,refute_0_203]) ).
cnf(refute_0_205,plain,
top = join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30)))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_206,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_207,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( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_99,refute_0_206]) ).
cnf(refute_0_208,plain,
top = join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))) )],[refute_0_205,refute_0_207]) ).
cnf(refute_0_209,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_210,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_211,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = join(complement(X_29),join(complement(X_30),meet(X_29,X_30))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(complement(X_29))),bind(X1,$fot(complement(X_30))),bind(X2,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_213,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_214,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( $equal(join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),join(complement(X_29),join(complement(X_30),meet(X_29,X_30)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
top = join(complement(X_29),join(complement(X_30),meet(X_29,X_30))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) )],[refute_0_208,refute_0_214]) ).
cnf(refute_0_216,plain,
top = join(complement(X_110),join(complement(X_110),meet(X_110,X_110))),
inference(subst,[],[refute_0_215:[bind(X_29,$fot(X_110)),bind(X_30,$fot(X_110))]]) ).
cnf(refute_0_217,plain,
top = join(meet(X_92,X_92),complement(meet(X_92,X_92))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(meet(X_92,X_92)))]]) ).
cnf(refute_0_218,plain,
join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) = complement(X1),
inference(subst,[],[refute_0_52:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_219,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_220,plain,
converse(composition(converse(X0),X_19)) = composition(converse(X_19),converse(converse(X0))),
inference(subst,[],[refute_0_219:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_19))]]) ).
cnf(refute_0_221,plain,
( converse(composition(converse(X0),X_19)) != composition(converse(X_19),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_19)) = composition(converse(X_19),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_19)),composition(converse(X_19),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_222,plain,
( converse(composition(converse(X0),X_19)) != composition(converse(X_19),converse(converse(X0)))
| converse(composition(converse(X0),X_19)) = composition(converse(X_19),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_221]) ).
cnf(refute_0_223,plain,
converse(composition(converse(X0),X_19)) = composition(converse(X_19),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_19)),composition(converse(X_19),converse(converse(X0)))) )],[refute_0_220,refute_0_222]) ).
cnf(refute_0_224,plain,
converse(composition(converse(X_20),one)) = composition(converse(one),X_20),
inference(subst,[],[refute_0_223:[bind(X0,$fot(X_20)),bind(X_19,$fot(one))]]) ).
cnf(refute_0_225,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_226,plain,
composition(converse(X_20),one) = converse(X_20),
inference(subst,[],[refute_0_225:[bind(X0,$fot(converse(X_20)))]]) ).
cnf(refute_0_227,plain,
( composition(converse(X_20),one) != converse(X_20)
| converse(composition(converse(X_20),one)) != composition(converse(one),X_20)
| converse(converse(X_20)) = composition(converse(one),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_20),one)),composition(converse(one),X_20)) ),[0,0],$fot(converse(X_20))]]) ).
cnf(refute_0_228,plain,
( converse(composition(converse(X_20),one)) != composition(converse(one),X_20)
| converse(converse(X_20)) = composition(converse(one),X_20) ),
inference(resolve,[$cnf( $equal(composition(converse(X_20),one),converse(X_20)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
converse(converse(X_20)) = composition(converse(one),X_20),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_20),one)),composition(converse(one),X_20)) )],[refute_0_224,refute_0_228]) ).
cnf(refute_0_230,plain,
converse(converse(X_20)) = X_20,
inference(subst,[],[refute_0_54:[bind(X0,$fot(X_20))]]) ).
cnf(refute_0_231,plain,
( converse(converse(X_20)) != X_20
| converse(converse(X_20)) != composition(converse(one),X_20)
| X_20 = composition(converse(one),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_20)),composition(converse(one),X_20)) ),[0],$fot(X_20)]]) ).
cnf(refute_0_232,plain,
( converse(converse(X_20)) != composition(converse(one),X_20)
| X_20 = composition(converse(one),X_20) ),
inference(resolve,[$cnf( $equal(converse(converse(X_20)),X_20) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
X_20 = composition(converse(one),X_20),
inference(resolve,[$cnf( $equal(converse(converse(X_20)),composition(converse(one),X_20)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
X1 = composition(converse(one),X1),
inference(subst,[],[refute_0_233:[bind(X_20,$fot(X1))]]) ).
cnf(refute_0_235,plain,
( X1 != composition(converse(one),X1)
| composition(converse(one),X1) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(composition(converse(one),X1)))]]) ).
cnf(refute_0_236,plain,
composition(converse(one),X1) = X1,
inference(resolve,[$cnf( $equal(X1,composition(converse(one),X1)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
( composition(converse(one),X1) != X1
| join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) ),[0,1,1,0],$fot(X1)]]) ).
cnf(refute_0_238,plain,
( join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X1),X1) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) )],[refute_0_218,refute_0_238]) ).
cnf(refute_0_240,plain,
converse(converse(one)) = one,
inference(subst,[],[refute_0_54:[bind(X0,$fot(one))]]) ).
cnf(refute_0_241,plain,
composition(converse(converse(one)),complement(X1)) = composition(converse(converse(one)),complement(X1)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(X1)))]]) ).
cnf(refute_0_242,plain,
( composition(converse(converse(one)),complement(X1)) != composition(converse(converse(one)),complement(X1))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_243,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(converse(converse(one)),complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(one)),complement(X1))))]]) ).
cnf(refute_0_246,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(converse(converse(one)),complement(X1)))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) ),[1,1],$fot(composition(one,complement(X1)))]]) ).
cnf(refute_0_247,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(one,complement(X1))) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(one,complement(X1)))
| join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),composition(one,complement(X1))))]]) ).
cnf(refute_0_250,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
join(complement(X1),composition(one,complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) )],[refute_0_239,refute_0_250]) ).
cnf(refute_0_252,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_225:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_253,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_233:[bind(X_20,$fot(one))]]) ).
cnf(refute_0_254,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_255,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_257,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_252,refute_0_257]) ).
cnf(refute_0_259,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_260,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
composition(converse(one),X_20) = composition(converse(one),X_20),
introduced(tautology,[refl,[$fot(composition(converse(one),X_20))]]) ).
cnf(refute_0_262,plain,
( composition(converse(one),X_20) != composition(converse(one),X_20)
| converse(one) != one
| composition(converse(one),X_20) = composition(one,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_20),composition(converse(one),X_20)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_263,plain,
( converse(one) != one
| composition(converse(one),X_20) = composition(one,X_20) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_20),composition(converse(one),X_20)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
composition(converse(one),X_20) = composition(one,X_20),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( X_20 != composition(converse(one),X_20)
| composition(converse(one),X_20) != composition(one,X_20)
| X_20 = composition(one,X_20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_20,composition(one,X_20)) ),[0],$fot(composition(converse(one),X_20))]]) ).
cnf(refute_0_266,plain,
( X_20 != composition(converse(one),X_20)
| X_20 = composition(one,X_20) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_20),composition(one,X_20)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
X_20 = composition(one,X_20),
inference(resolve,[$cnf( $equal(X_20,composition(converse(one),X_20)) )],[refute_0_233,refute_0_266]) ).
cnf(refute_0_268,plain,
( X_20 != composition(one,X_20)
| composition(one,X_20) = X_20 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_20)),bind(Y,$fot(composition(one,X_20)))]]) ).
cnf(refute_0_269,plain,
composition(one,X_20) = X_20,
inference(resolve,[$cnf( $equal(X_20,composition(one,X_20)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
composition(one,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_269:[bind(X_20,$fot(complement(X1)))]]) ).
cnf(refute_0_271,plain,
join(complement(X1),composition(one,complement(X1))) = join(complement(X1),composition(one,complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(one,complement(X1))))]]) ).
cnf(refute_0_272,plain,
( composition(one,complement(X1)) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) != join(complement(X1),composition(one,complement(X1)))
| join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_0_273,plain,
( composition(one,complement(X1)) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)),
inference(resolve,[$cnf( $equal(composition(one,complement(X1)),complement(X1)) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( join(complement(X1),composition(one,complement(X1))) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) != join(complement(X1),complement(X1))
| join(complement(X1),complement(X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),complement(X1)))]]) ).
cnf(refute_0_276,plain,
( join(complement(X1),composition(one,complement(X1))) != complement(X1)
| join(complement(X1),complement(X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),complement(X1))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) )],[refute_0_251,refute_0_276]) ).
cnf(refute_0_278,plain,
X_37 = join(meet(X_37,complement(complement(X_37))),complement(join(complement(X_37),complement(complement(X_37))))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(complement(complement(X_37))))]]) ).
cnf(refute_0_279,plain,
top = join(complement(X_37),complement(complement(X_37))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(complement(X_37)))]]) ).
cnf(refute_0_280,plain,
( top != join(complement(X_37),complement(complement(X_37)))
| join(complement(X_37),complement(complement(X_37))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_37),complement(complement(X_37)))))]]) ).
cnf(refute_0_281,plain,
join(complement(X_37),complement(complement(X_37))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_37),complement(complement(X_37)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( X_37 != join(meet(X_37,complement(complement(X_37))),complement(join(complement(X_37),complement(complement(X_37)))))
| join(complement(X_37),complement(complement(X_37))) != top
| X_37 = join(meet(X_37,complement(complement(X_37))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,complement(complement(X_37))),complement(join(complement(X_37),complement(complement(X_37)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_283,plain,
( X_37 != join(meet(X_37,complement(complement(X_37))),complement(join(complement(X_37),complement(complement(X_37)))))
| X_37 = join(meet(X_37,complement(complement(X_37))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),complement(complement(X_37))),top) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
X_37 = join(meet(X_37,complement(complement(X_37))),complement(top)),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,complement(complement(X_37))),complement(join(complement(X_37),complement(complement(X_37)))))) )],[refute_0_278,refute_0_283]) ).
cnf(refute_0_285,plain,
join(complement(top),meet(X_37,complement(complement(X_37)))) = join(complement(top),meet(X_37,complement(complement(X_37)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_37,complement(complement(X_37)))))]]) ).
cnf(refute_0_286,plain,
( complement(top) != zero
| join(complement(top),meet(X_37,complement(complement(X_37)))) != join(complement(top),meet(X_37,complement(complement(X_37))))
| join(complement(top),meet(X_37,complement(complement(X_37)))) = join(zero,meet(X_37,complement(complement(X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_37,complement(complement(X_37)))),join(complement(top),meet(X_37,complement(complement(X_37))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_287,plain,
( complement(top) != zero
| join(complement(top),meet(X_37,complement(complement(X_37)))) = join(zero,meet(X_37,complement(complement(X_37)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_37,complement(complement(X_37)))),join(complement(top),meet(X_37,complement(complement(X_37))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
join(complement(top),meet(X_37,complement(complement(X_37)))) = join(zero,meet(X_37,complement(complement(X_37)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_287]) ).
cnf(refute_0_289,plain,
join(meet(X_37,complement(complement(X_37))),complement(top)) = join(complement(top),meet(X_37,complement(complement(X_37)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_37,complement(complement(X_37)))))]]) ).
cnf(refute_0_290,plain,
( join(complement(top),meet(X_37,complement(complement(X_37)))) != join(zero,meet(X_37,complement(complement(X_37))))
| join(meet(X_37,complement(complement(X_37))),complement(top)) != join(complement(top),meet(X_37,complement(complement(X_37))))
| join(meet(X_37,complement(complement(X_37))),complement(top)) = join(zero,meet(X_37,complement(complement(X_37)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(X_37,complement(complement(X_37))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_37,complement(complement(X_37)))))),bind(Z,$fot(join(zero,meet(X_37,complement(complement(X_37))))))]]) ).
cnf(refute_0_291,plain,
( join(complement(top),meet(X_37,complement(complement(X_37)))) != join(zero,meet(X_37,complement(complement(X_37))))
| join(meet(X_37,complement(complement(X_37))),complement(top)) = join(zero,meet(X_37,complement(complement(X_37)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,complement(complement(X_37))),complement(top)),join(complement(top),meet(X_37,complement(complement(X_37))))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
join(meet(X_37,complement(complement(X_37))),complement(top)) = join(zero,meet(X_37,complement(complement(X_37)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_37,complement(complement(X_37)))),join(zero,meet(X_37,complement(complement(X_37))))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
( X_37 != join(meet(X_37,complement(complement(X_37))),complement(top))
| join(meet(X_37,complement(complement(X_37))),complement(top)) != join(zero,meet(X_37,complement(complement(X_37))))
| X_37 = join(zero,meet(X_37,complement(complement(X_37)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(zero,meet(X_37,complement(complement(X_37))))) ),[0],$fot(join(meet(X_37,complement(complement(X_37))),complement(top)))]]) ).
cnf(refute_0_294,plain,
( X_37 != join(meet(X_37,complement(complement(X_37))),complement(top))
| X_37 = join(zero,meet(X_37,complement(complement(X_37)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,complement(complement(X_37))),complement(top)),join(zero,meet(X_37,complement(complement(X_37))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
X_37 = join(zero,meet(X_37,complement(complement(X_37)))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,complement(complement(X_37))),complement(top))) )],[refute_0_284,refute_0_294]) ).
cnf(refute_0_296,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(subst,[],[refute_0_295:[bind(X_37,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_297,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) ),[1,1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_298,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_20,refute_0_297]) ).
cnf(refute_0_299,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_0_296,refute_0_298]) ).
cnf(refute_0_300,plain,
join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_301,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).
cnf(refute_0_302,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) ),[1,0],$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_303,plain,
( join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
meet(X0,join(complement(X_29),complement(X_30))) = complement(join(complement(X0),complement(join(complement(X_29),complement(X_30))))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_306,plain,
( complement(join(complement(X_29),complement(X_30))) != meet(X_29,X_30)
| meet(X0,join(complement(X_29),complement(X_30))) != complement(join(complement(X0),complement(join(complement(X_29),complement(X_30)))))
| meet(X0,join(complement(X_29),complement(X_30))) = complement(join(complement(X0),meet(X_29,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),complement(join(complement(X0),complement(join(complement(X_29),complement(X_30)))))) ),[1,0,1],$fot(meet(X_29,X_30))]]) ).
cnf(refute_0_307,plain,
( meet(X0,join(complement(X_29),complement(X_30))) != complement(join(complement(X0),complement(join(complement(X_29),complement(X_30)))))
| meet(X0,join(complement(X_29),complement(X_30))) = complement(join(complement(X0),meet(X_29,X_30))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_99,refute_0_306]) ).
cnf(refute_0_308,plain,
meet(X0,join(complement(X_29),complement(X_30))) = complement(join(complement(X0),meet(X_29,X_30))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),complement(join(complement(X0),complement(join(complement(X_29),complement(X_30)))))) )],[refute_0_305,refute_0_307]) ).
cnf(refute_0_309,plain,
meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_29,$fot(X0)),bind(X_30,$fot(X1))]]) ).
cnf(refute_0_310,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(complement(meet(X0,X1)))),bind(X_30,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_311,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))))),bind(Z,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).
cnf(refute_0_312,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))),bind(Z,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_315,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_304,refute_0_315]) ).
cnf(refute_0_317,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_318,plain,
( join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_319,plain,
( meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_322,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_299,refute_0_322]) ).
cnf(refute_0_324,plain,
complement(X_71) = join(meet(X_71,complement(X_71)),complement(join(complement(complement(X_71)),X_71))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(complement(X_71))),bind(X_38,$fot(X_71))]]) ).
cnf(refute_0_325,plain,
zero = meet(X_71,complement(X_71)),
inference(subst,[],[refute_0_96:[bind(X0,$fot(X_71))]]) ).
cnf(refute_0_326,plain,
( zero != meet(X_71,complement(X_71))
| meet(X_71,complement(X_71)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_71,complement(X_71))))]]) ).
cnf(refute_0_327,plain,
meet(X_71,complement(X_71)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_71,complement(X_71))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
( complement(X_71) != join(meet(X_71,complement(X_71)),complement(join(complement(complement(X_71)),X_71)))
| meet(X_71,complement(X_71)) != zero
| complement(X_71) = join(zero,complement(join(complement(complement(X_71)),X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_71),join(meet(X_71,complement(X_71)),complement(join(complement(complement(X_71)),X_71)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_329,plain,
( complement(X_71) != join(meet(X_71,complement(X_71)),complement(join(complement(complement(X_71)),X_71)))
| complement(X_71) = join(zero,complement(join(complement(complement(X_71)),X_71))) ),
inference(resolve,[$cnf( $equal(meet(X_71,complement(X_71)),zero) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
complement(X_71) = join(zero,complement(join(complement(complement(X_71)),X_71))),
inference(resolve,[$cnf( $equal(complement(X_71),join(meet(X_71,complement(X_71)),complement(join(complement(complement(X_71)),X_71)))) )],[refute_0_324,refute_0_329]) ).
cnf(refute_0_331,plain,
join(complement(complement(X_71)),X_71) = join(X_71,complement(complement(X_71))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_71)),bind(X1,$fot(complement(complement(X_71))))]]) ).
cnf(refute_0_332,plain,
complement(join(complement(complement(X_71)),X_71)) = complement(join(complement(complement(X_71)),X_71)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_71)),X_71)))]]) ).
cnf(refute_0_333,plain,
( complement(join(complement(complement(X_71)),X_71)) != complement(join(complement(complement(X_71)),X_71))
| join(complement(complement(X_71)),X_71) != join(X_71,complement(complement(X_71)))
| complement(join(complement(complement(X_71)),X_71)) = complement(join(X_71,complement(complement(X_71)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_71)),X_71)),complement(join(complement(complement(X_71)),X_71))) ),[1,0],$fot(join(X_71,complement(complement(X_71))))]]) ).
cnf(refute_0_334,plain,
( join(complement(complement(X_71)),X_71) != join(X_71,complement(complement(X_71)))
| complement(join(complement(complement(X_71)),X_71)) = complement(join(X_71,complement(complement(X_71)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_71)),X_71)),complement(join(complement(complement(X_71)),X_71))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
complement(join(complement(complement(X_71)),X_71)) = complement(join(X_71,complement(complement(X_71)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_71)),X_71),join(X_71,complement(complement(X_71)))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
join(zero,complement(join(complement(complement(X_71)),X_71))) = join(zero,complement(join(complement(complement(X_71)),X_71))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(complement(X_71)),X_71))))]]) ).
cnf(refute_0_337,plain,
( complement(join(complement(complement(X_71)),X_71)) != complement(join(X_71,complement(complement(X_71))))
| join(zero,complement(join(complement(complement(X_71)),X_71))) != join(zero,complement(join(complement(complement(X_71)),X_71)))
| join(zero,complement(join(complement(complement(X_71)),X_71))) = join(zero,complement(join(X_71,complement(complement(X_71))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(complement(X_71)),X_71))),join(zero,complement(join(complement(complement(X_71)),X_71)))) ),[1,1],$fot(complement(join(X_71,complement(complement(X_71)))))]]) ).
cnf(refute_0_338,plain,
( complement(join(complement(complement(X_71)),X_71)) != complement(join(X_71,complement(complement(X_71))))
| join(zero,complement(join(complement(complement(X_71)),X_71))) = join(zero,complement(join(X_71,complement(complement(X_71))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_71)),X_71))),join(zero,complement(join(complement(complement(X_71)),X_71)))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
join(zero,complement(join(complement(complement(X_71)),X_71))) = join(zero,complement(join(X_71,complement(complement(X_71))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_71)),X_71)),complement(join(X_71,complement(complement(X_71))))) )],[refute_0_335,refute_0_338]) ).
cnf(refute_0_340,plain,
( complement(X_71) != join(zero,complement(join(complement(complement(X_71)),X_71)))
| join(zero,complement(join(complement(complement(X_71)),X_71))) != join(zero,complement(join(X_71,complement(complement(X_71)))))
| complement(X_71) = join(zero,complement(join(X_71,complement(complement(X_71))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_71),join(zero,complement(join(X_71,complement(complement(X_71)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_71)),X_71))))]]) ).
cnf(refute_0_341,plain,
( complement(X_71) != join(zero,complement(join(complement(complement(X_71)),X_71)))
| complement(X_71) = join(zero,complement(join(X_71,complement(complement(X_71))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_71)),X_71))),join(zero,complement(join(X_71,complement(complement(X_71)))))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
complement(X_71) = join(zero,complement(join(X_71,complement(complement(X_71))))),
inference(resolve,[$cnf( $equal(complement(X_71),join(zero,complement(join(complement(complement(X_71)),X_71)))) )],[refute_0_330,refute_0_341]) ).
cnf(refute_0_343,plain,
( complement(X_71) != join(zero,complement(join(X_71,complement(complement(X_71)))))
| join(zero,complement(join(X_71,complement(complement(X_71))))) = complement(X_71) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_71))),bind(Y,$fot(join(zero,complement(join(X_71,complement(complement(X_71)))))))]]) ).
cnf(refute_0_344,plain,
join(zero,complement(join(X_71,complement(complement(X_71))))) = complement(X_71),
inference(resolve,[$cnf( $equal(complement(X_71),join(zero,complement(join(X_71,complement(complement(X_71)))))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_344:[bind(X_71,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_346,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(zero,complement(join(meet(X0,X1),complement(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(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_347,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_323,refute_0_347]) ).
cnf(refute_0_349,plain,
join(complement(X1),complement(X1)) = complement(meet(X1,X1)),
inference(subst,[],[refute_0_348:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_350,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| join(complement(X1),complement(X1)) != complement(meet(X1,X1))
| complement(meet(X1,X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) ),[0],$fot(complement(meet(X1,X1)))]]) ).
cnf(refute_0_351,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| complement(meet(X1,X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(meet(X1,X1))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
complement(meet(X1,X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_277,refute_0_351]) ).
cnf(refute_0_353,plain,
complement(meet(X_92,X_92)) = complement(X_92),
inference(subst,[],[refute_0_352:[bind(X1,$fot(X_92))]]) ).
cnf(refute_0_354,plain,
( complement(meet(X_92,X_92)) != complement(X_92)
| top != join(meet(X_92,X_92),complement(meet(X_92,X_92)))
| top = join(meet(X_92,X_92),complement(X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_92,X_92),complement(meet(X_92,X_92)))) ),[1,1],$fot(complement(X_92))]]) ).
cnf(refute_0_355,plain,
( top != join(meet(X_92,X_92),complement(meet(X_92,X_92)))
| top = join(meet(X_92,X_92),complement(X_92)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_92,X_92)),complement(X_92)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
top = join(meet(X_92,X_92),complement(X_92)),
inference(resolve,[$cnf( $equal(top,join(meet(X_92,X_92),complement(meet(X_92,X_92)))) )],[refute_0_217,refute_0_355]) ).
cnf(refute_0_357,plain,
join(meet(X_92,X_92),complement(X_92)) = join(complement(X_92),meet(X_92,X_92)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_92))),bind(X1,$fot(meet(X_92,X_92)))]]) ).
cnf(refute_0_358,plain,
( join(meet(X_92,X_92),complement(X_92)) != join(complement(X_92),meet(X_92,X_92))
| top != join(meet(X_92,X_92),complement(X_92))
| top = join(complement(X_92),meet(X_92,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_92,X_92),complement(X_92))) ),[1],$fot(join(complement(X_92),meet(X_92,X_92)))]]) ).
cnf(refute_0_359,plain,
( top != join(meet(X_92,X_92),complement(X_92))
| top = join(complement(X_92),meet(X_92,X_92)) ),
inference(resolve,[$cnf( $equal(join(meet(X_92,X_92),complement(X_92)),join(complement(X_92),meet(X_92,X_92))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
top = join(complement(X_92),meet(X_92,X_92)),
inference(resolve,[$cnf( $equal(top,join(meet(X_92,X_92),complement(X_92))) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
top = join(complement(X_110),meet(X_110,X_110)),
inference(subst,[],[refute_0_360:[bind(X_92,$fot(X_110))]]) ).
cnf(refute_0_362,plain,
( top != join(complement(X_110),meet(X_110,X_110))
| join(complement(X_110),meet(X_110,X_110)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_110),meet(X_110,X_110))))]]) ).
cnf(refute_0_363,plain,
join(complement(X_110),meet(X_110,X_110)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_110),meet(X_110,X_110))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
( join(complement(X_110),meet(X_110,X_110)) != top
| top != join(complement(X_110),join(complement(X_110),meet(X_110,X_110)))
| top = join(complement(X_110),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_110),join(complement(X_110),meet(X_110,X_110)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_365,plain,
( top != join(complement(X_110),join(complement(X_110),meet(X_110,X_110)))
| top = join(complement(X_110),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_110),meet(X_110,X_110)),top) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
top = join(complement(X_110),top),
inference(resolve,[$cnf( $equal(top,join(complement(X_110),join(complement(X_110),meet(X_110,X_110)))) )],[refute_0_216,refute_0_365]) ).
cnf(refute_0_367,plain,
join(X0,join(one,join(zero,meet(top,meet(top,complement(one)))))) = join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))),
inference(subst,[],[refute_0_209:[bind(X1,$fot(one)),bind(X2,$fot(join(zero,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_368,plain,
top = join(join(zero,complement(X_33)),complement(join(zero,complement(X_33)))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(join(zero,complement(X_33))))]]) ).
cnf(refute_0_369,plain,
meet(top,X_33) = complement(join(zero,complement(X_33))),
inference(subst,[],[refute_0_172:[bind(X1,$fot(X_33))]]) ).
cnf(refute_0_370,plain,
( meet(top,X_33) != complement(join(zero,complement(X_33)))
| complement(join(zero,complement(X_33))) = meet(top,X_33) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_33))),bind(Y,$fot(complement(join(zero,complement(X_33)))))]]) ).
cnf(refute_0_371,plain,
complement(join(zero,complement(X_33))) = meet(top,X_33),
inference(resolve,[$cnf( $equal(meet(top,X_33),complement(join(zero,complement(X_33)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( complement(join(zero,complement(X_33))) != meet(top,X_33)
| top != join(join(zero,complement(X_33)),complement(join(zero,complement(X_33))))
| top = join(join(zero,complement(X_33)),meet(top,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_33)),complement(join(zero,complement(X_33))))) ),[1,1],$fot(meet(top,X_33))]]) ).
cnf(refute_0_373,plain,
( top != join(join(zero,complement(X_33)),complement(join(zero,complement(X_33))))
| top = join(join(zero,complement(X_33)),meet(top,X_33)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_33))),meet(top,X_33)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
top = join(join(zero,complement(X_33)),meet(top,X_33)),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_33)),complement(join(zero,complement(X_33))))) )],[refute_0_368,refute_0_373]) ).
cnf(refute_0_375,plain,
join(join(zero,complement(X_33)),meet(top,X_33)) = join(zero,join(complement(X_33),meet(top,X_33))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_33))),bind(X2,$fot(meet(top,X_33)))]]) ).
cnf(refute_0_376,plain,
( join(join(zero,complement(X_33)),meet(top,X_33)) != join(zero,join(complement(X_33),meet(top,X_33)))
| top != join(join(zero,complement(X_33)),meet(top,X_33))
| top = join(zero,join(complement(X_33),meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_33)),meet(top,X_33))) ),[1],$fot(join(zero,join(complement(X_33),meet(top,X_33))))]]) ).
cnf(refute_0_377,plain,
( top != join(join(zero,complement(X_33)),meet(top,X_33))
| top = join(zero,join(complement(X_33),meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_33)),meet(top,X_33)),join(zero,join(complement(X_33),meet(top,X_33)))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
top = join(zero,join(complement(X_33),meet(top,X_33))),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_33)),meet(top,X_33))) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
top = join(zero,join(complement(meet(top,complement(one))),meet(top,meet(top,complement(one))))),
inference(subst,[],[refute_0_378:[bind(X_33,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_380,plain,
one = join(meet(one,composition(converse(X_13),complement(X_13))),complement(join(complement(one),composition(converse(X_13),complement(X_13))))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(one)),bind(X1,$fot(composition(converse(X_13),complement(X_13))))]]) ).
cnf(refute_0_381,plain,
join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))) = complement(one),
inference(subst,[],[refute_0_52:[bind(X0,$fot(X_13)),bind(X1,$fot(one))]]) ).
cnf(refute_0_382,plain,
composition(X_13,one) = X_13,
inference(subst,[],[refute_0_225:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_383,plain,
( composition(X_13,one) != X_13
| join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))) != complement(one)
| join(complement(one),composition(converse(X_13),complement(X_13))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))),complement(one)) ),[0,1,1,0],$fot(X_13)]]) ).
cnf(refute_0_384,plain,
( join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))) != complement(one)
| join(complement(one),composition(converse(X_13),complement(X_13))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_13,one),X_13) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
join(complement(one),composition(converse(X_13),complement(X_13))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_13),complement(composition(X_13,one)))),complement(one)) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( join(complement(one),composition(converse(X_13),complement(X_13))) != complement(one)
| one != join(meet(one,composition(converse(X_13),complement(X_13))),complement(join(complement(one),composition(converse(X_13),complement(X_13)))))
| one = join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,composition(converse(X_13),complement(X_13))),complement(join(complement(one),composition(converse(X_13),complement(X_13)))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_387,plain,
( one != join(meet(one,composition(converse(X_13),complement(X_13))),complement(join(complement(one),composition(converse(X_13),complement(X_13)))))
| one = join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_13),complement(X_13))),complement(one)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
one = join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one))),
inference(resolve,[$cnf( $equal(one,join(meet(one,composition(converse(X_13),complement(X_13))),complement(join(complement(one),composition(converse(X_13),complement(X_13)))))) )],[refute_0_380,refute_0_387]) ).
cnf(refute_0_389,plain,
join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one))) = join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(one)))),bind(X1,$fot(meet(one,composition(converse(X_13),complement(X_13)))))]]) ).
cnf(refute_0_390,plain,
( join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one))) != join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13))))
| one != join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one)))
| one = join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one)))) ),[1],$fot(join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13)))))]]) ).
cnf(refute_0_391,plain,
( one != join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one)))
| one = join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one))),join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13))))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
one = join(complement(complement(one)),meet(one,composition(converse(X_13),complement(X_13)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,composition(converse(X_13),complement(X_13))),complement(complement(one)))) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
one = join(complement(complement(one)),meet(one,composition(converse(one),complement(one)))),
inference(subst,[],[refute_0_392:[bind(X_13,$fot(one))]]) ).
cnf(refute_0_394,plain,
( converse(one) != one
| one != join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))
| one = join(complement(complement(one)),meet(one,composition(one,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_395,plain,
( one != join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))
| one = join(complement(complement(one)),meet(one,composition(one,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_394]) ).
cnf(refute_0_396,plain,
one = join(complement(complement(one)),meet(one,composition(one,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))) )],[refute_0_393,refute_0_395]) ).
cnf(refute_0_397,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1)))))),
inference(subst,[],[refute_0_295:[bind(X_37,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_398,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) ),[1,1,1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_399,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_174,refute_0_398]) ).
cnf(refute_0_400,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
meet(join(zero,complement(X1)),complement(meet(top,X1))) = meet(complement(meet(top,X1)),join(zero,complement(X1))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(complement(meet(top,X1)))),bind(X_30,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_402,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_403,plain,
( join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),join(zero,complement(X1))))]]) ).
cnf(refute_0_404,plain,
( meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),complement(meet(top,X1))),meet(complement(meet(top,X1)),join(zero,complement(X1)))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[0],$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_407,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_400,refute_0_407]) ).
cnf(refute_0_409,plain,
X_37 = join(meet(X_37,complement(X_37)),complement(join(complement(X_37),complement(X_37)))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(complement(X_37)))]]) ).
cnf(refute_0_410,plain,
zero = meet(X_37,complement(X_37)),
inference(subst,[],[refute_0_96:[bind(X0,$fot(X_37))]]) ).
cnf(refute_0_411,plain,
( zero != meet(X_37,complement(X_37))
| meet(X_37,complement(X_37)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_37,complement(X_37))))]]) ).
cnf(refute_0_412,plain,
meet(X_37,complement(X_37)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_37,complement(X_37))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
( X_37 != join(meet(X_37,complement(X_37)),complement(join(complement(X_37),complement(X_37))))
| meet(X_37,complement(X_37)) != zero
| X_37 = join(zero,complement(join(complement(X_37),complement(X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,complement(X_37)),complement(join(complement(X_37),complement(X_37))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_414,plain,
( X_37 != join(meet(X_37,complement(X_37)),complement(join(complement(X_37),complement(X_37))))
| X_37 = join(zero,complement(join(complement(X_37),complement(X_37)))) ),
inference(resolve,[$cnf( $equal(meet(X_37,complement(X_37)),zero) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
X_37 = join(zero,complement(join(complement(X_37),complement(X_37)))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,complement(X_37)),complement(join(complement(X_37),complement(X_37))))) )],[refute_0_409,refute_0_414]) ).
cnf(refute_0_416,plain,
complement(join(complement(X_37),complement(X_37))) = meet(X_37,X_37),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_37)),bind(X1,$fot(X_37))]]) ).
cnf(refute_0_417,plain,
join(zero,complement(join(complement(X_37),complement(X_37)))) = join(zero,complement(join(complement(X_37),complement(X_37)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_37),complement(X_37)))))]]) ).
cnf(refute_0_418,plain,
( complement(join(complement(X_37),complement(X_37))) != meet(X_37,X_37)
| join(zero,complement(join(complement(X_37),complement(X_37)))) != join(zero,complement(join(complement(X_37),complement(X_37))))
| join(zero,complement(join(complement(X_37),complement(X_37)))) = join(zero,meet(X_37,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_37),complement(X_37)))),join(zero,complement(join(complement(X_37),complement(X_37))))) ),[1,1],$fot(meet(X_37,X_37))]]) ).
cnf(refute_0_419,plain,
( complement(join(complement(X_37),complement(X_37))) != meet(X_37,X_37)
| join(zero,complement(join(complement(X_37),complement(X_37)))) = join(zero,meet(X_37,X_37)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_37),complement(X_37)))),join(zero,complement(join(complement(X_37),complement(X_37))))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
join(zero,complement(join(complement(X_37),complement(X_37)))) = join(zero,meet(X_37,X_37)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_37),complement(X_37))),meet(X_37,X_37)) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
( X_37 != join(zero,complement(join(complement(X_37),complement(X_37))))
| join(zero,complement(join(complement(X_37),complement(X_37)))) != join(zero,meet(X_37,X_37))
| X_37 = join(zero,meet(X_37,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(zero,meet(X_37,X_37))) ),[0],$fot(join(zero,complement(join(complement(X_37),complement(X_37)))))]]) ).
cnf(refute_0_422,plain,
( X_37 != join(zero,complement(join(complement(X_37),complement(X_37))))
| X_37 = join(zero,meet(X_37,X_37)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_37),complement(X_37)))),join(zero,meet(X_37,X_37))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
X_37 = join(zero,meet(X_37,X_37)),
inference(resolve,[$cnf( $equal(X_37,join(zero,complement(join(complement(X_37),complement(X_37))))) )],[refute_0_415,refute_0_422]) ).
cnf(refute_0_424,plain,
( X_37 != join(zero,meet(X_37,X_37))
| join(zero,meet(X_37,X_37)) = X_37 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(join(zero,meet(X_37,X_37))))]]) ).
cnf(refute_0_425,plain,
join(zero,meet(X_37,X_37)) = X_37,
inference(resolve,[$cnf( $equal(X_37,join(zero,meet(X_37,X_37))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) = complement(meet(top,X1)),
inference(subst,[],[refute_0_425:[bind(X_37,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_427,plain,
meet(X0,join(zero,complement(X_33))) = complement(join(complement(X0),complement(join(zero,complement(X_33))))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(join(zero,complement(X_33))))]]) ).
cnf(refute_0_428,plain,
( complement(join(zero,complement(X_33))) != meet(top,X_33)
| meet(X0,join(zero,complement(X_33))) != complement(join(complement(X0),complement(join(zero,complement(X_33)))))
| meet(X0,join(zero,complement(X_33))) = complement(join(complement(X0),meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_33))),complement(join(complement(X0),complement(join(zero,complement(X_33)))))) ),[1,0,1],$fot(meet(top,X_33))]]) ).
cnf(refute_0_429,plain,
( meet(X0,join(zero,complement(X_33))) != complement(join(complement(X0),complement(join(zero,complement(X_33)))))
| meet(X0,join(zero,complement(X_33))) = complement(join(complement(X0),meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_33))),meet(top,X_33)) )],[refute_0_371,refute_0_428]) ).
cnf(refute_0_430,plain,
meet(X0,join(zero,complement(X_33))) = complement(join(complement(X0),meet(top,X_33))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_33))),complement(join(complement(X0),complement(join(zero,complement(X_33)))))) )],[refute_0_427,refute_0_429]) ).
cnf(refute_0_431,plain,
join(complement(X_29),complement(X_30)) = complement(meet(X_29,X_30)),
inference(subst,[],[refute_0_348:[bind(X0,$fot(X_29)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_432,plain,
meet(X0,join(complement(X_29),complement(X_30))) = meet(X0,join(complement(X_29),complement(X_30))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_433,plain,
( join(complement(X_29),complement(X_30)) != complement(meet(X_29,X_30))
| meet(X0,join(complement(X_29),complement(X_30))) != meet(X0,join(complement(X_29),complement(X_30)))
| meet(X0,join(complement(X_29),complement(X_30))) = meet(X0,complement(meet(X_29,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),meet(X0,join(complement(X_29),complement(X_30)))) ),[1,1],$fot(complement(meet(X_29,X_30)))]]) ).
cnf(refute_0_434,plain,
( join(complement(X_29),complement(X_30)) != complement(meet(X_29,X_30))
| meet(X0,join(complement(X_29),complement(X_30))) = meet(X0,complement(meet(X_29,X_30))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),meet(X0,join(complement(X_29),complement(X_30)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
meet(X0,join(complement(X_29),complement(X_30))) = meet(X0,complement(meet(X_29,X_30))),
inference(resolve,[$cnf( $equal(join(complement(X_29),complement(X_30)),complement(meet(X_29,X_30))) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( meet(X0,join(complement(X_29),complement(X_30))) != complement(join(complement(X0),meet(X_29,X_30)))
| meet(X0,join(complement(X_29),complement(X_30))) != meet(X0,complement(meet(X_29,X_30)))
| meet(X0,complement(meet(X_29,X_30))) = complement(join(complement(X0),meet(X_29,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),complement(join(complement(X0),meet(X_29,X_30)))) ),[0],$fot(meet(X0,complement(meet(X_29,X_30))))]]) ).
cnf(refute_0_437,plain,
( meet(X0,join(complement(X_29),complement(X_30))) != complement(join(complement(X0),meet(X_29,X_30)))
| meet(X0,complement(meet(X_29,X_30))) = complement(join(complement(X0),meet(X_29,X_30))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),meet(X0,complement(meet(X_29,X_30)))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
meet(X0,complement(meet(X_29,X_30))) = complement(join(complement(X0),meet(X_29,X_30))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_29),complement(X_30))),complement(join(complement(X0),meet(X_29,X_30)))) )],[refute_0_308,refute_0_437]) ).
cnf(refute_0_439,plain,
( meet(X0,complement(meet(X_29,X_30))) != complement(join(complement(X0),meet(X_29,X_30)))
| complement(join(complement(X0),meet(X_29,X_30))) = meet(X0,complement(meet(X_29,X_30))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(meet(X_29,X_30))))),bind(Y,$fot(complement(join(complement(X0),meet(X_29,X_30)))))]]) ).
cnf(refute_0_440,plain,
complement(join(complement(X0),meet(X_29,X_30))) = meet(X0,complement(meet(X_29,X_30))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_29,X_30))),complement(join(complement(X0),meet(X_29,X_30)))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
complement(join(complement(X0),meet(top,X_33))) = meet(X0,complement(meet(top,X_33))),
inference(subst,[],[refute_0_440:[bind(X_29,$fot(top)),bind(X_30,$fot(X_33))]]) ).
cnf(refute_0_442,plain,
( complement(join(complement(X0),meet(top,X_33))) != meet(X0,complement(meet(top,X_33)))
| meet(X0,join(zero,complement(X_33))) != complement(join(complement(X0),meet(top,X_33)))
| meet(X0,join(zero,complement(X_33))) = meet(X0,complement(meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_33))),complement(join(complement(X0),meet(top,X_33)))) ),[1],$fot(meet(X0,complement(meet(top,X_33))))]]) ).
cnf(refute_0_443,plain,
( meet(X0,join(zero,complement(X_33))) != complement(join(complement(X0),meet(top,X_33)))
| meet(X0,join(zero,complement(X_33))) = meet(X0,complement(meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_33))),meet(X0,complement(meet(top,X_33)))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
meet(X0,join(zero,complement(X_33))) = meet(X0,complement(meet(top,X_33))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_33))),complement(join(complement(X0),meet(top,X_33)))) )],[refute_0_430,refute_0_443]) ).
cnf(refute_0_445,plain,
meet(complement(meet(top,X1)),join(zero,complement(X1))) = meet(complement(meet(top,X1)),complement(meet(top,X1))),
inference(subst,[],[refute_0_444:[bind(X0,$fot(complement(meet(top,X1)))),bind(X_33,$fot(X1))]]) ).
cnf(refute_0_446,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_447,plain,
( join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),complement(meet(top,X1))))]]) ).
cnf(refute_0_448,plain,
( meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),join(zero,complement(X1))),meet(complement(meet(top,X1)),complement(meet(top,X1)))) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))))),bind(Z,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_451,plain,
( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),complement(meet(top,X1))) )],[refute_0_426,refute_0_451]) ).
cnf(refute_0_453,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != complement(meet(top,X1))
| join(zero,complement(X1)) = complement(meet(top,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),complement(meet(top,X1))) ),[0],$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_454,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),complement(meet(top,X1))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
join(zero,complement(X1)) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_408,refute_0_454]) ).
cnf(refute_0_456,plain,
join(zero,complement(complement(one))) = complement(meet(top,complement(one))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_457,plain,
join(complement(complement(one)),zero) = join(zero,complement(complement(one))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(one))))]]) ).
cnf(refute_0_458,plain,
( join(complement(complement(one)),zero) != join(zero,complement(complement(one)))
| join(zero,complement(complement(one))) != complement(meet(top,complement(one)))
| join(complement(complement(one)),zero) = complement(meet(top,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(complement(one)),zero))),bind(Y,$fot(join(zero,complement(complement(one))))),bind(Z,$fot(complement(meet(top,complement(one)))))]]) ).
cnf(refute_0_459,plain,
( join(zero,complement(complement(one))) != complement(meet(top,complement(one)))
| join(complement(complement(one)),zero) = complement(meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),join(zero,complement(complement(one)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(complement(complement(one)),zero) = complement(meet(top,complement(one))),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),complement(meet(top,complement(one)))) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_462,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_96,refute_0_461]) ).
cnf(refute_0_463,plain,
meet(one,complement(one)) = zero,
inference(subst,[],[refute_0_462:[bind(X0,$fot(one))]]) ).
cnf(refute_0_464,plain,
composition(one,complement(one)) = complement(one),
inference(subst,[],[refute_0_269:[bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_465,plain,
meet(one,composition(one,complement(one))) = meet(one,composition(one,complement(one))),
introduced(tautology,[refl,[$fot(meet(one,composition(one,complement(one))))]]) ).
cnf(refute_0_466,plain,
( composition(one,complement(one)) != complement(one)
| meet(one,composition(one,complement(one))) != meet(one,composition(one,complement(one)))
| meet(one,composition(one,complement(one))) = meet(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(one,complement(one))),meet(one,composition(one,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_467,plain,
( composition(one,complement(one)) != complement(one)
| meet(one,composition(one,complement(one))) = meet(one,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(one,composition(one,complement(one))),meet(one,composition(one,complement(one)))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
meet(one,composition(one,complement(one))) = meet(one,complement(one)),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
( meet(one,complement(one)) != zero
| meet(one,composition(one,complement(one))) != meet(one,complement(one))
| meet(one,composition(one,complement(one))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(one,composition(one,complement(one))))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_470,plain,
( meet(one,complement(one)) != zero
| meet(one,composition(one,complement(one))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,composition(one,complement(one))),meet(one,complement(one))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
meet(one,composition(one,complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_463,refute_0_470]) ).
cnf(refute_0_472,plain,
join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),meet(one,composition(one,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),meet(one,composition(one,complement(one)))))]]) ).
cnf(refute_0_473,plain,
( join(complement(complement(one)),meet(one,composition(one,complement(one)))) != join(complement(complement(one)),meet(one,composition(one,complement(one))))
| meet(one,composition(one,complement(one))) != zero
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(complement(complement(one)),meet(one,composition(one,complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_474,plain,
( meet(one,composition(one,complement(one))) != zero
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(complement(complement(one)),meet(one,composition(one,complement(one))))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),zero),
inference(resolve,[$cnf( $equal(meet(one,composition(one,complement(one))),zero) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( join(complement(complement(one)),meet(one,composition(one,complement(one)))) != join(complement(complement(one)),zero)
| join(complement(complement(one)),zero) != complement(meet(top,complement(one)))
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = complement(meet(top,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(complement(one)),meet(one,composition(one,complement(one)))))),bind(Y,$fot(join(complement(complement(one)),zero))),bind(Z,$fot(complement(meet(top,complement(one)))))]]) ).
cnf(refute_0_477,plain,
( join(complement(complement(one)),zero) != complement(meet(top,complement(one)))
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = complement(meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(complement(complement(one)),zero)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
join(complement(complement(one)),meet(one,composition(one,complement(one)))) = complement(meet(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),complement(meet(top,complement(one)))) )],[refute_0_460,refute_0_477]) ).
cnf(refute_0_479,plain,
( join(complement(complement(one)),meet(one,composition(one,complement(one)))) != complement(meet(top,complement(one)))
| one != join(complement(complement(one)),meet(one,composition(one,complement(one))))
| one = complement(meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(one,complement(one))))) ),[1],$fot(complement(meet(top,complement(one))))]]) ).
cnf(refute_0_480,plain,
( one != join(complement(complement(one)),meet(one,composition(one,complement(one))))
| one = complement(meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),complement(meet(top,complement(one)))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
one = complement(meet(top,complement(one))),
inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(one,complement(one))))) )],[refute_0_396,refute_0_480]) ).
cnf(refute_0_482,plain,
( one != complement(meet(top,complement(one)))
| complement(meet(top,complement(one))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(top,complement(one)))))]]) ).
cnf(refute_0_483,plain,
complement(meet(top,complement(one))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(top,complement(one)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
( complement(meet(top,complement(one))) != one
| top != join(zero,join(complement(meet(top,complement(one))),meet(top,meet(top,complement(one)))))
| top = join(zero,join(one,meet(top,meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(meet(top,complement(one))),meet(top,meet(top,complement(one)))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_485,plain,
( top != join(zero,join(complement(meet(top,complement(one))),meet(top,meet(top,complement(one)))))
| top = join(zero,join(one,meet(top,meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
top = join(zero,join(one,meet(top,meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(meet(top,complement(one))),meet(top,meet(top,complement(one)))))) )],[refute_0_379,refute_0_485]) ).
cnf(refute_0_487,plain,
join(X_56,join(X_57,X_58)) = join(join(X_56,X_57),X_58),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X_56)),bind(X1,$fot(X_57)),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_488,plain,
join(X_57,X_56) = join(X_56,X_57),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_57)),bind(X1,$fot(X_56))]]) ).
cnf(refute_0_489,plain,
( join(X_57,X_56) != join(X_56,X_57)
| join(X_56,X_57) = join(X_57,X_56) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_57,X_56))),bind(Y,$fot(join(X_56,X_57)))]]) ).
cnf(refute_0_490,plain,
join(X_56,X_57) = join(X_57,X_56),
inference(resolve,[$cnf( $equal(join(X_57,X_56),join(X_56,X_57)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
( join(X_56,X_57) != join(X_57,X_56)
| join(X_56,join(X_57,X_58)) != join(join(X_56,X_57),X_58)
| join(X_56,join(X_57,X_58)) = join(join(X_57,X_56),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,join(X_57,X_58)),join(join(X_56,X_57),X_58)) ),[1,0],$fot(join(X_57,X_56))]]) ).
cnf(refute_0_492,plain,
( join(X_56,join(X_57,X_58)) != join(join(X_56,X_57),X_58)
| join(X_56,join(X_57,X_58)) = join(join(X_57,X_56),X_58) ),
inference(resolve,[$cnf( $equal(join(X_56,X_57),join(X_57,X_56)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
join(X_56,join(X_57,X_58)) = join(join(X_57,X_56),X_58),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,X_58)),join(join(X_56,X_57),X_58)) )],[refute_0_487,refute_0_492]) ).
cnf(refute_0_494,plain,
join(join(X_57,X_56),X_58) = join(X_57,join(X_56,X_58)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_57)),bind(X1,$fot(X_56)),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_495,plain,
( join(X_56,join(X_57,X_58)) != join(join(X_57,X_56),X_58)
| join(join(X_57,X_56),X_58) != join(X_57,join(X_56,X_58))
| join(X_56,join(X_57,X_58)) = join(X_57,join(X_56,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,join(X_57,X_58)),join(X_57,join(X_56,X_58))) ),[0],$fot(join(join(X_57,X_56),X_58))]]) ).
cnf(refute_0_496,plain,
( join(X_56,join(X_57,X_58)) != join(join(X_57,X_56),X_58)
| join(X_56,join(X_57,X_58)) = join(X_57,join(X_56,X_58)) ),
inference(resolve,[$cnf( $equal(join(join(X_57,X_56),X_58),join(X_57,join(X_56,X_58))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
join(X_56,join(X_57,X_58)) = join(X_57,join(X_56,X_58)),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,X_58)),join(join(X_57,X_56),X_58)) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
( join(X_56,join(X_57,X_58)) != join(X_57,join(X_56,X_58))
| join(X_57,join(X_56,X_58)) = join(X_56,join(X_57,X_58)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_56,join(X_57,X_58)))),bind(Y,$fot(join(X_57,join(X_56,X_58))))]]) ).
cnf(refute_0_499,plain,
join(X_57,join(X_56,X_58)) = join(X_56,join(X_57,X_58)),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,X_58)),join(X_57,join(X_56,X_58))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
join(zero,join(one,meet(top,meet(top,complement(one))))) = join(one,join(zero,meet(top,meet(top,complement(one))))),
inference(subst,[],[refute_0_499:[bind(X_56,$fot(one)),bind(X_57,$fot(zero)),bind(X_58,$fot(meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_501,plain,
( join(zero,join(one,meet(top,meet(top,complement(one))))) != join(one,join(zero,meet(top,meet(top,complement(one)))))
| top != join(zero,join(one,meet(top,meet(top,complement(one)))))
| top = join(one,join(zero,meet(top,meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(one,meet(top,meet(top,complement(one)))))) ),[1],$fot(join(one,join(zero,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_502,plain,
( top != join(zero,join(one,meet(top,meet(top,complement(one)))))
| top = join(one,join(zero,meet(top,meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(one,meet(top,meet(top,complement(one))))),join(one,join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
top = join(one,join(zero,meet(top,meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(top,join(zero,join(one,meet(top,meet(top,complement(one)))))) )],[refute_0_486,refute_0_502]) ).
cnf(refute_0_504,plain,
( top != join(one,join(zero,meet(top,meet(top,complement(one)))))
| join(one,join(zero,meet(top,meet(top,complement(one))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(zero,meet(top,meet(top,complement(one)))))))]]) ).
cnf(refute_0_505,plain,
join(one,join(zero,meet(top,meet(top,complement(one))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
( join(X0,join(one,join(zero,meet(top,meet(top,complement(one)))))) != join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))
| join(one,join(zero,meet(top,meet(top,complement(one))))) != top
| join(X0,top) = join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(zero,meet(top,meet(top,complement(one)))))),join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_507,plain,
( join(X0,join(one,join(zero,meet(top,meet(top,complement(one)))))) != join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))
| join(X0,top) = join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,meet(top,meet(top,complement(one))))),top) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
join(X0,top) = join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(zero,meet(top,meet(top,complement(one)))))),join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_367,refute_0_507]) ).
cnf(refute_0_509,plain,
join(join(X0,one),meet(top,meet(top,complement(one)))) = join(X0,join(one,meet(top,meet(top,complement(one))))),
inference(subst,[],[refute_0_211:[bind(X1,$fot(one)),bind(X2,$fot(meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_510,plain,
join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) = join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))),
introduced(tautology,[refl,[$fot(join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_511,plain,
( join(join(X0,one),meet(top,meet(top,complement(one)))) != join(X0,join(one,meet(top,meet(top,complement(one)))))
| join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) != join(zero,join(join(X0,one),meet(top,meet(top,complement(one)))))
| join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))),join(zero,join(join(X0,one),meet(top,meet(top,complement(one)))))) ),[1,1],$fot(join(X0,join(one,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_512,plain,
( join(join(X0,one),meet(top,meet(top,complement(one)))) != join(X0,join(one,meet(top,meet(top,complement(one)))))
| join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))),join(zero,join(join(X0,one),meet(top,meet(top,complement(one)))))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),
inference(resolve,[$cnf( $equal(join(join(X0,one),meet(top,meet(top,complement(one)))),join(X0,join(one,meet(top,meet(top,complement(one)))))) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) = join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))),
inference(subst,[],[refute_0_499:[bind(X_56,$fot(zero)),bind(X_57,$fot(join(X0,one))),bind(X_58,$fot(meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_515,plain,
( join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) != join(zero,join(join(X0,one),meet(top,meet(top,complement(one)))))
| join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) != join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))
| join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))))),bind(Y,$fot(join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))))),bind(Z,$fot(join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))))]]) ).
cnf(refute_0_516,plain,
( join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))) != join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))
| join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))),join(zero,join(join(X0,one),meet(top,meet(top,complement(one)))))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),
inference(resolve,[$cnf( $equal(join(zero,join(join(X0,one),meet(top,meet(top,complement(one))))),join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
( join(X0,top) != join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))
| join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))) != join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))
| join(X0,top) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,top),join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))) ),[0],$fot(join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_519,plain,
( join(X0,top) != join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))
| join(X0,top) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(zero,meet(top,meet(top,complement(one))))),join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
join(X0,top) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),
inference(resolve,[$cnf( $equal(join(X0,top),join(join(X0,one),join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_508,refute_0_519]) ).
cnf(refute_0_521,plain,
join(top,join(zero,X_58)) = join(join(top,zero),X_58),
inference(subst,[],[refute_0_209:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_522,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_103:[bind(X0,$fot(top))]]) ).
cnf(refute_0_523,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_524,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_523]) ).
cnf(refute_0_525,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_522,refute_0_524]) ).
cnf(refute_0_526,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_527,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( join(top,join(zero,X_58)) != join(join(top,zero),X_58)
| join(top,zero) != top
| join(top,join(zero,X_58)) = join(top,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_58)),join(join(top,zero),X_58)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_529,plain,
( join(top,join(zero,X_58)) != join(join(top,zero),X_58)
| join(top,join(zero,X_58)) = join(top,X_58) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
join(top,join(zero,X_58)) = join(top,X_58),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_58)),join(join(top,zero),X_58)) )],[refute_0_521,refute_0_529]) ).
cnf(refute_0_531,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(subst,[],[refute_0_530:[bind(X_58,$fot(X0))]]) ).
cnf(refute_0_532,plain,
join(X_56,join(top,join(zero,zero))) = join(join(X_56,top),join(zero,zero)),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X_56)),bind(X1,$fot(top)),bind(X2,$fot(join(zero,zero)))]]) ).
cnf(refute_0_533,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_534,plain,
converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
inference(subst,[],[refute_0_533:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_535,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_536,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( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_535]) ).
cnf(refute_0_537,plain,
converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_534,refute_0_536]) ).
cnf(refute_0_538,plain,
converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(converse(join(zero,complement(converse(converse(X0)))))))]]) ).
cnf(refute_0_539,plain,
converse(join(converse(X_10),complement(converse(X_10)))) = join(X_10,converse(complement(converse(X_10)))),
inference(subst,[],[refute_0_537:[bind(X0,$fot(X_10)),bind(X_5,$fot(complement(converse(X_10))))]]) ).
cnf(refute_0_540,plain,
top = join(converse(X_10),complement(converse(X_10))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(converse(X_10)))]]) ).
cnf(refute_0_541,plain,
( top != join(converse(X_10),complement(converse(X_10)))
| join(converse(X_10),complement(converse(X_10))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_10),complement(converse(X_10)))))]]) ).
cnf(refute_0_542,plain,
join(converse(X_10),complement(converse(X_10))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_10),complement(converse(X_10)))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( converse(join(converse(X_10),complement(converse(X_10)))) != join(X_10,converse(complement(converse(X_10))))
| join(converse(X_10),complement(converse(X_10))) != top
| converse(top) = join(X_10,converse(complement(converse(X_10)))) ),
introduced(tautology,[equality,[$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_544,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( $equal(join(converse(X_10),complement(converse(X_10))),top) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
converse(top) = join(X_10,converse(complement(converse(X_10)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_10),complement(converse(X_10)))),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_539,refute_0_544]) ).
cnf(refute_0_546,plain,
converse(top) = join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0)))))),
inference(subst,[],[refute_0_545:[bind(X_10,$fot(join(X_4,converse(X0))))]]) ).
cnf(refute_0_547,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
inference(subst,[],[refute_0_533:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_548,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_549,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( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_548]) ).
cnf(refute_0_550,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_547,refute_0_549]) ).
cnf(refute_0_551,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
| converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
| converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
introduced(tautology,[equality,[$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_552,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( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) )],[refute_0_546,refute_0_552]) ).
cnf(refute_0_554,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_555,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_533,refute_0_554]) ).
cnf(refute_0_556,plain,
join(converse(X0),converse(complement(join(converse(X_4),X0)))) = converse(join(X0,complement(join(converse(X_4),X0)))),
inference(subst,[],[refute_0_555:[bind(X1,$fot(complement(join(converse(X_4),X0))))]]) ).
cnf(refute_0_557,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,[$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))]]) ).
cnf(refute_0_558,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
| join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
| join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
introduced(tautology,[equality,[$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_559,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( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_4),X0)))),converse(join(X0,complement(join(converse(X_4),X0))))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_562,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_38:[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,$fot(join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))))]]) ).
cnf(refute_0_563,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
introduced(tautology,[equality,[$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_566,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( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))) )],[refute_0_553,refute_0_566]) ).
cnf(refute_0_568,plain,
converse(top) = join(X_27,converse(join(complement(converse(X_27)),complement(join(converse(X_27),complement(converse(X_27))))))),
inference(subst,[],[refute_0_567:[bind(X0,$fot(complement(converse(X_27)))),bind(X_4,$fot(X_27))]]) ).
cnf(refute_0_569,plain,
top = join(converse(X_27),complement(converse(X_27))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(converse(X_27)))]]) ).
cnf(refute_0_570,plain,
( top != join(converse(X_27),complement(converse(X_27)))
| join(converse(X_27),complement(converse(X_27))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_27),complement(converse(X_27)))))]]) ).
cnf(refute_0_571,plain,
join(converse(X_27),complement(converse(X_27))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_27),complement(converse(X_27)))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
( converse(top) != join(X_27,converse(join(complement(converse(X_27)),complement(join(converse(X_27),complement(converse(X_27)))))))
| join(converse(X_27),complement(converse(X_27))) != top
| converse(top) = join(X_27,converse(join(complement(converse(X_27)),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_27,converse(join(complement(converse(X_27)),complement(join(converse(X_27),complement(converse(X_27)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_573,plain,
( converse(top) != join(X_27,converse(join(complement(converse(X_27)),complement(join(converse(X_27),complement(converse(X_27)))))))
| converse(top) = join(X_27,converse(join(complement(converse(X_27)),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_27),complement(converse(X_27))),top) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
converse(top) = join(X_27,converse(join(complement(converse(X_27)),complement(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(complement(converse(X_27)),complement(join(converse(X_27),complement(converse(X_27)))))))) )],[refute_0_568,refute_0_573]) ).
cnf(refute_0_575,plain,
converse(join(converse(X0),join(X_15,X_16))) = join(X0,converse(join(X_15,X_16))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(join(X_15,X_16)))]]) ).
cnf(refute_0_576,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_577,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_578,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_533,refute_0_578]) ).
cnf(refute_0_580,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_0_555:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_581,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_0_582,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
converse(join(X_15,X_16)) = converse(join(X_16,X_15)),
inference(subst,[],[refute_0_583:[bind(X0,$fot(X_15)),bind(X1,$fot(X_16))]]) ).
cnf(refute_0_585,plain,
( converse(join(X_15,X_16)) != converse(join(X_16,X_15))
| converse(join(converse(X0),join(X_15,X_16))) != join(X0,converse(join(X_15,X_16)))
| converse(join(converse(X0),join(X_15,X_16))) = join(X0,converse(join(X_16,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_15,X_16))),join(X0,converse(join(X_15,X_16)))) ),[1,1],$fot(converse(join(X_16,X_15)))]]) ).
cnf(refute_0_586,plain,
( converse(join(converse(X0),join(X_15,X_16))) != join(X0,converse(join(X_15,X_16)))
| converse(join(converse(X0),join(X_15,X_16))) = join(X0,converse(join(X_16,X_15))) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,X_16)),converse(join(X_16,X_15))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
converse(join(converse(X0),join(X_15,X_16))) = join(X0,converse(join(X_16,X_15))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_15,X_16))),join(X0,converse(join(X_15,X_16)))) )],[refute_0_575,refute_0_586]) ).
cnf(refute_0_588,plain,
( converse(join(converse(X0),join(X_15,X_16))) != join(X0,converse(join(X_15,X_16)))
| converse(join(converse(X0),join(X_15,X_16))) != join(X0,converse(join(X_16,X_15)))
| join(X0,converse(join(X_15,X_16))) = join(X0,converse(join(X_16,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_15,X_16))),join(X0,converse(join(X_16,X_15)))) ),[0],$fot(join(X0,converse(join(X_15,X_16))))]]) ).
cnf(refute_0_589,plain,
( converse(join(converse(X0),join(X_15,X_16))) != join(X0,converse(join(X_16,X_15)))
| join(X0,converse(join(X_15,X_16))) = join(X0,converse(join(X_16,X_15))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_15,X_16))),join(X0,converse(join(X_15,X_16)))) )],[refute_0_575,refute_0_588]) ).
cnf(refute_0_590,plain,
join(X0,converse(join(X_15,X_16))) = join(X0,converse(join(X_16,X_15))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_15,X_16))),join(X0,converse(join(X_16,X_15)))) )],[refute_0_587,refute_0_589]) ).
cnf(refute_0_591,plain,
( join(X0,converse(join(X_15,X_16))) != join(X0,converse(join(X_16,X_15)))
| join(X0,converse(join(X_16,X_15))) = join(X0,converse(join(X_15,X_16))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,converse(join(X_15,X_16))))),bind(Y,$fot(join(X0,converse(join(X_16,X_15)))))]]) ).
cnf(refute_0_592,plain,
join(X0,converse(join(X_16,X_15))) = join(X0,converse(join(X_15,X_16))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_15,X_16))),join(X0,converse(join(X_16,X_15)))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(X_27,converse(join(complement(converse(X_27)),complement(top)))) = join(X_27,converse(join(complement(top),complement(converse(X_27))))),
inference(subst,[],[refute_0_592:[bind(X0,$fot(X_27)),bind(X_15,$fot(complement(top))),bind(X_16,$fot(complement(converse(X_27))))]]) ).
cnf(refute_0_594,plain,
( converse(top) != join(X_27,converse(join(complement(converse(X_27)),complement(top))))
| join(X_27,converse(join(complement(converse(X_27)),complement(top)))) != join(X_27,converse(join(complement(top),complement(converse(X_27)))))
| converse(top) = join(X_27,converse(join(complement(top),complement(converse(X_27))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_27,converse(join(complement(top),complement(converse(X_27)))))) ),[0],$fot(join(X_27,converse(join(complement(converse(X_27)),complement(top)))))]]) ).
cnf(refute_0_595,plain,
( converse(top) != join(X_27,converse(join(complement(converse(X_27)),complement(top))))
| converse(top) = join(X_27,converse(join(complement(top),complement(converse(X_27))))) ),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(complement(converse(X_27)),complement(top)))),join(X_27,converse(join(complement(top),complement(converse(X_27)))))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
converse(top) = join(X_27,converse(join(complement(top),complement(converse(X_27))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(complement(converse(X_27)),complement(top))))) )],[refute_0_574,refute_0_595]) ).
cnf(refute_0_597,plain,
join(complement(top),complement(converse(X_27))) = join(complement(top),complement(converse(X_27))),
introduced(tautology,[refl,[$fot(join(complement(top),complement(converse(X_27))))]]) ).
cnf(refute_0_598,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_27))) != join(complement(top),complement(converse(X_27)))
| join(complement(top),complement(converse(X_27))) = join(zero,complement(converse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(converse(X_27))),join(complement(top),complement(converse(X_27)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_599,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_27))) = join(zero,complement(converse(X_27))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_27))),join(complement(top),complement(converse(X_27)))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
join(complement(top),complement(converse(X_27))) = join(zero,complement(converse(X_27))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_599]) ).
cnf(refute_0_601,plain,
converse(join(complement(top),complement(converse(X_27)))) = converse(join(complement(top),complement(converse(X_27)))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_27)))))]]) ).
cnf(refute_0_602,plain,
( converse(join(complement(top),complement(converse(X_27)))) != converse(join(complement(top),complement(converse(X_27))))
| join(complement(top),complement(converse(X_27))) != join(zero,complement(converse(X_27)))
| converse(join(complement(top),complement(converse(X_27)))) = converse(join(zero,complement(converse(X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_27)))),converse(join(complement(top),complement(converse(X_27))))) ),[1,0],$fot(join(zero,complement(converse(X_27))))]]) ).
cnf(refute_0_603,plain,
( join(complement(top),complement(converse(X_27))) != join(zero,complement(converse(X_27)))
| converse(join(complement(top),complement(converse(X_27)))) = converse(join(zero,complement(converse(X_27)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_27)))),converse(join(complement(top),complement(converse(X_27))))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
converse(join(complement(top),complement(converse(X_27)))) = converse(join(zero,complement(converse(X_27)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_27))),join(zero,complement(converse(X_27)))) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
join(X_27,converse(join(complement(top),complement(converse(X_27))))) = join(X_27,converse(join(complement(top),complement(converse(X_27))))),
introduced(tautology,[refl,[$fot(join(X_27,converse(join(complement(top),complement(converse(X_27))))))]]) ).
cnf(refute_0_606,plain,
( converse(join(complement(top),complement(converse(X_27)))) != converse(join(zero,complement(converse(X_27))))
| join(X_27,converse(join(complement(top),complement(converse(X_27))))) != join(X_27,converse(join(complement(top),complement(converse(X_27)))))
| join(X_27,converse(join(complement(top),complement(converse(X_27))))) = join(X_27,converse(join(zero,complement(converse(X_27))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_27,converse(join(complement(top),complement(converse(X_27))))),join(X_27,converse(join(complement(top),complement(converse(X_27)))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_27)))))]]) ).
cnf(refute_0_607,plain,
( converse(join(complement(top),complement(converse(X_27)))) != converse(join(zero,complement(converse(X_27))))
| join(X_27,converse(join(complement(top),complement(converse(X_27))))) = join(X_27,converse(join(zero,complement(converse(X_27))))) ),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(complement(top),complement(converse(X_27))))),join(X_27,converse(join(complement(top),complement(converse(X_27)))))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
join(X_27,converse(join(complement(top),complement(converse(X_27))))) = join(X_27,converse(join(zero,complement(converse(X_27))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_27)))),converse(join(zero,complement(converse(X_27))))) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
( converse(top) != join(X_27,converse(join(complement(top),complement(converse(X_27)))))
| join(X_27,converse(join(complement(top),complement(converse(X_27))))) != join(X_27,converse(join(zero,complement(converse(X_27)))))
| converse(top) = join(X_27,converse(join(zero,complement(converse(X_27))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_27,converse(join(zero,complement(converse(X_27)))))) ),[0],$fot(join(X_27,converse(join(complement(top),complement(converse(X_27))))))]]) ).
cnf(refute_0_610,plain,
( converse(top) != join(X_27,converse(join(complement(top),complement(converse(X_27)))))
| converse(top) = join(X_27,converse(join(zero,complement(converse(X_27))))) ),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(complement(top),complement(converse(X_27))))),join(X_27,converse(join(zero,complement(converse(X_27)))))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
converse(top) = join(X_27,converse(join(zero,complement(converse(X_27))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(complement(top),complement(converse(X_27)))))) )],[refute_0_596,refute_0_610]) ).
cnf(refute_0_612,plain,
converse(top) = join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))),
inference(subst,[],[refute_0_611:[bind(X_27,$fot(converse(X0)))]]) ).
cnf(refute_0_613,plain,
( converse(top) != join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))
| join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_614,plain,
join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
( converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) != converse(top)
| converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_616,plain,
( converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))),converse(top)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_538,refute_0_616]) ).
cnf(refute_0_618,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_54:[bind(X0,$fot(top))]]) ).
cnf(refute_0_619,plain,
( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| converse(converse(top)) != top
| top = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_620,plain,
( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_622,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_623,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_623]) ).
cnf(refute_0_625,plain,
join(zero,complement(converse(converse(X0)))) = join(zero,complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(join(zero,complement(converse(converse(X0)))))]]) ).
cnf(refute_0_626,plain,
( complement(converse(converse(X0))) != complement(X0)
| join(zero,complement(converse(converse(X0)))) != join(zero,complement(converse(converse(X0))))
| join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(converse(converse(X0))))) ),[1,1],$fot(complement(X0))]]) ).
cnf(refute_0_627,plain,
( complement(converse(converse(X0))) != complement(X0)
| join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(converse(converse(X0))))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(converse(converse(X0)))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(zero,complement(converse(converse(X0))))))]]) ).
cnf(refute_0_630,plain,
( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(converse(converse(X0))))
| join(zero,complement(converse(converse(X0)))) != join(zero,complement(X0))
| converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(converse(join(zero,complement(converse(converse(X0)))))))),bind(Y,$fot(join(zero,complement(converse(converse(X0)))))),bind(Z,$fot(join(zero,complement(X0))))]]) ).
cnf(refute_0_631,plain,
( join(zero,complement(converse(converse(X0)))) != join(zero,complement(X0))
| converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(X0)))))),join(zero,complement(converse(converse(X0))))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(X0))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_634,plain,
( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(X0))
| join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[1,1],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_635,plain,
( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(X0))
| join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(X0)))))),join(zero,complement(X0))) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) != join(X0,join(zero,complement(X0)))
| top != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[1],$fot(join(X0,join(zero,complement(X0))))]]) ).
cnf(refute_0_638,plain,
( top != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,join(zero,complement(X0)))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_620,refute_0_638]) ).
cnf(refute_0_640,plain,
top = join(X0,join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_617,refute_0_639]) ).
cnf(refute_0_641,plain,
top = join(top,join(zero,complement(top))),
inference(subst,[],[refute_0_640:[bind(X0,$fot(top))]]) ).
cnf(refute_0_642,plain,
( complement(top) != zero
| top != join(top,join(zero,complement(top)))
| top = join(top,join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(zero,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_643,plain,
( top != join(top,join(zero,complement(top)))
| top = join(top,join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_642]) ).
cnf(refute_0_644,plain,
top = join(top,join(zero,zero)),
inference(resolve,[$cnf( $equal(top,join(top,join(zero,complement(top)))) )],[refute_0_641,refute_0_643]) ).
cnf(refute_0_645,plain,
( top != join(top,join(zero,zero))
| join(top,join(zero,zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(zero,zero))))]]) ).
cnf(refute_0_646,plain,
join(top,join(zero,zero)) = top,
inference(resolve,[$cnf( $equal(top,join(top,join(zero,zero))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
( join(X_56,join(top,join(zero,zero))) != join(join(X_56,top),join(zero,zero))
| join(top,join(zero,zero)) != top
| join(X_56,top) = join(join(X_56,top),join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,join(top,join(zero,zero))),join(join(X_56,top),join(zero,zero))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_648,plain,
( join(X_56,join(top,join(zero,zero))) != join(join(X_56,top),join(zero,zero))
| join(X_56,top) = join(join(X_56,top),join(zero,zero)) ),
inference(resolve,[$cnf( $equal(join(top,join(zero,zero)),top) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
join(X_56,top) = join(join(X_56,top),join(zero,zero)),
inference(resolve,[$cnf( $equal(join(X_56,join(top,join(zero,zero))),join(join(X_56,top),join(zero,zero))) )],[refute_0_532,refute_0_648]) ).
cnf(refute_0_650,plain,
join(join(zero,X_56),zero) = join(zero,join(X_56,zero)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(zero)),bind(X1,$fot(X_56)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_651,plain,
join(top,join(join(zero,X_56),zero)) = join(top,join(join(zero,X_56),zero)),
introduced(tautology,[refl,[$fot(join(top,join(join(zero,X_56),zero)))]]) ).
cnf(refute_0_652,plain,
( join(join(zero,X_56),zero) != join(zero,join(X_56,zero))
| join(top,join(join(zero,X_56),zero)) != join(top,join(join(zero,X_56),zero))
| join(top,join(join(zero,X_56),zero)) = join(top,join(zero,join(X_56,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(zero,X_56),zero)),join(top,join(join(zero,X_56),zero))) ),[1,1],$fot(join(zero,join(X_56,zero)))]]) ).
cnf(refute_0_653,plain,
( join(join(zero,X_56),zero) != join(zero,join(X_56,zero))
| join(top,join(join(zero,X_56),zero)) = join(top,join(zero,join(X_56,zero))) ),
inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_56),zero)),join(top,join(join(zero,X_56),zero))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
join(top,join(join(zero,X_56),zero)) = join(top,join(zero,join(X_56,zero))),
inference(resolve,[$cnf( $equal(join(join(zero,X_56),zero),join(zero,join(X_56,zero))) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
join(X0,join(X_56,X_57)) = join(join(X_56,X_57),X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(join(X_56,X_57)))]]) ).
cnf(refute_0_656,plain,
join(X_56,join(X_57,X0)) = join(join(X_56,X_57),X0),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X_56)),bind(X1,$fot(X_57)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_657,plain,
( join(X_56,join(X_57,X0)) != join(join(X_56,X_57),X0)
| join(join(X_56,X_57),X0) = join(X_56,join(X_57,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_56,join(X_57,X0)))),bind(Y,$fot(join(join(X_56,X_57),X0)))]]) ).
cnf(refute_0_658,plain,
join(join(X_56,X_57),X0) = join(X_56,join(X_57,X0)),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,X0)),join(join(X_56,X_57),X0)) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
( join(X0,join(X_56,X_57)) != join(join(X_56,X_57),X0)
| join(join(X_56,X_57),X0) != join(X_56,join(X_57,X0))
| join(X0,join(X_56,X_57)) = join(X_56,join(X_57,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_56,X_57)),join(X_56,join(X_57,X0))) ),[0],$fot(join(join(X_56,X_57),X0))]]) ).
cnf(refute_0_660,plain,
( join(X0,join(X_56,X_57)) != join(join(X_56,X_57),X0)
| join(X0,join(X_56,X_57)) = join(X_56,join(X_57,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_57),X0),join(X_56,join(X_57,X0))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
join(X0,join(X_56,X_57)) = join(X_56,join(X_57,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_56,X_57)),join(join(X_56,X_57),X0)) )],[refute_0_655,refute_0_660]) ).
cnf(refute_0_662,plain,
join(zero,join(top,join(zero,X_56))) = join(top,join(join(zero,X_56),zero)),
inference(subst,[],[refute_0_661:[bind(X0,$fot(zero)),bind(X_56,$fot(top)),bind(X_57,$fot(join(zero,X_56)))]]) ).
cnf(refute_0_663,plain,
( join(top,join(join(zero,X_56),zero)) != join(top,join(zero,join(X_56,zero)))
| join(zero,join(top,join(zero,X_56))) != join(top,join(join(zero,X_56),zero))
| join(zero,join(top,join(zero,X_56))) = join(top,join(zero,join(X_56,zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(top,join(zero,X_56))))),bind(Y,$fot(join(top,join(join(zero,X_56),zero)))),bind(Z,$fot(join(top,join(zero,join(X_56,zero)))))]]) ).
cnf(refute_0_664,plain,
( join(top,join(join(zero,X_56),zero)) != join(top,join(zero,join(X_56,zero)))
| join(zero,join(top,join(zero,X_56))) = join(top,join(zero,join(X_56,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,join(zero,X_56))),join(top,join(join(zero,X_56),zero))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
join(zero,join(top,join(zero,X_56))) = join(top,join(zero,join(X_56,zero))),
inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_56),zero)),join(top,join(zero,join(X_56,zero)))) )],[refute_0_654,refute_0_664]) ).
cnf(refute_0_666,plain,
( join(X0,join(X_56,X_57)) != join(X_56,join(X_57,X0))
| join(X_56,join(X_57,X0)) = join(X0,join(X_56,X_57)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X_56,X_57)))),bind(Y,$fot(join(X_56,join(X_57,X0))))]]) ).
cnf(refute_0_667,plain,
join(X_56,join(X_57,X0)) = join(X0,join(X_56,X_57)),
inference(resolve,[$cnf( $equal(join(X0,join(X_56,X_57)),join(X_56,join(X_57,X0))) )],[refute_0_661,refute_0_666]) ).
cnf(refute_0_668,plain,
join(zero,join(X_56,top)) = join(top,join(zero,X_56)),
inference(subst,[],[refute_0_667:[bind(X0,$fot(top)),bind(X_56,$fot(zero)),bind(X_57,$fot(X_56))]]) ).
cnf(refute_0_669,plain,
join(zero,join(zero,join(X_56,top))) = join(zero,join(zero,join(X_56,top))),
introduced(tautology,[refl,[$fot(join(zero,join(zero,join(X_56,top))))]]) ).
cnf(refute_0_670,plain,
( join(zero,join(X_56,top)) != join(top,join(zero,X_56))
| join(zero,join(zero,join(X_56,top))) != join(zero,join(zero,join(X_56,top)))
| join(zero,join(zero,join(X_56,top))) = join(zero,join(top,join(zero,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,join(X_56,top))),join(zero,join(zero,join(X_56,top)))) ),[1,1],$fot(join(top,join(zero,X_56)))]]) ).
cnf(refute_0_671,plain,
( join(zero,join(X_56,top)) != join(top,join(zero,X_56))
| join(zero,join(zero,join(X_56,top))) = join(zero,join(top,join(zero,X_56))) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(X_56,top))),join(zero,join(zero,join(X_56,top)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
join(zero,join(zero,join(X_56,top))) = join(zero,join(top,join(zero,X_56))),
inference(resolve,[$cnf( $equal(join(zero,join(X_56,top)),join(top,join(zero,X_56))) )],[refute_0_668,refute_0_671]) ).
cnf(refute_0_673,plain,
( join(zero,join(top,join(zero,X_56))) != join(top,join(zero,join(X_56,zero)))
| join(zero,join(zero,join(X_56,top))) != join(zero,join(top,join(zero,X_56)))
| join(zero,join(zero,join(X_56,top))) = join(top,join(zero,join(X_56,zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(zero,join(X_56,top))))),bind(Y,$fot(join(zero,join(top,join(zero,X_56))))),bind(Z,$fot(join(top,join(zero,join(X_56,zero)))))]]) ).
cnf(refute_0_674,plain,
( join(zero,join(top,join(zero,X_56))) != join(top,join(zero,join(X_56,zero)))
| join(zero,join(zero,join(X_56,top))) = join(top,join(zero,join(X_56,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(X_56,top))),join(zero,join(top,join(zero,X_56)))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
join(zero,join(zero,join(X_56,top))) = join(top,join(zero,join(X_56,zero))),
inference(resolve,[$cnf( $equal(join(zero,join(top,join(zero,X_56))),join(top,join(zero,join(X_56,zero)))) )],[refute_0_665,refute_0_674]) ).
cnf(refute_0_676,plain,
join(zero,join(join(X_56,top),zero)) = join(zero,join(zero,join(X_56,top))),
inference(subst,[],[refute_0_667:[bind(X0,$fot(zero)),bind(X_56,$fot(zero)),bind(X_57,$fot(join(X_56,top)))]]) ).
cnf(refute_0_677,plain,
join(join(X_56,top),join(zero,zero)) = join(zero,join(join(X_56,top),zero)),
inference(subst,[],[refute_0_667:[bind(X0,$fot(zero)),bind(X_56,$fot(join(X_56,top))),bind(X_57,$fot(zero))]]) ).
cnf(refute_0_678,plain,
( join(join(X_56,top),join(zero,zero)) != join(zero,join(join(X_56,top),zero))
| join(zero,join(join(X_56,top),zero)) != join(zero,join(zero,join(X_56,top)))
| join(join(X_56,top),join(zero,zero)) = join(zero,join(zero,join(X_56,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(X_56,top),join(zero,zero)))),bind(Y,$fot(join(zero,join(join(X_56,top),zero)))),bind(Z,$fot(join(zero,join(zero,join(X_56,top)))))]]) ).
cnf(refute_0_679,plain,
( join(zero,join(join(X_56,top),zero)) != join(zero,join(zero,join(X_56,top)))
| join(join(X_56,top),join(zero,zero)) = join(zero,join(zero,join(X_56,top))) ),
inference(resolve,[$cnf( $equal(join(join(X_56,top),join(zero,zero)),join(zero,join(join(X_56,top),zero))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
join(join(X_56,top),join(zero,zero)) = join(zero,join(zero,join(X_56,top))),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_56,top),zero)),join(zero,join(zero,join(X_56,top)))) )],[refute_0_676,refute_0_679]) ).
cnf(refute_0_681,plain,
( join(join(X_56,top),join(zero,zero)) != join(zero,join(zero,join(X_56,top)))
| join(zero,join(zero,join(X_56,top))) != join(top,join(zero,join(X_56,zero)))
| join(join(X_56,top),join(zero,zero)) = join(top,join(zero,join(X_56,zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(X_56,top),join(zero,zero)))),bind(Y,$fot(join(zero,join(zero,join(X_56,top))))),bind(Z,$fot(join(top,join(zero,join(X_56,zero)))))]]) ).
cnf(refute_0_682,plain,
( join(zero,join(zero,join(X_56,top))) != join(top,join(zero,join(X_56,zero)))
| join(join(X_56,top),join(zero,zero)) = join(top,join(zero,join(X_56,zero))) ),
inference(resolve,[$cnf( $equal(join(join(X_56,top),join(zero,zero)),join(zero,join(zero,join(X_56,top)))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
join(join(X_56,top),join(zero,zero)) = join(top,join(zero,join(X_56,zero))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(X_56,top))),join(top,join(zero,join(X_56,zero)))) )],[refute_0_675,refute_0_682]) ).
cnf(refute_0_684,plain,
( join(X_56,top) != join(join(X_56,top),join(zero,zero))
| join(join(X_56,top),join(zero,zero)) != join(top,join(zero,join(X_56,zero)))
| join(X_56,top) = join(top,join(zero,join(X_56,zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,top),join(top,join(zero,join(X_56,zero)))) ),[0],$fot(join(join(X_56,top),join(zero,zero)))]]) ).
cnf(refute_0_685,plain,
( join(X_56,top) != join(join(X_56,top),join(zero,zero))
| join(X_56,top) = join(top,join(zero,join(X_56,zero))) ),
inference(resolve,[$cnf( $equal(join(join(X_56,top),join(zero,zero)),join(top,join(zero,join(X_56,zero)))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
join(X_56,top) = join(top,join(zero,join(X_56,zero))),
inference(resolve,[$cnf( $equal(join(X_56,top),join(join(X_56,top),join(zero,zero))) )],[refute_0_649,refute_0_685]) ).
cnf(refute_0_687,plain,
join(top,join(zero,join(X_56,zero))) = join(top,join(X_56,zero)),
inference(subst,[],[refute_0_530:[bind(X_58,$fot(join(X_56,zero)))]]) ).
cnf(refute_0_688,plain,
( join(X_56,top) != join(top,join(zero,join(X_56,zero)))
| join(top,join(zero,join(X_56,zero))) != join(top,join(X_56,zero))
| join(X_56,top) = join(top,join(X_56,zero)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,top),join(top,join(X_56,zero))) ),[0],$fot(join(top,join(zero,join(X_56,zero))))]]) ).
cnf(refute_0_689,plain,
( join(X_56,top) != join(top,join(zero,join(X_56,zero)))
| join(X_56,top) = join(top,join(X_56,zero)) ),
inference(resolve,[$cnf( $equal(join(top,join(zero,join(X_56,zero))),join(top,join(X_56,zero))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
join(X_56,top) = join(top,join(X_56,zero)),
inference(resolve,[$cnf( $equal(join(X_56,top),join(top,join(zero,join(X_56,zero)))) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
join(join(X0,X1),top) = join(top,join(join(X0,X1),zero)),
inference(subst,[],[refute_0_690:[bind(X_56,$fot(join(X0,X1)))]]) ).
cnf(refute_0_692,plain,
join(X0,join(X1,top)) = join(join(X0,X1),top),
inference(subst,[],[refute_0_209:[bind(X2,$fot(top))]]) ).
cnf(refute_0_693,plain,
( join(X0,join(X1,top)) != join(join(X0,X1),top)
| join(join(X0,X1),top) = join(X0,join(X1,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,top)))),bind(Y,$fot(join(join(X0,X1),top)))]]) ).
cnf(refute_0_694,plain,
join(join(X0,X1),top) = join(X0,join(X1,top)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,top)),join(join(X0,X1),top)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
( join(join(X0,X1),top) != join(X0,join(X1,top))
| join(join(X0,X1),top) != join(top,join(join(X0,X1),zero))
| join(X0,join(X1,top)) = join(top,join(join(X0,X1),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X0,X1),top),join(top,join(join(X0,X1),zero))) ),[0],$fot(join(X0,join(X1,top)))]]) ).
cnf(refute_0_696,plain,
( join(join(X0,X1),top) != join(top,join(join(X0,X1),zero))
| join(X0,join(X1,top)) = join(top,join(join(X0,X1),zero)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),top),join(X0,join(X1,top))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
join(X0,join(X1,top)) = join(top,join(join(X0,X1),zero)),
inference(resolve,[$cnf( $equal(join(join(X0,X1),top),join(top,join(join(X0,X1),zero))) )],[refute_0_691,refute_0_696]) ).
cnf(refute_0_698,plain,
join(top,join(zero,join(X0,X1))) = join(top,join(X0,X1)),
inference(subst,[],[refute_0_530:[bind(X_58,$fot(join(X0,X1)))]]) ).
cnf(refute_0_699,plain,
join(X_58,X_57) = join(X_57,X_58),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_58)),bind(X1,$fot(X_57))]]) ).
cnf(refute_0_700,plain,
( join(X_58,X_57) != join(X_57,X_58)
| join(X_57,X_58) = join(X_58,X_57) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_58,X_57))),bind(Y,$fot(join(X_57,X_58)))]]) ).
cnf(refute_0_701,plain,
join(X_57,X_58) = join(X_58,X_57),
inference(resolve,[$cnf( $equal(join(X_58,X_57),join(X_57,X_58)) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
( join(X_56,join(X_57,X_58)) != join(join(X_56,X_57),X_58)
| join(X_57,X_58) != join(X_58,X_57)
| join(X_56,join(X_58,X_57)) = join(join(X_56,X_57),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,join(X_57,X_58)),join(join(X_56,X_57),X_58)) ),[0,1],$fot(join(X_58,X_57))]]) ).
cnf(refute_0_703,plain,
( join(X_56,join(X_57,X_58)) != join(join(X_56,X_57),X_58)
| join(X_56,join(X_58,X_57)) = join(join(X_56,X_57),X_58) ),
inference(resolve,[$cnf( $equal(join(X_57,X_58),join(X_58,X_57)) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
join(X_56,join(X_58,X_57)) = join(join(X_56,X_57),X_58),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,X_58)),join(join(X_56,X_57),X_58)) )],[refute_0_487,refute_0_703]) ).
cnf(refute_0_705,plain,
join(join(X_56,X_57),X_58) = join(X_56,join(X_57,X_58)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_56)),bind(X1,$fot(X_57)),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_706,plain,
( join(X_56,join(X_58,X_57)) != join(join(X_56,X_57),X_58)
| join(join(X_56,X_57),X_58) != join(X_56,join(X_57,X_58))
| join(X_56,join(X_58,X_57)) = join(X_56,join(X_57,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,join(X_58,X_57)),join(X_56,join(X_57,X_58))) ),[0],$fot(join(join(X_56,X_57),X_58))]]) ).
cnf(refute_0_707,plain,
( join(X_56,join(X_58,X_57)) != join(join(X_56,X_57),X_58)
| join(X_56,join(X_58,X_57)) = join(X_56,join(X_57,X_58)) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_57),X_58),join(X_56,join(X_57,X_58))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
join(X_56,join(X_58,X_57)) = join(X_56,join(X_57,X_58)),
inference(resolve,[$cnf( $equal(join(X_56,join(X_58,X_57)),join(join(X_56,X_57),X_58)) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
( join(X_56,join(X_58,X_57)) != join(X_56,join(X_57,X_58))
| join(X_56,join(X_57,X_58)) = join(X_56,join(X_58,X_57)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_56,join(X_58,X_57)))),bind(Y,$fot(join(X_56,join(X_57,X_58))))]]) ).
cnf(refute_0_710,plain,
join(X_56,join(X_57,X_58)) = join(X_56,join(X_58,X_57)),
inference(resolve,[$cnf( $equal(join(X_56,join(X_58,X_57)),join(X_56,join(X_57,X_58))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
join(top,join(join(X0,X1),zero)) = join(top,join(zero,join(X0,X1))),
inference(subst,[],[refute_0_710:[bind(X_56,$fot(top)),bind(X_57,$fot(join(X0,X1))),bind(X_58,$fot(zero))]]) ).
cnf(refute_0_712,plain,
( join(top,join(join(X0,X1),zero)) != join(top,join(zero,join(X0,X1)))
| join(top,join(zero,join(X0,X1))) != join(top,join(X0,X1))
| join(top,join(join(X0,X1),zero)) = join(top,join(X0,X1)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,join(join(X0,X1),zero)))),bind(Y,$fot(join(top,join(zero,join(X0,X1))))),bind(Z,$fot(join(top,join(X0,X1))))]]) ).
cnf(refute_0_713,plain,
( join(top,join(zero,join(X0,X1))) != join(top,join(X0,X1))
| join(top,join(join(X0,X1),zero)) = join(top,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(top,join(join(X0,X1),zero)),join(top,join(zero,join(X0,X1)))) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
join(top,join(join(X0,X1),zero)) = join(top,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(top,join(zero,join(X0,X1))),join(top,join(X0,X1))) )],[refute_0_698,refute_0_713]) ).
cnf(refute_0_715,plain,
( join(X0,join(X1,top)) != join(top,join(join(X0,X1),zero))
| join(top,join(join(X0,X1),zero)) != join(top,join(X0,X1))
| join(X0,join(X1,top)) = join(top,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,top)),join(top,join(X0,X1))) ),[0],$fot(join(top,join(join(X0,X1),zero)))]]) ).
cnf(refute_0_716,plain,
( join(X0,join(X1,top)) != join(top,join(join(X0,X1),zero))
| join(X0,join(X1,top)) = join(top,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(top,join(join(X0,X1),zero)),join(top,join(X0,X1))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
join(X0,join(X1,top)) = join(top,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,top)),join(top,join(join(X0,X1),zero))) )],[refute_0_697,refute_0_716]) ).
cnf(refute_0_718,plain,
join(zero,join(X0,top)) = join(top,join(zero,X0)),
inference(subst,[],[refute_0_717:[bind(X0,$fot(zero)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_719,plain,
( join(top,join(zero,X0)) != join(top,X0)
| join(zero,join(X0,top)) != join(top,join(zero,X0))
| join(zero,join(X0,top)) = join(top,X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(X0,top)))),bind(Y,$fot(join(top,join(zero,X0)))),bind(Z,$fot(join(top,X0)))]]) ).
cnf(refute_0_720,plain,
( join(top,join(zero,X0)) != join(top,X0)
| join(zero,join(X0,top)) = join(top,X0) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,top)),join(top,join(zero,X0))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
join(zero,join(X0,top)) = join(top,X0),
inference(resolve,[$cnf( $equal(join(top,join(zero,X0)),join(top,X0)) )],[refute_0_531,refute_0_720]) ).
cnf(refute_0_722,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_0_105:[bind(X0,$fot(one))]]) ).
cnf(refute_0_723,plain,
meet(top,complement(one)) = join(meet(zero,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),zero))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(meet(top,complement(one)))),bind(X_38,$fot(zero))]]) ).
cnf(refute_0_724,plain,
meet(zero,meet(top,complement(one))) = complement(join(top,complement(meet(top,complement(one))))),
inference(subst,[],[refute_0_204:[bind(X1,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_725,plain,
( complement(meet(top,complement(one))) != one
| meet(zero,meet(top,complement(one))) != complement(join(top,complement(meet(top,complement(one)))))
| meet(zero,meet(top,complement(one))) = complement(join(top,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,meet(top,complement(one))),complement(join(top,complement(meet(top,complement(one)))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_726,plain,
( meet(zero,meet(top,complement(one))) != complement(join(top,complement(meet(top,complement(one)))))
| meet(zero,meet(top,complement(one))) = complement(join(top,one)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_725]) ).
cnf(refute_0_727,plain,
meet(zero,meet(top,complement(one))) = complement(join(top,one)),
inference(resolve,[$cnf( $equal(meet(zero,meet(top,complement(one))),complement(join(top,complement(meet(top,complement(one)))))) )],[refute_0_724,refute_0_726]) ).
cnf(refute_0_728,plain,
join(zero,complement(X0)) = complement(meet(top,X0)),
inference(subst,[],[refute_0_455:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_729,plain,
join(X0,join(zero,complement(X0))) = join(X0,join(zero,complement(X0))),
introduced(tautology,[refl,[$fot(join(X0,join(zero,complement(X0))))]]) ).
cnf(refute_0_730,plain,
( join(X0,join(zero,complement(X0))) != join(X0,join(zero,complement(X0)))
| join(zero,complement(X0)) != complement(meet(top,X0))
| join(X0,join(zero,complement(X0))) = join(X0,complement(meet(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(zero,complement(X0))),join(X0,join(zero,complement(X0)))) ),[1,1],$fot(complement(meet(top,X0)))]]) ).
cnf(refute_0_731,plain,
( join(zero,complement(X0)) != complement(meet(top,X0))
| join(X0,join(zero,complement(X0))) = join(X0,complement(meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,join(zero,complement(X0))),join(X0,join(zero,complement(X0)))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
join(X0,join(zero,complement(X0))) = join(X0,complement(meet(top,X0))),
inference(resolve,[$cnf( $equal(join(zero,complement(X0)),complement(meet(top,X0))) )],[refute_0_728,refute_0_731]) ).
cnf(refute_0_733,plain,
( join(X0,join(zero,complement(X0))) != join(X0,complement(meet(top,X0)))
| top != join(X0,join(zero,complement(X0)))
| top = join(X0,complement(meet(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,join(zero,complement(X0)))) ),[1],$fot(join(X0,complement(meet(top,X0))))]]) ).
cnf(refute_0_734,plain,
( top != join(X0,join(zero,complement(X0)))
| top = join(X0,complement(meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,join(zero,complement(X0))),join(X0,complement(meet(top,X0)))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
top = join(X0,complement(meet(top,X0))),
inference(resolve,[$cnf( $equal(top,join(X0,join(zero,complement(X0)))) )],[refute_0_640,refute_0_734]) ).
cnf(refute_0_736,plain,
top = join(join(one,one),complement(meet(top,join(one,one)))),
inference(subst,[],[refute_0_735:[bind(X0,$fot(join(one,one)))]]) ).
cnf(refute_0_737,plain,
meet(top,complement(one)) = join(meet(one,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),one))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(meet(top,complement(one)))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_738,plain,
zero = meet(meet(top,complement(one)),complement(meet(top,complement(one)))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_739,plain,
( complement(meet(top,complement(one))) != one
| zero != meet(meet(top,complement(one)),complement(meet(top,complement(one))))
| zero = meet(meet(top,complement(one)),one) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,complement(one)),complement(meet(top,complement(one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_740,plain,
( zero != meet(meet(top,complement(one)),complement(meet(top,complement(one))))
| zero = meet(meet(top,complement(one)),one) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_739]) ).
cnf(refute_0_741,plain,
zero = meet(meet(top,complement(one)),one),
inference(resolve,[$cnf( $equal(zero,meet(meet(top,complement(one)),complement(meet(top,complement(one))))) )],[refute_0_738,refute_0_740]) ).
cnf(refute_0_742,plain,
meet(meet(top,complement(one)),one) = meet(one,meet(top,complement(one))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_743,plain,
( meet(meet(top,complement(one)),one) != meet(one,meet(top,complement(one)))
| zero != meet(meet(top,complement(one)),one)
| zero = meet(one,meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,complement(one)),one)) ),[1],$fot(meet(one,meet(top,complement(one))))]]) ).
cnf(refute_0_744,plain,
( zero != meet(meet(top,complement(one)),one)
| zero = meet(one,meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(one)),one),meet(one,meet(top,complement(one)))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
zero = meet(one,meet(top,complement(one))),
inference(resolve,[$cnf( $equal(zero,meet(meet(top,complement(one)),one)) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
( zero != meet(one,meet(top,complement(one)))
| meet(one,meet(top,complement(one))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(one,meet(top,complement(one)))))]]) ).
cnf(refute_0_747,plain,
meet(one,meet(top,complement(one))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(one,meet(top,complement(one)))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
( meet(one,meet(top,complement(one))) != zero
| meet(top,complement(one)) != join(meet(one,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),one)))
| meet(top,complement(one)) = join(zero,complement(join(complement(meet(top,complement(one))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(meet(one,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_749,plain,
( meet(top,complement(one)) != join(meet(one,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),one)))
| meet(top,complement(one)) = join(zero,complement(join(complement(meet(top,complement(one))),one))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(top,complement(one))),zero) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
meet(top,complement(one)) = join(zero,complement(join(complement(meet(top,complement(one))),one))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(meet(one,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),one)))) )],[refute_0_737,refute_0_749]) ).
cnf(refute_0_751,plain,
join(one,complement(meet(top,complement(one)))) = join(one,complement(meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(join(one,complement(meet(top,complement(one)))))]]) ).
cnf(refute_0_752,plain,
( complement(meet(top,complement(one))) != one
| join(one,complement(meet(top,complement(one)))) != join(one,complement(meet(top,complement(one))))
| join(one,complement(meet(top,complement(one)))) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(top,complement(one)))),join(one,complement(meet(top,complement(one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_753,plain,
( complement(meet(top,complement(one))) != one
| join(one,complement(meet(top,complement(one)))) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(top,complement(one)))),join(one,complement(meet(top,complement(one))))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
join(one,complement(meet(top,complement(one)))) = join(one,one),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_753]) ).
cnf(refute_0_755,plain,
join(complement(meet(top,complement(one))),one) = join(one,complement(meet(top,complement(one)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(one)),bind(X1,$fot(complement(meet(top,complement(one)))))]]) ).
cnf(refute_0_756,plain,
( join(complement(meet(top,complement(one))),one) != join(one,complement(meet(top,complement(one))))
| join(one,complement(meet(top,complement(one)))) != join(one,one)
| join(complement(meet(top,complement(one))),one) = join(one,one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(meet(top,complement(one))),one))),bind(Y,$fot(join(one,complement(meet(top,complement(one)))))),bind(Z,$fot(join(one,one)))]]) ).
cnf(refute_0_757,plain,
( join(one,complement(meet(top,complement(one)))) != join(one,one)
| join(complement(meet(top,complement(one))),one) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,complement(one))),one),join(one,complement(meet(top,complement(one))))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
join(complement(meet(top,complement(one))),one) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,complement(meet(top,complement(one)))),join(one,one)) )],[refute_0_754,refute_0_757]) ).
cnf(refute_0_759,plain,
meet(top,join(complement(meet(top,complement(one))),one)) = meet(top,join(complement(meet(top,complement(one))),one)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(top,complement(one))),one)))]]) ).
cnf(refute_0_760,plain,
( join(complement(meet(top,complement(one))),one) != join(one,one)
| meet(top,join(complement(meet(top,complement(one))),one)) != meet(top,join(complement(meet(top,complement(one))),one))
| meet(top,join(complement(meet(top,complement(one))),one)) = meet(top,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),one)),meet(top,join(complement(meet(top,complement(one))),one))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_761,plain,
( join(complement(meet(top,complement(one))),one) != join(one,one)
| meet(top,join(complement(meet(top,complement(one))),one)) = meet(top,join(one,one)) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),one)),meet(top,join(complement(meet(top,complement(one))),one))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
meet(top,join(complement(meet(top,complement(one))),one)) = meet(top,join(one,one)),
inference(resolve,[$cnf( $equal(join(complement(meet(top,complement(one))),one),join(one,one)) )],[refute_0_758,refute_0_761]) ).
cnf(refute_0_763,plain,
complement(meet(top,join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(complement(meet(top,complement(one))),one))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(top,complement(one))),one))))]]) ).
cnf(refute_0_764,plain,
( complement(meet(top,join(complement(meet(top,complement(one))),one))) != complement(meet(top,join(complement(meet(top,complement(one))),one)))
| meet(top,join(complement(meet(top,complement(one))),one)) != meet(top,join(one,one))
| complement(meet(top,join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(top,complement(one))),one))),complement(meet(top,join(complement(meet(top,complement(one))),one)))) ),[1,0],$fot(meet(top,join(one,one)))]]) ).
cnf(refute_0_765,plain,
( meet(top,join(complement(meet(top,complement(one))),one)) != meet(top,join(one,one))
| complement(meet(top,join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(one,one))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,complement(one))),one))),complement(meet(top,join(complement(meet(top,complement(one))),one)))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
complement(meet(top,join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(one,one))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),one)),meet(top,join(one,one))) )],[refute_0_762,refute_0_765]) ).
cnf(refute_0_767,plain,
join(zero,complement(join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(complement(meet(top,complement(one))),one))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(join(complement(meet(top,complement(one))),one)))]]) ).
cnf(refute_0_768,plain,
( complement(meet(top,join(complement(meet(top,complement(one))),one))) != complement(meet(top,join(one,one)))
| join(zero,complement(join(complement(meet(top,complement(one))),one))) != complement(meet(top,join(complement(meet(top,complement(one))),one)))
| join(zero,complement(join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(one,one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,complement(join(complement(meet(top,complement(one))),one))))),bind(Y,$fot(complement(meet(top,join(complement(meet(top,complement(one))),one))))),bind(Z,$fot(complement(meet(top,join(one,one)))))]]) ).
cnf(refute_0_769,plain,
( complement(meet(top,join(complement(meet(top,complement(one))),one))) != complement(meet(top,join(one,one)))
| join(zero,complement(join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,complement(one))),one))),complement(meet(top,join(complement(meet(top,complement(one))),one)))) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
join(zero,complement(join(complement(meet(top,complement(one))),one))) = complement(meet(top,join(one,one))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,complement(one))),one))),complement(meet(top,join(one,one)))) )],[refute_0_766,refute_0_769]) ).
cnf(refute_0_771,plain,
( join(zero,complement(join(complement(meet(top,complement(one))),one))) != complement(meet(top,join(one,one)))
| meet(top,complement(one)) != join(zero,complement(join(complement(meet(top,complement(one))),one)))
| meet(top,complement(one)) = complement(meet(top,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(zero,complement(join(complement(meet(top,complement(one))),one)))) ),[1],$fot(complement(meet(top,join(one,one))))]]) ).
cnf(refute_0_772,plain,
( meet(top,complement(one)) != join(zero,complement(join(complement(meet(top,complement(one))),one)))
| meet(top,complement(one)) = complement(meet(top,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,complement(one))),one))),complement(meet(top,join(one,one)))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
meet(top,complement(one)) = complement(meet(top,join(one,one))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(zero,complement(join(complement(meet(top,complement(one))),one)))) )],[refute_0_750,refute_0_772]) ).
cnf(refute_0_774,plain,
( meet(top,complement(one)) != complement(meet(top,join(one,one)))
| complement(meet(top,join(one,one))) = meet(top,complement(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,complement(one)))),bind(Y,$fot(complement(meet(top,join(one,one)))))]]) ).
cnf(refute_0_775,plain,
complement(meet(top,join(one,one))) = meet(top,complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(meet(top,join(one,one)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
( complement(meet(top,join(one,one))) != meet(top,complement(one))
| top != join(join(one,one),complement(meet(top,join(one,one))))
| top = join(join(one,one),meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,one),complement(meet(top,join(one,one))))) ),[1,1],$fot(meet(top,complement(one)))]]) ).
cnf(refute_0_777,plain,
( top != join(join(one,one),complement(meet(top,join(one,one))))
| top = join(join(one,one),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(one,one))),meet(top,complement(one))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
top = join(join(one,one),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(top,join(join(one,one),complement(meet(top,join(one,one))))) )],[refute_0_736,refute_0_777]) ).
cnf(refute_0_779,plain,
top = join(meet(top,complement(one)),complement(meet(top,complement(one)))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_780,plain,
( complement(meet(top,complement(one))) != one
| top != join(meet(top,complement(one)),complement(meet(top,complement(one))))
| top = join(meet(top,complement(one)),one) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(one)),complement(meet(top,complement(one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_781,plain,
( top != join(meet(top,complement(one)),complement(meet(top,complement(one))))
| top = join(meet(top,complement(one)),one) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_780]) ).
cnf(refute_0_782,plain,
top = join(meet(top,complement(one)),one),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(one)),complement(meet(top,complement(one))))) )],[refute_0_779,refute_0_781]) ).
cnf(refute_0_783,plain,
join(meet(top,complement(one)),one) = join(one,meet(top,complement(one))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(one)),bind(X1,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_784,plain,
( join(meet(top,complement(one)),one) != join(one,meet(top,complement(one)))
| top != join(meet(top,complement(one)),one)
| top = join(one,meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(one)),one)) ),[1],$fot(join(one,meet(top,complement(one))))]]) ).
cnf(refute_0_785,plain,
( top != join(meet(top,complement(one)),one)
| top = join(one,meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),one),join(one,meet(top,complement(one)))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
top = join(one,meet(top,complement(one))),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(one)),one)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
( top != join(one,meet(top,complement(one)))
| join(one,meet(top,complement(one))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,meet(top,complement(one)))))]]) ).
cnf(refute_0_788,plain,
join(one,meet(top,complement(one))) = top,
inference(resolve,[$cnf( $equal(top,join(one,meet(top,complement(one)))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
join(one,join(one,meet(top,complement(one)))) = join(one,join(one,meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(join(one,join(one,meet(top,complement(one)))))]]) ).
cnf(refute_0_790,plain,
( join(one,join(one,meet(top,complement(one)))) != join(one,join(one,meet(top,complement(one))))
| join(one,meet(top,complement(one))) != top
| join(one,join(one,meet(top,complement(one)))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,meet(top,complement(one)))),join(one,join(one,meet(top,complement(one))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_791,plain,
( join(one,meet(top,complement(one))) != top
| join(one,join(one,meet(top,complement(one)))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,join(one,meet(top,complement(one)))),join(one,join(one,meet(top,complement(one))))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
join(one,join(one,meet(top,complement(one)))) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,meet(top,complement(one))),top) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
join(join(one,one),meet(top,complement(one))) = join(one,join(one,meet(top,complement(one)))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_794,plain,
( join(join(one,one),meet(top,complement(one))) != join(one,join(one,meet(top,complement(one))))
| join(one,join(one,meet(top,complement(one)))) != join(one,top)
| join(join(one,one),meet(top,complement(one))) = join(one,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(one,one),meet(top,complement(one))))),bind(Y,$fot(join(one,join(one,meet(top,complement(one)))))),bind(Z,$fot(join(one,top)))]]) ).
cnf(refute_0_795,plain,
( join(one,join(one,meet(top,complement(one)))) != join(one,top)
| join(join(one,one),meet(top,complement(one))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(join(one,one),meet(top,complement(one))),join(one,join(one,meet(top,complement(one))))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
join(join(one,one),meet(top,complement(one))) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,join(one,meet(top,complement(one)))),join(one,top)) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( join(join(one,one),meet(top,complement(one))) != join(one,top)
| top != join(join(one,one),meet(top,complement(one)))
| top = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,one),meet(top,complement(one)))) ),[1],$fot(join(one,top))]]) ).
cnf(refute_0_798,plain,
( top != join(join(one,one),meet(top,complement(one)))
| top = join(one,top) ),
inference(resolve,[$cnf( $equal(join(join(one,one),meet(top,complement(one))),join(one,top)) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
top = join(one,top),
inference(resolve,[$cnf( $equal(top,join(join(one,one),meet(top,complement(one)))) )],[refute_0_778,refute_0_798]) ).
cnf(refute_0_800,plain,
( top != join(one,top)
| join(one,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,top)))]]) ).
cnf(refute_0_801,plain,
join(one,top) = top,
inference(resolve,[$cnf( $equal(top,join(one,top)) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
join(X_56,join(X_57,join(zero,complement(X_57)))) = join(join(X_56,X_57),join(zero,complement(X_57))),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X_56)),bind(X1,$fot(X_57)),bind(X2,$fot(join(zero,complement(X_57))))]]) ).
cnf(refute_0_803,plain,
top = join(X_57,join(zero,complement(X_57))),
inference(subst,[],[refute_0_640:[bind(X0,$fot(X_57))]]) ).
cnf(refute_0_804,plain,
( top != join(X_57,join(zero,complement(X_57)))
| join(X_57,join(zero,complement(X_57))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_57,join(zero,complement(X_57)))))]]) ).
cnf(refute_0_805,plain,
join(X_57,join(zero,complement(X_57))) = top,
inference(resolve,[$cnf( $equal(top,join(X_57,join(zero,complement(X_57)))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
( join(X_56,join(X_57,join(zero,complement(X_57)))) != join(join(X_56,X_57),join(zero,complement(X_57)))
| join(X_57,join(zero,complement(X_57))) != top
| join(X_56,top) = join(join(X_56,X_57),join(zero,complement(X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,join(X_57,join(zero,complement(X_57)))),join(join(X_56,X_57),join(zero,complement(X_57)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_807,plain,
( join(X_56,join(X_57,join(zero,complement(X_57)))) != join(join(X_56,X_57),join(zero,complement(X_57)))
| join(X_56,top) = join(join(X_56,X_57),join(zero,complement(X_57))) ),
inference(resolve,[$cnf( $equal(join(X_57,join(zero,complement(X_57))),top) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
join(X_56,top) = join(join(X_56,X_57),join(zero,complement(X_57))),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,join(zero,complement(X_57)))),join(join(X_56,X_57),join(zero,complement(X_57)))) )],[refute_0_802,refute_0_807]) ).
cnf(refute_0_809,plain,
join(complement(X_57),join(X_56,X_57)) = join(X_57,join(complement(X_57),X_56)),
inference(subst,[],[refute_0_667:[bind(X0,$fot(X_57)),bind(X_56,$fot(complement(X_57))),bind(X_57,$fot(X_56))]]) ).
cnf(refute_0_810,plain,
join(zero,join(complement(X_57),join(X_56,X_57))) = join(zero,join(complement(X_57),join(X_56,X_57))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_57),join(X_56,X_57))))]]) ).
cnf(refute_0_811,plain,
( join(complement(X_57),join(X_56,X_57)) != join(X_57,join(complement(X_57),X_56))
| join(zero,join(complement(X_57),join(X_56,X_57))) != join(zero,join(complement(X_57),join(X_56,X_57)))
| join(zero,join(complement(X_57),join(X_56,X_57))) = join(zero,join(X_57,join(complement(X_57),X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_57),join(X_56,X_57))),join(zero,join(complement(X_57),join(X_56,X_57)))) ),[1,1],$fot(join(X_57,join(complement(X_57),X_56)))]]) ).
cnf(refute_0_812,plain,
( join(complement(X_57),join(X_56,X_57)) != join(X_57,join(complement(X_57),X_56))
| join(zero,join(complement(X_57),join(X_56,X_57))) = join(zero,join(X_57,join(complement(X_57),X_56))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_57),join(X_56,X_57))),join(zero,join(complement(X_57),join(X_56,X_57)))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
join(zero,join(complement(X_57),join(X_56,X_57))) = join(zero,join(X_57,join(complement(X_57),X_56))),
inference(resolve,[$cnf( $equal(join(complement(X_57),join(X_56,X_57)),join(X_57,join(complement(X_57),X_56))) )],[refute_0_809,refute_0_812]) ).
cnf(refute_0_814,plain,
join(complement(X_57),join(join(X_56,X_57),zero)) = join(zero,join(complement(X_57),join(X_56,X_57))),
inference(subst,[],[refute_0_667:[bind(X0,$fot(zero)),bind(X_56,$fot(complement(X_57))),bind(X_57,$fot(join(X_56,X_57)))]]) ).
cnf(refute_0_815,plain,
join(join(X_56,X_57),join(zero,complement(X_57))) = join(complement(X_57),join(join(X_56,X_57),zero)),
inference(subst,[],[refute_0_667:[bind(X0,$fot(complement(X_57))),bind(X_56,$fot(join(X_56,X_57))),bind(X_57,$fot(zero))]]) ).
cnf(refute_0_816,plain,
( join(complement(X_57),join(join(X_56,X_57),zero)) != join(zero,join(complement(X_57),join(X_56,X_57)))
| join(join(X_56,X_57),join(zero,complement(X_57))) != join(complement(X_57),join(join(X_56,X_57),zero))
| join(join(X_56,X_57),join(zero,complement(X_57))) = join(zero,join(complement(X_57),join(X_56,X_57))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(X_56,X_57),join(zero,complement(X_57))))),bind(Y,$fot(join(complement(X_57),join(join(X_56,X_57),zero)))),bind(Z,$fot(join(zero,join(complement(X_57),join(X_56,X_57)))))]]) ).
cnf(refute_0_817,plain,
( join(complement(X_57),join(join(X_56,X_57),zero)) != join(zero,join(complement(X_57),join(X_56,X_57)))
| join(join(X_56,X_57),join(zero,complement(X_57))) = join(zero,join(complement(X_57),join(X_56,X_57))) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_57),join(zero,complement(X_57))),join(complement(X_57),join(join(X_56,X_57),zero))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
join(join(X_56,X_57),join(zero,complement(X_57))) = join(zero,join(complement(X_57),join(X_56,X_57))),
inference(resolve,[$cnf( $equal(join(complement(X_57),join(join(X_56,X_57),zero)),join(zero,join(complement(X_57),join(X_56,X_57)))) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
( join(join(X_56,X_57),join(zero,complement(X_57))) != join(zero,join(complement(X_57),join(X_56,X_57)))
| join(zero,join(complement(X_57),join(X_56,X_57))) != join(zero,join(X_57,join(complement(X_57),X_56)))
| join(join(X_56,X_57),join(zero,complement(X_57))) = join(zero,join(X_57,join(complement(X_57),X_56))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(X_56,X_57),join(zero,complement(X_57))))),bind(Y,$fot(join(zero,join(complement(X_57),join(X_56,X_57))))),bind(Z,$fot(join(zero,join(X_57,join(complement(X_57),X_56)))))]]) ).
cnf(refute_0_820,plain,
( join(zero,join(complement(X_57),join(X_56,X_57))) != join(zero,join(X_57,join(complement(X_57),X_56)))
| join(join(X_56,X_57),join(zero,complement(X_57))) = join(zero,join(X_57,join(complement(X_57),X_56))) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_57),join(zero,complement(X_57))),join(zero,join(complement(X_57),join(X_56,X_57)))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
join(join(X_56,X_57),join(zero,complement(X_57))) = join(zero,join(X_57,join(complement(X_57),X_56))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_57),join(X_56,X_57))),join(zero,join(X_57,join(complement(X_57),X_56)))) )],[refute_0_813,refute_0_820]) ).
cnf(refute_0_822,plain,
( join(X_56,top) != join(join(X_56,X_57),join(zero,complement(X_57)))
| join(join(X_56,X_57),join(zero,complement(X_57))) != join(zero,join(X_57,join(complement(X_57),X_56)))
| join(X_56,top) = join(zero,join(X_57,join(complement(X_57),X_56))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,top),join(zero,join(X_57,join(complement(X_57),X_56)))) ),[0],$fot(join(join(X_56,X_57),join(zero,complement(X_57))))]]) ).
cnf(refute_0_823,plain,
( join(X_56,top) != join(join(X_56,X_57),join(zero,complement(X_57)))
| join(X_56,top) = join(zero,join(X_57,join(complement(X_57),X_56))) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_57),join(zero,complement(X_57))),join(zero,join(X_57,join(complement(X_57),X_56)))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
join(X_56,top) = join(zero,join(X_57,join(complement(X_57),X_56))),
inference(resolve,[$cnf( $equal(join(X_56,top),join(join(X_56,X_57),join(zero,complement(X_57)))) )],[refute_0_808,refute_0_823]) ).
cnf(refute_0_825,plain,
join(top,join(zero,X_56)) = join(top,X_56),
inference(subst,[],[refute_0_530:[bind(X_58,$fot(X_56))]]) ).
cnf(refute_0_826,plain,
join(zero,join(top,X_56)) = join(top,join(zero,X_56)),
inference(subst,[],[refute_0_499:[bind(X_56,$fot(top)),bind(X_57,$fot(zero)),bind(X_58,$fot(X_56))]]) ).
cnf(refute_0_827,plain,
( join(top,join(zero,X_56)) != join(top,X_56)
| join(zero,join(top,X_56)) != join(top,join(zero,X_56))
| join(zero,join(top,X_56)) = join(top,X_56) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(top,X_56)))),bind(Y,$fot(join(top,join(zero,X_56)))),bind(Z,$fot(join(top,X_56)))]]) ).
cnf(refute_0_828,plain,
( join(top,join(zero,X_56)) != join(top,X_56)
| join(zero,join(top,X_56)) = join(top,X_56) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_56)),join(top,join(zero,X_56))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
join(zero,join(top,X_56)) = join(top,X_56),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_56)),join(top,X_56)) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
join(X_56,join(complement(X_56),X_58)) = join(join(X_56,complement(X_56)),X_58),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X_56)),bind(X1,$fot(complement(X_56))),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_831,plain,
top = join(X_56,complement(X_56)),
inference(subst,[],[refute_0_103:[bind(X0,$fot(X_56))]]) ).
cnf(refute_0_832,plain,
( top != join(X_56,complement(X_56))
| join(X_56,complement(X_56)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_56,complement(X_56))))]]) ).
cnf(refute_0_833,plain,
join(X_56,complement(X_56)) = top,
inference(resolve,[$cnf( $equal(top,join(X_56,complement(X_56))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
( join(X_56,complement(X_56)) != top
| join(X_56,join(complement(X_56),X_58)) != join(join(X_56,complement(X_56)),X_58)
| join(X_56,join(complement(X_56),X_58)) = join(top,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,join(complement(X_56),X_58)),join(join(X_56,complement(X_56)),X_58)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_835,plain,
( join(X_56,join(complement(X_56),X_58)) != join(join(X_56,complement(X_56)),X_58)
| join(X_56,join(complement(X_56),X_58)) = join(top,X_58) ),
inference(resolve,[$cnf( $equal(join(X_56,complement(X_56)),top) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
join(X_56,join(complement(X_56),X_58)) = join(top,X_58),
inference(resolve,[$cnf( $equal(join(X_56,join(complement(X_56),X_58)),join(join(X_56,complement(X_56)),X_58)) )],[refute_0_830,refute_0_835]) ).
cnf(refute_0_837,plain,
join(X_57,join(complement(X_57),X_56)) = join(top,X_56),
inference(subst,[],[refute_0_836:[bind(X_56,$fot(X_57)),bind(X_58,$fot(X_56))]]) ).
cnf(refute_0_838,plain,
join(zero,join(X_57,join(complement(X_57),X_56))) = join(zero,join(X_57,join(complement(X_57),X_56))),
introduced(tautology,[refl,[$fot(join(zero,join(X_57,join(complement(X_57),X_56))))]]) ).
cnf(refute_0_839,plain,
( join(X_57,join(complement(X_57),X_56)) != join(top,X_56)
| join(zero,join(X_57,join(complement(X_57),X_56))) != join(zero,join(X_57,join(complement(X_57),X_56)))
| join(zero,join(X_57,join(complement(X_57),X_56))) = join(zero,join(top,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_57,join(complement(X_57),X_56))),join(zero,join(X_57,join(complement(X_57),X_56)))) ),[1,1],$fot(join(top,X_56))]]) ).
cnf(refute_0_840,plain,
( join(X_57,join(complement(X_57),X_56)) != join(top,X_56)
| join(zero,join(X_57,join(complement(X_57),X_56))) = join(zero,join(top,X_56)) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_57,join(complement(X_57),X_56))),join(zero,join(X_57,join(complement(X_57),X_56)))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
join(zero,join(X_57,join(complement(X_57),X_56))) = join(zero,join(top,X_56)),
inference(resolve,[$cnf( $equal(join(X_57,join(complement(X_57),X_56)),join(top,X_56)) )],[refute_0_837,refute_0_840]) ).
cnf(refute_0_842,plain,
( join(zero,join(X_57,join(complement(X_57),X_56))) != join(zero,join(top,X_56))
| join(zero,join(top,X_56)) != join(top,X_56)
| join(zero,join(X_57,join(complement(X_57),X_56))) = join(top,X_56) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(X_57,join(complement(X_57),X_56))))),bind(Y,$fot(join(zero,join(top,X_56)))),bind(Z,$fot(join(top,X_56)))]]) ).
cnf(refute_0_843,plain,
( join(zero,join(top,X_56)) != join(top,X_56)
| join(zero,join(X_57,join(complement(X_57),X_56))) = join(top,X_56) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_57,join(complement(X_57),X_56))),join(zero,join(top,X_56))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
join(zero,join(X_57,join(complement(X_57),X_56))) = join(top,X_56),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_56)),join(top,X_56)) )],[refute_0_829,refute_0_843]) ).
cnf(refute_0_845,plain,
( join(X_56,top) != join(zero,join(X_57,join(complement(X_57),X_56)))
| join(zero,join(X_57,join(complement(X_57),X_56))) != join(top,X_56)
| join(X_56,top) = join(top,X_56) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,top),join(top,X_56)) ),[0],$fot(join(zero,join(X_57,join(complement(X_57),X_56))))]]) ).
cnf(refute_0_846,plain,
( join(X_56,top) != join(zero,join(X_57,join(complement(X_57),X_56)))
| join(X_56,top) = join(top,X_56) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_57,join(complement(X_57),X_56))),join(top,X_56)) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
join(X_56,top) = join(top,X_56),
inference(resolve,[$cnf( $equal(join(X_56,top),join(zero,join(X_57,join(complement(X_57),X_56)))) )],[refute_0_824,refute_0_846]) ).
cnf(refute_0_848,plain,
( join(X_56,top) != join(top,X_56)
| join(top,X_56) = join(X_56,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_56,top))),bind(Y,$fot(join(top,X_56)))]]) ).
cnf(refute_0_849,plain,
join(top,X_56) = join(X_56,top),
inference(resolve,[$cnf( $equal(join(X_56,top),join(top,X_56)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
join(top,one) = join(one,top),
inference(subst,[],[refute_0_849:[bind(X_56,$fot(one))]]) ).
cnf(refute_0_851,plain,
( join(one,top) != top
| join(top,one) != join(one,top)
| join(top,one) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,one))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_852,plain,
( join(one,top) != top
| join(top,one) = top ),
inference(resolve,[$cnf( $equal(join(top,one),join(one,top)) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
join(top,one) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_852]) ).
cnf(refute_0_854,plain,
complement(join(top,one)) = complement(join(top,one)),
introduced(tautology,[refl,[$fot(complement(join(top,one)))]]) ).
cnf(refute_0_855,plain,
( complement(join(top,one)) != complement(join(top,one))
| join(top,one) != top
| complement(join(top,one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,one)),complement(join(top,one))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_856,plain,
( join(top,one) != top
| complement(join(top,one)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,one)),complement(join(top,one))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
complement(join(top,one)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_853,refute_0_856]) ).
cnf(refute_0_858,plain,
( complement(join(top,one)) != complement(top)
| complement(top) != zero
| complement(join(top,one)) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(top,one)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_859,plain,
( complement(top) != zero
| complement(join(top,one)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,one)),complement(top)) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
complement(join(top,one)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_859]) ).
cnf(refute_0_861,plain,
( complement(join(top,one)) != zero
| meet(zero,meet(top,complement(one))) != complement(join(top,one))
| meet(zero,meet(top,complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,meet(top,complement(one))),complement(join(top,one))) ),[1],$fot(zero)]]) ).
cnf(refute_0_862,plain,
( meet(zero,meet(top,complement(one))) != complement(join(top,one))
| meet(zero,meet(top,complement(one))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,one)),zero) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
meet(zero,meet(top,complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,meet(top,complement(one))),complement(join(top,one))) )],[refute_0_727,refute_0_862]) ).
cnf(refute_0_864,plain,
( meet(top,complement(one)) != join(meet(zero,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),zero)))
| meet(zero,meet(top,complement(one))) != zero
| meet(top,complement(one)) = join(zero,complement(join(complement(meet(top,complement(one))),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(meet(zero,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_865,plain,
( meet(top,complement(one)) != join(meet(zero,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),zero)))
| meet(top,complement(one)) = join(zero,complement(join(complement(meet(top,complement(one))),zero))) ),
inference(resolve,[$cnf( $equal(meet(zero,meet(top,complement(one))),zero) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
meet(top,complement(one)) = join(zero,complement(join(complement(meet(top,complement(one))),zero))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(meet(zero,meet(top,complement(one))),complement(join(complement(meet(top,complement(one))),zero)))) )],[refute_0_723,refute_0_865]) ).
cnf(refute_0_867,plain,
meet(top,join(zero,complement(X_33))) = complement(join(zero,complement(join(zero,complement(X_33))))),
inference(subst,[],[refute_0_172:[bind(X1,$fot(join(zero,complement(X_33))))]]) ).
cnf(refute_0_868,plain,
( complement(join(zero,complement(X_33))) != meet(top,X_33)
| meet(top,join(zero,complement(X_33))) != complement(join(zero,complement(join(zero,complement(X_33)))))
| meet(top,join(zero,complement(X_33))) = complement(join(zero,meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_33))),complement(join(zero,complement(join(zero,complement(X_33)))))) ),[1,0,1],$fot(meet(top,X_33))]]) ).
cnf(refute_0_869,plain,
( meet(top,join(zero,complement(X_33))) != complement(join(zero,complement(join(zero,complement(X_33)))))
| meet(top,join(zero,complement(X_33))) = complement(join(zero,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_33))),meet(top,X_33)) )],[refute_0_371,refute_0_868]) ).
cnf(refute_0_870,plain,
meet(top,join(zero,complement(X_33))) = complement(join(zero,meet(top,X_33))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_33))),complement(join(zero,complement(join(zero,complement(X_33)))))) )],[refute_0_867,refute_0_869]) ).
cnf(refute_0_871,plain,
meet(top,join(zero,complement(X_33))) = meet(top,complement(meet(top,X_33))),
inference(subst,[],[refute_0_444:[bind(X0,$fot(top))]]) ).
cnf(refute_0_872,plain,
( meet(top,join(zero,complement(X_33))) != complement(join(zero,meet(top,X_33)))
| meet(top,join(zero,complement(X_33))) != meet(top,complement(meet(top,X_33)))
| meet(top,complement(meet(top,X_33))) = complement(join(zero,meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_33))),complement(join(zero,meet(top,X_33)))) ),[0],$fot(meet(top,complement(meet(top,X_33))))]]) ).
cnf(refute_0_873,plain,
( meet(top,join(zero,complement(X_33))) != complement(join(zero,meet(top,X_33)))
| meet(top,complement(meet(top,X_33))) = complement(join(zero,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_33))),meet(top,complement(meet(top,X_33)))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
meet(top,complement(meet(top,X_33))) = complement(join(zero,meet(top,X_33))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_33))),complement(join(zero,meet(top,X_33)))) )],[refute_0_870,refute_0_873]) ).
cnf(refute_0_875,plain,
meet(top,complement(meet(top,meet(top,complement(one))))) = complement(join(zero,meet(top,meet(top,complement(one))))),
inference(subst,[],[refute_0_874:[bind(X_33,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_876,plain,
join(zero,complement(meet(top,complement(one)))) = complement(meet(top,meet(top,complement(one)))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_877,plain,
join(complement(meet(top,complement(one))),zero) = join(zero,complement(meet(top,complement(one)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(meet(top,complement(one)))))]]) ).
cnf(refute_0_878,plain,
( join(complement(meet(top,complement(one))),zero) != join(zero,complement(meet(top,complement(one))))
| join(zero,complement(meet(top,complement(one)))) != complement(meet(top,meet(top,complement(one))))
| join(complement(meet(top,complement(one))),zero) = complement(meet(top,meet(top,complement(one)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(meet(top,complement(one))),zero))),bind(Y,$fot(join(zero,complement(meet(top,complement(one)))))),bind(Z,$fot(complement(meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_879,plain,
( join(zero,complement(meet(top,complement(one)))) != complement(meet(top,meet(top,complement(one))))
| join(complement(meet(top,complement(one))),zero) = complement(meet(top,meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,complement(one))),zero),join(zero,complement(meet(top,complement(one))))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
join(complement(meet(top,complement(one))),zero) = complement(meet(top,meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(top,complement(one)))),complement(meet(top,meet(top,complement(one))))) )],[refute_0_876,refute_0_879]) ).
cnf(refute_0_881,plain,
meet(top,join(complement(meet(top,complement(one))),zero)) = meet(top,join(complement(meet(top,complement(one))),zero)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(top,complement(one))),zero)))]]) ).
cnf(refute_0_882,plain,
( join(complement(meet(top,complement(one))),zero) != complement(meet(top,meet(top,complement(one))))
| meet(top,join(complement(meet(top,complement(one))),zero)) != meet(top,join(complement(meet(top,complement(one))),zero))
| meet(top,join(complement(meet(top,complement(one))),zero)) = meet(top,complement(meet(top,meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),zero)),meet(top,join(complement(meet(top,complement(one))),zero))) ),[1,1],$fot(complement(meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_883,plain,
( join(complement(meet(top,complement(one))),zero) != complement(meet(top,meet(top,complement(one))))
| meet(top,join(complement(meet(top,complement(one))),zero)) = meet(top,complement(meet(top,meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),zero)),meet(top,join(complement(meet(top,complement(one))),zero))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
meet(top,join(complement(meet(top,complement(one))),zero)) = meet(top,complement(meet(top,meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,complement(one))),zero),complement(meet(top,meet(top,complement(one))))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
( meet(top,complement(meet(top,meet(top,complement(one))))) != complement(join(zero,meet(top,meet(top,complement(one)))))
| meet(top,join(complement(meet(top,complement(one))),zero)) != meet(top,complement(meet(top,meet(top,complement(one)))))
| meet(top,join(complement(meet(top,complement(one))),zero)) = complement(join(zero,meet(top,meet(top,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(top,join(complement(meet(top,complement(one))),zero)))),bind(Y,$fot(meet(top,complement(meet(top,meet(top,complement(one))))))),bind(Z,$fot(complement(join(zero,meet(top,meet(top,complement(one)))))))]]) ).
cnf(refute_0_886,plain,
( meet(top,complement(meet(top,meet(top,complement(one))))) != complement(join(zero,meet(top,meet(top,complement(one)))))
| meet(top,join(complement(meet(top,complement(one))),zero)) = complement(join(zero,meet(top,meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),zero)),meet(top,complement(meet(top,meet(top,complement(one)))))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
meet(top,join(complement(meet(top,complement(one))),zero)) = complement(join(zero,meet(top,meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,meet(top,complement(one))))),complement(join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_875,refute_0_886]) ).
cnf(refute_0_888,plain,
complement(meet(top,join(complement(meet(top,complement(one))),zero))) = complement(meet(top,join(complement(meet(top,complement(one))),zero))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(top,complement(one))),zero))))]]) ).
cnf(refute_0_889,plain,
( complement(meet(top,join(complement(meet(top,complement(one))),zero))) != complement(meet(top,join(complement(meet(top,complement(one))),zero)))
| meet(top,join(complement(meet(top,complement(one))),zero)) != complement(join(zero,meet(top,meet(top,complement(one)))))
| complement(meet(top,join(complement(meet(top,complement(one))),zero))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(top,complement(one))),zero))),complement(meet(top,join(complement(meet(top,complement(one))),zero)))) ),[1,0],$fot(complement(join(zero,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_890,plain,
( meet(top,join(complement(meet(top,complement(one))),zero)) != complement(join(zero,meet(top,meet(top,complement(one)))))
| complement(meet(top,join(complement(meet(top,complement(one))),zero))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,complement(one))),zero))),complement(meet(top,join(complement(meet(top,complement(one))),zero)))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
complement(meet(top,join(complement(meet(top,complement(one))),zero))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,complement(one))),zero)),complement(join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
join(zero,complement(join(complement(meet(top,complement(one))),zero))) = complement(meet(top,join(complement(meet(top,complement(one))),zero))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(join(complement(meet(top,complement(one))),zero)))]]) ).
cnf(refute_0_893,plain,
( complement(meet(top,join(complement(meet(top,complement(one))),zero))) != complement(complement(join(zero,meet(top,meet(top,complement(one))))))
| join(zero,complement(join(complement(meet(top,complement(one))),zero))) != complement(meet(top,join(complement(meet(top,complement(one))),zero)))
| join(zero,complement(join(complement(meet(top,complement(one))),zero))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,complement(join(complement(meet(top,complement(one))),zero))))),bind(Y,$fot(complement(meet(top,join(complement(meet(top,complement(one))),zero))))),bind(Z,$fot(complement(complement(join(zero,meet(top,meet(top,complement(one))))))))]]) ).
cnf(refute_0_894,plain,
( complement(meet(top,join(complement(meet(top,complement(one))),zero))) != complement(complement(join(zero,meet(top,meet(top,complement(one))))))
| join(zero,complement(join(complement(meet(top,complement(one))),zero))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,complement(one))),zero))),complement(meet(top,join(complement(meet(top,complement(one))),zero)))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(zero,complement(join(complement(meet(top,complement(one))),zero))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,complement(one))),zero))),complement(complement(join(zero,meet(top,meet(top,complement(one))))))) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
( join(zero,complement(join(complement(meet(top,complement(one))),zero))) != complement(complement(join(zero,meet(top,meet(top,complement(one))))))
| meet(top,complement(one)) != join(zero,complement(join(complement(meet(top,complement(one))),zero)))
| meet(top,complement(one)) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(zero,complement(join(complement(meet(top,complement(one))),zero)))) ),[1],$fot(complement(complement(join(zero,meet(top,meet(top,complement(one)))))))]]) ).
cnf(refute_0_897,plain,
( meet(top,complement(one)) != join(zero,complement(join(complement(meet(top,complement(one))),zero)))
| meet(top,complement(one)) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,complement(one))),zero))),complement(complement(join(zero,meet(top,meet(top,complement(one))))))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
meet(top,complement(one)) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(zero,complement(join(complement(meet(top,complement(one))),zero)))) )],[refute_0_866,refute_0_897]) ).
cnf(refute_0_899,plain,
meet(top,X_49) = meet(X_49,top),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(top)),bind(X_30,$fot(X_49))]]) ).
cnf(refute_0_900,plain,
( meet(top,X_49) != meet(X_49,top)
| meet(X_49,top) = meet(top,X_49) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_49))),bind(Y,$fot(meet(X_49,top)))]]) ).
cnf(refute_0_901,plain,
meet(X_49,top) = meet(top,X_49),
inference(resolve,[$cnf( $equal(meet(top,X_49),meet(X_49,top)) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| meet(X_49,top) != meet(top,X_49)
| X_49 = join(meet(top,X_49),meet(X_49,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) ),[1,0],$fot(meet(top,X_49))]]) ).
cnf(refute_0_903,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| X_49 = join(meet(top,X_49),meet(X_49,zero)) ),
inference(resolve,[$cnf( $equal(meet(X_49,top),meet(top,X_49)) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
X_49 = join(meet(top,X_49),meet(X_49,zero)),
inference(resolve,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) )],[refute_0_127,refute_0_903]) ).
cnf(refute_0_905,plain,
X_50 = join(meet(top,X_50),meet(X_50,zero)),
inference(subst,[],[refute_0_904:[bind(X_49,$fot(X_50))]]) ).
cnf(refute_0_906,plain,
meet(zero,X_50) = meet(X_50,zero),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(zero)),bind(X_30,$fot(X_50))]]) ).
cnf(refute_0_907,plain,
( meet(zero,X_50) != meet(X_50,zero)
| meet(X_50,zero) = meet(zero,X_50) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(zero,X_50))),bind(Y,$fot(meet(X_50,zero)))]]) ).
cnf(refute_0_908,plain,
meet(X_50,zero) = meet(zero,X_50),
inference(resolve,[$cnf( $equal(meet(zero,X_50),meet(X_50,zero)) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
( X_50 != join(meet(top,X_50),meet(X_50,zero))
| meet(X_50,zero) != meet(zero,X_50)
| X_50 = join(meet(top,X_50),meet(zero,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(X_50,join(meet(top,X_50),meet(X_50,zero))) ),[1,1],$fot(meet(zero,X_50))]]) ).
cnf(refute_0_910,plain,
( X_50 != join(meet(top,X_50),meet(X_50,zero))
| X_50 = join(meet(top,X_50),meet(zero,X_50)) ),
inference(resolve,[$cnf( $equal(meet(X_50,zero),meet(zero,X_50)) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
X_50 = join(meet(top,X_50),meet(zero,X_50)),
inference(resolve,[$cnf( $equal(X_50,join(meet(top,X_50),meet(X_50,zero))) )],[refute_0_905,refute_0_910]) ).
cnf(refute_0_912,plain,
meet(top,complement(one)) = join(meet(top,meet(top,complement(one))),meet(zero,meet(top,complement(one)))),
inference(subst,[],[refute_0_911:[bind(X_50,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_913,plain,
( meet(top,complement(one)) != join(meet(top,meet(top,complement(one))),meet(zero,meet(top,complement(one))))
| meet(zero,meet(top,complement(one))) != zero
| meet(top,complement(one)) = join(meet(top,meet(top,complement(one))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(meet(top,meet(top,complement(one))),meet(zero,meet(top,complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_914,plain,
( meet(top,complement(one)) != join(meet(top,meet(top,complement(one))),meet(zero,meet(top,complement(one))))
| meet(top,complement(one)) = join(meet(top,meet(top,complement(one))),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,meet(top,complement(one))),zero) )],[refute_0_863,refute_0_913]) ).
cnf(refute_0_915,plain,
meet(top,complement(one)) = join(meet(top,meet(top,complement(one))),zero),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(meet(top,meet(top,complement(one))),meet(zero,meet(top,complement(one))))) )],[refute_0_912,refute_0_914]) ).
cnf(refute_0_916,plain,
join(meet(top,meet(top,complement(one))),zero) = join(zero,meet(top,meet(top,complement(one)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_917,plain,
( join(meet(top,meet(top,complement(one))),zero) != join(zero,meet(top,meet(top,complement(one))))
| meet(top,complement(one)) != join(meet(top,meet(top,complement(one))),zero)
| meet(top,complement(one)) = join(zero,meet(top,meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(meet(top,meet(top,complement(one))),zero)) ),[1],$fot(join(zero,meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_918,plain,
( meet(top,complement(one)) != join(meet(top,meet(top,complement(one))),zero)
| meet(top,complement(one)) = join(zero,meet(top,meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(top,complement(one))),zero),join(zero,meet(top,meet(top,complement(one))))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
meet(top,complement(one)) = join(zero,meet(top,meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(meet(top,meet(top,complement(one))),zero)) )],[refute_0_915,refute_0_918]) ).
cnf(refute_0_920,plain,
( meet(top,complement(one)) != join(zero,meet(top,meet(top,complement(one))))
| join(zero,meet(top,meet(top,complement(one)))) = meet(top,complement(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,complement(one)))),bind(Y,$fot(join(zero,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_921,plain,
join(zero,meet(top,meet(top,complement(one)))) = meet(top,complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(zero,meet(top,meet(top,complement(one))))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
complement(join(zero,meet(top,meet(top,complement(one))))) = complement(join(zero,meet(top,meet(top,complement(one))))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_923,plain,
( complement(join(zero,meet(top,meet(top,complement(one))))) != complement(join(zero,meet(top,meet(top,complement(one)))))
| join(zero,meet(top,meet(top,complement(one)))) != meet(top,complement(one))
| complement(join(zero,meet(top,meet(top,complement(one))))) = complement(meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,meet(top,complement(one))))),complement(join(zero,meet(top,meet(top,complement(one)))))) ),[1,0],$fot(meet(top,complement(one)))]]) ).
cnf(refute_0_924,plain,
( join(zero,meet(top,meet(top,complement(one)))) != meet(top,complement(one))
| complement(join(zero,meet(top,meet(top,complement(one))))) = complement(meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,meet(top,complement(one))))),complement(join(zero,meet(top,meet(top,complement(one)))))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
complement(join(zero,meet(top,meet(top,complement(one))))) = complement(meet(top,complement(one))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(one)))),meet(top,complement(one))) )],[refute_0_921,refute_0_924]) ).
cnf(refute_0_926,plain,
( complement(join(zero,meet(top,meet(top,complement(one))))) != complement(meet(top,complement(one)))
| complement(meet(top,complement(one))) != one
| complement(join(zero,meet(top,meet(top,complement(one))))) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(zero,meet(top,meet(top,complement(one))))))),bind(Y,$fot(complement(meet(top,complement(one))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_927,plain,
( complement(meet(top,complement(one))) != one
| complement(join(zero,meet(top,meet(top,complement(one))))) = one ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,meet(top,complement(one))))),complement(meet(top,complement(one)))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
complement(join(zero,meet(top,meet(top,complement(one))))) = one,
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_927]) ).
cnf(refute_0_929,plain,
complement(complement(join(zero,meet(top,meet(top,complement(one)))))) = complement(complement(join(zero,meet(top,meet(top,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(complement(join(zero,meet(top,meet(top,complement(one)))))))]]) ).
cnf(refute_0_930,plain,
( complement(complement(join(zero,meet(top,meet(top,complement(one)))))) != complement(complement(join(zero,meet(top,meet(top,complement(one))))))
| complement(join(zero,meet(top,meet(top,complement(one))))) != one
| complement(complement(join(zero,meet(top,meet(top,complement(one)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(top,complement(one)))))),complement(complement(join(zero,meet(top,meet(top,complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_931,plain,
( complement(join(zero,meet(top,meet(top,complement(one))))) != one
| complement(complement(join(zero,meet(top,meet(top,complement(one)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(top,complement(one)))))),complement(complement(join(zero,meet(top,meet(top,complement(one))))))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
complement(complement(join(zero,meet(top,meet(top,complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,meet(top,complement(one))))),one) )],[refute_0_928,refute_0_931]) ).
cnf(refute_0_933,plain,
( complement(complement(join(zero,meet(top,meet(top,complement(one)))))) != complement(one)
| meet(top,complement(one)) != complement(complement(join(zero,meet(top,meet(top,complement(one))))))
| meet(top,complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),complement(complement(join(zero,meet(top,meet(top,complement(one))))))) ),[1],$fot(complement(one))]]) ).
cnf(refute_0_934,plain,
( meet(top,complement(one)) != complement(complement(join(zero,meet(top,meet(top,complement(one))))))
| meet(top,complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(top,complement(one)))))),complement(one)) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
meet(top,complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(complement(join(zero,meet(top,meet(top,complement(one))))))) )],[refute_0_898,refute_0_934]) ).
cnf(refute_0_936,plain,
meet(top,meet(top,complement(one))) = meet(top,meet(top,complement(one))),
introduced(tautology,[refl,[$fot(meet(top,meet(top,complement(one))))]]) ).
cnf(refute_0_937,plain,
( meet(top,complement(one)) != complement(one)
| meet(top,meet(top,complement(one))) != meet(top,meet(top,complement(one)))
| meet(top,meet(top,complement(one))) = meet(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(top,complement(one))),meet(top,meet(top,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_938,plain,
( meet(top,complement(one)) != complement(one)
| meet(top,meet(top,complement(one))) = meet(top,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(one))),meet(top,meet(top,complement(one)))) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
meet(top,meet(top,complement(one))) = meet(top,complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_938]) ).
cnf(refute_0_940,plain,
( meet(top,complement(one)) != complement(one)
| meet(top,meet(top,complement(one))) != meet(top,complement(one))
| meet(top,meet(top,complement(one))) = complement(one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(top,meet(top,complement(one))))),bind(Y,$fot(meet(top,complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_941,plain,
( meet(top,complement(one)) != complement(one)
| meet(top,meet(top,complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(one))),meet(top,complement(one))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
meet(top,meet(top,complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_941]) ).
cnf(refute_0_943,plain,
join(one,meet(top,meet(top,complement(one)))) = join(one,meet(top,meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(join(one,meet(top,meet(top,complement(one)))))]]) ).
cnf(refute_0_944,plain,
( join(one,meet(top,meet(top,complement(one)))) != join(one,meet(top,meet(top,complement(one))))
| meet(top,meet(top,complement(one))) != complement(one)
| join(one,meet(top,meet(top,complement(one)))) = join(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(top,meet(top,complement(one)))),join(one,meet(top,meet(top,complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_945,plain,
( meet(top,meet(top,complement(one))) != complement(one)
| join(one,meet(top,meet(top,complement(one)))) = join(one,complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,meet(top,meet(top,complement(one)))),join(one,meet(top,meet(top,complement(one))))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
join(one,meet(top,meet(top,complement(one)))) = join(one,complement(one)),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(one))),complement(one)) )],[refute_0_942,refute_0_945]) ).
cnf(refute_0_947,plain,
( join(one,complement(one)) != top
| join(one,meet(top,meet(top,complement(one)))) != join(one,complement(one))
| join(one,meet(top,meet(top,complement(one)))) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,meet(top,meet(top,complement(one)))))),bind(Y,$fot(join(one,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_948,plain,
( join(one,complement(one)) != top
| join(one,meet(top,meet(top,complement(one)))) = top ),
inference(resolve,[$cnf( $equal(join(one,meet(top,meet(top,complement(one)))),join(one,complement(one))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
join(one,meet(top,meet(top,complement(one)))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_722,refute_0_948]) ).
cnf(refute_0_950,plain,
join(X0,join(one,meet(top,meet(top,complement(one))))) = join(X0,join(one,meet(top,meet(top,complement(one))))),
introduced(tautology,[refl,[$fot(join(X0,join(one,meet(top,meet(top,complement(one))))))]]) ).
cnf(refute_0_951,plain,
( join(X0,join(one,meet(top,meet(top,complement(one))))) != join(X0,join(one,meet(top,meet(top,complement(one)))))
| join(one,meet(top,meet(top,complement(one)))) != top
| join(X0,join(one,meet(top,meet(top,complement(one))))) = join(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,meet(top,meet(top,complement(one))))),join(X0,join(one,meet(top,meet(top,complement(one)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_952,plain,
( join(one,meet(top,meet(top,complement(one)))) != top
| join(X0,join(one,meet(top,meet(top,complement(one))))) = join(X0,top) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,meet(top,meet(top,complement(one))))),join(X0,join(one,meet(top,meet(top,complement(one)))))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
join(X0,join(one,meet(top,meet(top,complement(one))))) = join(X0,top),
inference(resolve,[$cnf( $equal(join(one,meet(top,meet(top,complement(one)))),top) )],[refute_0_949,refute_0_952]) ).
cnf(refute_0_954,plain,
join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),
introduced(tautology,[refl,[$fot(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))))]]) ).
cnf(refute_0_955,plain,
( join(X0,join(one,meet(top,meet(top,complement(one))))) != join(X0,top)
| join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) != join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))
| join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(zero,join(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))) ),[1,1],$fot(join(X0,top))]]) ).
cnf(refute_0_956,plain,
( join(X0,join(one,meet(top,meet(top,complement(one))))) != join(X0,top)
| join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(zero,join(X0,top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(zero,join(X0,top)),
inference(resolve,[$cnf( $equal(join(X0,join(one,meet(top,meet(top,complement(one))))),join(X0,top)) )],[refute_0_953,refute_0_956]) ).
cnf(refute_0_958,plain,
( join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) != join(zero,join(X0,top))
| join(zero,join(X0,top)) != join(top,X0)
| join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(top,X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))))),bind(Y,$fot(join(zero,join(X0,top)))),bind(Z,$fot(join(top,X0)))]]) ).
cnf(refute_0_959,plain,
( join(zero,join(X0,top)) != join(top,X0)
| join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(top,X0) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),join(zero,join(X0,top))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) = join(top,X0),
inference(resolve,[$cnf( $equal(join(zero,join(X0,top)),join(top,X0)) )],[refute_0_721,refute_0_959]) ).
cnf(refute_0_961,plain,
( join(X0,top) != join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))
| join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))) != join(top,X0)
| join(X0,top) = join(top,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,top),join(top,X0)) ),[0],$fot(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))))]]) ).
cnf(refute_0_962,plain,
( join(X0,top) != join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))
| join(X0,top) = join(top,X0) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(one,meet(top,meet(top,complement(one)))))),join(top,X0)) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
join(X0,top) = join(top,X0),
inference(resolve,[$cnf( $equal(join(X0,top),join(zero,join(X0,join(one,meet(top,meet(top,complement(one))))))) )],[refute_0_520,refute_0_962]) ).
cnf(refute_0_964,plain,
join(complement(X_110),top) = join(top,complement(X_110)),
inference(subst,[],[refute_0_963:[bind(X0,$fot(complement(X_110)))]]) ).
cnf(refute_0_965,plain,
( join(complement(X_110),top) != join(top,complement(X_110))
| top != join(complement(X_110),top)
| top = join(top,complement(X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_110),top)) ),[1],$fot(join(top,complement(X_110)))]]) ).
cnf(refute_0_966,plain,
( top != join(complement(X_110),top)
| top = join(top,complement(X_110)) ),
inference(resolve,[$cnf( $equal(join(complement(X_110),top),join(top,complement(X_110))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
top = join(top,complement(X_110)),
inference(resolve,[$cnf( $equal(top,join(complement(X_110),top)) )],[refute_0_366,refute_0_966]) ).
cnf(refute_0_968,plain,
( top != join(top,complement(X_110))
| join(top,complement(X_110)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_110))))]]) ).
cnf(refute_0_969,plain,
join(top,complement(X_110)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_110))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
join(top,complement(X1)) = top,
inference(subst,[],[refute_0_969:[bind(X_110,$fot(X1))]]) ).
cnf(refute_0_971,plain,
complement(join(top,complement(X1))) = complement(join(top,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(X1))))]]) ).
cnf(refute_0_972,plain,
( complement(join(top,complement(X1))) != complement(join(top,complement(X1)))
| join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_973,plain,
( join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
complement(join(top,complement(X1))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(X1)),top) )],[refute_0_970,refute_0_973]) ).
cnf(refute_0_975,plain,
( complement(join(top,complement(X1))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(top,complement(X1))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_976,plain,
( complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(top)) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
complement(join(top,complement(X1))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_976]) ).
cnf(refute_0_978,plain,
( complement(join(top,complement(X1))) != zero
| meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_979,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),zero) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_204,refute_0_979]) ).
cnf(refute_0_981,plain,
meet(zero,X_37) = zero,
inference(subst,[],[refute_0_980:[bind(X1,$fot(X_37))]]) ).
cnf(refute_0_982,plain,
( X_37 != join(meet(zero,X_37),complement(join(complement(X_37),zero)))
| meet(zero,X_37) != zero
| X_37 = join(zero,complement(join(complement(X_37),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(zero,X_37),complement(join(complement(X_37),zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_983,plain,
( X_37 != join(meet(zero,X_37),complement(join(complement(X_37),zero)))
| X_37 = join(zero,complement(join(complement(X_37),zero))) ),
inference(resolve,[$cnf( $equal(meet(zero,X_37),zero) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
X_37 = join(zero,complement(join(complement(X_37),zero))),
inference(resolve,[$cnf( $equal(X_37,join(meet(zero,X_37),complement(join(complement(X_37),zero)))) )],[refute_0_82,refute_0_983]) ).
cnf(refute_0_985,plain,
join(meet(top,X_50),zero) = join(zero,meet(top,X_50)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_50)))]]) ).
cnf(refute_0_986,plain,
meet(zero,X_50) = zero,
inference(subst,[],[refute_0_980:[bind(X1,$fot(X_50))]]) ).
cnf(refute_0_987,plain,
join(meet(top,X_50),meet(zero,X_50)) = join(meet(top,X_50),meet(zero,X_50)),
introduced(tautology,[refl,[$fot(join(meet(top,X_50),meet(zero,X_50)))]]) ).
cnf(refute_0_988,plain,
( join(meet(top,X_50),meet(zero,X_50)) != join(meet(top,X_50),meet(zero,X_50))
| meet(zero,X_50) != zero
| join(meet(top,X_50),meet(zero,X_50)) = join(meet(top,X_50),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_50),meet(zero,X_50)),join(meet(top,X_50),meet(zero,X_50))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_989,plain,
( meet(zero,X_50) != zero
| join(meet(top,X_50),meet(zero,X_50)) = join(meet(top,X_50),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_50),meet(zero,X_50)),join(meet(top,X_50),meet(zero,X_50))) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
join(meet(top,X_50),meet(zero,X_50)) = join(meet(top,X_50),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_50),zero) )],[refute_0_986,refute_0_989]) ).
cnf(refute_0_991,plain,
( join(meet(top,X_50),meet(zero,X_50)) != join(meet(top,X_50),zero)
| join(meet(top,X_50),zero) != join(zero,meet(top,X_50))
| join(meet(top,X_50),meet(zero,X_50)) = join(zero,meet(top,X_50)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(top,X_50),meet(zero,X_50)))),bind(Y,$fot(join(meet(top,X_50),zero))),bind(Z,$fot(join(zero,meet(top,X_50))))]]) ).
cnf(refute_0_992,plain,
( join(meet(top,X_50),zero) != join(zero,meet(top,X_50))
| join(meet(top,X_50),meet(zero,X_50)) = join(zero,meet(top,X_50)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_50),meet(zero,X_50)),join(meet(top,X_50),zero)) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
join(meet(top,X_50),meet(zero,X_50)) = join(zero,meet(top,X_50)),
inference(resolve,[$cnf( $equal(join(meet(top,X_50),zero),join(zero,meet(top,X_50))) )],[refute_0_985,refute_0_992]) ).
cnf(refute_0_994,plain,
( X_50 != join(meet(top,X_50),meet(zero,X_50))
| join(meet(top,X_50),meet(zero,X_50)) != join(zero,meet(top,X_50))
| X_50 = join(zero,meet(top,X_50)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_50,join(zero,meet(top,X_50))) ),[0],$fot(join(meet(top,X_50),meet(zero,X_50)))]]) ).
cnf(refute_0_995,plain,
( X_50 != join(meet(top,X_50),meet(zero,X_50))
| X_50 = join(zero,meet(top,X_50)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_50),meet(zero,X_50)),join(zero,meet(top,X_50))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
X_50 = join(zero,meet(top,X_50)),
inference(resolve,[$cnf( $equal(X_50,join(meet(top,X_50),meet(zero,X_50))) )],[refute_0_911,refute_0_995]) ).
cnf(refute_0_997,plain,
( X_50 != join(zero,meet(top,X_50))
| join(zero,meet(top,X_50)) = X_50 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_50)),bind(Y,$fot(join(zero,meet(top,X_50))))]]) ).
cnf(refute_0_998,plain,
join(zero,meet(top,X_50)) = X_50,
inference(resolve,[$cnf( $equal(X_50,join(zero,meet(top,X_50))) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
join(zero,meet(top,X_33)) = X_33,
inference(subst,[],[refute_0_998:[bind(X_50,$fot(X_33))]]) ).
cnf(refute_0_1000,plain,
complement(join(zero,meet(top,X_33))) = complement(join(zero,meet(top,X_33))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_33))))]]) ).
cnf(refute_0_1001,plain,
( complement(join(zero,meet(top,X_33))) != complement(join(zero,meet(top,X_33)))
| join(zero,meet(top,X_33)) != X_33
| complement(join(zero,meet(top,X_33))) = complement(X_33) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_33))),complement(join(zero,meet(top,X_33)))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_1002,plain,
( join(zero,meet(top,X_33)) != X_33
| complement(join(zero,meet(top,X_33))) = complement(X_33) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_33))),complement(join(zero,meet(top,X_33)))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
complement(join(zero,meet(top,X_33))) = complement(X_33),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_33)),X_33) )],[refute_0_999,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( complement(join(zero,meet(top,X_33))) != complement(X_33)
| meet(top,complement(meet(top,X_33))) != complement(join(zero,meet(top,X_33)))
| meet(top,complement(meet(top,X_33))) = complement(X_33) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,X_33))),complement(join(zero,meet(top,X_33)))) ),[1],$fot(complement(X_33))]]) ).
cnf(refute_0_1005,plain,
( meet(top,complement(meet(top,X_33))) != complement(join(zero,meet(top,X_33)))
| meet(top,complement(meet(top,X_33))) = complement(X_33) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_33))),complement(X_33)) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
meet(top,complement(meet(top,X_33))) = complement(X_33),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_33))),complement(join(zero,meet(top,X_33)))) )],[refute_0_874,refute_0_1005]) ).
cnf(refute_0_1007,plain,
meet(top,complement(meet(top,X_37))) = complement(X_37),
inference(subst,[],[refute_0_1006:[bind(X_33,$fot(X_37))]]) ).
cnf(refute_0_1008,plain,
join(zero,complement(X_37)) = complement(meet(top,X_37)),
inference(subst,[],[refute_0_455:[bind(X1,$fot(X_37))]]) ).
cnf(refute_0_1009,plain,
join(complement(X_37),zero) = join(zero,complement(X_37)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_37)))]]) ).
cnf(refute_0_1010,plain,
( join(complement(X_37),zero) != join(zero,complement(X_37))
| join(zero,complement(X_37)) != complement(meet(top,X_37))
| join(complement(X_37),zero) = complement(meet(top,X_37)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(X_37),zero))),bind(Y,$fot(join(zero,complement(X_37)))),bind(Z,$fot(complement(meet(top,X_37))))]]) ).
cnf(refute_0_1011,plain,
( join(zero,complement(X_37)) != complement(meet(top,X_37))
| join(complement(X_37),zero) = complement(meet(top,X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),zero),join(zero,complement(X_37))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
join(complement(X_37),zero) = complement(meet(top,X_37)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_37)),complement(meet(top,X_37))) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
meet(top,join(complement(X_37),zero)) = meet(top,join(complement(X_37),zero)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(X_37),zero)))]]) ).
cnf(refute_0_1014,plain,
( join(complement(X_37),zero) != complement(meet(top,X_37))
| meet(top,join(complement(X_37),zero)) != meet(top,join(complement(X_37),zero))
| meet(top,join(complement(X_37),zero)) = meet(top,complement(meet(top,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(X_37),zero)),meet(top,join(complement(X_37),zero))) ),[1,1],$fot(complement(meet(top,X_37)))]]) ).
cnf(refute_0_1015,plain,
( join(complement(X_37),zero) != complement(meet(top,X_37))
| meet(top,join(complement(X_37),zero)) = meet(top,complement(meet(top,X_37))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X_37),zero)),meet(top,join(complement(X_37),zero))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
meet(top,join(complement(X_37),zero)) = meet(top,complement(meet(top,X_37))),
inference(resolve,[$cnf( $equal(join(complement(X_37),zero),complement(meet(top,X_37))) )],[refute_0_1012,refute_0_1015]) ).
cnf(refute_0_1017,plain,
( meet(top,complement(meet(top,X_37))) != complement(X_37)
| meet(top,join(complement(X_37),zero)) != meet(top,complement(meet(top,X_37)))
| meet(top,join(complement(X_37),zero)) = complement(X_37) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(top,join(complement(X_37),zero)))),bind(Y,$fot(meet(top,complement(meet(top,X_37))))),bind(Z,$fot(complement(X_37)))]]) ).
cnf(refute_0_1018,plain,
( meet(top,complement(meet(top,X_37))) != complement(X_37)
| meet(top,join(complement(X_37),zero)) = complement(X_37) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X_37),zero)),meet(top,complement(meet(top,X_37)))) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
meet(top,join(complement(X_37),zero)) = complement(X_37),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_37))),complement(X_37)) )],[refute_0_1007,refute_0_1018]) ).
cnf(refute_0_1020,plain,
complement(meet(top,join(complement(X_37),zero))) = complement(meet(top,join(complement(X_37),zero))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(X_37),zero))))]]) ).
cnf(refute_0_1021,plain,
( complement(meet(top,join(complement(X_37),zero))) != complement(meet(top,join(complement(X_37),zero)))
| meet(top,join(complement(X_37),zero)) != complement(X_37)
| complement(meet(top,join(complement(X_37),zero))) = complement(complement(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(X_37),zero))),complement(meet(top,join(complement(X_37),zero)))) ),[1,0],$fot(complement(X_37))]]) ).
cnf(refute_0_1022,plain,
( meet(top,join(complement(X_37),zero)) != complement(X_37)
| complement(meet(top,join(complement(X_37),zero))) = complement(complement(X_37)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X_37),zero))),complement(meet(top,join(complement(X_37),zero)))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
complement(meet(top,join(complement(X_37),zero))) = complement(complement(X_37)),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X_37),zero)),complement(X_37)) )],[refute_0_1019,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(zero,complement(join(complement(X_37),zero))) = complement(meet(top,join(complement(X_37),zero))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(join(complement(X_37),zero)))]]) ).
cnf(refute_0_1025,plain,
( complement(meet(top,join(complement(X_37),zero))) != complement(complement(X_37))
| join(zero,complement(join(complement(X_37),zero))) != complement(meet(top,join(complement(X_37),zero)))
| join(zero,complement(join(complement(X_37),zero))) = complement(complement(X_37)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,complement(join(complement(X_37),zero))))),bind(Y,$fot(complement(meet(top,join(complement(X_37),zero))))),bind(Z,$fot(complement(complement(X_37))))]]) ).
cnf(refute_0_1026,plain,
( complement(meet(top,join(complement(X_37),zero))) != complement(complement(X_37))
| join(zero,complement(join(complement(X_37),zero))) = complement(complement(X_37)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_37),zero))),complement(meet(top,join(complement(X_37),zero)))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
join(zero,complement(join(complement(X_37),zero))) = complement(complement(X_37)),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X_37),zero))),complement(complement(X_37))) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( X_37 != join(zero,complement(join(complement(X_37),zero)))
| join(zero,complement(join(complement(X_37),zero))) != complement(complement(X_37))
| X_37 = complement(complement(X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,complement(complement(X_37))) ),[0],$fot(join(zero,complement(join(complement(X_37),zero))))]]) ).
cnf(refute_0_1029,plain,
( X_37 != join(zero,complement(join(complement(X_37),zero)))
| X_37 = complement(complement(X_37)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_37),zero))),complement(complement(X_37))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
X_37 = complement(complement(X_37)),
inference(resolve,[$cnf( $equal(X_37,join(zero,complement(join(complement(X_37),zero)))) )],[refute_0_984,refute_0_1029]) ).
cnf(refute_0_1031,plain,
( X_37 != complement(complement(X_37))
| complement(complement(X_37)) = X_37 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(complement(complement(X_37))))]]) ).
cnf(refute_0_1032,plain,
complement(complement(X_37)) = X_37,
inference(resolve,[$cnf( $equal(X_37,complement(complement(X_37))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( complement(complement(X_37)) != X_37
| join(complement(complement(X_37)),composition(X_126,complement(composition(converse(X_126),complement(X_37))))) != complement(complement(X_37))
| join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = complement(complement(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_37)),composition(X_126,complement(composition(converse(X_126),complement(X_37))))),complement(complement(X_37))) ),[0,0],$fot(X_37)]]) ).
cnf(refute_0_1034,plain,
( join(complement(complement(X_37)),composition(X_126,complement(composition(converse(X_126),complement(X_37))))) != complement(complement(X_37))
| join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = complement(complement(X_37)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_37)),X_37) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = complement(complement(X_37)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_37)),composition(X_126,complement(composition(converse(X_126),complement(X_37))))),complement(complement(X_37))) )],[refute_0_58,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( complement(complement(X_37)) != X_37
| join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) != complement(complement(X_37))
| join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = X_37 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))),complement(complement(X_37))) ),[1],$fot(X_37)]]) ).
cnf(refute_0_1037,plain,
( join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) != complement(complement(X_37))
| join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = X_37 ),
inference(resolve,[$cnf( $equal(complement(complement(X_37)),X_37) )],[refute_0_1032,refute_0_1036]) ).
cnf(refute_0_1038,plain,
join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))) = X_37,
inference(resolve,[$cnf( $equal(join(X_37,composition(X_126,complement(composition(converse(X_126),complement(X_37))))),complement(complement(X_37))) )],[refute_0_1035,refute_0_1037]) ).
cnf(refute_0_1039,plain,
join(X_129,composition(one,complement(composition(converse(one),complement(X_129))))) = X_129,
inference(subst,[],[refute_0_1038:[bind(X_126,$fot(one)),bind(X_37,$fot(X_129))]]) ).
cnf(refute_0_1040,plain,
( converse(one) != one
| join(X_129,composition(one,complement(composition(converse(one),complement(X_129))))) != X_129
| join(X_129,composition(one,complement(composition(one,complement(X_129))))) = X_129 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,composition(one,complement(composition(converse(one),complement(X_129))))),X_129) ),[0,1,1,0,0],$fot(one)]]) ).
cnf(refute_0_1041,plain,
( join(X_129,composition(one,complement(composition(converse(one),complement(X_129))))) != X_129
| join(X_129,composition(one,complement(composition(one,complement(X_129))))) = X_129 ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_1040]) ).
cnf(refute_0_1042,plain,
join(X_129,composition(one,complement(composition(one,complement(X_129))))) = X_129,
inference(resolve,[$cnf( $equal(join(X_129,composition(one,complement(composition(converse(one),complement(X_129))))),X_129) )],[refute_0_1039,refute_0_1041]) ).
cnf(refute_0_1043,plain,
complement(complement(X_129)) = X_129,
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(X_129))]]) ).
cnf(refute_0_1044,plain,
composition(one,complement(X_129)) = complement(X_129),
inference(subst,[],[refute_0_269:[bind(X_20,$fot(complement(X_129)))]]) ).
cnf(refute_0_1045,plain,
complement(composition(one,complement(X_129))) = complement(composition(one,complement(X_129))),
introduced(tautology,[refl,[$fot(complement(composition(one,complement(X_129))))]]) ).
cnf(refute_0_1046,plain,
( complement(composition(one,complement(X_129))) != complement(composition(one,complement(X_129)))
| composition(one,complement(X_129)) != complement(X_129)
| complement(composition(one,complement(X_129))) = complement(complement(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,complement(X_129))),complement(composition(one,complement(X_129)))) ),[1,0],$fot(complement(X_129))]]) ).
cnf(refute_0_1047,plain,
( composition(one,complement(X_129)) != complement(X_129)
| complement(composition(one,complement(X_129))) = complement(complement(X_129)) ),
inference(resolve,[$cnf( $equal(complement(composition(one,complement(X_129))),complement(composition(one,complement(X_129)))) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
complement(composition(one,complement(X_129))) = complement(complement(X_129)),
inference(resolve,[$cnf( $equal(composition(one,complement(X_129)),complement(X_129)) )],[refute_0_1044,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( complement(complement(X_129)) != X_129
| complement(composition(one,complement(X_129))) != complement(complement(X_129))
| complement(composition(one,complement(X_129))) = X_129 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(composition(one,complement(X_129))))),bind(Y,$fot(complement(complement(X_129)))),bind(Z,$fot(X_129))]]) ).
cnf(refute_0_1050,plain,
( complement(complement(X_129)) != X_129
| complement(composition(one,complement(X_129))) = X_129 ),
inference(resolve,[$cnf( $equal(complement(composition(one,complement(X_129))),complement(complement(X_129))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
complement(composition(one,complement(X_129))) = X_129,
inference(resolve,[$cnf( $equal(complement(complement(X_129)),X_129) )],[refute_0_1043,refute_0_1050]) ).
cnf(refute_0_1052,plain,
composition(one,complement(composition(one,complement(X_129)))) = complement(composition(one,complement(X_129))),
inference(subst,[],[refute_0_269:[bind(X_20,$fot(complement(composition(one,complement(X_129)))))]]) ).
cnf(refute_0_1053,plain,
( complement(composition(one,complement(X_129))) != X_129
| composition(one,complement(composition(one,complement(X_129)))) != complement(composition(one,complement(X_129)))
| composition(one,complement(composition(one,complement(X_129)))) = X_129 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(one,complement(composition(one,complement(X_129)))))),bind(Y,$fot(complement(composition(one,complement(X_129))))),bind(Z,$fot(X_129))]]) ).
cnf(refute_0_1054,plain,
( complement(composition(one,complement(X_129))) != X_129
| composition(one,complement(composition(one,complement(X_129)))) = X_129 ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,complement(X_129)))),complement(composition(one,complement(X_129)))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
composition(one,complement(composition(one,complement(X_129)))) = X_129,
inference(resolve,[$cnf( $equal(complement(composition(one,complement(X_129))),X_129) )],[refute_0_1051,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(X_129,composition(one,complement(composition(one,complement(X_129))))) = join(X_129,composition(one,complement(composition(one,complement(X_129))))),
introduced(tautology,[refl,[$fot(join(X_129,composition(one,complement(composition(one,complement(X_129))))))]]) ).
cnf(refute_0_1057,plain,
( composition(one,complement(composition(one,complement(X_129)))) != X_129
| join(X_129,composition(one,complement(composition(one,complement(X_129))))) != join(X_129,composition(one,complement(composition(one,complement(X_129)))))
| join(X_129,composition(one,complement(composition(one,complement(X_129))))) = join(X_129,X_129) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,composition(one,complement(composition(one,complement(X_129))))),join(X_129,composition(one,complement(composition(one,complement(X_129)))))) ),[1,1],$fot(X_129)]]) ).
cnf(refute_0_1058,plain,
( composition(one,complement(composition(one,complement(X_129)))) != X_129
| join(X_129,composition(one,complement(composition(one,complement(X_129))))) = join(X_129,X_129) ),
inference(resolve,[$cnf( $equal(join(X_129,composition(one,complement(composition(one,complement(X_129))))),join(X_129,composition(one,complement(composition(one,complement(X_129)))))) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
join(X_129,composition(one,complement(composition(one,complement(X_129))))) = join(X_129,X_129),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,complement(X_129)))),X_129) )],[refute_0_1055,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( join(X_129,composition(one,complement(composition(one,complement(X_129))))) != X_129
| join(X_129,composition(one,complement(composition(one,complement(X_129))))) != join(X_129,X_129)
| join(X_129,X_129) = X_129 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,composition(one,complement(composition(one,complement(X_129))))),X_129) ),[0],$fot(join(X_129,X_129))]]) ).
cnf(refute_0_1061,plain,
( join(X_129,composition(one,complement(composition(one,complement(X_129))))) != X_129
| join(X_129,X_129) = X_129 ),
inference(resolve,[$cnf( $equal(join(X_129,composition(one,complement(composition(one,complement(X_129))))),join(X_129,X_129)) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
join(X_129,X_129) = X_129,
inference(resolve,[$cnf( $equal(join(X_129,composition(one,complement(composition(one,complement(X_129))))),X_129) )],[refute_0_1042,refute_0_1061]) ).
cnf(refute_0_1063,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1062:[bind(X_129,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1064,plain,
X_48 = join(meet(X_48,X_47),meet(X_48,complement(X_47))),
inference(subst,[],[refute_0_94:[bind(X1,$fot(X_47)),bind(X_37,$fot(X_48))]]) ).
cnf(refute_0_1065,plain,
meet(X_47,X_48) = meet(X_48,X_47),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(X_47)),bind(X_30,$fot(X_48))]]) ).
cnf(refute_0_1066,plain,
( meet(X_47,X_48) != meet(X_48,X_47)
| meet(X_48,X_47) = meet(X_47,X_48) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_47,X_48))),bind(Y,$fot(meet(X_48,X_47)))]]) ).
cnf(refute_0_1067,plain,
meet(X_48,X_47) = meet(X_47,X_48),
inference(resolve,[$cnf( $equal(meet(X_47,X_48),meet(X_48,X_47)) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( X_48 != join(meet(X_48,X_47),meet(X_48,complement(X_47)))
| meet(X_48,X_47) != meet(X_47,X_48)
| X_48 = join(meet(X_47,X_48),meet(X_48,complement(X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(X_48,complement(X_47)))) ),[1,0],$fot(meet(X_47,X_48))]]) ).
cnf(refute_0_1069,plain,
( X_48 != join(meet(X_48,X_47),meet(X_48,complement(X_47)))
| X_48 = join(meet(X_47,X_48),meet(X_48,complement(X_47))) ),
inference(resolve,[$cnf( $equal(meet(X_48,X_47),meet(X_47,X_48)) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
X_48 = join(meet(X_47,X_48),meet(X_48,complement(X_47))),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(X_48,complement(X_47)))) )],[refute_0_1064,refute_0_1069]) ).
cnf(refute_0_1071,plain,
X_90 = join(meet(X_89,X_90),meet(X_90,complement(X_89))),
inference(subst,[],[refute_0_1070:[bind(X_47,$fot(X_89)),bind(X_48,$fot(X_90))]]) ).
cnf(refute_0_1072,plain,
meet(complement(X_89),X_90) = meet(X_90,complement(X_89)),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(complement(X_89))),bind(X_30,$fot(X_90))]]) ).
cnf(refute_0_1073,plain,
( meet(complement(X_89),X_90) != meet(X_90,complement(X_89))
| meet(X_90,complement(X_89)) = meet(complement(X_89),X_90) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_89),X_90))),bind(Y,$fot(meet(X_90,complement(X_89))))]]) ).
cnf(refute_0_1074,plain,
meet(X_90,complement(X_89)) = meet(complement(X_89),X_90),
inference(resolve,[$cnf( $equal(meet(complement(X_89),X_90),meet(X_90,complement(X_89))) )],[refute_0_1072,refute_0_1073]) ).
cnf(refute_0_1075,plain,
( X_90 != join(meet(X_89,X_90),meet(X_90,complement(X_89)))
| meet(X_90,complement(X_89)) != meet(complement(X_89),X_90)
| X_90 = join(meet(X_89,X_90),meet(complement(X_89),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(X_90,join(meet(X_89,X_90),meet(X_90,complement(X_89)))) ),[1,1],$fot(meet(complement(X_89),X_90))]]) ).
cnf(refute_0_1076,plain,
( X_90 != join(meet(X_89,X_90),meet(X_90,complement(X_89)))
| X_90 = join(meet(X_89,X_90),meet(complement(X_89),X_90)) ),
inference(resolve,[$cnf( $equal(meet(X_90,complement(X_89)),meet(complement(X_89),X_90)) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
X_90 = join(meet(X_89,X_90),meet(complement(X_89),X_90)),
inference(resolve,[$cnf( $equal(X_90,join(meet(X_89,X_90),meet(X_90,complement(X_89)))) )],[refute_0_1071,refute_0_1076]) ).
cnf(refute_0_1078,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1077:[bind(X_89,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_90,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1079,plain,
join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_1080,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1079:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one))),bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1081,plain,
meet(join(complement(X_29),complement(X_30)),X1) = meet(join(complement(X_29),complement(X_30)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_29),complement(X_30)),X1))]]) ).
cnf(refute_0_1082,plain,
( join(complement(X_29),complement(X_30)) != complement(meet(X_29,X_30))
| meet(join(complement(X_29),complement(X_30)),X1) != meet(join(complement(X_29),complement(X_30)),X1)
| meet(join(complement(X_29),complement(X_30)),X1) = meet(complement(meet(X_29,X_30)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),meet(join(complement(X_29),complement(X_30)),X1)) ),[1,0],$fot(complement(meet(X_29,X_30)))]]) ).
cnf(refute_0_1083,plain,
( join(complement(X_29),complement(X_30)) != complement(meet(X_29,X_30))
| meet(join(complement(X_29),complement(X_30)),X1) = meet(complement(meet(X_29,X_30)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),meet(join(complement(X_29),complement(X_30)),X1)) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
meet(join(complement(X_29),complement(X_30)),X1) = meet(complement(meet(X_29,X_30)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_29),complement(X_30)),complement(meet(X_29,X_30))) )],[refute_0_431,refute_0_1083]) ).
cnf(refute_0_1085,plain,
( meet(join(complement(X_29),complement(X_30)),X1) != complement(join(meet(X_29,X_30),complement(X1)))
| meet(join(complement(X_29),complement(X_30)),X1) != meet(complement(meet(X_29,X_30)),X1)
| meet(complement(meet(X_29,X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),complement(join(meet(X_29,X_30),complement(X1)))) ),[0],$fot(meet(complement(meet(X_29,X_30)),X1))]]) ).
cnf(refute_0_1086,plain,
( meet(join(complement(X_29),complement(X_30)),X1) != complement(join(meet(X_29,X_30),complement(X1)))
| meet(complement(meet(X_29,X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),meet(complement(meet(X_29,X_30)),X1)) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
meet(complement(meet(X_29,X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),complement(join(meet(X_29,X_30),complement(X1)))) )],[refute_0_114,refute_0_1086]) ).
cnf(refute_0_1088,plain,
meet(complement(meet(top,X_464)),X_462) = complement(join(meet(top,X_464),complement(X_462))),
inference(subst,[],[refute_0_1087:[bind(X1,$fot(X_462)),bind(X_29,$fot(top)),bind(X_30,$fot(X_464))]]) ).
cnf(refute_0_1089,plain,
meet(X_92,X_92) = join(zero,meet(meet(X_92,X_92),complement(complement(meet(X_92,X_92))))),
inference(subst,[],[refute_0_295:[bind(X_37,$fot(meet(X_92,X_92)))]]) ).
cnf(refute_0_1090,plain,
( complement(meet(X_92,X_92)) != complement(X_92)
| meet(X_92,X_92) != join(zero,meet(meet(X_92,X_92),complement(complement(meet(X_92,X_92)))))
| meet(X_92,X_92) = join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_92,X_92),join(zero,meet(meet(X_92,X_92),complement(complement(meet(X_92,X_92)))))) ),[1,1,1,0],$fot(complement(X_92))]]) ).
cnf(refute_0_1091,plain,
( meet(X_92,X_92) != join(zero,meet(meet(X_92,X_92),complement(complement(meet(X_92,X_92)))))
| meet(X_92,X_92) = join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_92,X_92)),complement(X_92)) )],[refute_0_353,refute_0_1090]) ).
cnf(refute_0_1092,plain,
meet(X_92,X_92) = join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))),
inference(resolve,[$cnf( $equal(meet(X_92,X_92),join(zero,meet(meet(X_92,X_92),complement(complement(meet(X_92,X_92)))))) )],[refute_0_1089,refute_0_1091]) ).
cnf(refute_0_1093,plain,
meet(meet(X_92,X_92),complement(complement(X_92))) = meet(complement(complement(X_92)),meet(X_92,X_92)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(complement(complement(X_92)))),bind(X_30,$fot(meet(X_92,X_92)))]]) ).
cnf(refute_0_1094,plain,
join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) = join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))))]]) ).
cnf(refute_0_1095,plain,
( join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) != join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))
| meet(meet(X_92,X_92),complement(complement(X_92))) != meet(complement(complement(X_92)),meet(X_92,X_92))
| join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))),join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))) ),[1,1],$fot(meet(complement(complement(X_92)),meet(X_92,X_92)))]]) ).
cnf(refute_0_1096,plain,
( meet(meet(X_92,X_92),complement(complement(X_92))) != meet(complement(complement(X_92)),meet(X_92,X_92))
| join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))),join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),
inference(resolve,[$cnf( $equal(meet(meet(X_92,X_92),complement(complement(X_92))),meet(complement(complement(X_92)),meet(X_92,X_92))) )],[refute_0_1093,refute_0_1096]) ).
cnf(refute_0_1098,plain,
( join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))) != join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))
| meet(X_92,X_92) != join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))
| meet(X_92,X_92) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_92,X_92),join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))) ),[1],$fot(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))))]]) ).
cnf(refute_0_1099,plain,
( meet(X_92,X_92) != join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))
| meet(X_92,X_92) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_92,X_92),complement(complement(X_92)))),join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
meet(X_92,X_92) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),
inference(resolve,[$cnf( $equal(meet(X_92,X_92),join(zero,meet(meet(X_92,X_92),complement(complement(X_92))))) )],[refute_0_1092,refute_0_1099]) ).
cnf(refute_0_1101,plain,
X_37 = join(meet(meet(X_37,X_37),X_37),complement(join(complement(X_37),meet(X_37,X_37)))),
inference(subst,[],[refute_0_81:[bind(X_38,$fot(meet(X_37,X_37)))]]) ).
cnf(refute_0_1102,plain,
top = join(complement(X_37),meet(X_37,X_37)),
inference(subst,[],[refute_0_360:[bind(X_92,$fot(X_37))]]) ).
cnf(refute_0_1103,plain,
( top != join(complement(X_37),meet(X_37,X_37))
| join(complement(X_37),meet(X_37,X_37)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_37),meet(X_37,X_37))))]]) ).
cnf(refute_0_1104,plain,
join(complement(X_37),meet(X_37,X_37)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_37),meet(X_37,X_37))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
( X_37 != join(meet(meet(X_37,X_37),X_37),complement(join(complement(X_37),meet(X_37,X_37))))
| join(complement(X_37),meet(X_37,X_37)) != top
| X_37 = join(meet(meet(X_37,X_37),X_37),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(meet(X_37,X_37),X_37),complement(join(complement(X_37),meet(X_37,X_37))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1106,plain,
( X_37 != join(meet(meet(X_37,X_37),X_37),complement(join(complement(X_37),meet(X_37,X_37))))
| X_37 = join(meet(meet(X_37,X_37),X_37),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),meet(X_37,X_37)),top) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
X_37 = join(meet(meet(X_37,X_37),X_37),complement(top)),
inference(resolve,[$cnf( $equal(X_37,join(meet(meet(X_37,X_37),X_37),complement(join(complement(X_37),meet(X_37,X_37))))) )],[refute_0_1101,refute_0_1106]) ).
cnf(refute_0_1108,plain,
meet(meet(X_37,X_37),X_37) = meet(X_37,meet(X_37,X_37)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(X_37)),bind(X_30,$fot(meet(X_37,X_37)))]]) ).
cnf(refute_0_1109,plain,
join(zero,meet(meet(X_37,X_37),X_37)) = join(zero,meet(meet(X_37,X_37),X_37)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_37,X_37),X_37)))]]) ).
cnf(refute_0_1110,plain,
( join(zero,meet(meet(X_37,X_37),X_37)) != join(zero,meet(meet(X_37,X_37),X_37))
| meet(meet(X_37,X_37),X_37) != meet(X_37,meet(X_37,X_37))
| join(zero,meet(meet(X_37,X_37),X_37)) = join(zero,meet(X_37,meet(X_37,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_37,X_37),X_37)),join(zero,meet(meet(X_37,X_37),X_37))) ),[1,1],$fot(meet(X_37,meet(X_37,X_37)))]]) ).
cnf(refute_0_1111,plain,
( meet(meet(X_37,X_37),X_37) != meet(X_37,meet(X_37,X_37))
| join(zero,meet(meet(X_37,X_37),X_37)) = join(zero,meet(X_37,meet(X_37,X_37))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_37,X_37),X_37)),join(zero,meet(meet(X_37,X_37),X_37))) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
join(zero,meet(meet(X_37,X_37),X_37)) = join(zero,meet(X_37,meet(X_37,X_37))),
inference(resolve,[$cnf( $equal(meet(meet(X_37,X_37),X_37),meet(X_37,meet(X_37,X_37))) )],[refute_0_1108,refute_0_1111]) ).
cnf(refute_0_1113,plain,
join(complement(top),meet(meet(X_37,X_37),X_37)) = join(complement(top),meet(meet(X_37,X_37),X_37)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(X_37,X_37),X_37)))]]) ).
cnf(refute_0_1114,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X_37,X_37),X_37)) != join(complement(top),meet(meet(X_37,X_37),X_37))
| join(complement(top),meet(meet(X_37,X_37),X_37)) = join(zero,meet(meet(X_37,X_37),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(X_37,X_37),X_37)),join(complement(top),meet(meet(X_37,X_37),X_37))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1115,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X_37,X_37),X_37)) = join(zero,meet(meet(X_37,X_37),X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_37,X_37),X_37)),join(complement(top),meet(meet(X_37,X_37),X_37))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
join(complement(top),meet(meet(X_37,X_37),X_37)) = join(zero,meet(meet(X_37,X_37),X_37)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_1115]) ).
cnf(refute_0_1117,plain,
( join(complement(top),meet(meet(X_37,X_37),X_37)) != join(zero,meet(meet(X_37,X_37),X_37))
| join(zero,meet(meet(X_37,X_37),X_37)) != join(zero,meet(X_37,meet(X_37,X_37)))
| join(complement(top),meet(meet(X_37,X_37),X_37)) = join(zero,meet(X_37,meet(X_37,X_37))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(meet(X_37,X_37),X_37)))),bind(Y,$fot(join(zero,meet(meet(X_37,X_37),X_37)))),bind(Z,$fot(join(zero,meet(X_37,meet(X_37,X_37)))))]]) ).
cnf(refute_0_1118,plain,
( join(zero,meet(meet(X_37,X_37),X_37)) != join(zero,meet(X_37,meet(X_37,X_37)))
| join(complement(top),meet(meet(X_37,X_37),X_37)) = join(zero,meet(X_37,meet(X_37,X_37))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_37,X_37),X_37)),join(zero,meet(meet(X_37,X_37),X_37))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
join(complement(top),meet(meet(X_37,X_37),X_37)) = join(zero,meet(X_37,meet(X_37,X_37))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_37,X_37),X_37)),join(zero,meet(X_37,meet(X_37,X_37)))) )],[refute_0_1112,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(meet(meet(X_37,X_37),X_37),complement(top)) = join(complement(top),meet(meet(X_37,X_37),X_37)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(meet(X_37,X_37),X_37)))]]) ).
cnf(refute_0_1121,plain,
( join(complement(top),meet(meet(X_37,X_37),X_37)) != join(zero,meet(X_37,meet(X_37,X_37)))
| join(meet(meet(X_37,X_37),X_37),complement(top)) != join(complement(top),meet(meet(X_37,X_37),X_37))
| join(meet(meet(X_37,X_37),X_37),complement(top)) = join(zero,meet(X_37,meet(X_37,X_37))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(meet(X_37,X_37),X_37),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(X_37,X_37),X_37)))),bind(Z,$fot(join(zero,meet(X_37,meet(X_37,X_37)))))]]) ).
cnf(refute_0_1122,plain,
( join(complement(top),meet(meet(X_37,X_37),X_37)) != join(zero,meet(X_37,meet(X_37,X_37)))
| join(meet(meet(X_37,X_37),X_37),complement(top)) = join(zero,meet(X_37,meet(X_37,X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_37,X_37),X_37),complement(top)),join(complement(top),meet(meet(X_37,X_37),X_37))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
join(meet(meet(X_37,X_37),X_37),complement(top)) = join(zero,meet(X_37,meet(X_37,X_37))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_37,X_37),X_37)),join(zero,meet(X_37,meet(X_37,X_37)))) )],[refute_0_1119,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( X_37 != join(meet(meet(X_37,X_37),X_37),complement(top))
| join(meet(meet(X_37,X_37),X_37),complement(top)) != join(zero,meet(X_37,meet(X_37,X_37)))
| X_37 = join(zero,meet(X_37,meet(X_37,X_37))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(zero,meet(X_37,meet(X_37,X_37)))) ),[0],$fot(join(meet(meet(X_37,X_37),X_37),complement(top)))]]) ).
cnf(refute_0_1125,plain,
( X_37 != join(meet(meet(X_37,X_37),X_37),complement(top))
| X_37 = join(zero,meet(X_37,meet(X_37,X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_37,X_37),X_37),complement(top)),join(zero,meet(X_37,meet(X_37,X_37)))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
X_37 = join(zero,meet(X_37,meet(X_37,X_37))),
inference(resolve,[$cnf( $equal(X_37,join(meet(meet(X_37,X_37),X_37),complement(top))) )],[refute_0_1107,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( X_37 != join(zero,meet(X_37,meet(X_37,X_37)))
| join(zero,meet(X_37,meet(X_37,X_37))) = X_37 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(join(zero,meet(X_37,meet(X_37,X_37)))))]]) ).
cnf(refute_0_1128,plain,
join(zero,meet(X_37,meet(X_37,X_37))) = X_37,
inference(resolve,[$cnf( $equal(X_37,join(zero,meet(X_37,meet(X_37,X_37)))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
join(zero,meet(X_92,meet(X_92,X_92))) = X_92,
inference(subst,[],[refute_0_1128:[bind(X_37,$fot(X_92))]]) ).
cnf(refute_0_1130,plain,
complement(complement(X_92)) = X_92,
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(X_92))]]) ).
cnf(refute_0_1131,plain,
meet(complement(complement(X_92)),meet(X_92,X_92)) = meet(complement(complement(X_92)),meet(X_92,X_92)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_92)),meet(X_92,X_92)))]]) ).
cnf(refute_0_1132,plain,
( complement(complement(X_92)) != X_92
| meet(complement(complement(X_92)),meet(X_92,X_92)) != meet(complement(complement(X_92)),meet(X_92,X_92))
| meet(complement(complement(X_92)),meet(X_92,X_92)) = meet(X_92,meet(X_92,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_92)),meet(X_92,X_92)),meet(complement(complement(X_92)),meet(X_92,X_92))) ),[1,0],$fot(X_92)]]) ).
cnf(refute_0_1133,plain,
( complement(complement(X_92)) != X_92
| meet(complement(complement(X_92)),meet(X_92,X_92)) = meet(X_92,meet(X_92,X_92)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_92)),meet(X_92,X_92)),meet(complement(complement(X_92)),meet(X_92,X_92))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
meet(complement(complement(X_92)),meet(X_92,X_92)) = meet(X_92,meet(X_92,X_92)),
inference(resolve,[$cnf( $equal(complement(complement(X_92)),X_92) )],[refute_0_1130,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))))]]) ).
cnf(refute_0_1136,plain,
( join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) != join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))
| meet(complement(complement(X_92)),meet(X_92,X_92)) != meet(X_92,meet(X_92,X_92))
| join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = join(zero,meet(X_92,meet(X_92,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))) ),[1,1],$fot(meet(X_92,meet(X_92,X_92)))]]) ).
cnf(refute_0_1137,plain,
( meet(complement(complement(X_92)),meet(X_92,X_92)) != meet(X_92,meet(X_92,X_92))
| join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = join(zero,meet(X_92,meet(X_92,X_92))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = join(zero,meet(X_92,meet(X_92,X_92))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_92)),meet(X_92,X_92)),meet(X_92,meet(X_92,X_92))) )],[refute_0_1134,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( join(zero,meet(X_92,meet(X_92,X_92))) != X_92
| join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) != join(zero,meet(X_92,meet(X_92,X_92)))
| join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = X_92 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))))),bind(Y,$fot(join(zero,meet(X_92,meet(X_92,X_92))))),bind(Z,$fot(X_92))]]) ).
cnf(refute_0_1140,plain,
( join(zero,meet(X_92,meet(X_92,X_92))) != X_92
| join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = X_92 ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),join(zero,meet(X_92,meet(X_92,X_92)))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) = X_92,
inference(resolve,[$cnf( $equal(join(zero,meet(X_92,meet(X_92,X_92))),X_92) )],[refute_0_1129,refute_0_1140]) ).
cnf(refute_0_1142,plain,
( join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))) != X_92
| meet(X_92,X_92) != join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))
| meet(X_92,X_92) = X_92 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_92,X_92),join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))) ),[1],$fot(X_92)]]) ).
cnf(refute_0_1143,plain,
( meet(X_92,X_92) != join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))
| meet(X_92,X_92) = X_92 ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_92)),meet(X_92,X_92))),X_92) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
meet(X_92,X_92) = X_92,
inference(resolve,[$cnf( $equal(meet(X_92,X_92),join(zero,meet(complement(complement(X_92)),meet(X_92,X_92)))) )],[refute_0_1100,refute_0_1143]) ).
cnf(refute_0_1145,plain,
meet(X_37,X_37) = X_37,
inference(subst,[],[refute_0_1144:[bind(X_92,$fot(X_37))]]) ).
cnf(refute_0_1146,plain,
join(zero,meet(X_37,X_37)) = join(zero,meet(X_37,X_37)),
introduced(tautology,[refl,[$fot(join(zero,meet(X_37,X_37)))]]) ).
cnf(refute_0_1147,plain,
( join(zero,meet(X_37,X_37)) != join(zero,meet(X_37,X_37))
| meet(X_37,X_37) != X_37
| join(zero,meet(X_37,X_37)) = join(zero,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_37,X_37)),join(zero,meet(X_37,X_37))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_1148,plain,
( meet(X_37,X_37) != X_37
| join(zero,meet(X_37,X_37)) = join(zero,X_37) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,X_37)),join(zero,meet(X_37,X_37))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(zero,meet(X_37,X_37)) = join(zero,X_37),
inference(resolve,[$cnf( $equal(meet(X_37,X_37),X_37) )],[refute_0_1145,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( X_37 != join(zero,meet(X_37,X_37))
| join(zero,meet(X_37,X_37)) != join(zero,X_37)
| X_37 = join(zero,X_37) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(zero,X_37)) ),[0],$fot(join(zero,meet(X_37,X_37)))]]) ).
cnf(refute_0_1151,plain,
( X_37 != join(zero,meet(X_37,X_37))
| X_37 = join(zero,X_37) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,X_37)),join(zero,X_37)) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
X_37 = join(zero,X_37),
inference(resolve,[$cnf( $equal(X_37,join(zero,meet(X_37,X_37))) )],[refute_0_423,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( X_37 != join(zero,X_37)
| join(zero,X_37) = X_37 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(join(zero,X_37)))]]) ).
cnf(refute_0_1154,plain,
join(zero,X_37) = X_37,
inference(resolve,[$cnf( $equal(X_37,join(zero,X_37)) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
join(zero,meet(top,X_50)) = meet(top,X_50),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(top,X_50)))]]) ).
cnf(refute_0_1156,plain,
( X_50 != join(zero,meet(top,X_50))
| join(zero,meet(top,X_50)) != meet(top,X_50)
| X_50 = meet(top,X_50) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_50,meet(top,X_50)) ),[0],$fot(join(zero,meet(top,X_50)))]]) ).
cnf(refute_0_1157,plain,
( X_50 != join(zero,meet(top,X_50))
| X_50 = meet(top,X_50) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_50)),meet(top,X_50)) )],[refute_0_1155,refute_0_1156]) ).
cnf(refute_0_1158,plain,
X_50 = meet(top,X_50),
inference(resolve,[$cnf( $equal(X_50,join(zero,meet(top,X_50))) )],[refute_0_996,refute_0_1157]) ).
cnf(refute_0_1159,plain,
X_464 = meet(top,X_464),
inference(subst,[],[refute_0_1158:[bind(X_50,$fot(X_464))]]) ).
cnf(refute_0_1160,plain,
( X_464 != meet(top,X_464)
| meet(top,X_464) = X_464 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_464)),bind(Y,$fot(meet(top,X_464)))]]) ).
cnf(refute_0_1161,plain,
meet(top,X_464) = X_464,
inference(resolve,[$cnf( $equal(X_464,meet(top,X_464)) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( meet(complement(meet(top,X_464)),X_462) != complement(join(meet(top,X_464),complement(X_462)))
| meet(top,X_464) != X_464
| meet(complement(meet(top,X_464)),X_462) = complement(join(X_464,complement(X_462))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),complement(join(meet(top,X_464),complement(X_462)))) ),[1,0,0],$fot(X_464)]]) ).
cnf(refute_0_1163,plain,
( meet(complement(meet(top,X_464)),X_462) != complement(join(meet(top,X_464),complement(X_462)))
| meet(complement(meet(top,X_464)),X_462) = complement(join(X_464,complement(X_462))) ),
inference(resolve,[$cnf( $equal(meet(top,X_464),X_464) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
meet(complement(meet(top,X_464)),X_462) = complement(join(X_464,complement(X_462))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),complement(join(meet(top,X_464),complement(X_462)))) )],[refute_0_1088,refute_0_1163]) ).
cnf(refute_0_1165,plain,
complement(meet(top,X_464)) = complement(meet(top,X_464)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_464)))]]) ).
cnf(refute_0_1166,plain,
( complement(meet(top,X_464)) != complement(meet(top,X_464))
| meet(top,X_464) != X_464
| complement(meet(top,X_464)) = complement(X_464) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_464)),complement(meet(top,X_464))) ),[1,0],$fot(X_464)]]) ).
cnf(refute_0_1167,plain,
( meet(top,X_464) != X_464
| complement(meet(top,X_464)) = complement(X_464) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_464)),complement(meet(top,X_464))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
complement(meet(top,X_464)) = complement(X_464),
inference(resolve,[$cnf( $equal(meet(top,X_464),X_464) )],[refute_0_1161,refute_0_1167]) ).
cnf(refute_0_1169,plain,
meet(complement(meet(top,X_464)),X_462) = meet(complement(meet(top,X_464)),X_462),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_464)),X_462))]]) ).
cnf(refute_0_1170,plain,
( complement(meet(top,X_464)) != complement(X_464)
| meet(complement(meet(top,X_464)),X_462) != meet(complement(meet(top,X_464)),X_462)
| meet(complement(meet(top,X_464)),X_462) = meet(complement(X_464),X_462) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),meet(complement(meet(top,X_464)),X_462)) ),[1,0],$fot(complement(X_464))]]) ).
cnf(refute_0_1171,plain,
( complement(meet(top,X_464)) != complement(X_464)
| meet(complement(meet(top,X_464)),X_462) = meet(complement(X_464),X_462) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),meet(complement(meet(top,X_464)),X_462)) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
meet(complement(meet(top,X_464)),X_462) = meet(complement(X_464),X_462),
inference(resolve,[$cnf( $equal(complement(meet(top,X_464)),complement(X_464)) )],[refute_0_1168,refute_0_1171]) ).
cnf(refute_0_1173,plain,
( meet(complement(meet(top,X_464)),X_462) != complement(join(X_464,complement(X_462)))
| meet(complement(meet(top,X_464)),X_462) != meet(complement(X_464),X_462)
| meet(complement(X_464),X_462) = complement(join(X_464,complement(X_462))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),complement(join(X_464,complement(X_462)))) ),[0],$fot(meet(complement(X_464),X_462))]]) ).
cnf(refute_0_1174,plain,
( meet(complement(meet(top,X_464)),X_462) != complement(join(X_464,complement(X_462)))
| meet(complement(X_464),X_462) = complement(join(X_464,complement(X_462))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),meet(complement(X_464),X_462)) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
meet(complement(X_464),X_462) = complement(join(X_464,complement(X_462))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_464)),X_462),complement(join(X_464,complement(X_462)))) )],[refute_0_1164,refute_0_1174]) ).
cnf(refute_0_1176,plain,
meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_464,$fot(one))]]) ).
cnf(refute_0_1177,plain,
converse(join(X0,join(X_9,converse(X_8)))) = join(converse(X0),converse(join(X_9,converse(X_8)))),
inference(subst,[],[refute_0_533:[bind(X1,$fot(join(X_9,converse(X_8))))]]) ).
cnf(refute_0_1178,plain,
converse(join(X_9,converse(X_8))) = join(converse(X_9),X_8),
inference(subst,[],[refute_0_550:[bind(X0,$fot(X_8)),bind(X_4,$fot(X_9))]]) ).
cnf(refute_0_1179,plain,
( converse(join(X0,join(X_9,converse(X_8)))) != join(converse(X0),converse(join(X_9,converse(X_8))))
| converse(join(X_9,converse(X_8))) != join(converse(X_9),X_8)
| converse(join(X0,join(X_9,converse(X_8)))) = join(converse(X0),join(converse(X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_9,converse(X_8)))),join(converse(X0),converse(join(X_9,converse(X_8))))) ),[1,1],$fot(join(converse(X_9),X_8))]]) ).
cnf(refute_0_1180,plain,
( converse(join(X0,join(X_9,converse(X_8)))) != join(converse(X0),converse(join(X_9,converse(X_8))))
| converse(join(X0,join(X_9,converse(X_8)))) = join(converse(X0),join(converse(X_9),X_8)) ),
inference(resolve,[$cnf( $equal(converse(join(X_9,converse(X_8))),join(converse(X_9),X_8)) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
converse(join(X0,join(X_9,converse(X_8)))) = join(converse(X0),join(converse(X_9),X_8)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_9,converse(X_8)))),join(converse(X0),converse(join(X_9,converse(X_8))))) )],[refute_0_1177,refute_0_1180]) ).
cnf(refute_0_1182,plain,
converse(join(join(X_56,X_57),converse(X0))) = join(converse(join(X_56,X_57)),X0),
inference(subst,[],[refute_0_550:[bind(X_4,$fot(join(X_56,X_57)))]]) ).
cnf(refute_0_1183,plain,
join(X_56,join(X_57,converse(X0))) = join(join(X_56,X_57),converse(X0)),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X_56)),bind(X1,$fot(X_57)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_1184,plain,
( join(X_56,join(X_57,converse(X0))) != join(join(X_56,X_57),converse(X0))
| join(join(X_56,X_57),converse(X0)) = join(X_56,join(X_57,converse(X0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_56,join(X_57,converse(X0))))),bind(Y,$fot(join(join(X_56,X_57),converse(X0))))]]) ).
cnf(refute_0_1185,plain,
join(join(X_56,X_57),converse(X0)) = join(X_56,join(X_57,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_56,join(X_57,converse(X0))),join(join(X_56,X_57),converse(X0))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
( converse(join(join(X_56,X_57),converse(X0))) != join(converse(join(X_56,X_57)),X0)
| join(join(X_56,X_57),converse(X0)) != join(X_56,join(X_57,converse(X0)))
| converse(join(X_56,join(X_57,converse(X0)))) = join(converse(join(X_56,X_57)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_56,X_57),converse(X0))),join(converse(join(X_56,X_57)),X0)) ),[0,0],$fot(join(X_56,join(X_57,converse(X0))))]]) ).
cnf(refute_0_1187,plain,
( converse(join(join(X_56,X_57),converse(X0))) != join(converse(join(X_56,X_57)),X0)
| converse(join(X_56,join(X_57,converse(X0)))) = join(converse(join(X_56,X_57)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_57),converse(X0)),join(X_56,join(X_57,converse(X0)))) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
converse(join(X_56,join(X_57,converse(X0)))) = join(converse(join(X_56,X_57)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_56,X_57),converse(X0))),join(converse(join(X_56,X_57)),X0)) )],[refute_0_1182,refute_0_1187]) ).
cnf(refute_0_1189,plain,
converse(join(X0,join(X_9,converse(X_8)))) = join(converse(join(X0,X_9)),X_8),
inference(subst,[],[refute_0_1188:[bind(X0,$fot(X_8)),bind(X_56,$fot(X0)),bind(X_57,$fot(X_9))]]) ).
cnf(refute_0_1190,plain,
( converse(join(X0,join(X_9,converse(X_8)))) != join(converse(X0),join(converse(X_9),X_8))
| converse(join(X0,join(X_9,converse(X_8)))) != join(converse(join(X0,X_9)),X_8)
| join(converse(join(X0,X_9)),X_8) = join(converse(X0),join(converse(X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_9,converse(X_8)))),join(converse(X0),join(converse(X_9),X_8))) ),[0],$fot(join(converse(join(X0,X_9)),X_8))]]) ).
cnf(refute_0_1191,plain,
( converse(join(X0,join(X_9,converse(X_8)))) != join(converse(X0),join(converse(X_9),X_8))
| join(converse(join(X0,X_9)),X_8) = join(converse(X0),join(converse(X_9),X_8)) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_9,converse(X_8)))),join(converse(join(X0,X_9)),X_8)) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
join(converse(join(X0,X_9)),X_8) = join(converse(X0),join(converse(X_9),X_8)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_9,converse(X_8)))),join(converse(X0),join(converse(X_9),X_8))) )],[refute_0_1181,refute_0_1191]) ).
cnf(refute_0_1193,plain,
join(converse(join(X_149,X_151)),complement(converse(X_151))) = join(converse(X_149),join(converse(X_151),complement(converse(X_151)))),
inference(subst,[],[refute_0_1192:[bind(X0,$fot(X_149)),bind(X_8,$fot(complement(converse(X_151)))),bind(X_9,$fot(X_151))]]) ).
cnf(refute_0_1194,plain,
top = join(converse(X_151),complement(converse(X_151))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(converse(X_151)))]]) ).
cnf(refute_0_1195,plain,
( top != join(converse(X_151),complement(converse(X_151)))
| join(converse(X_151),complement(converse(X_151))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_151),complement(converse(X_151)))))]]) ).
cnf(refute_0_1196,plain,
join(converse(X_151),complement(converse(X_151))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_151),complement(converse(X_151)))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
( join(converse(X_151),complement(converse(X_151))) != top
| join(converse(join(X_149,X_151)),complement(converse(X_151))) != join(converse(X_149),join(converse(X_151),complement(converse(X_151))))
| join(converse(join(X_149,X_151)),complement(converse(X_151))) = join(converse(X_149),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_149,X_151)),complement(converse(X_151))),join(converse(X_149),join(converse(X_151),complement(converse(X_151))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1198,plain,
( join(converse(join(X_149,X_151)),complement(converse(X_151))) != join(converse(X_149),join(converse(X_151),complement(converse(X_151))))
| join(converse(join(X_149,X_151)),complement(converse(X_151))) = join(converse(X_149),top) ),
inference(resolve,[$cnf( $equal(join(converse(X_151),complement(converse(X_151))),top) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
join(converse(join(X_149,X_151)),complement(converse(X_151))) = join(converse(X_149),top),
inference(resolve,[$cnf( $equal(join(converse(join(X_149,X_151)),complement(converse(X_151))),join(converse(X_149),join(converse(X_151),complement(converse(X_151))))) )],[refute_0_1193,refute_0_1198]) ).
cnf(refute_0_1200,plain,
join(converse(join(X_149,X_151)),complement(converse(X_151))) = join(complement(converse(X_151)),converse(join(X_149,X_151))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(join(X_149,X_151)))),bind(X1,$fot(complement(converse(X_151))))]]) ).
cnf(refute_0_1201,plain,
( join(converse(join(X_149,X_151)),complement(converse(X_151))) != join(complement(converse(X_151)),converse(join(X_149,X_151)))
| join(converse(join(X_149,X_151)),complement(converse(X_151))) != join(converse(X_149),top)
| join(complement(converse(X_151)),converse(join(X_149,X_151))) = join(converse(X_149),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_149,X_151)),complement(converse(X_151))),join(converse(X_149),top)) ),[0],$fot(join(complement(converse(X_151)),converse(join(X_149,X_151))))]]) ).
cnf(refute_0_1202,plain,
( join(converse(join(X_149,X_151)),complement(converse(X_151))) != join(converse(X_149),top)
| join(complement(converse(X_151)),converse(join(X_149,X_151))) = join(converse(X_149),top) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_149,X_151)),complement(converse(X_151))),join(complement(converse(X_151)),converse(join(X_149,X_151)))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
join(top,join(converse(zero),X_58)) = join(join(top,converse(zero)),X_58),
inference(subst,[],[refute_0_209:[bind(X0,$fot(top)),bind(X1,$fot(converse(zero))),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_1204,plain,
converse(join(converse(top),zero)) = converse(join(zero,converse(top))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(converse(top))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_1205,plain,
join(join(zero,converse(complement(converse(top)))),top) = join(top,join(zero,converse(complement(converse(top))))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(zero,converse(complement(converse(top)))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_1206,plain,
converse(top) = join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(join(converse(X_27),converse(complement(converse(converse(X_27))))))))),
inference(subst,[],[refute_0_567:[bind(X0,$fot(converse(complement(converse(converse(X_27)))))),bind(X_4,$fot(X_27))]]) ).
cnf(refute_0_1207,plain,
converse(top) = join(converse(X_27),converse(complement(converse(converse(X_27))))),
inference(subst,[],[refute_0_545:[bind(X_10,$fot(converse(X_27)))]]) ).
cnf(refute_0_1208,plain,
( converse(top) != join(converse(X_27),converse(complement(converse(converse(X_27)))))
| join(converse(X_27),converse(complement(converse(converse(X_27))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X_27),converse(complement(converse(converse(X_27)))))))]]) ).
cnf(refute_0_1209,plain,
join(converse(X_27),converse(complement(converse(converse(X_27))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(X_27),converse(complement(converse(converse(X_27)))))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( converse(top) != join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(join(converse(X_27),converse(complement(converse(converse(X_27)))))))))
| join(converse(X_27),converse(complement(converse(converse(X_27))))) != converse(top)
| converse(top) = join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(join(converse(X_27),converse(complement(converse(converse(X_27)))))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1211,plain,
( converse(top) != join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(join(converse(X_27),converse(complement(converse(converse(X_27)))))))))
| converse(top) = join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_27),converse(complement(converse(converse(X_27))))),converse(top)) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
converse(top) = join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(join(converse(X_27),converse(complement(converse(converse(X_27)))))))))) )],[refute_0_1206,refute_0_1211]) ).
cnf(refute_0_1213,plain,
converse(converse(X_27)) = X_27,
inference(subst,[],[refute_0_54:[bind(X0,$fot(X_27))]]) ).
cnf(refute_0_1214,plain,
complement(converse(converse(X_27))) = complement(converse(converse(X_27))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_27))))]]) ).
cnf(refute_0_1215,plain,
( complement(converse(converse(X_27))) != complement(converse(converse(X_27)))
| converse(converse(X_27)) != X_27
| complement(converse(converse(X_27))) = complement(X_27) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_27))),complement(converse(converse(X_27)))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_1216,plain,
( converse(converse(X_27)) != X_27
| complement(converse(converse(X_27))) = complement(X_27) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_27))),complement(converse(converse(X_27)))) )],[refute_0_1214,refute_0_1215]) ).
cnf(refute_0_1217,plain,
complement(converse(converse(X_27))) = complement(X_27),
inference(resolve,[$cnf( $equal(converse(converse(X_27)),X_27) )],[refute_0_1213,refute_0_1216]) ).
cnf(refute_0_1218,plain,
join(converse(complement(converse(top))),complement(converse(converse(X_27)))) = join(converse(complement(converse(top))),complement(converse(converse(X_27)))),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(top))),complement(converse(converse(X_27)))))]]) ).
cnf(refute_0_1219,plain,
( complement(converse(converse(X_27))) != complement(X_27)
| join(converse(complement(converse(top))),complement(converse(converse(X_27)))) != join(converse(complement(converse(top))),complement(converse(converse(X_27))))
| join(converse(complement(converse(top))),complement(converse(converse(X_27)))) = join(converse(complement(converse(top))),complement(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_27)))),join(converse(complement(converse(top))),complement(converse(converse(X_27))))) ),[1,1],$fot(complement(X_27))]]) ).
cnf(refute_0_1220,plain,
( complement(converse(converse(X_27))) != complement(X_27)
| join(converse(complement(converse(top))),complement(converse(converse(X_27)))) = join(converse(complement(converse(top))),complement(X_27)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_27)))),join(converse(complement(converse(top))),complement(converse(converse(X_27))))) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
join(converse(complement(converse(top))),complement(converse(converse(X_27)))) = join(converse(complement(converse(top))),complement(X_27)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_27))),complement(X_27)) )],[refute_0_1217,refute_0_1220]) ).
cnf(refute_0_1222,plain,
converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) = join(converse(complement(converse(top))),complement(converse(converse(X_27)))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(complement(converse(converse(X_27))))),bind(X_4,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1223,plain,
( converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) != join(converse(complement(converse(top))),complement(converse(converse(X_27))))
| join(converse(complement(converse(top))),complement(converse(converse(X_27)))) != join(converse(complement(converse(top))),complement(X_27))
| converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) = join(converse(complement(converse(top))),complement(X_27)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))))),bind(Y,$fot(join(converse(complement(converse(top))),complement(converse(converse(X_27)))))),bind(Z,$fot(join(converse(complement(converse(top))),complement(X_27))))]]) ).
cnf(refute_0_1224,plain,
( join(converse(complement(converse(top))),complement(converse(converse(X_27)))) != join(converse(complement(converse(top))),complement(X_27))
| converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) = join(converse(complement(converse(top))),complement(X_27)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))),join(converse(complement(converse(top))),complement(converse(converse(X_27))))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) = join(converse(complement(converse(top))),complement(X_27)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_27)))),join(converse(complement(converse(top))),complement(X_27))) )],[refute_0_1221,refute_0_1224]) ).
cnf(refute_0_1226,plain,
join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) = join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))),
introduced(tautology,[refl,[$fot(join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))))]]) ).
cnf(refute_0_1227,plain,
( converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) != join(converse(complement(converse(top))),complement(X_27))
| join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) != join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))))
| join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) = join(X_27,join(converse(complement(converse(top))),complement(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))),join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))))) ),[1,1],$fot(join(converse(complement(converse(top))),complement(X_27)))]]) ).
cnf(refute_0_1228,plain,
( converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))) != join(converse(complement(converse(top))),complement(X_27))
| join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) = join(X_27,join(converse(complement(converse(top))),complement(X_27))) ),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))),join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) = join(X_27,join(converse(complement(converse(top))),complement(X_27))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))),join(converse(complement(converse(top))),complement(X_27))) )],[refute_0_1225,refute_0_1228]) ).
cnf(refute_0_1230,plain,
join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) = join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))),
inference(subst,[],[refute_0_592:[bind(X0,$fot(X_27)),bind(X_15,$fot(complement(converse(top)))),bind(X_16,$fot(converse(complement(converse(converse(X_27))))))]]) ).
cnf(refute_0_1231,plain,
( join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) != join(X_27,join(converse(complement(converse(top))),complement(X_27)))
| join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) != join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))))
| join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) = join(X_27,join(converse(complement(converse(top))),complement(X_27))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))))),bind(Y,$fot(join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))))),bind(Z,$fot(join(X_27,join(converse(complement(converse(top))),complement(X_27)))))]]) ).
cnf(refute_0_1232,plain,
( join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))) != join(X_27,join(converse(complement(converse(top))),complement(X_27)))
| join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) = join(X_27,join(converse(complement(converse(top))),complement(X_27))) ),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))),join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27)))))))) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) = join(X_27,join(converse(complement(converse(top))),complement(X_27))),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(complement(converse(top)),converse(complement(converse(converse(X_27))))))),join(X_27,join(converse(complement(converse(top))),complement(X_27)))) )],[refute_0_1229,refute_0_1232]) ).
cnf(refute_0_1234,plain,
( converse(top) != join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top)))))
| join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))) != join(X_27,join(converse(complement(converse(top))),complement(X_27)))
| converse(top) = join(X_27,join(converse(complement(converse(top))),complement(X_27))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_27,join(converse(complement(converse(top))),complement(X_27)))) ),[0],$fot(join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))))]]) ).
cnf(refute_0_1235,plain,
( converse(top) != join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top)))))
| converse(top) = join(X_27,join(converse(complement(converse(top))),complement(X_27))) ),
inference(resolve,[$cnf( $equal(join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top))))),join(X_27,join(converse(complement(converse(top))),complement(X_27)))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
converse(top) = join(X_27,join(converse(complement(converse(top))),complement(X_27))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(converse(complement(converse(converse(X_27)))),complement(converse(top)))))) )],[refute_0_1212,refute_0_1235]) ).
cnf(refute_0_1237,plain,
converse(top) = join(top,join(converse(complement(converse(top))),complement(top))),
inference(subst,[],[refute_0_1236:[bind(X_27,$fot(top))]]) ).
cnf(refute_0_1238,plain,
( complement(top) != zero
| converse(top) != join(top,join(converse(complement(converse(top))),complement(top)))
| converse(top) = join(top,join(converse(complement(converse(top))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_1239,plain,
( converse(top) != join(top,join(converse(complement(converse(top))),complement(top)))
| converse(top) = join(top,join(converse(complement(converse(top))),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_1238]) ).
cnf(refute_0_1240,plain,
converse(top) = join(top,join(converse(complement(converse(top))),zero)),
inference(resolve,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),complement(top)))) )],[refute_0_1237,refute_0_1239]) ).
cnf(refute_0_1241,plain,
join(converse(complement(converse(top))),zero) = join(zero,converse(complement(converse(top)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_1242,plain,
join(top,join(converse(complement(converse(top))),zero)) = join(top,join(converse(complement(converse(top))),zero)),
introduced(tautology,[refl,[$fot(join(top,join(converse(complement(converse(top))),zero)))]]) ).
cnf(refute_0_1243,plain,
( join(converse(complement(converse(top))),zero) != join(zero,converse(complement(converse(top))))
| join(top,join(converse(complement(converse(top))),zero)) != join(top,join(converse(complement(converse(top))),zero))
| join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(converse(complement(converse(top))),zero))) ),[1,1],$fot(join(zero,converse(complement(converse(top)))))]]) ).
cnf(refute_0_1244,plain,
( join(converse(complement(converse(top))),zero) != join(zero,converse(complement(converse(top))))
| join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(converse(complement(converse(top))),zero))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),zero),join(zero,converse(complement(converse(top))))) )],[refute_0_1241,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( converse(top) != join(top,join(converse(complement(converse(top))),zero))
| join(top,join(converse(complement(converse(top))),zero)) != join(top,join(zero,converse(complement(converse(top)))))
| converse(top) = join(top,join(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,join(zero,converse(complement(converse(top)))))) ),[0],$fot(join(top,join(converse(complement(converse(top))),zero)))]]) ).
cnf(refute_0_1247,plain,
( converse(top) != join(top,join(converse(complement(converse(top))),zero))
| converse(top) = join(top,join(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
converse(top) = join(top,join(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),zero))) )],[refute_0_1240,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( converse(top) != join(top,join(zero,converse(complement(converse(top)))))
| join(top,join(zero,converse(complement(converse(top))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,join(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1250,plain,
join(top,join(zero,converse(complement(converse(top))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( join(join(zero,converse(complement(converse(top)))),top) != join(top,join(zero,converse(complement(converse(top)))))
| join(top,join(zero,converse(complement(converse(top))))) != converse(top)
| join(join(zero,converse(complement(converse(top)))),top) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) ),[0],$fot(join(top,join(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_1252,plain,
( join(join(zero,converse(complement(converse(top)))),top) != join(top,join(zero,converse(complement(converse(top)))))
| join(join(zero,converse(complement(converse(top)))),top) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(top))))),converse(top)) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
join(join(zero,converse(complement(converse(top)))),top) = converse(top),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_1205,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( converse(top) != join(X_10,converse(complement(converse(X_10))))
| join(X_10,converse(complement(converse(X_10)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_10,converse(complement(converse(X_10))))))]]) ).
cnf(refute_0_1255,plain,
join(X_10,converse(complement(converse(X_10)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_545,refute_0_1254]) ).
cnf(refute_0_1256,plain,
join(top,converse(complement(converse(top)))) = converse(top),
inference(subst,[],[refute_0_1255:[bind(X_10,$fot(top))]]) ).
cnf(refute_0_1257,plain,
join(converse(complement(converse(top))),top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_1258,plain,
( join(converse(complement(converse(top))),top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) != converse(top)
| join(converse(complement(converse(top))),top) = converse(top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(converse(top))),top))),bind(Y,$fot(join(top,converse(complement(converse(top)))))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_1259,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| join(converse(complement(converse(top))),top) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),top),join(top,converse(complement(converse(top))))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
join(converse(complement(converse(top))),top) = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_1256,refute_0_1259]) ).
cnf(refute_0_1261,plain,
join(zero,join(converse(complement(converse(top))),top)) = join(zero,join(converse(complement(converse(top))),top)),
introduced(tautology,[refl,[$fot(join(zero,join(converse(complement(converse(top))),top)))]]) ).
cnf(refute_0_1262,plain,
( join(converse(complement(converse(top))),top) != converse(top)
| join(zero,join(converse(complement(converse(top))),top)) != join(zero,join(converse(complement(converse(top))),top))
| join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,join(converse(complement(converse(top))),top))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_1263,plain,
( join(converse(complement(converse(top))),top) != converse(top)
| join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,join(converse(complement(converse(top))),top))) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),top),converse(top)) )],[refute_0_1260,refute_0_1263]) ).
cnf(refute_0_1265,plain,
join(join(zero,converse(complement(converse(top)))),top) = join(zero,join(converse(complement(converse(top))),top)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(zero)),bind(X1,$fot(converse(complement(converse(top))))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1266,plain,
( join(join(zero,converse(complement(converse(top)))),top) != join(zero,join(converse(complement(converse(top))),top))
| join(zero,join(converse(complement(converse(top))),top)) != join(zero,converse(top))
| join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(zero,converse(complement(converse(top)))),top))),bind(Y,$fot(join(zero,join(converse(complement(converse(top))),top)))),bind(Z,$fot(join(zero,converse(top))))]]) ).
cnf(refute_0_1267,plain,
( join(zero,join(converse(complement(converse(top))),top)) != join(zero,converse(top))
| join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(zero,join(converse(complement(converse(top))),top))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,converse(top))) )],[refute_0_1264,refute_0_1267]) ).
cnf(refute_0_1269,plain,
( join(join(zero,converse(complement(converse(top)))),top) != converse(top)
| join(join(zero,converse(complement(converse(top)))),top) != join(zero,converse(top))
| join(zero,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).
cnf(refute_0_1270,plain,
( join(join(zero,converse(complement(converse(top)))),top) != converse(top)
| join(zero,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(zero,converse(top))) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
join(zero,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) )],[refute_0_1253,refute_0_1270]) ).
cnf(refute_0_1272,plain,
( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
| join(zero,converse(top)) != converse(top)
| converse(join(converse(top),zero)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1273,plain,
( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
| converse(join(converse(top),zero)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
converse(join(converse(top),zero)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) )],[refute_0_1204,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(converse(zero),top) = join(top,converse(zero)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(converse(zero)))]]) ).
cnf(refute_0_1276,plain,
converse(join(zero,converse(top))) = join(converse(zero),top),
inference(subst,[],[refute_0_550:[bind(X0,$fot(top)),bind(X_4,$fot(zero))]]) ).
cnf(refute_0_1277,plain,
( converse(join(zero,converse(top))) != join(converse(zero),top)
| join(converse(zero),top) != join(top,converse(zero))
| converse(join(zero,converse(top))) = join(top,converse(zero)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(zero,converse(top))))),bind(Y,$fot(join(converse(zero),top))),bind(Z,$fot(join(top,converse(zero))))]]) ).
cnf(refute_0_1278,plain,
( join(converse(zero),top) != join(top,converse(zero))
| converse(join(zero,converse(top))) = join(top,converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(top))),join(converse(zero),top)) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
converse(join(zero,converse(top))) = join(top,converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),top),join(top,converse(zero))) )],[refute_0_1275,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
| converse(join(zero,converse(top))) != join(top,converse(zero))
| converse(join(converse(top),zero)) = join(top,converse(zero)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(top),zero)))),bind(Y,$fot(converse(join(zero,converse(top))))),bind(Z,$fot(join(top,converse(zero))))]]) ).
cnf(refute_0_1281,plain,
( converse(join(zero,converse(top))) != join(top,converse(zero))
| converse(join(converse(top),zero)) = join(top,converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) )],[refute_0_1204,refute_0_1280]) ).
cnf(refute_0_1282,plain,
converse(join(converse(top),zero)) = join(top,converse(zero)),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(top))),join(top,converse(zero))) )],[refute_0_1279,refute_0_1281]) ).
cnf(refute_0_1283,plain,
( converse(join(converse(top),zero)) != converse(converse(top))
| converse(join(converse(top),zero)) != join(top,converse(zero))
| join(top,converse(zero)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),zero)),converse(converse(top))) ),[0],$fot(join(top,converse(zero)))]]) ).
cnf(refute_0_1284,plain,
( converse(join(converse(top),zero)) != converse(converse(top))
| join(top,converse(zero)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),join(top,converse(zero))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
( converse(converse(top)) != top
| join(top,converse(zero)) != converse(converse(top))
| join(top,converse(zero)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(zero)),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_1286,plain,
( join(top,converse(zero)) != converse(converse(top))
| join(top,converse(zero)) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_618,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( converse(join(converse(top),zero)) != converse(converse(top))
| join(top,converse(zero)) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(zero)),converse(converse(top))) )],[refute_0_1284,refute_0_1286]) ).
cnf(refute_0_1288,plain,
join(top,converse(zero)) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(converse(top))) )],[refute_0_1274,refute_0_1287]) ).
cnf(refute_0_1289,plain,
( join(top,converse(zero)) != top
| join(top,join(converse(zero),X_58)) != join(join(top,converse(zero)),X_58)
| join(top,join(converse(zero),X_58)) = join(top,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(zero),X_58)),join(join(top,converse(zero)),X_58)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1290,plain,
( join(top,join(converse(zero),X_58)) != join(join(top,converse(zero)),X_58)
| join(top,join(converse(zero),X_58)) = join(top,X_58) ),
inference(resolve,[$cnf( $equal(join(top,converse(zero)),top) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
join(top,join(converse(zero),X_58)) = join(top,X_58),
inference(resolve,[$cnf( $equal(join(top,join(converse(zero),X_58)),join(join(top,converse(zero)),X_58)) )],[refute_0_1203,refute_0_1290]) ).
cnf(refute_0_1292,plain,
join(zero,join(converse(top),X_58)) = join(join(zero,converse(top)),X_58),
inference(subst,[],[refute_0_209:[bind(X0,$fot(zero)),bind(X1,$fot(converse(top))),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_1293,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(converse(top),X_58)) != join(join(zero,converse(top)),X_58)
| join(zero,join(converse(top),X_58)) = join(converse(top),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(top),X_58)),join(join(zero,converse(top)),X_58)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1294,plain,
( join(zero,join(converse(top),X_58)) != join(join(zero,converse(top)),X_58)
| join(zero,join(converse(top),X_58)) = join(converse(top),X_58) ),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_1271,refute_0_1293]) ).
cnf(refute_0_1295,plain,
join(zero,join(converse(top),X_58)) = join(converse(top),X_58),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),X_58)),join(join(zero,converse(top)),X_58)) )],[refute_0_1292,refute_0_1294]) ).
cnf(refute_0_1296,plain,
join(zero,join(converse(top),X_84)) = join(converse(top),X_84),
inference(subst,[],[refute_0_1295:[bind(X_58,$fot(X_84))]]) ).
cnf(refute_0_1297,plain,
join(X_84,converse(top)) = join(converse(top),X_84),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_84)),bind(X1,$fot(converse(top)))]]) ).
cnf(refute_0_1298,plain,
( join(X_84,converse(top)) != join(converse(top),X_84)
| join(converse(top),X_84) = join(X_84,converse(top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_84,converse(top)))),bind(Y,$fot(join(converse(top),X_84)))]]) ).
cnf(refute_0_1299,plain,
join(converse(top),X_84) = join(X_84,converse(top)),
inference(resolve,[$cnf( $equal(join(X_84,converse(top)),join(converse(top),X_84)) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
( join(converse(top),X_84) != join(X_84,converse(top))
| join(zero,join(converse(top),X_84)) != join(converse(top),X_84)
| join(zero,join(X_84,converse(top))) = join(converse(top),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(top),X_84)),join(converse(top),X_84)) ),[0,1],$fot(join(X_84,converse(top)))]]) ).
cnf(refute_0_1301,plain,
( join(zero,join(converse(top),X_84)) != join(converse(top),X_84)
| join(zero,join(X_84,converse(top))) = join(converse(top),X_84) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_84),join(X_84,converse(top))) )],[refute_0_1299,refute_0_1300]) ).
cnf(refute_0_1302,plain,
join(zero,join(X_84,converse(top))) = join(converse(top),X_84),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),X_84)),join(converse(top),X_84)) )],[refute_0_1296,refute_0_1301]) ).
cnf(refute_0_1303,plain,
join(zero,join(join(X0,X1),converse(top))) = join(converse(top),join(X0,X1)),
inference(subst,[],[refute_0_1302:[bind(X_84,$fot(join(X0,X1)))]]) ).
cnf(refute_0_1304,plain,
join(X0,join(X1,converse(top))) = join(join(X0,X1),converse(top)),
inference(subst,[],[refute_0_209:[bind(X2,$fot(converse(top)))]]) ).
cnf(refute_0_1305,plain,
( join(X0,join(X1,converse(top))) != join(join(X0,X1),converse(top))
| join(join(X0,X1),converse(top)) = join(X0,join(X1,converse(top))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,converse(top))))),bind(Y,$fot(join(join(X0,X1),converse(top))))]]) ).
cnf(refute_0_1306,plain,
join(join(X0,X1),converse(top)) = join(X0,join(X1,converse(top))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,converse(top))),join(join(X0,X1),converse(top))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( join(join(X0,X1),converse(top)) != join(X0,join(X1,converse(top)))
| join(zero,join(join(X0,X1),converse(top))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,converse(top)))) = join(converse(top),join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X0,X1),converse(top))),join(converse(top),join(X0,X1))) ),[0,1],$fot(join(X0,join(X1,converse(top))))]]) ).
cnf(refute_0_1308,plain,
( join(zero,join(join(X0,X1),converse(top))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,converse(top)))) = join(converse(top),join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),converse(top)),join(X0,join(X1,converse(top)))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
join(zero,join(X0,join(X1,converse(top)))) = join(converse(top),join(X0,X1)),
inference(resolve,[$cnf( $equal(join(zero,join(join(X0,X1),converse(top))),join(converse(top),join(X0,X1))) )],[refute_0_1303,refute_0_1308]) ).
cnf(refute_0_1310,plain,
join(converse(top),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))) = join(top,meet(converse(complement(one)),meet(top,complement(one)))),
inference(subst,[],[refute_0_836:[bind(X_56,$fot(converse(top))),bind(X_58,$fot(meet(converse(complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_1311,plain,
X_37 = join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(join(complement(X_37),converse(complement(converse(complement(X_37))))))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(converse(complement(converse(complement(X_37))))))]]) ).
cnf(refute_0_1312,plain,
converse(top) = join(complement(X_37),converse(complement(converse(complement(X_37))))),
inference(subst,[],[refute_0_545:[bind(X_10,$fot(complement(X_37)))]]) ).
cnf(refute_0_1313,plain,
( converse(top) != join(complement(X_37),converse(complement(converse(complement(X_37)))))
| join(complement(X_37),converse(complement(converse(complement(X_37))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_37),converse(complement(converse(complement(X_37)))))))]]) ).
cnf(refute_0_1314,plain,
join(complement(X_37),converse(complement(converse(complement(X_37))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_37),converse(complement(converse(complement(X_37)))))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
( X_37 != join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(join(complement(X_37),converse(complement(converse(complement(X_37)))))))
| join(complement(X_37),converse(complement(converse(complement(X_37))))) != converse(top)
| X_37 = join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(join(complement(X_37),converse(complement(converse(complement(X_37)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1316,plain,
( X_37 != join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(join(complement(X_37),converse(complement(converse(complement(X_37)))))))
| X_37 = join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),converse(complement(converse(complement(X_37))))),converse(top)) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
X_37 = join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(join(complement(X_37),converse(complement(converse(complement(X_37)))))))) )],[refute_0_1311,refute_0_1316]) ).
cnf(refute_0_1318,plain,
join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))) = join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_37,converse(complement(converse(complement(X_37)))))))]]) ).
cnf(refute_0_1319,plain,
( X_37 != join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top)))
| join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))) != join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37))))))
| X_37 = join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37))))))) ),[0],$fot(join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))))]]) ).
cnf(refute_0_1320,plain,
( X_37 != join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top)))
| X_37 = join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top))),join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37))))))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
X_37 = join(complement(converse(top)),meet(X_37,converse(complement(converse(complement(X_37)))))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,converse(complement(converse(complement(X_37))))),complement(converse(top)))) )],[refute_0_1317,refute_0_1320]) ).
cnf(refute_0_1322,plain,
meet(top,complement(one)) = join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(complement(meet(top,complement(one)))))))),
inference(subst,[],[refute_0_1321:[bind(X_37,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_1323,plain,
( complement(meet(top,complement(one))) != one
| meet(top,complement(one)) != join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(complement(meet(top,complement(one))))))))
| meet(top,complement(one)) = join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(complement(meet(top,complement(one))))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_1324,plain,
( meet(top,complement(one)) != join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(complement(meet(top,complement(one))))))))
| meet(top,complement(one)) = join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_1323]) ).
cnf(refute_0_1325,plain,
meet(top,complement(one)) = join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(complement(meet(top,complement(one))))))))) )],[refute_0_1322,refute_0_1324]) ).
cnf(refute_0_1326,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_1327,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1328,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_1326,refute_0_1327]) ).
cnf(refute_0_1329,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_1328]) ).
cnf(refute_0_1330,plain,
converse(complement(converse(one))) = converse(complement(converse(one))),
introduced(tautology,[refl,[$fot(converse(complement(converse(one))))]]) ).
cnf(refute_0_1331,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) != converse(complement(converse(one)))
| converse(complement(converse(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1332,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
converse(complement(converse(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
meet(converse(complement(converse(one))),meet(top,complement(one))) = meet(converse(complement(converse(one))),meet(top,complement(one))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(one))),meet(top,complement(one))))]]) ).
cnf(refute_0_1335,plain,
( converse(complement(converse(one))) != converse(complement(one))
| meet(converse(complement(converse(one))),meet(top,complement(one))) != meet(converse(complement(converse(one))),meet(top,complement(one)))
| meet(converse(complement(converse(one))),meet(top,complement(one))) = meet(converse(complement(one)),meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(one))),meet(top,complement(one))),meet(converse(complement(converse(one))),meet(top,complement(one)))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1336,plain,
( converse(complement(converse(one))) != converse(complement(one))
| meet(converse(complement(converse(one))),meet(top,complement(one))) = meet(converse(complement(one)),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(top,complement(one))),meet(converse(complement(converse(one))),meet(top,complement(one)))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
meet(converse(complement(converse(one))),meet(top,complement(one))) = meet(converse(complement(one)),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(one))) )],[refute_0_1333,refute_0_1336]) ).
cnf(refute_0_1338,plain,
meet(meet(top,complement(one)),converse(complement(converse(one)))) = meet(converse(complement(converse(one))),meet(top,complement(one))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(converse(complement(converse(one))))),bind(X_30,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_1339,plain,
( meet(converse(complement(converse(one))),meet(top,complement(one))) != meet(converse(complement(one)),meet(top,complement(one)))
| meet(meet(top,complement(one)),converse(complement(converse(one)))) != meet(converse(complement(converse(one))),meet(top,complement(one)))
| meet(meet(top,complement(one)),converse(complement(converse(one)))) = meet(converse(complement(one)),meet(top,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(meet(top,complement(one)),converse(complement(converse(one)))))),bind(Y,$fot(meet(converse(complement(converse(one))),meet(top,complement(one))))),bind(Z,$fot(meet(converse(complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_1340,plain,
( meet(converse(complement(converse(one))),meet(top,complement(one))) != meet(converse(complement(one)),meet(top,complement(one)))
| meet(meet(top,complement(one)),converse(complement(converse(one)))) = meet(converse(complement(one)),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(one)),converse(complement(converse(one)))),meet(converse(complement(converse(one))),meet(top,complement(one)))) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
meet(meet(top,complement(one)),converse(complement(converse(one)))) = meet(converse(complement(one)),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(top,complement(one))),meet(converse(complement(one)),meet(top,complement(one)))) )],[refute_0_1337,refute_0_1340]) ).
cnf(refute_0_1342,plain,
join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) = join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))))]]) ).
cnf(refute_0_1343,plain,
( join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) != join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))
| meet(meet(top,complement(one)),converse(complement(converse(one)))) != meet(converse(complement(one)),meet(top,complement(one)))
| join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) = join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))),join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))) ),[1,1],$fot(meet(converse(complement(one)),meet(top,complement(one))))]]) ).
cnf(refute_0_1344,plain,
( meet(meet(top,complement(one)),converse(complement(converse(one)))) != meet(converse(complement(one)),meet(top,complement(one)))
| join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) = join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))),join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))) )],[refute_0_1342,refute_0_1343]) ).
cnf(refute_0_1345,plain,
join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) = join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(one)),converse(complement(converse(one)))),meet(converse(complement(one)),meet(top,complement(one)))) )],[refute_0_1341,refute_0_1344]) ).
cnf(refute_0_1346,plain,
( join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))) != join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))
| meet(top,complement(one)) != join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))
| meet(top,complement(one)) = join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))) ),[1],$fot(join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_1347,plain,
( meet(top,complement(one)) != join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))
| meet(top,complement(one)) = join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one))))),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))) )],[refute_0_1345,refute_0_1346]) ).
cnf(refute_0_1348,plain,
meet(top,complement(one)) = join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(complement(converse(top)),meet(meet(top,complement(one)),converse(complement(converse(one)))))) )],[refute_0_1325,refute_0_1347]) ).
cnf(refute_0_1349,plain,
( meet(top,complement(one)) != join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))
| join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) = meet(top,complement(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,complement(one)))),bind(Y,$fot(join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))))]]) ).
cnf(refute_0_1350,plain,
join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) = meet(top,complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
( join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))) != meet(top,complement(one))
| join(converse(top),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| join(converse(top),meet(top,complement(one))) = join(top,meet(converse(complement(one)),meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))),join(top,meet(converse(complement(one)),meet(top,complement(one))))) ),[0,1],$fot(meet(top,complement(one)))]]) ).
cnf(refute_0_1352,plain,
( join(converse(top),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| join(converse(top),meet(top,complement(one))) = join(top,meet(converse(complement(one)),meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one)))),meet(top,complement(one))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(converse(top),meet(top,complement(one))) = join(top,meet(converse(complement(one)),meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),meet(converse(complement(one)),meet(top,complement(one))))),join(top,meet(converse(complement(one)),meet(top,complement(one))))) )],[refute_0_1310,refute_0_1352]) ).
cnf(refute_0_1354,plain,
converse(join(converse(meet(top,complement(one))),top)) = converse(join(top,converse(meet(top,complement(one))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(converse(meet(top,complement(one))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_1355,plain,
join(one,join(complement(one),converse(meet(top,complement(one))))) = join(top,converse(meet(top,complement(one)))),
inference(subst,[],[refute_0_836:[bind(X_56,$fot(one)),bind(X_58,$fot(converse(meet(top,complement(one)))))]]) ).
cnf(refute_0_1356,plain,
join(complement(one),composition(converse(meet(top,complement(one))),complement(meet(top,complement(one))))) = complement(one),
inference(subst,[],[refute_0_385:[bind(X_13,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_1357,plain,
( complement(meet(top,complement(one))) != one
| join(complement(one),composition(converse(meet(top,complement(one))),complement(meet(top,complement(one))))) != complement(one)
| join(complement(one),composition(converse(meet(top,complement(one))),one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),complement(meet(top,complement(one))))),complement(one)) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_1358,plain,
( join(complement(one),composition(converse(meet(top,complement(one))),complement(meet(top,complement(one))))) != complement(one)
| join(complement(one),composition(converse(meet(top,complement(one))),one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),one) )],[refute_0_483,refute_0_1357]) ).
cnf(refute_0_1359,plain,
join(complement(one),composition(converse(meet(top,complement(one))),one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),complement(meet(top,complement(one))))),complement(one)) )],[refute_0_1356,refute_0_1358]) ).
cnf(refute_0_1360,plain,
composition(converse(meet(top,complement(one))),one) = converse(meet(top,complement(one))),
inference(subst,[],[refute_0_225:[bind(X0,$fot(converse(meet(top,complement(one)))))]]) ).
cnf(refute_0_1361,plain,
join(complement(one),composition(converse(meet(top,complement(one))),one)) = join(complement(one),composition(converse(meet(top,complement(one))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(meet(top,complement(one))),one)))]]) ).
cnf(refute_0_1362,plain,
( composition(converse(meet(top,complement(one))),one) != converse(meet(top,complement(one)))
| join(complement(one),composition(converse(meet(top,complement(one))),one)) != join(complement(one),composition(converse(meet(top,complement(one))),one))
| join(complement(one),composition(converse(meet(top,complement(one))),one)) = join(complement(one),converse(meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),one)),join(complement(one),composition(converse(meet(top,complement(one))),one))) ),[1,1],$fot(converse(meet(top,complement(one))))]]) ).
cnf(refute_0_1363,plain,
( composition(converse(meet(top,complement(one))),one) != converse(meet(top,complement(one)))
| join(complement(one),composition(converse(meet(top,complement(one))),one)) = join(complement(one),converse(meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),one)),join(complement(one),composition(converse(meet(top,complement(one))),one))) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
join(complement(one),composition(converse(meet(top,complement(one))),one)) = join(complement(one),converse(meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(converse(meet(top,complement(one))),one),converse(meet(top,complement(one)))) )],[refute_0_1360,refute_0_1363]) ).
cnf(refute_0_1365,plain,
( join(complement(one),composition(converse(meet(top,complement(one))),one)) != complement(one)
| join(complement(one),composition(converse(meet(top,complement(one))),one)) != join(complement(one),converse(meet(top,complement(one))))
| join(complement(one),converse(meet(top,complement(one)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),one)),complement(one)) ),[0],$fot(join(complement(one),converse(meet(top,complement(one)))))]]) ).
cnf(refute_0_1366,plain,
( join(complement(one),composition(converse(meet(top,complement(one))),one)) != complement(one)
| join(complement(one),converse(meet(top,complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),one)),join(complement(one),converse(meet(top,complement(one))))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
join(complement(one),converse(meet(top,complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(top,complement(one))),one)),complement(one)) )],[refute_0_1359,refute_0_1366]) ).
cnf(refute_0_1368,plain,
( join(complement(one),converse(meet(top,complement(one)))) != complement(one)
| join(one,join(complement(one),converse(meet(top,complement(one))))) != join(top,converse(meet(top,complement(one))))
| join(one,complement(one)) = join(top,converse(meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),converse(meet(top,complement(one))))),join(top,converse(meet(top,complement(one))))) ),[0,1],$fot(complement(one))]]) ).
cnf(refute_0_1369,plain,
( join(one,join(complement(one),converse(meet(top,complement(one))))) != join(top,converse(meet(top,complement(one))))
| join(one,complement(one)) = join(top,converse(meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),complement(one)) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
join(one,complement(one)) = join(top,converse(meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(meet(top,complement(one))))),join(top,converse(meet(top,complement(one))))) )],[refute_0_1355,refute_0_1369]) ).
cnf(refute_0_1371,plain,
( join(one,complement(one)) != join(top,converse(meet(top,complement(one))))
| join(one,complement(one)) != top
| top = join(top,converse(meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(one)),join(top,converse(meet(top,complement(one))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1372,plain,
( join(one,complement(one)) != join(top,converse(meet(top,complement(one))))
| top = join(top,converse(meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_722,refute_0_1371]) ).
cnf(refute_0_1373,plain,
top = join(top,converse(meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,complement(one)),join(top,converse(meet(top,complement(one))))) )],[refute_0_1370,refute_0_1372]) ).
cnf(refute_0_1374,plain,
( top != join(top,converse(meet(top,complement(one))))
| join(top,converse(meet(top,complement(one)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,converse(meet(top,complement(one))))))]]) ).
cnf(refute_0_1375,plain,
join(top,converse(meet(top,complement(one)))) = top,
inference(resolve,[$cnf( $equal(top,join(top,converse(meet(top,complement(one))))) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
( converse(join(converse(meet(top,complement(one))),top)) != converse(join(top,converse(meet(top,complement(one)))))
| join(top,converse(meet(top,complement(one)))) != top
| converse(join(converse(meet(top,complement(one))),top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),top)),converse(join(top,converse(meet(top,complement(one)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1377,plain,
( converse(join(converse(meet(top,complement(one))),top)) != converse(join(top,converse(meet(top,complement(one)))))
| converse(join(converse(meet(top,complement(one))),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(meet(top,complement(one)))),top) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
converse(join(converse(meet(top,complement(one))),top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),top)),converse(join(top,converse(meet(top,complement(one)))))) )],[refute_0_1354,refute_0_1377]) ).
cnf(refute_0_1379,plain,
converse(join(top,converse(meet(top,complement(one))))) = join(converse(top),meet(top,complement(one))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(meet(top,complement(one)))),bind(X_4,$fot(top))]]) ).
cnf(refute_0_1380,plain,
( converse(join(converse(meet(top,complement(one))),top)) != converse(join(top,converse(meet(top,complement(one)))))
| converse(join(top,converse(meet(top,complement(one))))) != join(converse(top),meet(top,complement(one)))
| converse(join(converse(meet(top,complement(one))),top)) = join(converse(top),meet(top,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(meet(top,complement(one))),top)))),bind(Y,$fot(converse(join(top,converse(meet(top,complement(one))))))),bind(Z,$fot(join(converse(top),meet(top,complement(one)))))]]) ).
cnf(refute_0_1381,plain,
( converse(join(top,converse(meet(top,complement(one))))) != join(converse(top),meet(top,complement(one)))
| converse(join(converse(meet(top,complement(one))),top)) = join(converse(top),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),top)),converse(join(top,converse(meet(top,complement(one)))))) )],[refute_0_1354,refute_0_1380]) ).
cnf(refute_0_1382,plain,
converse(join(converse(meet(top,complement(one))),top)) = join(converse(top),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(meet(top,complement(one))))),join(converse(top),meet(top,complement(one)))) )],[refute_0_1379,refute_0_1381]) ).
cnf(refute_0_1383,plain,
( converse(join(converse(meet(top,complement(one))),top)) != converse(top)
| converse(join(converse(meet(top,complement(one))),top)) != join(converse(top),meet(top,complement(one)))
| join(converse(top),meet(top,complement(one))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),top)),converse(top)) ),[0],$fot(join(converse(top),meet(top,complement(one))))]]) ).
cnf(refute_0_1384,plain,
( converse(join(converse(meet(top,complement(one))),top)) != converse(top)
| join(converse(top),meet(top,complement(one))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),top)),join(converse(top),meet(top,complement(one)))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
join(converse(top),meet(top,complement(one))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),top)),converse(top)) )],[refute_0_1378,refute_0_1384]) ).
cnf(refute_0_1386,plain,
( join(converse(top),meet(top,complement(one))) != converse(top)
| join(converse(top),meet(top,complement(one))) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| converse(top) = join(top,meet(converse(complement(one)),meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),meet(top,complement(one))),join(top,meet(converse(complement(one)),meet(top,complement(one))))) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_1387,plain,
( join(converse(top),meet(top,complement(one))) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| converse(top) = join(top,meet(converse(complement(one)),meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(top),meet(top,complement(one))),converse(top)) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
converse(top) = join(top,meet(converse(complement(one)),meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(top),meet(top,complement(one))),join(top,meet(converse(complement(one)),meet(top,complement(one))))) )],[refute_0_1353,refute_0_1387]) ).
cnf(refute_0_1389,plain,
join(one,join(complement(one),composition(X0,complement(converse(X0))))) = join(top,composition(X0,complement(converse(X0)))),
inference(subst,[],[refute_0_836:[bind(X_56,$fot(one)),bind(X_58,$fot(composition(X0,complement(converse(X0)))))]]) ).
cnf(refute_0_1390,plain,
join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) = complement(one),
inference(subst,[],[refute_0_385:[bind(X_13,$fot(converse(X0)))]]) ).
cnf(refute_0_1391,plain,
( converse(converse(X0)) != X0
| join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
| join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_1392,plain,
( join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
| join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_1391]) ).
cnf(refute_0_1393,plain,
join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) )],[refute_0_1390,refute_0_1392]) ).
cnf(refute_0_1394,plain,
( join(complement(one),composition(X0,complement(converse(X0)))) != complement(one)
| join(one,join(complement(one),composition(X0,complement(converse(X0))))) != join(top,composition(X0,complement(converse(X0))))
| join(one,complement(one)) = join(top,composition(X0,complement(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),composition(X0,complement(converse(X0))))),join(top,composition(X0,complement(converse(X0))))) ),[0,1],$fot(complement(one))]]) ).
cnf(refute_0_1395,plain,
( join(one,join(complement(one),composition(X0,complement(converse(X0))))) != join(top,composition(X0,complement(converse(X0))))
| join(one,complement(one)) = join(top,composition(X0,complement(converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(X0,complement(converse(X0)))),complement(one)) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
join(one,complement(one)) = join(top,composition(X0,complement(converse(X0)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),composition(X0,complement(converse(X0))))),join(top,composition(X0,complement(converse(X0))))) )],[refute_0_1389,refute_0_1395]) ).
cnf(refute_0_1397,plain,
( join(one,complement(one)) != join(top,composition(X0,complement(converse(X0))))
| join(one,complement(one)) != top
| top = join(top,composition(X0,complement(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(one)),join(top,composition(X0,complement(converse(X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1398,plain,
( join(one,complement(one)) != join(top,composition(X0,complement(converse(X0))))
| top = join(top,composition(X0,complement(converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_722,refute_0_1397]) ).
cnf(refute_0_1399,plain,
top = join(top,composition(X0,complement(converse(X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(one)),join(top,composition(X0,complement(converse(X0))))) )],[refute_0_1396,refute_0_1398]) ).
cnf(refute_0_1400,plain,
top = join(top,composition(one,complement(converse(one)))),
inference(subst,[],[refute_0_1399:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1401,plain,
( converse(one) != one
| top != join(top,composition(one,complement(converse(one))))
| top = join(top,composition(one,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(one,complement(converse(one))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_1402,plain,
( top != join(top,composition(one,complement(converse(one))))
| top = join(top,composition(one,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_1401]) ).
cnf(refute_0_1403,plain,
top = join(top,composition(one,complement(one))),
inference(resolve,[$cnf( $equal(top,join(top,composition(one,complement(converse(one))))) )],[refute_0_1400,refute_0_1402]) ).
cnf(refute_0_1404,plain,
join(top,composition(one,complement(one))) = join(top,composition(one,complement(one))),
introduced(tautology,[refl,[$fot(join(top,composition(one,complement(one))))]]) ).
cnf(refute_0_1405,plain,
( composition(one,complement(one)) != complement(one)
| join(top,composition(one,complement(one))) != join(top,composition(one,complement(one)))
| join(top,composition(one,complement(one))) = join(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,composition(one,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1406,plain,
( composition(one,complement(one)) != complement(one)
| join(top,composition(one,complement(one))) = join(top,complement(one)) ),
inference(resolve,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,composition(one,complement(one)))) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
join(top,composition(one,complement(one))) = join(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_464,refute_0_1406]) ).
cnf(refute_0_1408,plain,
( join(top,composition(one,complement(one))) != join(top,complement(one))
| top != join(top,composition(one,complement(one)))
| top = join(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(one,complement(one)))) ),[1],$fot(join(top,complement(one)))]]) ).
cnf(refute_0_1409,plain,
( top != join(top,composition(one,complement(one)))
| top = join(top,complement(one)) ),
inference(resolve,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,complement(one))) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
top = join(top,complement(one)),
inference(resolve,[$cnf( $equal(top,join(top,composition(one,complement(one)))) )],[refute_0_1403,refute_0_1409]) ).
cnf(refute_0_1411,plain,
( top != join(top,complement(one))
| join(top,complement(one)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(one))))]]) ).
cnf(refute_0_1412,plain,
join(top,complement(one)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(one))) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(top,join(zero,meet(X_37,X_37))) = join(top,meet(X_37,X_37)),
inference(subst,[],[refute_0_530:[bind(X_58,$fot(meet(X_37,X_37)))]]) ).
cnf(refute_0_1414,plain,
( join(top,join(zero,meet(X_37,X_37))) != join(top,meet(X_37,X_37))
| join(zero,meet(X_37,X_37)) != X_37
| join(top,X_37) = join(top,meet(X_37,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,meet(X_37,X_37))),join(top,meet(X_37,X_37))) ),[0,1],$fot(X_37)]]) ).
cnf(refute_0_1415,plain,
( join(top,join(zero,meet(X_37,X_37))) != join(top,meet(X_37,X_37))
| join(top,X_37) = join(top,meet(X_37,X_37)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,X_37)),X_37) )],[refute_0_425,refute_0_1414]) ).
cnf(refute_0_1416,plain,
join(top,X_37) = join(top,meet(X_37,X_37)),
inference(resolve,[$cnf( $equal(join(top,join(zero,meet(X_37,X_37))),join(top,meet(X_37,X_37))) )],[refute_0_1413,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( join(top,X_37) != join(top,meet(X_37,X_37))
| join(top,meet(X_37,X_37)) = join(top,X_37) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(top,X_37))),bind(Y,$fot(join(top,meet(X_37,X_37))))]]) ).
cnf(refute_0_1418,plain,
join(top,meet(X_37,X_37)) = join(top,X_37),
inference(resolve,[$cnf( $equal(join(top,X_37),join(top,meet(X_37,X_37))) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(top,meet(complement(one),complement(one))) = join(top,complement(one)),
inference(subst,[],[refute_0_1418:[bind(X_37,$fot(complement(one)))]]) ).
cnf(refute_0_1420,plain,
( join(top,complement(one)) != top
| join(top,meet(complement(one),complement(one))) != join(top,complement(one))
| join(top,meet(complement(one),complement(one))) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,meet(complement(one),complement(one))))),bind(Y,$fot(join(top,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1421,plain,
( join(top,complement(one)) != top
| join(top,meet(complement(one),complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(complement(one),complement(one))),join(top,complement(one))) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
join(top,meet(complement(one),complement(one))) = top,
inference(resolve,[$cnf( $equal(join(top,complement(one)),top) )],[refute_0_1412,refute_0_1421]) ).
cnf(refute_0_1423,plain,
meet(complement(one),meet(top,complement(one))) = meet(complement(one),meet(top,complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(one),meet(top,complement(one))))]]) ).
cnf(refute_0_1424,plain,
( meet(complement(one),meet(top,complement(one))) != meet(complement(one),meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| meet(complement(one),meet(top,complement(one))) = meet(complement(one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(top,complement(one))),meet(complement(one),meet(top,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1425,plain,
( meet(top,complement(one)) != complement(one)
| meet(complement(one),meet(top,complement(one))) = meet(complement(one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(top,complement(one))),meet(complement(one),meet(top,complement(one)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
meet(complement(one),meet(top,complement(one))) = meet(complement(one),complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_1425]) ).
cnf(refute_0_1427,plain,
converse(join(converse(meet(top,complement(one))),complement(one))) = converse(join(complement(one),converse(meet(top,complement(one))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(converse(meet(top,complement(one))))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_1428,plain,
( converse(join(converse(meet(top,complement(one))),complement(one))) != converse(join(complement(one),converse(meet(top,complement(one)))))
| join(complement(one),converse(meet(top,complement(one)))) != complement(one)
| converse(join(converse(meet(top,complement(one))),complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),complement(one))),converse(join(complement(one),converse(meet(top,complement(one)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1429,plain,
( converse(join(converse(meet(top,complement(one))),complement(one))) != converse(join(complement(one),converse(meet(top,complement(one)))))
| converse(join(converse(meet(top,complement(one))),complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),complement(one)) )],[refute_0_1367,refute_0_1428]) ).
cnf(refute_0_1430,plain,
converse(join(converse(meet(top,complement(one))),complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),complement(one))),converse(join(complement(one),converse(meet(top,complement(one)))))) )],[refute_0_1427,refute_0_1429]) ).
cnf(refute_0_1431,plain,
converse(join(complement(one),converse(meet(top,complement(one))))) = join(converse(complement(one)),meet(top,complement(one))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(meet(top,complement(one)))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_1432,plain,
( converse(join(complement(one),converse(meet(top,complement(one))))) != join(converse(complement(one)),meet(top,complement(one)))
| converse(join(converse(meet(top,complement(one))),complement(one))) != converse(join(complement(one),converse(meet(top,complement(one)))))
| converse(join(converse(meet(top,complement(one))),complement(one))) = join(converse(complement(one)),meet(top,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(meet(top,complement(one))),complement(one))))),bind(Y,$fot(converse(join(complement(one),converse(meet(top,complement(one))))))),bind(Z,$fot(join(converse(complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_1433,plain,
( converse(join(complement(one),converse(meet(top,complement(one))))) != join(converse(complement(one)),meet(top,complement(one)))
| converse(join(converse(meet(top,complement(one))),complement(one))) = join(converse(complement(one)),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),complement(one))),converse(join(complement(one),converse(meet(top,complement(one)))))) )],[refute_0_1427,refute_0_1432]) ).
cnf(refute_0_1434,plain,
converse(join(converse(meet(top,complement(one))),complement(one))) = join(converse(complement(one)),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(meet(top,complement(one))))),join(converse(complement(one)),meet(top,complement(one)))) )],[refute_0_1431,refute_0_1433]) ).
cnf(refute_0_1435,plain,
( converse(join(converse(meet(top,complement(one))),complement(one))) != converse(complement(one))
| converse(join(converse(meet(top,complement(one))),complement(one))) != join(converse(complement(one)),meet(top,complement(one)))
| join(converse(complement(one)),meet(top,complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),complement(one))),converse(complement(one))) ),[0],$fot(join(converse(complement(one)),meet(top,complement(one))))]]) ).
cnf(refute_0_1436,plain,
( converse(join(converse(meet(top,complement(one))),complement(one))) != converse(complement(one))
| join(converse(complement(one)),meet(top,complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),complement(one))),join(converse(complement(one)),meet(top,complement(one)))) )],[refute_0_1434,refute_0_1435]) ).
cnf(refute_0_1437,plain,
join(converse(complement(one)),meet(top,complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(top,complement(one))),complement(one))),converse(complement(one))) )],[refute_0_1430,refute_0_1436]) ).
cnf(refute_0_1438,plain,
converse(meet(top,complement(one))) = converse(meet(top,complement(one))),
introduced(tautology,[refl,[$fot(converse(meet(top,complement(one))))]]) ).
cnf(refute_0_1439,plain,
( converse(meet(top,complement(one))) != converse(meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| converse(meet(top,complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(top,complement(one))),converse(meet(top,complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1440,plain,
( meet(top,complement(one)) != complement(one)
| converse(meet(top,complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(meet(top,complement(one))),converse(meet(top,complement(one)))) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
converse(meet(top,complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_1440]) ).
cnf(refute_0_1442,plain,
join(complement(one),converse(meet(top,complement(one)))) = join(complement(one),converse(meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),converse(meet(top,complement(one)))))]]) ).
cnf(refute_0_1443,plain,
( converse(meet(top,complement(one))) != converse(complement(one))
| join(complement(one),converse(meet(top,complement(one)))) != join(complement(one),converse(meet(top,complement(one))))
| join(complement(one),converse(meet(top,complement(one)))) = join(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),join(complement(one),converse(meet(top,complement(one))))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1444,plain,
( converse(meet(top,complement(one))) != converse(complement(one))
| join(complement(one),converse(meet(top,complement(one)))) = join(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),join(complement(one),converse(meet(top,complement(one))))) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
join(complement(one),converse(meet(top,complement(one)))) = join(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(meet(top,complement(one))),converse(complement(one))) )],[refute_0_1441,refute_0_1444]) ).
cnf(refute_0_1446,plain,
( join(complement(one),converse(meet(top,complement(one)))) != complement(one)
| join(complement(one),converse(meet(top,complement(one)))) != join(complement(one),converse(complement(one)))
| join(complement(one),converse(complement(one))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),complement(one)) ),[0],$fot(join(complement(one),converse(complement(one))))]]) ).
cnf(refute_0_1447,plain,
( join(complement(one),converse(meet(top,complement(one)))) != complement(one)
| join(complement(one),converse(complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),join(complement(one),converse(complement(one)))) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(top,complement(one)))),complement(one)) )],[refute_0_1367,refute_0_1447]) ).
cnf(refute_0_1449,plain,
join(converse(complement(one)),complement(one)) = join(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1450,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| join(converse(complement(one)),complement(one)) != join(complement(one),converse(complement(one)))
| join(converse(complement(one)),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(one)),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1451,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| join(converse(complement(one)),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),join(complement(one),converse(complement(one)))) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
join(converse(complement(one)),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1448,refute_0_1451]) ).
cnf(refute_0_1453,plain,
join(converse(complement(one)),meet(top,complement(one))) = join(converse(complement(one)),meet(top,complement(one))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),meet(top,complement(one))))]]) ).
cnf(refute_0_1454,plain,
( join(converse(complement(one)),meet(top,complement(one))) != join(converse(complement(one)),meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| join(converse(complement(one)),meet(top,complement(one))) = join(converse(complement(one)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),meet(top,complement(one))),join(converse(complement(one)),meet(top,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1455,plain,
( meet(top,complement(one)) != complement(one)
| join(converse(complement(one)),meet(top,complement(one))) = join(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(top,complement(one))),join(converse(complement(one)),meet(top,complement(one)))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
join(converse(complement(one)),meet(top,complement(one))) = join(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_1455]) ).
cnf(refute_0_1457,plain,
( join(converse(complement(one)),complement(one)) != complement(one)
| join(converse(complement(one)),meet(top,complement(one))) != join(converse(complement(one)),complement(one))
| join(converse(complement(one)),meet(top,complement(one))) = complement(one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(one)),meet(top,complement(one))))),bind(Y,$fot(join(converse(complement(one)),complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1458,plain,
( join(converse(complement(one)),complement(one)) != complement(one)
| join(converse(complement(one)),meet(top,complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(top,complement(one))),join(converse(complement(one)),complement(one))) )],[refute_0_1456,refute_0_1457]) ).
cnf(refute_0_1459,plain,
join(converse(complement(one)),meet(top,complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),complement(one)) )],[refute_0_1452,refute_0_1458]) ).
cnf(refute_0_1460,plain,
( join(converse(complement(one)),meet(top,complement(one))) != complement(one)
| join(converse(complement(one)),meet(top,complement(one))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),meet(top,complement(one))),converse(complement(one))) ),[0],$fot(complement(one))]]) ).
cnf(refute_0_1461,plain,
( join(converse(complement(one)),meet(top,complement(one))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(top,complement(one))),complement(one)) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
complement(one) = converse(complement(one)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(top,complement(one))),converse(complement(one))) )],[refute_0_1437,refute_0_1461]) ).
cnf(refute_0_1463,plain,
( complement(one) != converse(complement(one))
| converse(complement(one)) = complement(one) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(one))),bind(Y,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1464,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),converse(complement(one))) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
meet(converse(complement(one)),meet(top,complement(one))) = meet(converse(complement(one)),meet(top,complement(one))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),meet(top,complement(one))))]]) ).
cnf(refute_0_1466,plain,
( converse(complement(one)) != complement(one)
| meet(converse(complement(one)),meet(top,complement(one))) != meet(converse(complement(one)),meet(top,complement(one)))
| meet(converse(complement(one)),meet(top,complement(one))) = meet(complement(one),meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),meet(top,complement(one))),meet(converse(complement(one)),meet(top,complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1467,plain,
( converse(complement(one)) != complement(one)
| meet(converse(complement(one)),meet(top,complement(one))) = meet(complement(one),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(top,complement(one))),meet(converse(complement(one)),meet(top,complement(one)))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
meet(converse(complement(one)),meet(top,complement(one))) = meet(complement(one),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_1467]) ).
cnf(refute_0_1469,plain,
( meet(complement(one),meet(top,complement(one))) != meet(complement(one),complement(one))
| meet(converse(complement(one)),meet(top,complement(one))) != meet(complement(one),meet(top,complement(one)))
| meet(converse(complement(one)),meet(top,complement(one))) = meet(complement(one),complement(one)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(converse(complement(one)),meet(top,complement(one))))),bind(Y,$fot(meet(complement(one),meet(top,complement(one))))),bind(Z,$fot(meet(complement(one),complement(one))))]]) ).
cnf(refute_0_1470,plain,
( meet(complement(one),meet(top,complement(one))) != meet(complement(one),complement(one))
| meet(converse(complement(one)),meet(top,complement(one))) = meet(complement(one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(top,complement(one))),meet(complement(one),meet(top,complement(one)))) )],[refute_0_1468,refute_0_1469]) ).
cnf(refute_0_1471,plain,
meet(converse(complement(one)),meet(top,complement(one))) = meet(complement(one),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(top,complement(one))),meet(complement(one),complement(one))) )],[refute_0_1426,refute_0_1470]) ).
cnf(refute_0_1472,plain,
join(top,meet(converse(complement(one)),meet(top,complement(one)))) = join(top,meet(converse(complement(one)),meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(join(top,meet(converse(complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_1473,plain,
( join(top,meet(converse(complement(one)),meet(top,complement(one)))) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| meet(converse(complement(one)),meet(top,complement(one))) != meet(complement(one),complement(one))
| join(top,meet(converse(complement(one)),meet(top,complement(one)))) = join(top,meet(complement(one),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(converse(complement(one)),meet(top,complement(one)))),join(top,meet(converse(complement(one)),meet(top,complement(one))))) ),[1,1],$fot(meet(complement(one),complement(one)))]]) ).
cnf(refute_0_1474,plain,
( meet(converse(complement(one)),meet(top,complement(one))) != meet(complement(one),complement(one))
| join(top,meet(converse(complement(one)),meet(top,complement(one)))) = join(top,meet(complement(one),complement(one))) ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(complement(one)),meet(top,complement(one)))),join(top,meet(converse(complement(one)),meet(top,complement(one))))) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
join(top,meet(converse(complement(one)),meet(top,complement(one)))) = join(top,meet(complement(one),complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(top,complement(one))),meet(complement(one),complement(one))) )],[refute_0_1471,refute_0_1474]) ).
cnf(refute_0_1476,plain,
( join(top,meet(complement(one),complement(one))) != top
| join(top,meet(converse(complement(one)),meet(top,complement(one)))) != join(top,meet(complement(one),complement(one)))
| join(top,meet(converse(complement(one)),meet(top,complement(one)))) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,meet(converse(complement(one)),meet(top,complement(one)))))),bind(Y,$fot(join(top,meet(complement(one),complement(one))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1477,plain,
( join(top,meet(complement(one),complement(one))) != top
| join(top,meet(converse(complement(one)),meet(top,complement(one)))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(complement(one)),meet(top,complement(one)))),join(top,meet(complement(one),complement(one)))) )],[refute_0_1475,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(top,meet(converse(complement(one)),meet(top,complement(one)))) = top,
inference(resolve,[$cnf( $equal(join(top,meet(complement(one),complement(one))),top) )],[refute_0_1422,refute_0_1477]) ).
cnf(refute_0_1479,plain,
( converse(top) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| join(top,meet(converse(complement(one)),meet(top,complement(one)))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,meet(converse(complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_1480,plain,
( converse(top) != join(top,meet(converse(complement(one)),meet(top,complement(one))))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(complement(one)),meet(top,complement(one)))),top) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(top,meet(converse(complement(one)),meet(top,complement(one))))) )],[refute_0_1388,refute_0_1480]) ).
cnf(refute_0_1482,plain,
join(X1,converse(top)) = join(X1,converse(top)),
introduced(tautology,[refl,[$fot(join(X1,converse(top)))]]) ).
cnf(refute_0_1483,plain,
( converse(top) != top
| join(X1,converse(top)) != join(X1,converse(top))
| join(X1,converse(top)) = join(X1,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,converse(top)),join(X1,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1484,plain,
( converse(top) != top
| join(X1,converse(top)) = join(X1,top) ),
inference(resolve,[$cnf( $equal(join(X1,converse(top)),join(X1,converse(top))) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
join(X1,converse(top)) = join(X1,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_1484]) ).
cnf(refute_0_1486,plain,
join(X0,join(X1,converse(top))) = join(X0,join(X1,converse(top))),
introduced(tautology,[refl,[$fot(join(X0,join(X1,converse(top))))]]) ).
cnf(refute_0_1487,plain,
( join(X0,join(X1,converse(top))) != join(X0,join(X1,converse(top)))
| join(X1,converse(top)) != join(X1,top)
| join(X0,join(X1,converse(top))) = join(X0,join(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,converse(top))),join(X0,join(X1,converse(top)))) ),[1,1],$fot(join(X1,top))]]) ).
cnf(refute_0_1488,plain,
( join(X1,converse(top)) != join(X1,top)
| join(X0,join(X1,converse(top))) = join(X0,join(X1,top)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,converse(top))),join(X0,join(X1,converse(top)))) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
join(X0,join(X1,converse(top))) = join(X0,join(X1,top)),
inference(resolve,[$cnf( $equal(join(X1,converse(top)),join(X1,top)) )],[refute_0_1485,refute_0_1488]) ).
cnf(refute_0_1490,plain,
join(zero,join(X0,join(X1,converse(top)))) = join(zero,join(X0,join(X1,converse(top)))),
introduced(tautology,[refl,[$fot(join(zero,join(X0,join(X1,converse(top)))))]]) ).
cnf(refute_0_1491,plain,
( join(X0,join(X1,converse(top))) != join(X0,join(X1,top))
| join(zero,join(X0,join(X1,converse(top)))) != join(zero,join(X0,join(X1,converse(top))))
| join(zero,join(X0,join(X1,converse(top)))) = join(zero,join(X0,join(X1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X0,join(X1,converse(top)))),join(zero,join(X0,join(X1,converse(top))))) ),[1,1],$fot(join(X0,join(X1,top)))]]) ).
cnf(refute_0_1492,plain,
( join(X0,join(X1,converse(top))) != join(X0,join(X1,top))
| join(zero,join(X0,join(X1,converse(top)))) = join(zero,join(X0,join(X1,top))) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,converse(top)))),join(zero,join(X0,join(X1,converse(top))))) )],[refute_0_1490,refute_0_1491]) ).
cnf(refute_0_1493,plain,
join(zero,join(X0,join(X1,converse(top)))) = join(zero,join(X0,join(X1,top))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,converse(top))),join(X0,join(X1,top))) )],[refute_0_1489,refute_0_1492]) ).
cnf(refute_0_1494,plain,
( join(zero,join(X0,join(X1,converse(top)))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,converse(top)))) != join(zero,join(X0,join(X1,top)))
| join(zero,join(X0,join(X1,top))) = join(converse(top),join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X0,join(X1,converse(top)))),join(converse(top),join(X0,X1))) ),[0],$fot(join(zero,join(X0,join(X1,top))))]]) ).
cnf(refute_0_1495,plain,
( join(zero,join(X0,join(X1,converse(top)))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,top))) = join(converse(top),join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,converse(top)))),join(zero,join(X0,join(X1,top)))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
join(converse(top),join(X0,X1)) = join(converse(top),join(X0,X1)),
introduced(tautology,[refl,[$fot(join(converse(top),join(X0,X1)))]]) ).
cnf(refute_0_1497,plain,
( converse(top) != top
| join(converse(top),join(X0,X1)) != join(converse(top),join(X0,X1))
| join(converse(top),join(X0,X1)) = join(top,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(X0,X1)),join(converse(top),join(X0,X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1498,plain,
( converse(top) != top
| join(converse(top),join(X0,X1)) = join(top,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(converse(top),join(X0,X1)),join(converse(top),join(X0,X1))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(converse(top),join(X0,X1)) = join(top,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( join(converse(top),join(X0,X1)) != join(top,join(X0,X1))
| join(zero,join(X0,join(X1,top))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,top))) = join(top,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(converse(top),join(X0,X1))) ),[1],$fot(join(top,join(X0,X1)))]]) ).
cnf(refute_0_1501,plain,
( join(zero,join(X0,join(X1,top))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,top))) = join(top,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(converse(top),join(X0,X1)),join(top,join(X0,X1))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
( join(zero,join(X0,join(X1,converse(top)))) != join(converse(top),join(X0,X1))
| join(zero,join(X0,join(X1,top))) = join(top,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(converse(top),join(X0,X1))) )],[refute_0_1495,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(zero,join(X0,join(X1,top))) = join(top,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,converse(top)))),join(converse(top),join(X0,X1))) )],[refute_0_1309,refute_0_1502]) ).
cnf(refute_0_1504,plain,
join(zero,top) = join(top,zero),
inference(subst,[],[refute_0_963:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1505,plain,
( join(top,zero) != top
| join(zero,top) != join(top,zero)
| join(zero,top) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1506,plain,
( join(top,zero) != top
| join(zero,top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
join(zero,top) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_527,refute_0_1506]) ).
cnf(refute_0_1508,plain,
join(X_38,complement(X_37)) = join(complement(X_37),X_38),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_38)),bind(X1,$fot(complement(X_37)))]]) ).
cnf(refute_0_1509,plain,
( join(X_38,complement(X_37)) != join(complement(X_37),X_38)
| join(complement(X_37),X_38) = join(X_38,complement(X_37)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_38,complement(X_37)))),bind(Y,$fot(join(complement(X_37),X_38)))]]) ).
cnf(refute_0_1510,plain,
join(complement(X_37),X_38) = join(X_38,complement(X_37)),
inference(resolve,[$cnf( $equal(join(X_38,complement(X_37)),join(complement(X_37),X_38)) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
( X_37 != join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))
| join(complement(X_37),X_38) != join(X_38,complement(X_37))
| X_37 = join(meet(X_37,X_38),complement(join(X_38,complement(X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))) ),[1,1,0],$fot(join(X_38,complement(X_37)))]]) ).
cnf(refute_0_1512,plain,
( X_37 != join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))
| X_37 = join(meet(X_37,X_38),complement(join(X_38,complement(X_37)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),X_38),join(X_38,complement(X_37))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
X_37 = join(meet(X_37,X_38),complement(join(X_38,complement(X_37)))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,X_38),complement(join(complement(X_37),X_38)))) )],[refute_0_75,refute_0_1512]) ).
cnf(refute_0_1514,plain,
join(X_69,top) = join(meet(join(X_69,top),meet(zero,X_69)),complement(join(meet(zero,X_69),complement(join(X_69,top))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(join(X_69,top))),bind(X_38,$fot(meet(zero,X_69)))]]) ).
cnf(refute_0_1515,plain,
zero = join(meet(zero,X_68),complement(join(X_68,complement(zero)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(zero)),bind(X_38,$fot(X_68))]]) ).
cnf(refute_0_1516,plain,
( complement(zero) != top
| zero != join(meet(zero,X_68),complement(join(X_68,complement(zero))))
| zero = join(meet(zero,X_68),complement(join(X_68,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_68),complement(join(X_68,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_0_1517,plain,
( zero != join(meet(zero,X_68),complement(join(X_68,complement(zero))))
| zero = join(meet(zero,X_68),complement(join(X_68,top))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_1516]) ).
cnf(refute_0_1518,plain,
zero = join(meet(zero,X_68),complement(join(X_68,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_68),complement(join(X_68,complement(zero))))) )],[refute_0_1515,refute_0_1517]) ).
cnf(refute_0_1519,plain,
zero = join(meet(zero,X_69),complement(join(X_69,top))),
inference(subst,[],[refute_0_1518:[bind(X_68,$fot(X_69))]]) ).
cnf(refute_0_1520,plain,
( zero != join(meet(zero,X_69),complement(join(X_69,top)))
| join(meet(zero,X_69),complement(join(X_69,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(zero,X_69),complement(join(X_69,top)))))]]) ).
cnf(refute_0_1521,plain,
join(meet(zero,X_69),complement(join(X_69,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_69),complement(join(X_69,top)))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
( join(X_69,top) != join(meet(join(X_69,top),meet(zero,X_69)),complement(join(meet(zero,X_69),complement(join(X_69,top)))))
| join(meet(zero,X_69),complement(join(X_69,top))) != zero
| join(X_69,top) = join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_69,top),join(meet(join(X_69,top),meet(zero,X_69)),complement(join(meet(zero,X_69),complement(join(X_69,top)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1523,plain,
( join(X_69,top) != join(meet(join(X_69,top),meet(zero,X_69)),complement(join(meet(zero,X_69),complement(join(X_69,top)))))
| join(X_69,top) = join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_69),complement(join(X_69,top))),zero) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
join(X_69,top) = join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)),
inference(resolve,[$cnf( $equal(join(X_69,top),join(meet(join(X_69,top),meet(zero,X_69)),complement(join(meet(zero,X_69),complement(join(X_69,top)))))) )],[refute_0_1514,refute_0_1523]) ).
cnf(refute_0_1525,plain,
join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) = join(complement(zero),meet(join(X_69,top),meet(zero,X_69))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(X_69,top),meet(zero,X_69))))]]) ).
cnf(refute_0_1526,plain,
( complement(zero) != top
| join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) != join(complement(zero),meet(join(X_69,top),meet(zero,X_69)))
| join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) = join(top,meet(join(X_69,top),meet(zero,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(X_69,top),meet(zero,X_69))),join(complement(zero),meet(join(X_69,top),meet(zero,X_69)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1527,plain,
( complement(zero) != top
| join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) = join(top,meet(join(X_69,top),meet(zero,X_69))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(X_69,top),meet(zero,X_69))),join(complement(zero),meet(join(X_69,top),meet(zero,X_69)))) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) = join(top,meet(join(X_69,top),meet(zero,X_69))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_1527]) ).
cnf(refute_0_1529,plain,
join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) = join(complement(zero),meet(join(X_69,top),meet(zero,X_69))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(join(X_69,top),meet(zero,X_69))))]]) ).
cnf(refute_0_1530,plain,
( join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) != join(top,meet(join(X_69,top),meet(zero,X_69)))
| join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) != join(complement(zero),meet(join(X_69,top),meet(zero,X_69)))
| join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) = join(top,meet(join(X_69,top),meet(zero,X_69))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(join(X_69,top),meet(zero,X_69))))),bind(Z,$fot(join(top,meet(join(X_69,top),meet(zero,X_69)))))]]) ).
cnf(refute_0_1531,plain,
( join(complement(zero),meet(join(X_69,top),meet(zero,X_69))) != join(top,meet(join(X_69,top),meet(zero,X_69)))
| join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) = join(top,meet(join(X_69,top),meet(zero,X_69))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)),join(complement(zero),meet(join(X_69,top),meet(zero,X_69)))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) = join(top,meet(join(X_69,top),meet(zero,X_69))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(X_69,top),meet(zero,X_69))),join(top,meet(join(X_69,top),meet(zero,X_69)))) )],[refute_0_1528,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( join(X_69,top) != join(meet(join(X_69,top),meet(zero,X_69)),complement(zero))
| join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)) != join(top,meet(join(X_69,top),meet(zero,X_69)))
| join(X_69,top) = join(top,meet(join(X_69,top),meet(zero,X_69))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_69,top),join(top,meet(join(X_69,top),meet(zero,X_69)))) ),[0],$fot(join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)))]]) ).
cnf(refute_0_1534,plain,
( join(X_69,top) != join(meet(join(X_69,top),meet(zero,X_69)),complement(zero))
| join(X_69,top) = join(top,meet(join(X_69,top),meet(zero,X_69))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_69,top),meet(zero,X_69)),complement(zero)),join(top,meet(join(X_69,top),meet(zero,X_69)))) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
join(X_69,top) = join(top,meet(join(X_69,top),meet(zero,X_69))),
inference(resolve,[$cnf( $equal(join(X_69,top),join(meet(join(X_69,top),meet(zero,X_69)),complement(zero))) )],[refute_0_1524,refute_0_1534]) ).
cnf(refute_0_1536,plain,
meet(zero,join(X_69,top)) = zero,
inference(subst,[],[refute_0_980:[bind(X1,$fot(join(X_69,top)))]]) ).
cnf(refute_0_1537,plain,
meet(join(X_69,top),zero) = meet(zero,join(X_69,top)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(zero)),bind(X_30,$fot(join(X_69,top)))]]) ).
cnf(refute_0_1538,plain,
( meet(join(X_69,top),zero) != meet(zero,join(X_69,top))
| meet(zero,join(X_69,top)) != zero
| meet(join(X_69,top),zero) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(join(X_69,top),zero))),bind(Y,$fot(meet(zero,join(X_69,top)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1539,plain,
( meet(zero,join(X_69,top)) != zero
| meet(join(X_69,top),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_69,top),zero),meet(zero,join(X_69,top))) )],[refute_0_1537,refute_0_1538]) ).
cnf(refute_0_1540,plain,
meet(join(X_69,top),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,join(X_69,top)),zero) )],[refute_0_1536,refute_0_1539]) ).
cnf(refute_0_1541,plain,
meet(zero,X_69) = zero,
inference(subst,[],[refute_0_980:[bind(X1,$fot(X_69))]]) ).
cnf(refute_0_1542,plain,
meet(join(X_69,top),meet(zero,X_69)) = meet(join(X_69,top),meet(zero,X_69)),
introduced(tautology,[refl,[$fot(meet(join(X_69,top),meet(zero,X_69)))]]) ).
cnf(refute_0_1543,plain,
( meet(join(X_69,top),meet(zero,X_69)) != meet(join(X_69,top),meet(zero,X_69))
| meet(zero,X_69) != zero
| meet(join(X_69,top),meet(zero,X_69)) = meet(join(X_69,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_69,top),meet(zero,X_69)),meet(join(X_69,top),meet(zero,X_69))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1544,plain,
( meet(zero,X_69) != zero
| meet(join(X_69,top),meet(zero,X_69)) = meet(join(X_69,top),zero) ),
inference(resolve,[$cnf( $equal(meet(join(X_69,top),meet(zero,X_69)),meet(join(X_69,top),meet(zero,X_69))) )],[refute_0_1542,refute_0_1543]) ).
cnf(refute_0_1545,plain,
meet(join(X_69,top),meet(zero,X_69)) = meet(join(X_69,top),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_69),zero) )],[refute_0_1541,refute_0_1544]) ).
cnf(refute_0_1546,plain,
( meet(join(X_69,top),meet(zero,X_69)) != meet(join(X_69,top),zero)
| meet(join(X_69,top),zero) != zero
| meet(join(X_69,top),meet(zero,X_69)) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(join(X_69,top),meet(zero,X_69)))),bind(Y,$fot(meet(join(X_69,top),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1547,plain,
( meet(join(X_69,top),zero) != zero
| meet(join(X_69,top),meet(zero,X_69)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_69,top),meet(zero,X_69)),meet(join(X_69,top),zero)) )],[refute_0_1545,refute_0_1546]) ).
cnf(refute_0_1548,plain,
meet(join(X_69,top),meet(zero,X_69)) = zero,
inference(resolve,[$cnf( $equal(meet(join(X_69,top),zero),zero) )],[refute_0_1540,refute_0_1547]) ).
cnf(refute_0_1549,plain,
join(top,meet(join(X_69,top),meet(zero,X_69))) = join(top,meet(join(X_69,top),meet(zero,X_69))),
introduced(tautology,[refl,[$fot(join(top,meet(join(X_69,top),meet(zero,X_69))))]]) ).
cnf(refute_0_1550,plain,
( join(top,meet(join(X_69,top),meet(zero,X_69))) != join(top,meet(join(X_69,top),meet(zero,X_69)))
| meet(join(X_69,top),meet(zero,X_69)) != zero
| join(top,meet(join(X_69,top),meet(zero,X_69))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(join(X_69,top),meet(zero,X_69))),join(top,meet(join(X_69,top),meet(zero,X_69)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1551,plain,
( meet(join(X_69,top),meet(zero,X_69)) != zero
| join(top,meet(join(X_69,top),meet(zero,X_69))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_69,top),meet(zero,X_69))),join(top,meet(join(X_69,top),meet(zero,X_69)))) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
join(top,meet(join(X_69,top),meet(zero,X_69))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(join(X_69,top),meet(zero,X_69)),zero) )],[refute_0_1548,refute_0_1551]) ).
cnf(refute_0_1553,plain,
( join(top,meet(join(X_69,top),meet(zero,X_69))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(join(X_69,top),meet(zero,X_69))) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,meet(join(X_69,top),meet(zero,X_69))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1554,plain,
( join(top,zero) != top
| join(top,meet(join(X_69,top),meet(zero,X_69))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_69,top),meet(zero,X_69))),join(top,zero)) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(top,meet(join(X_69,top),meet(zero,X_69))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_527,refute_0_1554]) ).
cnf(refute_0_1556,plain,
( join(X_69,top) != join(top,meet(join(X_69,top),meet(zero,X_69)))
| join(top,meet(join(X_69,top),meet(zero,X_69))) != top
| join(X_69,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_69,top),top) ),[0],$fot(join(top,meet(join(X_69,top),meet(zero,X_69))))]]) ).
cnf(refute_0_1557,plain,
( join(X_69,top) != join(top,meet(join(X_69,top),meet(zero,X_69)))
| join(X_69,top) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_69,top),meet(zero,X_69))),top) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
join(X_69,top) = top,
inference(resolve,[$cnf( $equal(join(X_69,top),join(top,meet(join(X_69,top),meet(zero,X_69)))) )],[refute_0_1535,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(X0,top) = top,
inference(subst,[],[refute_0_1558:[bind(X_69,$fot(X0))]]) ).
cnf(refute_0_1560,plain,
join(X1,top) = top,
inference(subst,[],[refute_0_1558:[bind(X_69,$fot(X1))]]) ).
cnf(refute_0_1561,plain,
join(X0,join(X1,top)) = join(X0,join(X1,top)),
introduced(tautology,[refl,[$fot(join(X0,join(X1,top)))]]) ).
cnf(refute_0_1562,plain,
( join(X0,join(X1,top)) != join(X0,join(X1,top))
| join(X1,top) != top
| join(X0,join(X1,top)) = join(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,top)),join(X0,join(X1,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1563,plain,
( join(X1,top) != top
| join(X0,join(X1,top)) = join(X0,top) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,top)),join(X0,join(X1,top))) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
join(X0,join(X1,top)) = join(X0,top),
inference(resolve,[$cnf( $equal(join(X1,top),top) )],[refute_0_1560,refute_0_1563]) ).
cnf(refute_0_1565,plain,
( join(X0,join(X1,top)) != join(X0,top)
| join(X0,top) != top
| join(X0,join(X1,top)) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X0,join(X1,top)))),bind(Y,$fot(join(X0,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1566,plain,
( join(X0,top) != top
| join(X0,join(X1,top)) = top ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,top)),join(X0,top)) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
join(X0,join(X1,top)) = top,
inference(resolve,[$cnf( $equal(join(X0,top),top) )],[refute_0_1559,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(zero,join(X0,join(X1,top))) = join(zero,join(X0,join(X1,top))),
introduced(tautology,[refl,[$fot(join(zero,join(X0,join(X1,top))))]]) ).
cnf(refute_0_1569,plain,
( join(X0,join(X1,top)) != top
| join(zero,join(X0,join(X1,top))) != join(zero,join(X0,join(X1,top)))
| join(zero,join(X0,join(X1,top))) = join(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(zero,join(X0,join(X1,top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1570,plain,
( join(X0,join(X1,top)) != top
| join(zero,join(X0,join(X1,top))) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(zero,join(X0,join(X1,top)))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(zero,join(X0,join(X1,top))) = join(zero,top),
inference(resolve,[$cnf( $equal(join(X0,join(X1,top)),top) )],[refute_0_1567,refute_0_1570]) ).
cnf(refute_0_1572,plain,
( join(zero,join(X0,join(X1,top))) != join(zero,top)
| join(zero,top) != top
| join(zero,join(X0,join(X1,top))) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,join(X0,join(X1,top))))),bind(Y,$fot(join(zero,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1573,plain,
( join(zero,top) != top
| join(zero,join(X0,join(X1,top))) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(zero,top)) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(zero,join(X0,join(X1,top))) = top,
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_1507,refute_0_1573]) ).
cnf(refute_0_1575,plain,
( join(zero,join(X0,join(X1,top))) != join(top,join(X0,X1))
| join(zero,join(X0,join(X1,top))) != top
| top = join(top,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(top,join(X0,X1))) ),[0],$fot(top)]]) ).
cnf(refute_0_1576,plain,
( join(zero,join(X0,join(X1,top))) != join(top,join(X0,X1))
| top = join(top,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,top))),top) )],[refute_0_1574,refute_0_1575]) ).
cnf(refute_0_1577,plain,
top = join(top,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(zero,join(X0,join(X1,top))),join(top,join(X0,X1))) )],[refute_0_1503,refute_0_1576]) ).
cnf(refute_0_1578,plain,
( top != join(top,join(X0,X1))
| join(top,join(X0,X1)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(X0,X1))))]]) ).
cnf(refute_0_1579,plain,
join(top,join(X0,X1)) = top,
inference(resolve,[$cnf( $equal(top,join(top,join(X0,X1))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
join(top,join(converse(zero),X_58)) = top,
inference(subst,[],[refute_0_1579:[bind(X0,$fot(converse(zero))),bind(X1,$fot(X_58))]]) ).
cnf(refute_0_1581,plain,
( join(top,join(converse(zero),X_58)) != join(top,X_58)
| join(top,join(converse(zero),X_58)) != top
| top = join(top,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(zero),X_58)),join(top,X_58)) ),[0],$fot(top)]]) ).
cnf(refute_0_1582,plain,
( join(top,join(converse(zero),X_58)) != join(top,X_58)
| top = join(top,X_58) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(zero),X_58)),top) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
top = join(top,X_58),
inference(resolve,[$cnf( $equal(join(top,join(converse(zero),X_58)),join(top,X_58)) )],[refute_0_1291,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( top != join(top,X_58)
| join(top,X_58) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_58)))]]) ).
cnf(refute_0_1585,plain,
join(top,X_58) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_58)) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
join(top,converse(X_149)) = top,
inference(subst,[],[refute_0_1585:[bind(X_58,$fot(converse(X_149)))]]) ).
cnf(refute_0_1587,plain,
join(converse(X_149),top) = join(top,converse(X_149)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X_149))),bind(X1,$fot(top))]]) ).
cnf(refute_0_1588,plain,
( join(converse(X_149),top) != join(top,converse(X_149))
| join(top,converse(X_149)) != top
| join(converse(X_149),top) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(X_149),top))),bind(Y,$fot(join(top,converse(X_149)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1589,plain,
( join(top,converse(X_149)) != top
| join(converse(X_149),top) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_149),top),join(top,converse(X_149))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
join(converse(X_149),top) = top,
inference(resolve,[$cnf( $equal(join(top,converse(X_149)),top) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( join(complement(converse(X_151)),converse(join(X_149,X_151))) != join(converse(X_149),top)
| join(converse(X_149),top) != top
| join(complement(converse(X_151)),converse(join(X_149,X_151))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(X_151)),converse(join(X_149,X_151))),top) ),[0],$fot(join(converse(X_149),top))]]) ).
cnf(refute_0_1592,plain,
( join(complement(converse(X_151)),converse(join(X_149,X_151))) != join(converse(X_149),top)
| join(complement(converse(X_151)),converse(join(X_149,X_151))) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_149),top),top) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( join(converse(join(X_149,X_151)),complement(converse(X_151))) != join(converse(X_149),top)
| join(complement(converse(X_151)),converse(join(X_149,X_151))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_151)),converse(join(X_149,X_151))),join(converse(X_149),top)) )],[refute_0_1202,refute_0_1592]) ).
cnf(refute_0_1594,plain,
join(complement(converse(X_151)),converse(join(X_149,X_151))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(X_149,X_151)),complement(converse(X_151))),join(converse(X_149),top)) )],[refute_0_1199,refute_0_1593]) ).
cnf(refute_0_1595,plain,
join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_1594:[bind(X_149,$fot(one)),bind(X_151,$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1596,plain,
join(one,join(skolemFOFtoCNF_X0,X_58)) = join(join(one,skolemFOFtoCNF_X0),X_58),
inference(subst,[],[refute_0_209:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X_58))]]) ).
cnf(refute_0_1597,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_1598,plain,
join(skolemFOFtoCNF_X0,one) = join(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_6:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1599,plain,
( join(skolemFOFtoCNF_X0,one) != join(one,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) ),[0],$fot(join(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1600,plain,
( join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),join(one,skolemFOFtoCNF_X0)) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
join(one,skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) )],[refute_0_1597,refute_0_1600]) ).
cnf(refute_0_1602,plain,
( join(one,join(skolemFOFtoCNF_X0,X_58)) != join(join(one,skolemFOFtoCNF_X0),X_58)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,join(skolemFOFtoCNF_X0,X_58)) = join(one,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_58)),join(join(one,skolemFOFtoCNF_X0),X_58)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1603,plain,
( join(one,join(skolemFOFtoCNF_X0,X_58)) != join(join(one,skolemFOFtoCNF_X0),X_58)
| join(one,join(skolemFOFtoCNF_X0,X_58)) = join(one,X_58) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
join(one,join(skolemFOFtoCNF_X0,X_58)) = join(one,X_58),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_58)),join(join(one,skolemFOFtoCNF_X0),X_58)) )],[refute_0_1596,refute_0_1603]) ).
cnf(refute_0_1605,plain,
join(one,join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))) = join(one,composition(X_186,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(composition(X_186,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1606,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_1607,plain,
composition(join(X_174,one),X_176) = join(composition(X_174,X_176),composition(one,X_176)),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(X_174)),bind(X1,$fot(one)),bind(X2,$fot(X_176))]]) ).
cnf(refute_0_1608,plain,
X_176 = composition(one,X_176),
inference(subst,[],[refute_0_267:[bind(X_20,$fot(X_176))]]) ).
cnf(refute_0_1609,plain,
( X_176 != composition(one,X_176)
| composition(one,X_176) = X_176 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_176)),bind(Y,$fot(composition(one,X_176)))]]) ).
cnf(refute_0_1610,plain,
composition(one,X_176) = X_176,
inference(resolve,[$cnf( $equal(X_176,composition(one,X_176)) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
( composition(join(X_174,one),X_176) != join(composition(X_174,X_176),composition(one,X_176))
| composition(one,X_176) != X_176
| composition(join(X_174,one),X_176) = join(composition(X_174,X_176),X_176) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_174,one),X_176),join(composition(X_174,X_176),composition(one,X_176))) ),[1,1],$fot(X_176)]]) ).
cnf(refute_0_1612,plain,
( composition(join(X_174,one),X_176) != join(composition(X_174,X_176),composition(one,X_176))
| composition(join(X_174,one),X_176) = join(composition(X_174,X_176),X_176) ),
inference(resolve,[$cnf( $equal(composition(one,X_176),X_176) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
composition(join(X_174,one),X_176) = join(composition(X_174,X_176),X_176),
inference(resolve,[$cnf( $equal(composition(join(X_174,one),X_176),join(composition(X_174,X_176),composition(one,X_176))) )],[refute_0_1607,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(composition(X_174,X_176),X_176) = join(X_176,composition(X_174,X_176)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_174,X_176))),bind(X1,$fot(X_176))]]) ).
cnf(refute_0_1615,plain,
( composition(join(X_174,one),X_176) != join(composition(X_174,X_176),X_176)
| join(composition(X_174,X_176),X_176) != join(X_176,composition(X_174,X_176))
| composition(join(X_174,one),X_176) = join(X_176,composition(X_174,X_176)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_174,one),X_176),join(X_176,composition(X_174,X_176))) ),[0],$fot(join(composition(X_174,X_176),X_176))]]) ).
cnf(refute_0_1616,plain,
( composition(join(X_174,one),X_176) != join(composition(X_174,X_176),X_176)
| composition(join(X_174,one),X_176) = join(X_176,composition(X_174,X_176)) ),
inference(resolve,[$cnf( $equal(join(composition(X_174,X_176),X_176),join(X_176,composition(X_174,X_176))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
composition(join(X_174,one),X_176) = join(X_176,composition(X_174,X_176)),
inference(resolve,[$cnf( $equal(composition(join(X_174,one),X_176),join(composition(X_174,X_176),X_176)) )],[refute_0_1613,refute_0_1616]) ).
cnf(refute_0_1618,plain,
composition(join(X_186,one),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(X_186)),bind(X_176,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1619,plain,
( composition(join(X_186,one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0)) = composition(join(X_186,one),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_186,one),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1620,plain,
join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0)) = composition(join(X_186,one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X_186,one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))) != join(one,composition(X_186,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0)) != composition(join(X_186,one),skolemFOFtoCNF_X0)
| join(one,composition(join(X_186,one),skolemFOFtoCNF_X0)) = join(one,composition(X_186,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))),join(one,composition(X_186,skolemFOFtoCNF_X0))) ),[0,1],$fot(composition(join(X_186,one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1622,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))) != join(one,composition(X_186,skolemFOFtoCNF_X0))
| join(one,composition(join(X_186,one),skolemFOFtoCNF_X0)) = join(one,composition(X_186,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0)),composition(join(X_186,one),skolemFOFtoCNF_X0)) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
join(one,composition(join(X_186,one),skolemFOFtoCNF_X0)) = join(one,composition(X_186,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(X_186,skolemFOFtoCNF_X0))),join(one,composition(X_186,skolemFOFtoCNF_X0))) )],[refute_0_1605,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(one,composition(join(X_301,one),skolemFOFtoCNF_X0)) = join(one,composition(X_301,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1623:[bind(X_186,$fot(X_301))]]) ).
cnf(refute_0_1625,plain,
join(one,X_301) = join(X_301,one),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_301))]]) ).
cnf(refute_0_1626,plain,
( join(one,X_301) != join(X_301,one)
| join(X_301,one) = join(one,X_301) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_301))),bind(Y,$fot(join(X_301,one)))]]) ).
cnf(refute_0_1627,plain,
join(X_301,one) = join(one,X_301),
inference(resolve,[$cnf( $equal(join(one,X_301),join(X_301,one)) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
( join(X_301,one) != join(one,X_301)
| join(one,composition(join(X_301,one),skolemFOFtoCNF_X0)) != join(one,composition(X_301,skolemFOFtoCNF_X0))
| join(one,composition(join(one,X_301),skolemFOFtoCNF_X0)) = join(one,composition(X_301,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(X_301,one),skolemFOFtoCNF_X0)),join(one,composition(X_301,skolemFOFtoCNF_X0))) ),[0,1,0],$fot(join(one,X_301))]]) ).
cnf(refute_0_1629,plain,
( join(one,composition(join(X_301,one),skolemFOFtoCNF_X0)) != join(one,composition(X_301,skolemFOFtoCNF_X0))
| join(one,composition(join(one,X_301),skolemFOFtoCNF_X0)) = join(one,composition(X_301,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(X_301,one),join(one,X_301)) )],[refute_0_1627,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(one,composition(join(one,X_301),skolemFOFtoCNF_X0)) = join(one,composition(X_301,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(X_301,one),skolemFOFtoCNF_X0)),join(one,composition(X_301,skolemFOFtoCNF_X0))) )],[refute_0_1624,refute_0_1629]) ).
cnf(refute_0_1631,plain,
join(one,composition(join(one,meet(one,X1)),skolemFOFtoCNF_X0)) = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1630:[bind(X_301,$fot(meet(one,X1)))]]) ).
cnf(refute_0_1632,plain,
join(X1,join(X1,X2)) = join(join(X1,X1),X2),
inference(subst,[],[refute_0_209:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1633,plain,
join(X1,X1) = X1,
inference(subst,[],[refute_0_1062:[bind(X_129,$fot(X1))]]) ).
cnf(refute_0_1634,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_1635,plain,
( join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(X1,X1),X1) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) )],[refute_0_1632,refute_0_1635]) ).
cnf(refute_0_1637,plain,
join(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_1636:[bind(X1,$fot(meet(X0,X1))),bind(X2,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_1638,plain,
( X0 != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),complement(join(complement(X0),X1))) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_1639,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(resolve,[$cnf( $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_74,refute_0_1638]) ).
cnf(refute_0_1640,plain,
( join(meet(X0,X1),complement(join(complement(X0),X1))) != X0
| join(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),X0) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[0,1],$fot(X0)]]) ).
cnf(refute_0_1641,plain,
( join(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),X0) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),complement(join(complement(X0),X1))),X0) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
join(meet(X0,X1),X0) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_1637,refute_0_1641]) ).
cnf(refute_0_1643,plain,
join(meet(X0,X1),X0) = join(X0,meet(X0,X1)),
inference(subst,[],[refute_0_6:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1644,plain,
( join(meet(X0,X1),X0) != join(X0,meet(X0,X1))
| join(meet(X0,X1),X0) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(X0,meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X0,X1),X0),join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[0],$fot(join(X0,meet(X0,X1)))]]) ).
cnf(refute_0_1645,plain,
( join(meet(X0,X1),X0) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(X0,meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),X0),join(X0,meet(X0,X1))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
( join(X0,meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),complement(join(complement(X0),X1))) != X0
| join(X0,meet(X0,X1)) = X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,meet(X0,X1)),X0) ),[0],$fot(join(meet(X0,X1),complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_1647,plain,
( join(X0,meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(X0,meet(X0,X1)) = X0 ),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),complement(join(complement(X0),X1))),X0) )],[refute_0_1639,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( join(meet(X0,X1),X0) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(X0,meet(X0,X1)) = X0 ),
inference(resolve,[$cnf( $equal(join(X0,meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_1645,refute_0_1647]) ).
cnf(refute_0_1649,plain,
join(X0,meet(X0,X1)) = X0,
inference(resolve,[$cnf( $equal(join(meet(X0,X1),X0),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_1642,refute_0_1648]) ).
cnf(refute_0_1650,plain,
join(one,meet(one,X1)) = one,
inference(subst,[],[refute_0_1649:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1651,plain,
( join(one,composition(join(one,meet(one,X1)),skolemFOFtoCNF_X0)) != join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))
| join(one,meet(one,X1)) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,meet(one,X1)),skolemFOFtoCNF_X0)),join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_1652,plain,
( join(one,composition(join(one,meet(one,X1)),skolemFOFtoCNF_X0)) != join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,X1)),one) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,meet(one,X1)),skolemFOFtoCNF_X0)),join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))) )],[refute_0_1631,refute_0_1652]) ).
cnf(refute_0_1654,plain,
composition(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_269:[bind(X_20,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1655,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,composition(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1656,plain,
( composition(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(one,skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(one,skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1657,plain,
( composition(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(one,skolemFOFtoCNF_X0))) )],[refute_0_1655,refute_0_1656]) ).
cnf(refute_0_1658,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1654,refute_0_1657]) ).
cnf(refute_0_1659,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,skolemFOFtoCNF_X0)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,composition(one,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,skolemFOFtoCNF_X0))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1660,plain,
( join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,skolemFOFtoCNF_X0)) )],[refute_0_1658,refute_0_1659]) ).
cnf(refute_0_1661,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_1601,refute_0_1660]) ).
cnf(refute_0_1662,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) != one
| one = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))) ),[0],$fot(one)]]) ).
cnf(refute_0_1663,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))
| one = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),one) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
one = join(one,composition(meet(one,X1),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(meet(one,X1),skolemFOFtoCNF_X0))) )],[refute_0_1653,refute_0_1663]) ).
cnf(refute_0_1665,plain,
one = join(one,composition(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1664:[bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1666,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_1667,plain,
converse(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1668,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_209:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1669,plain,
one = join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_94:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_37,$fot(one))]]) ).
cnf(refute_0_1670,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(skolemFOFtoCNF_X0)),bind(X_38,$fot(one))]]) ).
cnf(refute_0_1671,plain,
join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1672,plain,
top = join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_103:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1673,plain,
( top != join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1674,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_1672,refute_0_1673]) ).
cnf(refute_0_1675,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1676,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_1674,refute_0_1675]) ).
cnf(refute_0_1677,plain,
join(one,top) = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1671,refute_0_1676]) ).
cnf(refute_0_1678,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = join(one,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1679,plain,
join(one,complement(skolemFOFtoCNF_X0)) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != join(one,top)
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))) ),[1,1,0],$fot(join(one,top))]]) ).
cnf(refute_0_1681,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),join(one,top)) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1670,refute_0_1681]) ).
cnf(refute_0_1683,plain,
meet(skolemFOFtoCNF_X0,one) = meet(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1684,plain,
join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) = join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))))]]) ).
cnf(refute_0_1685,plain,
( join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))
| meet(skolemFOFtoCNF_X0,one) != meet(one,skolemFOFtoCNF_X0)
| join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))),join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))) ),[1,0],$fot(meet(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1686,plain,
( meet(skolemFOFtoCNF_X0,one) != meet(one,skolemFOFtoCNF_X0)
| join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))),join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,one),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1683,refute_0_1686]) ).
cnf(refute_0_1688,plain,
( join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))) != join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))
| skolemFOFtoCNF_X0 = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))) ),[1],$fot(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))))]]) ).
cnf(refute_0_1689,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))
| skolemFOFtoCNF_X0 = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top))),join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
skolemFOFtoCNF_X0 = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(join(one,top)))) )],[refute_0_1682,refute_0_1689]) ).
cnf(refute_0_1691,plain,
join(meet(one,skolemFOFtoCNF_X0),zero) = join(zero,meet(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1692,plain,
complement(join(one,top)) = complement(join(one,top)),
introduced(tautology,[refl,[$fot(complement(join(one,top)))]]) ).
cnf(refute_0_1693,plain,
( complement(join(one,top)) != complement(join(one,top))
| join(one,top) != top
| complement(join(one,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1694,plain,
( join(one,top) != top
| complement(join(one,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) )],[refute_0_1692,refute_0_1693]) ).
cnf(refute_0_1695,plain,
complement(join(one,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_1694]) ).
cnf(refute_0_1696,plain,
( complement(join(one,top)) != complement(top)
| complement(top) != zero
| complement(join(one,top)) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(one,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1697,plain,
( complement(top) != zero
| complement(join(one,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(top)) )],[refute_0_1695,refute_0_1696]) ).
cnf(refute_0_1698,plain,
complement(join(one,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_1697]) ).
cnf(refute_0_1699,plain,
join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),
introduced(tautology,[refl,[$fot(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))))]]) ).
cnf(refute_0_1700,plain,
( complement(join(one,top)) != zero
| join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) != join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))
| join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1701,plain,
( complement(join(one,top)) != zero
| join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(meet(one,skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(complement(join(one,top)),zero) )],[refute_0_1698,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) != join(meet(one,skolemFOFtoCNF_X0),zero)
| join(meet(one,skolemFOFtoCNF_X0),zero) != join(zero,meet(one,skolemFOFtoCNF_X0))
| join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))))),bind(Y,$fot(join(meet(one,skolemFOFtoCNF_X0),zero))),bind(Z,$fot(join(zero,meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1704,plain,
( join(meet(one,skolemFOFtoCNF_X0),zero) != join(zero,meet(one,skolemFOFtoCNF_X0))
| join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),join(meet(one,skolemFOFtoCNF_X0),zero)) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) = join(zero,meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(one,skolemFOFtoCNF_X0),zero),join(zero,meet(one,skolemFOFtoCNF_X0))) )],[refute_0_1691,refute_0_1704]) ).
cnf(refute_0_1706,plain,
( join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))) != join(zero,meet(one,skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 != join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))
| skolemFOFtoCNF_X0 = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))) ),[1],$fot(join(zero,meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1707,plain,
( skolemFOFtoCNF_X0 != join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))
| skolemFOFtoCNF_X0 = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top))),join(zero,meet(one,skolemFOFtoCNF_X0))) )],[refute_0_1705,refute_0_1706]) ).
cnf(refute_0_1708,plain,
skolemFOFtoCNF_X0 = join(zero,meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(one,skolemFOFtoCNF_X0),complement(join(one,top)))) )],[refute_0_1690,refute_0_1707]) ).
cnf(refute_0_1709,plain,
join(zero,meet(one,skolemFOFtoCNF_X0)) = meet(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1710,plain,
( join(zero,meet(one,skolemFOFtoCNF_X0)) != meet(one,skolemFOFtoCNF_X0)
| skolemFOFtoCNF_X0 != join(zero,meet(one,skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,meet(one,skolemFOFtoCNF_X0))) ),[1],$fot(meet(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1711,plain,
( skolemFOFtoCNF_X0 != join(zero,meet(one,skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,skolemFOFtoCNF_X0)),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,meet(one,skolemFOFtoCNF_X0))) )],[refute_0_1708,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( skolemFOFtoCNF_X0 != meet(one,skolemFOFtoCNF_X0)
| meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1714,plain,
meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| one != join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1716,plain,
( one != join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1669,refute_0_1716]) ).
cnf(refute_0_1718,plain,
( one != join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1719,plain,
join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1721,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_1668,refute_0_1721]) ).
cnf(refute_0_1723,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1722:[bind(X2,$fot(join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1724,plain,
converse(top) = join(join(X_15,X_16),converse(complement(converse(join(X_15,X_16))))),
inference(subst,[],[refute_0_545:[bind(X_10,$fot(join(X_15,X_16)))]]) ).
cnf(refute_0_1725,plain,
( converse(join(X_15,X_16)) != converse(join(X_16,X_15))
| converse(top) != join(join(X_15,X_16),converse(complement(converse(join(X_15,X_16)))))
| converse(top) = join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_15,X_16),converse(complement(converse(join(X_15,X_16)))))) ),[1,1,0,0],$fot(converse(join(X_16,X_15)))]]) ).
cnf(refute_0_1726,plain,
( converse(top) != join(join(X_15,X_16),converse(complement(converse(join(X_15,X_16)))))
| converse(top) = join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,X_16)),converse(join(X_16,X_15))) )],[refute_0_584,refute_0_1725]) ).
cnf(refute_0_1727,plain,
converse(top) = join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_15,X_16),converse(complement(converse(join(X_15,X_16)))))) )],[refute_0_1724,refute_0_1726]) ).
cnf(refute_0_1728,plain,
join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))) = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_15)),bind(X1,$fot(X_16)),bind(X2,$fot(converse(complement(converse(join(X_16,X_15))))))]]) ).
cnf(refute_0_1729,plain,
( converse(top) != join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15)))))
| join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))) != join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))
| converse(top) = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))) ),[0],$fot(join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))))]]) ).
cnf(refute_0_1730,plain,
( converse(top) != join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15)))))
| converse(top) = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15))))),join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
converse(top) = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_15,X_16),converse(complement(converse(join(X_16,X_15)))))) )],[refute_0_1727,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( converse(top) != join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))
| converse(top) != top
| top = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1733,plain,
( converse(top) != join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))
| top = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_1732]) ).
cnf(refute_0_1734,plain,
top = join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_15,join(X_16,converse(complement(converse(join(X_16,X_15))))))) )],[refute_0_1731,refute_0_1733]) ).
cnf(refute_0_1735,plain,
top = join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1734:[bind(X_15,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_16,$fot(X_239))]]) ).
cnf(refute_0_1736,plain,
( top != join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_1737,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_1735,refute_0_1736]) ).
cnf(refute_0_1738,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) != top
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,top) = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))),join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1739,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,top) = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
join(skolemFOFtoCNF_X0,top) = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))),join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_1723,refute_0_1739]) ).
cnf(refute_0_1741,plain,
join(skolemFOFtoCNF_X0,top) = top,
inference(subst,[],[refute_0_1558:[bind(X_69,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1742,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,top) != top
| top = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1743,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
top = join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(one,join(X_239,converse(complement(converse(join(X_239,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_1740,refute_0_1743]) ).
cnf(refute_0_1745,plain,
top = join(one,join(zero,converse(complement(converse(join(zero,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1744:[bind(X_239,$fot(zero))]]) ).
cnf(refute_0_1746,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(zero,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1152:[bind(X_37,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1747,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(zero,meet(one,complement(skolemFOFtoCNF_X0)))
| join(zero,meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(zero,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1748,plain,
join(zero,meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(zero,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1746,refute_0_1747]) ).
cnf(refute_0_1749,plain,
( join(zero,meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| top != join(one,join(zero,converse(complement(converse(join(zero,meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(zero,converse(complement(converse(join(zero,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1,1,1,0,0,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1750,plain,
( top != join(one,join(zero,converse(complement(converse(join(zero,meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
top = join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(top,join(one,join(zero,converse(complement(converse(join(zero,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_1745,refute_0_1750]) ).
cnf(refute_0_1752,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_537:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1753,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_1754,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( $equal(converse(one),one) )],[refute_0_260,refute_0_1753]) ).
cnf(refute_0_1755,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_1752,refute_0_1754]) ).
cnf(refute_0_1756,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_1757,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1759,plain,
join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1760,plain,
join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1761,plain,
( join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1762,plain,
( join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1759,refute_0_1762]) ).
cnf(refute_0_1764,plain,
( join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1765,plain,
( join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_1763,refute_0_1764]) ).
cnf(refute_0_1766,plain,
join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_1758,refute_0_1765]) ).
cnf(refute_0_1767,plain,
( join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| top != join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1768,plain,
( top != join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_1766,refute_0_1767]) ).
cnf(refute_0_1769,plain,
top = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(top,join(one,join(zero,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_1751,refute_0_1768]) ).
cnf(refute_0_1770,plain,
( top != converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1771,plain,
converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_1769,refute_0_1770]) ).
cnf(refute_0_1772,plain,
( converse(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != top
| converse(top) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1773,plain,
( converse(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(top) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),top) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
converse(top) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1667,refute_0_1773]) ).
cnf(refute_0_1775,plain,
( converse(top) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(top) != top
| top = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1776,plain,
( converse(top) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| top = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_1775]) ).
cnf(refute_0_1777,plain,
top = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1774,refute_0_1776]) ).
cnf(refute_0_1778,plain,
( top != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1779,plain,
join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1777,refute_0_1778]) ).
cnf(refute_0_1780,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1781,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_1666,refute_0_1781]) ).
cnf(refute_0_1783,plain,
join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1784,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1785,plain,
join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))]]) ).
cnf(refute_0_1786,plain,
( join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) ),[1,1],$fot(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1787,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1784,refute_0_1787]) ).
cnf(refute_0_1789,plain,
join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))]]) ).
cnf(refute_0_1790,plain,
( complement(top) != zero
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1791,plain,
( complement(top) != zero
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) )],[refute_0_1789,refute_0_1790]) ).
cnf(refute_0_1792,plain,
join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_1791]) ).
cnf(refute_0_1793,plain,
( join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))
| join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))),bind(Y,$fot(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))),bind(Z,$fot(join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1794,plain,
( join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) )],[refute_0_1792,refute_0_1793]) ).
cnf(refute_0_1795,plain,
join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1788,refute_0_1794]) ).
cnf(refute_0_1796,plain,
( join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))),bind(Y,$fot(join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1797,plain,
( join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1783,refute_0_1797]) ).
cnf(refute_0_1799,plain,
join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) = join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_1800,plain,
( join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) != join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))
| join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))),bind(Z,$fot(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1801,plain,
( join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)),join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) )],[refute_0_1799,refute_0_1800]) ).
cnf(refute_0_1802,plain,
join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1798,refute_0_1801]) ).
cnf(refute_0_1803,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top))
| join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)))]]) ).
cnf(refute_0_1804,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top)),meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),one),complement(top))) )],[refute_0_1782,refute_0_1804]) ).
cnf(refute_0_1806,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1807,plain,
meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
( meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| one != join(one,composition(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))
| one = join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),[1,1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1809,plain,
( one != join(one,composition(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))
| one = join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
one = join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(one,join(one,composition(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) )],[refute_0_1665,refute_0_1809]) ).
cnf(refute_0_1811,plain,
( one != join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1812,plain,
join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(one,join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
( join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != top
| join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != one
| join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),top) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_1814,plain,
( join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != top
| join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),one) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(join(one,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),top) )],[refute_0_1595,refute_0_1814]) ).
cnf(refute_0_1816,plain,
converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_223:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_19,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1817,plain,
complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1818,plain,
( complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1819,plain,
( converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1816,refute_0_1819]) ).
cnf(refute_0_1821,plain,
join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1822,plain,
( complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1823,plain,
( complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1820,refute_0_1823]) ).
cnf(refute_0_1825,plain,
join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1826,plain,
( converse(one) != one
| join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1827,plain,
( converse(one) != one
| join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_1827]) ).
cnf(refute_0_1829,plain,
( join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1830,plain,
( join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1824,refute_0_1830]) ).
cnf(refute_0_1832,plain,
join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(X1,$fot(converse(one)))]]) ).
cnf(refute_0_1833,plain,
( join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) != join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)))),bind(Y,$fot(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1834,plain,
( join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)),join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_1832,refute_0_1833]) ).
cnf(refute_0_1835,plain,
join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) = join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1831,refute_0_1834]) ).
cnf(refute_0_1836,plain,
( join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) != join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) != top
| join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)),top) ),[0],$fot(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1837,plain,
( join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)) != top
| join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)),join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1835,refute_0_1836]) ).
cnf(refute_0_1838,plain,
join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(one)),top) )],[refute_0_1815,refute_0_1837]) ).
cnf(refute_0_1839,plain,
( join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != top
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1840,plain,
( meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(one,complement(composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_1176,refute_0_1840]) ).
cnf(refute_0_1842,plain,
( complement(top) != zero
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(top)
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1843,plain,
( meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(top)
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_1842]) ).
cnf(refute_0_1844,plain,
meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(top)) )],[refute_0_1841,refute_0_1843]) ).
cnf(refute_0_1845,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != zero
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_1846,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_1844,refute_0_1845]) ).
cnf(refute_0_1847,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1080,refute_0_1846]) ).
cnf(refute_0_1848,plain,
join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1849,plain,
join(X0,join(X_56,complement(join(complement(X_56),composition(X_56,top))))) = join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),
inference(subst,[],[refute_0_661:[bind(X_57,$fot(complement(join(complement(X_56),composition(X_56,top)))))]]) ).
cnf(refute_0_1850,plain,
X_37 = join(meet(X_37,composition(X_37,top)),complement(join(composition(X_37,top),complement(X_37)))),
inference(subst,[],[refute_0_1513:[bind(X_38,$fot(composition(X_37,top)))]]) ).
cnf(refute_0_1851,plain,
X_37 = join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0))))))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(converse(join(X0,complement(join(converse(complement(X_37)),X0))))))]]) ).
cnf(refute_0_1852,plain,
converse(top) = join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0))))),
inference(subst,[],[refute_0_567:[bind(X_4,$fot(complement(X_37)))]]) ).
cnf(refute_0_1853,plain,
( converse(top) != join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))
| join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))]]) ).
cnf(refute_0_1854,plain,
join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) )],[refute_0_1852,refute_0_1853]) ).
cnf(refute_0_1855,plain,
( X_37 != join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))
| join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0))))) != converse(top)
| X_37 = join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1856,plain,
( X_37 != join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))
| X_37 = join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0))))),converse(top)) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
X_37 = join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(join(complement(X_37),converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))) )],[refute_0_1851,refute_0_1856]) ).
cnf(refute_0_1858,plain,
join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))) = join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))]]) ).
cnf(refute_0_1859,plain,
( X_37 != join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top)))
| join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))) != join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| X_37 = join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) ),[0],$fot(join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))))]]) ).
cnf(refute_0_1860,plain,
( X_37 != join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top)))
| X_37 = join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top))),join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) )],[refute_0_1858,refute_0_1859]) ).
cnf(refute_0_1861,plain,
X_37 = join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),complement(converse(top)))) )],[refute_0_1857,refute_0_1860]) ).
cnf(refute_0_1862,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_1863,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1864,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_1862,refute_0_1863]) ).
cnf(refute_0_1865,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_1864]) ).
cnf(refute_0_1866,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1867,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_1865,refute_0_1866]) ).
cnf(refute_0_1868,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_1867]) ).
cnf(refute_0_1869,plain,
join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) = join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))]]) ).
cnf(refute_0_1870,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) != join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) = join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1871,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) = join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) )],[refute_0_1869,refute_0_1870]) ).
cnf(refute_0_1872,plain,
join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) = join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1868,refute_0_1871]) ).
cnf(refute_0_1873,plain,
( X_37 != join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) != join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| X_37 = join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) ),[0],$fot(join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))]]) ).
cnf(refute_0_1874,plain,
( X_37 != join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| X_37 = join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) )],[refute_0_1872,refute_0_1873]) ).
cnf(refute_0_1875,plain,
X_37 = join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),
inference(resolve,[$cnf( $equal(X_37,join(complement(converse(top)),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) )],[refute_0_1861,refute_0_1874]) ).
cnf(refute_0_1876,plain,
join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) = meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))]]) ).
cnf(refute_0_1877,plain,
( X_37 != join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) != meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))
| X_37 = meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),[0],$fot(join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))))]]) ).
cnf(refute_0_1878,plain,
( X_37 != join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))
| X_37 = meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
X_37 = meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),
inference(resolve,[$cnf( $equal(X_37,join(zero,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))) )],[refute_0_1875,refute_0_1878]) ).
cnf(refute_0_1880,plain,
join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) = join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))),
inference(subst,[],[refute_0_1636:[bind(X1,$fot(complement(X_420))),bind(X2,$fot(meet(X_420,converse(complement(converse(X_420))))))]]) ).
cnf(refute_0_1881,plain,
converse(complement(converse(X_318))) = join(meet(complement(X_318),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318))))),
inference(subst,[],[refute_0_1077:[bind(X_89,$fot(complement(X_318))),bind(X_90,$fot(converse(complement(converse(X_318)))))]]) ).
cnf(refute_0_1882,plain,
X_37 = join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37)))))))),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_37)),bind(X1,$fot(converse(join(zero,complement(converse(complement(X_37)))))))]]) ).
cnf(refute_0_1883,plain,
converse(top) = join(complement(X_37),converse(join(zero,complement(converse(complement(X_37)))))),
inference(subst,[],[refute_0_611:[bind(X_27,$fot(complement(X_37)))]]) ).
cnf(refute_0_1884,plain,
( converse(top) != join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))
| join(complement(X_37),converse(join(zero,complement(converse(complement(X_37)))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))))]]) ).
cnf(refute_0_1885,plain,
join(complement(X_37),converse(join(zero,complement(converse(complement(X_37)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( X_37 != join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))))
| join(complement(X_37),converse(join(zero,complement(converse(complement(X_37)))))) != converse(top)
| X_37 = join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1887,plain,
( X_37 != join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))))
| X_37 = join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37)))))),converse(top)) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
X_37 = join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(join(complement(X_37),converse(join(zero,complement(converse(complement(X_37))))))))) )],[refute_0_1882,refute_0_1887]) ).
cnf(refute_0_1889,plain,
join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))) = join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37))))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_37,converse(join(zero,complement(converse(complement(X_37))))))))]]) ).
cnf(refute_0_1890,plain,
( X_37 != join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top)))
| join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))) != join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))))
| X_37 = join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))))) ),[0],$fot(join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))))]]) ).
cnf(refute_0_1891,plain,
( X_37 != join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top)))
| X_37 = join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top))),join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))))) )],[refute_0_1889,refute_0_1890]) ).
cnf(refute_0_1892,plain,
X_37 = join(complement(converse(top)),meet(X_37,converse(join(zero,complement(converse(complement(X_37))))))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,converse(join(zero,complement(converse(complement(X_37)))))),complement(converse(top)))) )],[refute_0_1888,refute_0_1891]) ).
cnf(refute_0_1893,plain,
join(zero,complement(X1)) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(complement(join(zero,complement(X1))))))))),
inference(subst,[],[refute_0_1892:[bind(X_37,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_1894,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(complement(join(zero,complement(X1)))))))))
| join(zero,complement(X1)) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(complement(join(zero,complement(X1)))))))))) ),[1,1,1,0,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_1895,plain,
( join(zero,complement(X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(complement(join(zero,complement(X1)))))))))
| join(zero,complement(X1)) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_174,refute_0_1894]) ).
cnf(refute_0_1896,plain,
join(zero,complement(X1)) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(complement(join(zero,complement(X1)))))))))) )],[refute_0_1893,refute_0_1895]) ).
cnf(refute_0_1897,plain,
( join(zero,complement(X1)) != complement(meet(top,X1))
| join(zero,complement(X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))) ),[0],$fot(complement(meet(top,X1)))]]) ).
cnf(refute_0_1898,plain,
( join(zero,complement(X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(meet(top,X1))) )],[refute_0_455,refute_0_1897]) ).
cnf(refute_0_1899,plain,
join(zero,complement(converse(meet(top,X1)))) = complement(meet(top,converse(meet(top,X1)))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(converse(meet(top,X1))))]]) ).
cnf(refute_0_1900,plain,
converse(join(zero,complement(converse(meet(top,X1))))) = converse(join(zero,complement(converse(meet(top,X1))))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(converse(meet(top,X1))))))]]) ).
cnf(refute_0_1901,plain,
( converse(join(zero,complement(converse(meet(top,X1))))) != converse(join(zero,complement(converse(meet(top,X1)))))
| join(zero,complement(converse(meet(top,X1)))) != complement(meet(top,converse(meet(top,X1))))
| converse(join(zero,complement(converse(meet(top,X1))))) = converse(complement(meet(top,converse(meet(top,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(converse(meet(top,X1))))),converse(join(zero,complement(converse(meet(top,X1)))))) ),[1,0],$fot(complement(meet(top,converse(meet(top,X1)))))]]) ).
cnf(refute_0_1902,plain,
( join(zero,complement(converse(meet(top,X1)))) != complement(meet(top,converse(meet(top,X1))))
| converse(join(zero,complement(converse(meet(top,X1))))) = converse(complement(meet(top,converse(meet(top,X1))))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(meet(top,X1))))),converse(join(zero,complement(converse(meet(top,X1)))))) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
converse(join(zero,complement(converse(meet(top,X1))))) = converse(complement(meet(top,converse(meet(top,X1))))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(meet(top,X1)))),complement(meet(top,converse(meet(top,X1))))) )],[refute_0_1899,refute_0_1902]) ).
cnf(refute_0_1904,plain,
meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1905,plain,
( converse(join(zero,complement(converse(meet(top,X1))))) != converse(complement(meet(top,converse(meet(top,X1)))))
| meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1))))))
| meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1))))))) ),[1,1],$fot(converse(complement(meet(top,converse(meet(top,X1))))))]]) ).
cnf(refute_0_1906,plain,
( converse(join(zero,complement(converse(meet(top,X1))))) != converse(complement(meet(top,converse(meet(top,X1)))))
| meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1))))))) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(meet(top,X1))))),converse(complement(meet(top,converse(meet(top,X1)))))) )],[refute_0_1903,refute_0_1906]) ).
cnf(refute_0_1908,plain,
meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1909,plain,
( join(zero,complement(X1)) != complement(meet(top,X1))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) ),[1,0],$fot(complement(meet(top,X1)))]]) ).
cnf(refute_0_1910,plain,
( join(zero,complement(X1)) != complement(meet(top,X1))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) )],[refute_0_1908,refute_0_1909]) ).
cnf(refute_0_1911,plain,
meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(meet(top,X1))) )],[refute_0_455,refute_0_1910]) ).
cnf(refute_0_1912,plain,
( meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1))))))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))),bind(Y,$fot(meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))))),bind(Z,$fot(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1913,plain,
( meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1))))))) )],[refute_0_1911,refute_0_1912]) ).
cnf(refute_0_1914,plain,
meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) )],[refute_0_1907,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) = join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1916,plain,
( join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))
| meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))
| join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))) ),[1,1],$fot(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1917,plain,
( meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))
| join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))) )],[refute_0_1915,refute_0_1916]) ).
cnf(refute_0_1918,plain,
join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) )],[refute_0_1914,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( complement(meet(top,X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))
| join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))) != join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(top,X1)),join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) ),[0],$fot(join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1920,plain,
( complement(meet(top,X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1))))))),join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
( join(zero,complement(X1)) != join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X1)),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))) )],[refute_0_1898,refute_0_1920]) ).
cnf(refute_0_1922,plain,
complement(meet(top,X1)) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(converse(top)),meet(join(zero,complement(X1)),converse(join(zero,complement(converse(meet(top,X1)))))))) )],[refute_0_1896,refute_0_1921]) ).
cnf(refute_0_1923,plain,
join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1924,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) != join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1925,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1868,refute_0_1925]) ).
cnf(refute_0_1927,plain,
( complement(meet(top,X1)) != join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) != join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(top,X1)),join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) ),[0],$fot(join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1928,plain,
( complement(meet(top,X1)) != join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(meet(top,X1)) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) )],[refute_0_1926,refute_0_1927]) ).
cnf(refute_0_1929,plain,
complement(meet(top,X1)) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),
inference(resolve,[$cnf( $equal(complement(meet(top,X1)),join(complement(converse(top)),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) )],[refute_0_1922,refute_0_1928]) ).
cnf(refute_0_1930,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(complement(X1)))]]) ).
cnf(refute_0_1931,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != complement(meet(top,X1))
| complement(X1) = complement(meet(top,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),complement(meet(top,X1))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_1932,plain,
( join(zero,complement(X1)) != complement(meet(top,X1))
| complement(X1) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_1930,refute_0_1931]) ).
cnf(refute_0_1933,plain,
complement(X1) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(meet(top,X1))) )],[refute_0_455,refute_0_1932]) ).
cnf(refute_0_1934,plain,
( complement(X1) != complement(meet(top,X1))
| complement(meet(top,X1)) = complement(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X1))),bind(Y,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_1935,plain,
complement(meet(top,X1)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),complement(meet(top,X1))) )],[refute_0_1933,refute_0_1934]) ).
cnf(refute_0_1936,plain,
( complement(meet(top,X1)) != complement(X1)
| complement(meet(top,X1)) != join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(X1) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X1)),join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_1937,plain,
( complement(meet(top,X1)) != join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(X1) = join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X1)),complement(X1)) )],[refute_0_1935,refute_0_1936]) ).
cnf(refute_0_1938,plain,
complement(meet(top,converse(meet(top,X1)))) = complement(converse(meet(top,X1))),
inference(subst,[],[refute_0_1935:[bind(X1,$fot(converse(meet(top,X1))))]]) ).
cnf(refute_0_1939,plain,
converse(complement(meet(top,converse(meet(top,X1))))) = converse(complement(meet(top,converse(meet(top,X1))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(top,converse(meet(top,X1))))))]]) ).
cnf(refute_0_1940,plain,
( complement(meet(top,converse(meet(top,X1)))) != complement(converse(meet(top,X1)))
| converse(complement(meet(top,converse(meet(top,X1))))) != converse(complement(meet(top,converse(meet(top,X1)))))
| converse(complement(meet(top,converse(meet(top,X1))))) = converse(complement(converse(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(top,converse(meet(top,X1))))),converse(complement(meet(top,converse(meet(top,X1)))))) ),[1,0],$fot(complement(converse(meet(top,X1))))]]) ).
cnf(refute_0_1941,plain,
( complement(meet(top,converse(meet(top,X1)))) != complement(converse(meet(top,X1)))
| converse(complement(meet(top,converse(meet(top,X1))))) = converse(complement(converse(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(top,converse(meet(top,X1))))),converse(complement(meet(top,converse(meet(top,X1)))))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
converse(complement(meet(top,converse(meet(top,X1))))) = converse(complement(converse(meet(top,X1)))),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(meet(top,X1)))),complement(converse(meet(top,X1)))) )],[refute_0_1938,refute_0_1941]) ).
cnf(refute_0_1943,plain,
meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))),
introduced(tautology,[refl,[$fot(meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1944,plain,
( converse(complement(meet(top,converse(meet(top,X1))))) != converse(complement(converse(meet(top,X1))))
| meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1))))))
| meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1))))))) ),[1,1],$fot(converse(complement(converse(meet(top,X1)))))]]) ).
cnf(refute_0_1945,plain,
( converse(complement(meet(top,converse(meet(top,X1))))) != converse(complement(converse(meet(top,X1))))
| meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1))))))) )],[refute_0_1943,refute_0_1944]) ).
cnf(refute_0_1946,plain,
meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(top,converse(meet(top,X1))))),converse(complement(converse(meet(top,X1))))) )],[refute_0_1942,refute_0_1945]) ).
cnf(refute_0_1947,plain,
meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1948,plain,
( complement(meet(top,X1)) != complement(X1)
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_1949,plain,
( complement(meet(top,X1)) != complement(X1)
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) )],[refute_0_1947,refute_0_1948]) ).
cnf(refute_0_1950,plain,
meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))),
inference(resolve,[$cnf( $equal(complement(meet(top,X1)),complement(X1)) )],[refute_0_1935,refute_0_1949]) ).
cnf(refute_0_1951,plain,
( meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1))))))
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))),bind(Y,$fot(meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))))),bind(Z,$fot(meet(complement(X1),converse(complement(converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1952,plain,
( meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1))))))) )],[refute_0_1950,refute_0_1951]) ).
cnf(refute_0_1953,plain,
meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))),
inference(resolve,[$cnf( $equal(meet(complement(X1),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) )],[refute_0_1946,refute_0_1952]) ).
cnf(refute_0_1954,plain,
join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1955,plain,
( join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) != meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))
| meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))))),bind(Y,$fot(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))),bind(Z,$fot(meet(complement(X1),converse(complement(converse(meet(top,X1)))))))]]) ).
cnf(refute_0_1956,plain,
( meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) )],[refute_0_1954,refute_0_1955]) ).
cnf(refute_0_1957,plain,
join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) )],[refute_0_1953,refute_0_1956]) ).
cnf(refute_0_1958,plain,
( complement(X1) != join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| complement(X1) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) ),[0],$fot(join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))))]]) ).
cnf(refute_0_1959,plain,
( complement(X1) != join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(X1) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1))))))),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
( complement(meet(top,X1)) != join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))
| complement(X1) = meet(complement(X1),converse(complement(converse(meet(top,X1))))) ),
inference(resolve,[$cnf( $equal(complement(X1),join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) )],[refute_0_1937,refute_0_1959]) ).
cnf(refute_0_1961,plain,
complement(X1) = meet(complement(X1),converse(complement(converse(meet(top,X1))))),
inference(resolve,[$cnf( $equal(complement(meet(top,X1)),join(zero,meet(complement(meet(top,X1)),converse(complement(meet(top,converse(meet(top,X1)))))))) )],[refute_0_1929,refute_0_1960]) ).
cnf(refute_0_1962,plain,
( X_50 != meet(top,X_50)
| meet(top,X_50) = X_50 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_50)),bind(Y,$fot(meet(top,X_50)))]]) ).
cnf(refute_0_1963,plain,
meet(top,X_50) = X_50,
inference(resolve,[$cnf( $equal(X_50,meet(top,X_50)) )],[refute_0_1158,refute_0_1962]) ).
cnf(refute_0_1964,plain,
meet(top,X1) = X1,
inference(subst,[],[refute_0_1963:[bind(X_50,$fot(X1))]]) ).
cnf(refute_0_1965,plain,
converse(meet(top,X1)) = converse(meet(top,X1)),
introduced(tautology,[refl,[$fot(converse(meet(top,X1)))]]) ).
cnf(refute_0_1966,plain,
( converse(meet(top,X1)) != converse(meet(top,X1))
| meet(top,X1) != X1
| converse(meet(top,X1)) = converse(X1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(top,X1)),converse(meet(top,X1))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1967,plain,
( meet(top,X1) != X1
| converse(meet(top,X1)) = converse(X1) ),
inference(resolve,[$cnf( $equal(converse(meet(top,X1)),converse(meet(top,X1))) )],[refute_0_1965,refute_0_1966]) ).
cnf(refute_0_1968,plain,
converse(meet(top,X1)) = converse(X1),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_1964,refute_0_1967]) ).
cnf(refute_0_1969,plain,
complement(converse(meet(top,X1))) = complement(converse(meet(top,X1))),
introduced(tautology,[refl,[$fot(complement(converse(meet(top,X1))))]]) ).
cnf(refute_0_1970,plain,
( complement(converse(meet(top,X1))) != complement(converse(meet(top,X1)))
| converse(meet(top,X1)) != converse(X1)
| complement(converse(meet(top,X1))) = complement(converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(top,X1))),complement(converse(meet(top,X1)))) ),[1,0],$fot(converse(X1))]]) ).
cnf(refute_0_1971,plain,
( converse(meet(top,X1)) != converse(X1)
| complement(converse(meet(top,X1))) = complement(converse(X1)) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(top,X1))),complement(converse(meet(top,X1)))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
complement(converse(meet(top,X1))) = complement(converse(X1)),
inference(resolve,[$cnf( $equal(converse(meet(top,X1)),converse(X1)) )],[refute_0_1968,refute_0_1971]) ).
cnf(refute_0_1973,plain,
converse(complement(converse(meet(top,X1)))) = converse(complement(converse(meet(top,X1)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(meet(top,X1)))))]]) ).
cnf(refute_0_1974,plain,
( complement(converse(meet(top,X1))) != complement(converse(X1))
| converse(complement(converse(meet(top,X1)))) != converse(complement(converse(meet(top,X1))))
| converse(complement(converse(meet(top,X1)))) = converse(complement(converse(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(meet(top,X1)))),converse(complement(converse(meet(top,X1))))) ),[1,0],$fot(complement(converse(X1)))]]) ).
cnf(refute_0_1975,plain,
( complement(converse(meet(top,X1))) != complement(converse(X1))
| converse(complement(converse(meet(top,X1)))) = converse(complement(converse(X1))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(top,X1)))),converse(complement(converse(meet(top,X1))))) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
converse(complement(converse(meet(top,X1)))) = converse(complement(converse(X1))),
inference(resolve,[$cnf( $equal(complement(converse(meet(top,X1))),complement(converse(X1))) )],[refute_0_1972,refute_0_1975]) ).
cnf(refute_0_1977,plain,
meet(complement(X1),converse(complement(converse(meet(top,X1))))) = meet(complement(X1),converse(complement(converse(meet(top,X1))))),
introduced(tautology,[refl,[$fot(meet(complement(X1),converse(complement(converse(meet(top,X1))))))]]) ).
cnf(refute_0_1978,plain,
( converse(complement(converse(meet(top,X1)))) != converse(complement(converse(X1)))
| meet(complement(X1),converse(complement(converse(meet(top,X1))))) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| meet(complement(X1),converse(complement(converse(meet(top,X1))))) = meet(complement(X1),converse(complement(converse(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X1),converse(complement(converse(meet(top,X1))))),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) ),[1,1],$fot(converse(complement(converse(X1))))]]) ).
cnf(refute_0_1979,plain,
( converse(complement(converse(meet(top,X1)))) != converse(complement(converse(X1)))
| meet(complement(X1),converse(complement(converse(meet(top,X1))))) = meet(complement(X1),converse(complement(converse(X1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X1),converse(complement(converse(meet(top,X1))))),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
meet(complement(X1),converse(complement(converse(meet(top,X1))))) = meet(complement(X1),converse(complement(converse(X1)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(top,X1)))),converse(complement(converse(X1)))) )],[refute_0_1976,refute_0_1979]) ).
cnf(refute_0_1981,plain,
( complement(X1) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| meet(complement(X1),converse(complement(converse(meet(top,X1))))) != meet(complement(X1),converse(complement(converse(X1))))
| complement(X1) = meet(complement(X1),converse(complement(converse(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),meet(complement(X1),converse(complement(converse(X1))))) ),[0],$fot(meet(complement(X1),converse(complement(converse(meet(top,X1))))))]]) ).
cnf(refute_0_1982,plain,
( complement(X1) != meet(complement(X1),converse(complement(converse(meet(top,X1)))))
| complement(X1) = meet(complement(X1),converse(complement(converse(X1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X1),converse(complement(converse(meet(top,X1))))),meet(complement(X1),converse(complement(converse(X1))))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
complement(X1) = meet(complement(X1),converse(complement(converse(X1)))),
inference(resolve,[$cnf( $equal(complement(X1),meet(complement(X1),converse(complement(converse(meet(top,X1)))))) )],[refute_0_1961,refute_0_1982]) ).
cnf(refute_0_1984,plain,
complement(X_318) = meet(complement(X_318),converse(complement(converse(X_318)))),
inference(subst,[],[refute_0_1983:[bind(X1,$fot(X_318))]]) ).
cnf(refute_0_1985,plain,
( complement(X_318) != meet(complement(X_318),converse(complement(converse(X_318))))
| meet(complement(X_318),converse(complement(converse(X_318)))) = complement(X_318) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_318))),bind(Y,$fot(meet(complement(X_318),converse(complement(converse(X_318))))))]]) ).
cnf(refute_0_1986,plain,
meet(complement(X_318),converse(complement(converse(X_318)))) = complement(X_318),
inference(resolve,[$cnf( $equal(complement(X_318),meet(complement(X_318),converse(complement(converse(X_318))))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
( converse(complement(converse(X_318))) != join(meet(complement(X_318),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))
| meet(complement(X_318),converse(complement(converse(X_318)))) != complement(X_318)
| converse(complement(converse(X_318))) = join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X_318))),join(meet(complement(X_318),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))) ),[1,0],$fot(complement(X_318))]]) ).
cnf(refute_0_1988,plain,
( converse(complement(converse(X_318))) != join(meet(complement(X_318),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))
| converse(complement(converse(X_318))) = join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_318),converse(complement(converse(X_318)))),complement(X_318)) )],[refute_0_1986,refute_0_1987]) ).
cnf(refute_0_1989,plain,
converse(complement(converse(X_318))) = join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_318))),join(meet(complement(X_318),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))) )],[refute_0_1881,refute_0_1988]) ).
cnf(refute_0_1990,plain,
complement(complement(X_318)) = X_318,
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(X_318))]]) ).
cnf(refute_0_1991,plain,
meet(complement(complement(X_318)),converse(complement(converse(X_318)))) = meet(complement(complement(X_318)),converse(complement(converse(X_318)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_318)),converse(complement(converse(X_318)))))]]) ).
cnf(refute_0_1992,plain,
( complement(complement(X_318)) != X_318
| meet(complement(complement(X_318)),converse(complement(converse(X_318)))) != meet(complement(complement(X_318)),converse(complement(converse(X_318))))
| meet(complement(complement(X_318)),converse(complement(converse(X_318)))) = meet(X_318,converse(complement(converse(X_318)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_318)),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) ),[1,0],$fot(X_318)]]) ).
cnf(refute_0_1993,plain,
( complement(complement(X_318)) != X_318
| meet(complement(complement(X_318)),converse(complement(converse(X_318)))) = meet(X_318,converse(complement(converse(X_318)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_318)),converse(complement(converse(X_318)))),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) )],[refute_0_1991,refute_0_1992]) ).
cnf(refute_0_1994,plain,
meet(complement(complement(X_318)),converse(complement(converse(X_318)))) = meet(X_318,converse(complement(converse(X_318)))),
inference(resolve,[$cnf( $equal(complement(complement(X_318)),X_318) )],[refute_0_1990,refute_0_1993]) ).
cnf(refute_0_1995,plain,
join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) = join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))),
introduced(tautology,[refl,[$fot(join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))))]]) ).
cnf(refute_0_1996,plain,
( join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) != join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))
| meet(complement(complement(X_318)),converse(complement(converse(X_318)))) != meet(X_318,converse(complement(converse(X_318))))
| join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) = join(complement(X_318),meet(X_318,converse(complement(converse(X_318))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))),join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))) ),[1,1],$fot(meet(X_318,converse(complement(converse(X_318)))))]]) ).
cnf(refute_0_1997,plain,
( meet(complement(complement(X_318)),converse(complement(converse(X_318)))) != meet(X_318,converse(complement(converse(X_318))))
| join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) = join(complement(X_318),meet(X_318,converse(complement(converse(X_318))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))),join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))) )],[refute_0_1995,refute_0_1996]) ).
cnf(refute_0_1998,plain,
join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) = join(complement(X_318),meet(X_318,converse(complement(converse(X_318))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_318)),converse(complement(converse(X_318)))),meet(X_318,converse(complement(converse(X_318))))) )],[refute_0_1994,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( converse(complement(converse(X_318))) != join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))
| join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))) != join(complement(X_318),meet(X_318,converse(complement(converse(X_318)))))
| converse(complement(converse(X_318))) = join(complement(X_318),meet(X_318,converse(complement(converse(X_318))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_318))),join(complement(X_318),meet(X_318,converse(complement(converse(X_318)))))) ),[0],$fot(join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))))]]) ).
cnf(refute_0_2000,plain,
( converse(complement(converse(X_318))) != join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))
| converse(complement(converse(X_318))) = join(complement(X_318),meet(X_318,converse(complement(converse(X_318))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318))))),join(complement(X_318),meet(X_318,converse(complement(converse(X_318)))))) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
converse(complement(converse(X_318))) = join(complement(X_318),meet(X_318,converse(complement(converse(X_318))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_318))),join(complement(X_318),meet(complement(complement(X_318)),converse(complement(converse(X_318)))))) )],[refute_0_1989,refute_0_2000]) ).
cnf(refute_0_2002,plain,
converse(complement(converse(X_420))) = join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))),
inference(subst,[],[refute_0_2001:[bind(X_318,$fot(X_420))]]) ).
cnf(refute_0_2003,plain,
( converse(complement(converse(X_420))) != join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))
| join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))) = converse(complement(converse(X_420))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(X_420))))),bind(Y,$fot(join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))))]]) ).
cnf(refute_0_2004,plain,
join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))) = converse(complement(converse(X_420))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_420))),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) )],[refute_0_2002,refute_0_2003]) ).
cnf(refute_0_2005,plain,
( join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) != join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))
| join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))) != converse(complement(converse(X_420)))
| join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) = converse(complement(converse(X_420))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))),converse(complement(converse(X_420)))) ),[0],$fot(join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))))]]) ).
cnf(refute_0_2006,plain,
( join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) != join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))
| join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) = converse(complement(converse(X_420))) ),
inference(resolve,[$cnf( $equal(join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))),converse(complement(converse(X_420)))) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) = converse(complement(converse(X_420))),
inference(resolve,[$cnf( $equal(join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) )],[refute_0_1880,refute_0_2006]) ).
cnf(refute_0_2008,plain,
join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) = join(X_56,join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))),
inference(subst,[],[refute_0_661:[bind(X0,$fot(meet(X_420,converse(complement(converse(X_420)))))),bind(X_57,$fot(complement(X_420)))]]) ).
cnf(refute_0_2009,plain,
( join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))) != converse(complement(converse(X_420)))
| join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) != join(X_56,join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))))
| join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) = join(X_56,converse(complement(converse(X_420)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))),join(X_56,join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))))) ),[1,1],$fot(converse(complement(converse(X_420))))]]) ).
cnf(refute_0_2010,plain,
( join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) != join(X_56,join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))))
| join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) = join(X_56,converse(complement(converse(X_420)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))),converse(complement(converse(X_420)))) )],[refute_0_2004,refute_0_2009]) ).
cnf(refute_0_2011,plain,
join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) = join(X_56,converse(complement(converse(X_420)))),
inference(resolve,[$cnf( $equal(join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))),join(X_56,join(complement(X_420),meet(X_420,converse(complement(converse(X_420))))))) )],[refute_0_2008,refute_0_2010]) ).
cnf(refute_0_2012,plain,
join(X_325,join(X_326,X_327)) = join(X_326,join(X_327,X_325)),
inference(subst,[],[refute_0_661:[bind(X0,$fot(X_325)),bind(X_56,$fot(X_326)),bind(X_57,$fot(X_327))]]) ).
cnf(refute_0_2013,plain,
join(X_327,X_326) = join(X_326,X_327),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_327)),bind(X1,$fot(X_326))]]) ).
cnf(refute_0_2014,plain,
( join(X_327,X_326) != join(X_326,X_327)
| join(X_326,X_327) = join(X_327,X_326) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_327,X_326))),bind(Y,$fot(join(X_326,X_327)))]]) ).
cnf(refute_0_2015,plain,
join(X_326,X_327) = join(X_327,X_326),
inference(resolve,[$cnf( $equal(join(X_327,X_326),join(X_326,X_327)) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
( join(X_325,join(X_326,X_327)) != join(X_326,join(X_327,X_325))
| join(X_326,X_327) != join(X_327,X_326)
| join(X_325,join(X_327,X_326)) = join(X_326,join(X_327,X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_325,join(X_326,X_327)),join(X_326,join(X_327,X_325))) ),[0,1],$fot(join(X_327,X_326))]]) ).
cnf(refute_0_2017,plain,
( join(X_325,join(X_326,X_327)) != join(X_326,join(X_327,X_325))
| join(X_325,join(X_327,X_326)) = join(X_326,join(X_327,X_325)) ),
inference(resolve,[$cnf( $equal(join(X_326,X_327),join(X_327,X_326)) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
join(X_325,join(X_327,X_326)) = join(X_326,join(X_327,X_325)),
inference(resolve,[$cnf( $equal(join(X_325,join(X_326,X_327)),join(X_326,join(X_327,X_325))) )],[refute_0_2012,refute_0_2017]) ).
cnf(refute_0_2019,plain,
( join(X_325,join(X_327,X_326)) != join(X_326,join(X_327,X_325))
| join(X_326,join(X_327,X_325)) = join(X_325,join(X_327,X_326)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_325,join(X_327,X_326)))),bind(Y,$fot(join(X_326,join(X_327,X_325))))]]) ).
cnf(refute_0_2020,plain,
join(X_326,join(X_327,X_325)) = join(X_325,join(X_327,X_326)),
inference(resolve,[$cnf( $equal(join(X_325,join(X_327,X_326)),join(X_326,join(X_327,X_325))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) = join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420)))))),
inference(subst,[],[refute_0_2020:[bind(X_325,$fot(complement(X_420))),bind(X_326,$fot(meet(X_420,converse(complement(converse(X_420)))))),bind(X_327,$fot(X_56))]]) ).
cnf(refute_0_2022,plain,
( join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) != join(X_56,converse(complement(converse(X_420))))
| join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) != join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420))))))
| join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420)))))) = join(X_56,converse(complement(converse(X_420)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))),join(X_56,converse(complement(converse(X_420))))) ),[0],$fot(join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420)))))))]]) ).
cnf(refute_0_2023,plain,
( join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))) != join(X_56,converse(complement(converse(X_420))))
| join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420)))))) = join(X_56,converse(complement(converse(X_420)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))),join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420))))))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
join(complement(X_420),join(X_56,meet(X_420,converse(complement(converse(X_420)))))) = join(X_56,converse(complement(converse(X_420)))),
inference(resolve,[$cnf( $equal(join(meet(X_420,converse(complement(converse(X_420)))),join(X_56,complement(X_420))),join(X_56,converse(complement(converse(X_420))))) )],[refute_0_2011,refute_0_2023]) ).
cnf(refute_0_2025,plain,
join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) = join(complement(X_420),converse(complement(converse(X_420)))),
inference(subst,[],[refute_0_2024:[bind(X_56,$fot(complement(X_420)))]]) ).
cnf(refute_0_2026,plain,
( join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) != converse(complement(converse(X_420)))
| join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) != join(complement(X_420),converse(complement(converse(X_420))))
| join(complement(X_420),converse(complement(converse(X_420)))) = converse(complement(converse(X_420))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))),converse(complement(converse(X_420)))) ),[0],$fot(join(complement(X_420),converse(complement(converse(X_420)))))]]) ).
cnf(refute_0_2027,plain,
( join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))) != converse(complement(converse(X_420)))
| join(complement(X_420),converse(complement(converse(X_420)))) = converse(complement(converse(X_420))) ),
inference(resolve,[$cnf( $equal(join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))),join(complement(X_420),converse(complement(converse(X_420))))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
join(complement(X_420),converse(complement(converse(X_420)))) = converse(complement(converse(X_420))),
inference(resolve,[$cnf( $equal(join(complement(X_420),join(complement(X_420),meet(X_420,converse(complement(converse(X_420)))))),converse(complement(converse(X_420)))) )],[refute_0_2007,refute_0_2027]) ).
cnf(refute_0_2029,plain,
join(complement(converse(X0)),converse(complement(converse(converse(X0))))) = converse(complement(converse(converse(X0)))),
inference(subst,[],[refute_0_2028:[bind(X_420,$fot(converse(X0)))]]) ).
cnf(refute_0_2030,plain,
( converse(converse(X0)) != X0
| join(complement(converse(X0)),converse(complement(converse(converse(X0))))) != converse(complement(converse(converse(X0))))
| join(complement(converse(X0)),converse(complement(X0))) = converse(complement(converse(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),converse(complement(converse(converse(X0))))),converse(complement(converse(converse(X0))))) ),[0,1,0,0],$fot(X0)]]) ).
cnf(refute_0_2031,plain,
( join(complement(converse(X0)),converse(complement(converse(converse(X0))))) != converse(complement(converse(converse(X0))))
| join(complement(converse(X0)),converse(complement(X0))) = converse(complement(converse(converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_2030]) ).
cnf(refute_0_2032,plain,
join(complement(converse(X0)),converse(complement(X0))) = converse(complement(converse(converse(X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),converse(complement(converse(converse(X0))))),converse(complement(converse(converse(X0))))) )],[refute_0_2029,refute_0_2031]) ).
cnf(refute_0_2033,plain,
converse(join(converse(complement(converse(X_421))),complement(X_421))) = converse(join(complement(X_421),converse(complement(converse(X_421))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(converse(complement(converse(X_421))))),bind(X1,$fot(complement(X_421)))]]) ).
cnf(refute_0_2034,plain,
join(complement(X_421),converse(complement(converse(X_421)))) = converse(complement(converse(X_421))),
inference(subst,[],[refute_0_2028:[bind(X_420,$fot(X_421))]]) ).
cnf(refute_0_2035,plain,
( converse(join(converse(complement(converse(X_421))),complement(X_421))) != converse(join(complement(X_421),converse(complement(converse(X_421)))))
| join(complement(X_421),converse(complement(converse(X_421)))) != converse(complement(converse(X_421)))
| converse(join(converse(complement(converse(X_421))),complement(X_421))) = converse(converse(complement(converse(X_421)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(X_421))),complement(X_421))),converse(join(complement(X_421),converse(complement(converse(X_421)))))) ),[1,0],$fot(converse(complement(converse(X_421))))]]) ).
cnf(refute_0_2036,plain,
( converse(join(converse(complement(converse(X_421))),complement(X_421))) != converse(join(complement(X_421),converse(complement(converse(X_421)))))
| converse(join(converse(complement(converse(X_421))),complement(X_421))) = converse(converse(complement(converse(X_421)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_421),converse(complement(converse(X_421)))),converse(complement(converse(X_421)))) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
converse(join(converse(complement(converse(X_421))),complement(X_421))) = converse(converse(complement(converse(X_421)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(X_421))),complement(X_421))),converse(join(complement(X_421),converse(complement(converse(X_421)))))) )],[refute_0_2033,refute_0_2036]) ).
cnf(refute_0_2038,plain,
join(converse(complement(X_421)),complement(converse(X_421))) = join(complement(converse(X_421)),converse(complement(X_421))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(complement(X_421)))),bind(X1,$fot(complement(converse(X_421))))]]) ).
cnf(refute_0_2039,plain,
converse(join(complement(X_421),converse(complement(converse(X_421))))) = join(converse(complement(X_421)),complement(converse(X_421))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(complement(converse(X_421)))),bind(X_4,$fot(complement(X_421)))]]) ).
cnf(refute_0_2040,plain,
( converse(join(complement(X_421),converse(complement(converse(X_421))))) != join(converse(complement(X_421)),complement(converse(X_421)))
| join(converse(complement(X_421)),complement(converse(X_421))) != join(complement(converse(X_421)),converse(complement(X_421)))
| converse(join(complement(X_421),converse(complement(converse(X_421))))) = join(complement(converse(X_421)),converse(complement(X_421))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(X_421),converse(complement(converse(X_421))))))),bind(Y,$fot(join(converse(complement(X_421)),complement(converse(X_421))))),bind(Z,$fot(join(complement(converse(X_421)),converse(complement(X_421)))))]]) ).
cnf(refute_0_2041,plain,
( join(converse(complement(X_421)),complement(converse(X_421))) != join(complement(converse(X_421)),converse(complement(X_421)))
| converse(join(complement(X_421),converse(complement(converse(X_421))))) = join(complement(converse(X_421)),converse(complement(X_421))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),converse(complement(converse(X_421))))),join(converse(complement(X_421)),complement(converse(X_421)))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
converse(join(complement(X_421),converse(complement(converse(X_421))))) = join(complement(converse(X_421)),converse(complement(X_421))),
inference(resolve,[$cnf( $equal(join(converse(complement(X_421)),complement(converse(X_421))),join(complement(converse(X_421)),converse(complement(X_421)))) )],[refute_0_2038,refute_0_2041]) ).
cnf(refute_0_2043,plain,
( converse(join(complement(X_421),converse(complement(converse(X_421))))) != join(complement(converse(X_421)),converse(complement(X_421)))
| converse(join(converse(complement(converse(X_421))),complement(X_421))) != converse(join(complement(X_421),converse(complement(converse(X_421)))))
| converse(join(converse(complement(converse(X_421))),complement(X_421))) = join(complement(converse(X_421)),converse(complement(X_421))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(complement(converse(X_421))),complement(X_421))))),bind(Y,$fot(converse(join(complement(X_421),converse(complement(converse(X_421))))))),bind(Z,$fot(join(complement(converse(X_421)),converse(complement(X_421)))))]]) ).
cnf(refute_0_2044,plain,
( converse(join(complement(X_421),converse(complement(converse(X_421))))) != join(complement(converse(X_421)),converse(complement(X_421)))
| converse(join(converse(complement(converse(X_421))),complement(X_421))) = join(complement(converse(X_421)),converse(complement(X_421))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(X_421))),complement(X_421))),converse(join(complement(X_421),converse(complement(converse(X_421)))))) )],[refute_0_2033,refute_0_2043]) ).
cnf(refute_0_2045,plain,
converse(join(converse(complement(converse(X_421))),complement(X_421))) = join(complement(converse(X_421)),converse(complement(X_421))),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),converse(complement(converse(X_421))))),join(complement(converse(X_421)),converse(complement(X_421)))) )],[refute_0_2042,refute_0_2044]) ).
cnf(refute_0_2046,plain,
( converse(join(converse(complement(converse(X_421))),complement(X_421))) != converse(converse(complement(converse(X_421))))
| converse(join(converse(complement(converse(X_421))),complement(X_421))) != join(complement(converse(X_421)),converse(complement(X_421)))
| join(complement(converse(X_421)),converse(complement(X_421))) = converse(converse(complement(converse(X_421)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(X_421))),complement(X_421))),converse(converse(complement(converse(X_421))))) ),[0],$fot(join(complement(converse(X_421)),converse(complement(X_421))))]]) ).
cnf(refute_0_2047,plain,
( converse(join(converse(complement(converse(X_421))),complement(X_421))) != converse(converse(complement(converse(X_421))))
| join(complement(converse(X_421)),converse(complement(X_421))) = converse(converse(complement(converse(X_421)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(X_421))),complement(X_421))),join(complement(converse(X_421)),converse(complement(X_421)))) )],[refute_0_2045,refute_0_2046]) ).
cnf(refute_0_2048,plain,
converse(converse(complement(converse(X_421)))) = complement(converse(X_421)),
inference(subst,[],[refute_0_54:[bind(X0,$fot(complement(converse(X_421))))]]) ).
cnf(refute_0_2049,plain,
( converse(converse(complement(converse(X_421)))) != complement(converse(X_421))
| join(complement(converse(X_421)),converse(complement(X_421))) != converse(converse(complement(converse(X_421))))
| join(complement(converse(X_421)),converse(complement(X_421))) = complement(converse(X_421)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_421)),converse(complement(X_421))),converse(converse(complement(converse(X_421))))) ),[1],$fot(complement(converse(X_421)))]]) ).
cnf(refute_0_2050,plain,
( join(complement(converse(X_421)),converse(complement(X_421))) != converse(converse(complement(converse(X_421))))
| join(complement(converse(X_421)),converse(complement(X_421))) = complement(converse(X_421)) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_421)))),complement(converse(X_421))) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
( converse(join(converse(complement(converse(X_421))),complement(X_421))) != converse(converse(complement(converse(X_421))))
| join(complement(converse(X_421)),converse(complement(X_421))) = complement(converse(X_421)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_421)),converse(complement(X_421))),converse(converse(complement(converse(X_421))))) )],[refute_0_2047,refute_0_2050]) ).
cnf(refute_0_2052,plain,
join(complement(converse(X_421)),converse(complement(X_421))) = complement(converse(X_421)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(X_421))),complement(X_421))),converse(converse(complement(converse(X_421))))) )],[refute_0_2037,refute_0_2051]) ).
cnf(refute_0_2053,plain,
join(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(subst,[],[refute_0_2052:[bind(X_421,$fot(X0))]]) ).
cnf(refute_0_2054,plain,
( join(complement(converse(X0)),converse(complement(X0))) != complement(converse(X0))
| join(complement(converse(X0)),converse(complement(X0))) != converse(complement(converse(converse(X0))))
| complement(converse(X0)) = converse(complement(converse(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),converse(complement(X0))),converse(complement(converse(converse(X0))))) ),[0],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_2055,plain,
( join(complement(converse(X0)),converse(complement(X0))) != converse(complement(converse(converse(X0))))
| complement(converse(X0)) = converse(complement(converse(converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),converse(complement(X0))),complement(converse(X0))) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
converse(complement(converse(converse(X0)))) = converse(complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_0_2057,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_2058,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
converse(complement(converse(converse(X0)))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_624,refute_0_2058]) ).
cnf(refute_0_2060,plain,
( complement(converse(X0)) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) != converse(complement(X0))
| complement(converse(X0)) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(X0)),converse(complement(X0))) ),[0],$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_0_2061,plain,
( complement(converse(X0)) != converse(complement(converse(converse(X0))))
| complement(converse(X0)) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(X0))) )],[refute_0_2059,refute_0_2060]) ).
cnf(refute_0_2062,plain,
( join(complement(converse(X0)),converse(complement(X0))) != converse(complement(converse(converse(X0))))
| complement(converse(X0)) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(X0)),converse(complement(converse(converse(X0))))) )],[refute_0_2055,refute_0_2061]) ).
cnf(refute_0_2063,plain,
complement(converse(X0)) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),converse(complement(X0))),converse(complement(converse(converse(X0))))) )],[refute_0_2032,refute_0_2062]) ).
cnf(refute_0_2064,plain,
( complement(converse(X0)) != converse(complement(X0))
| converse(complement(X0)) = complement(converse(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(X0)))),bind(Y,$fot(converse(complement(X0))))]]) ).
cnf(refute_0_2065,plain,
converse(complement(X0)) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(complement(converse(X0)),converse(complement(X0))) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
converse(complement(X_37)) = complement(converse(X_37)),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(X_37))]]) ).
cnf(refute_0_2067,plain,
join(converse(complement(X_37)),X0) = join(converse(complement(X_37)),X0),
introduced(tautology,[refl,[$fot(join(converse(complement(X_37)),X0))]]) ).
cnf(refute_0_2068,plain,
( converse(complement(X_37)) != complement(converse(X_37))
| join(converse(complement(X_37)),X0) != join(converse(complement(X_37)),X0)
| join(converse(complement(X_37)),X0) = join(complement(converse(X_37)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(X_37)),X0),join(converse(complement(X_37)),X0)) ),[1,0],$fot(complement(converse(X_37)))]]) ).
cnf(refute_0_2069,plain,
( converse(complement(X_37)) != complement(converse(X_37))
| join(converse(complement(X_37)),X0) = join(complement(converse(X_37)),X0) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_37)),X0),join(converse(complement(X_37)),X0)) )],[refute_0_2067,refute_0_2068]) ).
cnf(refute_0_2070,plain,
join(converse(complement(X_37)),X0) = join(complement(converse(X_37)),X0),
inference(resolve,[$cnf( $equal(converse(complement(X_37)),complement(converse(X_37))) )],[refute_0_2066,refute_0_2069]) ).
cnf(refute_0_2071,plain,
complement(join(converse(complement(X_37)),X0)) = complement(join(converse(complement(X_37)),X0)),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(X_37)),X0)))]]) ).
cnf(refute_0_2072,plain,
( complement(join(converse(complement(X_37)),X0)) != complement(join(converse(complement(X_37)),X0))
| join(converse(complement(X_37)),X0) != join(complement(converse(X_37)),X0)
| complement(join(converse(complement(X_37)),X0)) = complement(join(complement(converse(X_37)),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(X_37)),X0)),complement(join(converse(complement(X_37)),X0))) ),[1,0],$fot(join(complement(converse(X_37)),X0))]]) ).
cnf(refute_0_2073,plain,
( join(converse(complement(X_37)),X0) != join(complement(converse(X_37)),X0)
| complement(join(converse(complement(X_37)),X0)) = complement(join(complement(converse(X_37)),X0)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(X_37)),X0)),complement(join(converse(complement(X_37)),X0))) )],[refute_0_2071,refute_0_2072]) ).
cnf(refute_0_2074,plain,
complement(join(converse(complement(X_37)),X0)) = complement(join(complement(converse(X_37)),X0)),
inference(resolve,[$cnf( $equal(join(converse(complement(X_37)),X0),join(complement(converse(X_37)),X0)) )],[refute_0_2070,refute_0_2073]) ).
cnf(refute_0_2075,plain,
join(X0,complement(join(converse(complement(X_37)),X0))) = join(X0,complement(join(converse(complement(X_37)),X0))),
introduced(tautology,[refl,[$fot(join(X0,complement(join(converse(complement(X_37)),X0))))]]) ).
cnf(refute_0_2076,plain,
( complement(join(converse(complement(X_37)),X0)) != complement(join(complement(converse(X_37)),X0))
| join(X0,complement(join(converse(complement(X_37)),X0))) != join(X0,complement(join(converse(complement(X_37)),X0)))
| join(X0,complement(join(converse(complement(X_37)),X0))) = join(X0,complement(join(complement(converse(X_37)),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,complement(join(converse(complement(X_37)),X0))),join(X0,complement(join(converse(complement(X_37)),X0)))) ),[1,1],$fot(complement(join(complement(converse(X_37)),X0)))]]) ).
cnf(refute_0_2077,plain,
( complement(join(converse(complement(X_37)),X0)) != complement(join(complement(converse(X_37)),X0))
| join(X0,complement(join(converse(complement(X_37)),X0))) = join(X0,complement(join(complement(converse(X_37)),X0))) ),
inference(resolve,[$cnf( $equal(join(X0,complement(join(converse(complement(X_37)),X0))),join(X0,complement(join(converse(complement(X_37)),X0)))) )],[refute_0_2075,refute_0_2076]) ).
cnf(refute_0_2078,plain,
join(X0,complement(join(converse(complement(X_37)),X0))) = join(X0,complement(join(complement(converse(X_37)),X0))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(X_37)),X0)),complement(join(complement(converse(X_37)),X0))) )],[refute_0_2074,refute_0_2077]) ).
cnf(refute_0_2079,plain,
converse(join(X0,complement(join(converse(complement(X_37)),X0)))) = converse(join(X0,complement(join(converse(complement(X_37)),X0)))),
introduced(tautology,[refl,[$fot(converse(join(X0,complement(join(converse(complement(X_37)),X0)))))]]) ).
cnf(refute_0_2080,plain,
( converse(join(X0,complement(join(converse(complement(X_37)),X0)))) != converse(join(X0,complement(join(converse(complement(X_37)),X0))))
| join(X0,complement(join(converse(complement(X_37)),X0))) != join(X0,complement(join(complement(converse(X_37)),X0)))
| converse(join(X0,complement(join(converse(complement(X_37)),X0)))) = converse(join(X0,complement(join(complement(converse(X_37)),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,complement(join(converse(complement(X_37)),X0)))),converse(join(X0,complement(join(converse(complement(X_37)),X0))))) ),[1,0],$fot(join(X0,complement(join(complement(converse(X_37)),X0))))]]) ).
cnf(refute_0_2081,plain,
( join(X0,complement(join(converse(complement(X_37)),X0))) != join(X0,complement(join(complement(converse(X_37)),X0)))
| converse(join(X0,complement(join(converse(complement(X_37)),X0)))) = converse(join(X0,complement(join(complement(converse(X_37)),X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(join(converse(complement(X_37)),X0)))),converse(join(X0,complement(join(converse(complement(X_37)),X0))))) )],[refute_0_2079,refute_0_2080]) ).
cnf(refute_0_2082,plain,
converse(join(X0,complement(join(converse(complement(X_37)),X0)))) = converse(join(X0,complement(join(complement(converse(X_37)),X0)))),
inference(resolve,[$cnf( $equal(join(X0,complement(join(converse(complement(X_37)),X0))),join(X0,complement(join(complement(converse(X_37)),X0)))) )],[refute_0_2078,refute_0_2081]) ).
cnf(refute_0_2083,plain,
meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) = meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),
introduced(tautology,[refl,[$fot(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))]]) ).
cnf(refute_0_2084,plain,
( converse(join(X0,complement(join(converse(complement(X_37)),X0)))) != converse(join(X0,complement(join(complement(converse(X_37)),X0))))
| meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) != meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))
| meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) = meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(complement(converse(X_37)),X0)))))]]) ).
cnf(refute_0_2085,plain,
( converse(join(X0,complement(join(converse(complement(X_37)),X0)))) != converse(join(X0,complement(join(complement(converse(X_37)),X0))))
| meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) = meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0))))) ),
inference(resolve,[$cnf( $equal(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) )],[refute_0_2083,refute_0_2084]) ).
cnf(refute_0_2086,plain,
meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) = meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0))))),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(join(converse(complement(X_37)),X0)))),converse(join(X0,complement(join(complement(converse(X_37)),X0))))) )],[refute_0_2082,refute_0_2085]) ).
cnf(refute_0_2087,plain,
( X_37 != meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))
| meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))) != meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0)))))
| X_37 = meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0)))))) ),[0],$fot(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))))]]) ).
cnf(refute_0_2088,plain,
( X_37 != meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))
| X_37 = meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0))))) ),
inference(resolve,[$cnf( $equal(meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0))))),meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0)))))) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
X_37 = meet(X_37,converse(join(X0,complement(join(complement(converse(X_37)),X0))))),
inference(resolve,[$cnf( $equal(X_37,meet(X_37,converse(join(X0,complement(join(converse(complement(X_37)),X0)))))) )],[refute_0_1879,refute_0_2088]) ).
cnf(refute_0_2090,plain,
X_427 = meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427))))))))),
inference(subst,[],[refute_0_2089:[bind(X0,$fot(composition(top,complement(complement(converse(X_427)))))),bind(X_37,$fot(X_427))]]) ).
cnf(refute_0_2091,plain,
join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(join(X_149,converse(complement(composition(top,complement(converse(X_149)))))))) = top,
inference(subst,[],[refute_0_1594:[bind(X_151,$fot(converse(complement(composition(top,complement(converse(X_149)))))))]]) ).
cnf(refute_0_2092,plain,
converse(join(converse(X0),composition(top,complement(composition(top,complement(converse(X0))))))) = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(composition(top,complement(composition(top,complement(converse(X0)))))))]]) ).
cnf(refute_0_2093,plain,
join(X_129,composition(top,complement(composition(converse(top),complement(X_129))))) = X_129,
inference(subst,[],[refute_0_1038:[bind(X_126,$fot(top)),bind(X_37,$fot(X_129))]]) ).
cnf(refute_0_2094,plain,
( converse(top) != top
| join(X_129,composition(top,complement(composition(converse(top),complement(X_129))))) != X_129
| join(X_129,composition(top,complement(composition(top,complement(X_129))))) = X_129 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,composition(top,complement(composition(converse(top),complement(X_129))))),X_129) ),[0,1,1,0,0],$fot(top)]]) ).
cnf(refute_0_2095,plain,
( join(X_129,composition(top,complement(composition(converse(top),complement(X_129))))) != X_129
| join(X_129,composition(top,complement(composition(top,complement(X_129))))) = X_129 ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_2094]) ).
cnf(refute_0_2096,plain,
join(X_129,composition(top,complement(composition(top,complement(X_129))))) = X_129,
inference(resolve,[$cnf( $equal(join(X_129,composition(top,complement(composition(converse(top),complement(X_129))))),X_129) )],[refute_0_2093,refute_0_2095]) ).
cnf(refute_0_2097,plain,
join(converse(X0),composition(top,complement(composition(top,complement(converse(X0)))))) = converse(X0),
inference(subst,[],[refute_0_2096:[bind(X_129,$fot(converse(X0)))]]) ).
cnf(refute_0_2098,plain,
( converse(join(converse(X0),composition(top,complement(composition(top,complement(converse(X0))))))) != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| join(converse(X0),composition(top,complement(composition(top,complement(converse(X0)))))) != converse(X0)
| converse(converse(X0)) = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(composition(top,complement(converse(X0))))))),join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_2099,plain,
( converse(join(converse(X0),composition(top,complement(composition(top,complement(converse(X0))))))) != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| converse(converse(X0)) = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(top,complement(composition(top,complement(converse(X0)))))),converse(X0)) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
converse(converse(X0)) = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(composition(top,complement(converse(X0))))))),join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) )],[refute_0_2092,refute_0_2099]) ).
cnf(refute_0_2101,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| X0 = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_2102,plain,
( converse(converse(X0)) != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| X0 = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_2101]) ).
cnf(refute_0_2103,plain,
X0 = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) )],[refute_0_2100,refute_0_2102]) ).
cnf(refute_0_2104,plain,
join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,composition(top,X_185))))) = complement(composition(top,X_185)),
inference(subst,[],[refute_0_52:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_185)))]]) ).
cnf(refute_0_2105,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_2106,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_0_2105:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_2107,plain,
join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(composition(converse(X_19),converse(X_18))))) = complement(converse(X_18)),
inference(subst,[],[refute_0_52:[bind(X0,$fot(converse(X_19))),bind(X1,$fot(converse(X_18)))]]) ).
cnf(refute_0_2108,plain,
converse(composition(X_18,X_19)) = composition(converse(X_19),converse(X_18)),
inference(subst,[],[refute_0_219:[bind(X0,$fot(X_18)),bind(X1,$fot(X_19))]]) ).
cnf(refute_0_2109,plain,
( converse(composition(X_18,X_19)) != composition(converse(X_19),converse(X_18))
| composition(converse(X_19),converse(X_18)) = converse(composition(X_18,X_19)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_18,X_19)))),bind(Y,$fot(composition(converse(X_19),converse(X_18))))]]) ).
cnf(refute_0_2110,plain,
composition(converse(X_19),converse(X_18)) = converse(composition(X_18,X_19)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,X_19)),composition(converse(X_19),converse(X_18))) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
( composition(converse(X_19),converse(X_18)) != converse(composition(X_18,X_19))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(composition(converse(X_19),converse(X_18))))) != complement(converse(X_18))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = complement(converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(composition(converse(X_19),converse(X_18))))),complement(converse(X_18))) ),[0,1,1,0],$fot(converse(composition(X_18,X_19)))]]) ).
cnf(refute_0_2112,plain,
( join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(composition(converse(X_19),converse(X_18))))) != complement(converse(X_18))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = complement(converse(X_18)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_19),converse(X_18)),converse(composition(X_18,X_19))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = complement(converse(X_18)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(composition(converse(X_19),converse(X_18))))),complement(converse(X_18))) )],[refute_0_2107,refute_0_2112]) ).
cnf(refute_0_2114,plain,
converse(converse(X_19)) = X_19,
inference(subst,[],[refute_0_54:[bind(X0,$fot(X_19))]]) ).
cnf(refute_0_2115,plain,
composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) = composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))))]]) ).
cnf(refute_0_2116,plain,
( composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) != composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))
| converse(converse(X_19)) != X_19
| composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) = composition(X_19,complement(converse(composition(X_18,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) ),[1,0],$fot(X_19)]]) ).
cnf(refute_0_2117,plain,
( converse(converse(X_19)) != X_19
| composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) = composition(X_19,complement(converse(composition(X_18,X_19)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) )],[refute_0_2115,refute_0_2116]) ).
cnf(refute_0_2118,plain,
composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) = composition(X_19,complement(converse(composition(X_18,X_19)))),
inference(resolve,[$cnf( $equal(converse(converse(X_19)),X_19) )],[refute_0_2114,refute_0_2117]) ).
cnf(refute_0_2119,plain,
join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))))]]) ).
cnf(refute_0_2120,plain,
( composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) != composition(X_19,complement(converse(composition(X_18,X_19))))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) != join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))),join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))))) ),[1,1],$fot(composition(X_19,complement(converse(composition(X_18,X_19)))))]]) ).
cnf(refute_0_2121,plain,
( composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))) != composition(X_19,complement(converse(composition(X_18,X_19))))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))),join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))))) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) = join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19)))),composition(X_19,complement(converse(composition(X_18,X_19))))) )],[refute_0_2118,refute_0_2121]) ).
cnf(refute_0_2123,plain,
( join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) != complement(converse(X_18))
| join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) != join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19)))))
| join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))) = complement(converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))),complement(converse(X_18))) ),[0],$fot(join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))))]]) ).
cnf(refute_0_2124,plain,
( join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))) != complement(converse(X_18))
| join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))) = complement(converse(X_18)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))),join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19)))))) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
join(complement(converse(X_18)),composition(X_19,complement(converse(composition(X_18,X_19))))) = complement(converse(X_18)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_18)),composition(converse(converse(X_19)),complement(converse(composition(X_18,X_19))))),complement(converse(X_18))) )],[refute_0_2113,refute_0_2124]) ).
cnf(refute_0_2126,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))) = complement(converse(complement(composition(top,top)))),
inference(subst,[],[refute_0_2125:[bind(X_18,$fot(complement(composition(top,top)))),bind(X_19,$fot(top))]]) ).
cnf(refute_0_2127,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) = complement(converse(top)),
inference(subst,[],[refute_0_2125:[bind(X_18,$fot(top)),bind(X_19,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2128,plain,
join(complement(top),composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(subst,[],[refute_0_52:[bind(X1,$fot(top))]]) ).
cnf(refute_0_2129,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2130,plain,
( join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_2129]) ).
cnf(refute_0_2131,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_2128,refute_0_2130]) ).
cnf(refute_0_2132,plain,
( complement(top) != zero
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2133,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_2132]) ).
cnf(refute_0_2134,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_2131,refute_0_2133]) ).
cnf(refute_0_2135,plain,
join(zero,composition(converse(top),complement(composition(top,top)))) = zero,
inference(subst,[],[refute_0_2134:[bind(X0,$fot(top))]]) ).
cnf(refute_0_2136,plain,
( converse(top) != top
| join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_2137,plain,
( join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_2136]) ).
cnf(refute_0_2138,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) )],[refute_0_2135,refute_0_2137]) ).
cnf(refute_0_2139,plain,
join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_2140,plain,
( join(zero,composition(top,complement(composition(top,top)))) != composition(top,complement(composition(top,top)))
| join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) ),[0],$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_2141,plain,
( join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),composition(top,complement(composition(top,top)))) )],[refute_0_2139,refute_0_2140]) ).
cnf(refute_0_2142,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_2138,refute_0_2141]) ).
cnf(refute_0_2143,plain,
( composition(top,complement(composition(top,top))) != zero
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))),complement(converse(top))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2144,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2142,refute_0_2143]) ).
cnf(refute_0_2145,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))),complement(converse(top))) )],[refute_0_2127,refute_0_2144]) ).
cnf(refute_0_2146,plain,
join(zero,composition(complement(composition(top,top)),top)) = composition(complement(composition(top,top)),top),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_2147,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_54:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2148,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_144:[bind(X_38,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2149,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_545:[bind(X_10,$fot(zero))]]) ).
cnf(refute_0_2150,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2151,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_2149,refute_0_2150]) ).
cnf(refute_0_2152,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_2153,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_2151,refute_0_2152]) ).
cnf(refute_0_2154,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_2148,refute_0_2153]) ).
cnf(refute_0_2155,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2156,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2157,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2155,refute_0_2156]) ).
cnf(refute_0_2158,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_2154,refute_0_2157]) ).
cnf(refute_0_2159,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2160,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2161,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1868,refute_0_2161]) ).
cnf(refute_0_2163,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(join(zero,meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2164,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
top = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2158,refute_0_2164]) ).
cnf(refute_0_2166,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_998:[bind(X_50,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2167,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| top != join(zero,meet(top,converse(complement(converse(zero)))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_2168,plain,
( top != join(zero,meet(top,converse(complement(converse(zero)))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2165,refute_0_2168]) ).
cnf(refute_0_2170,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2171,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_2169,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2173,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_2147,refute_0_2173]) ).
cnf(refute_0_2175,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_2176,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_2175]) ).
cnf(refute_0_2177,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_2174,refute_0_2176]) ).
cnf(refute_0_2178,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2179,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),complement(converse(zero))))]]) ).
cnf(refute_0_2181,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,top)),complement(converse(zero))) != composition(complement(composition(top,top)),complement(converse(zero)))
| composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(zero))),composition(complement(composition(top,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2182,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(zero))),composition(complement(composition(top,top)),complement(converse(zero)))) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2179,refute_0_2182]) ).
cnf(refute_0_2184,plain,
join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_2185,plain,
( composition(complement(composition(top,top)),complement(converse(zero))) != composition(complement(composition(top,top)),top)
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),complement(converse(zero))))
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_2186,plain,
( composition(complement(composition(top,top)),complement(converse(zero))) != composition(complement(composition(top,top)),top)
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),complement(converse(zero))))) )],[refute_0_2184,refute_0_2185]) ).
cnf(refute_0_2187,plain,
join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(zero))),composition(complement(composition(top,top)),top)) )],[refute_0_2183,refute_0_2186]) ).
cnf(refute_0_2188,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_2189,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero))))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2190,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero))))) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1868,refute_0_2190]) ).
cnf(refute_0_2192,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),complement(converse(zero))))
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))))),bind(Y,$fot(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))))),bind(Z,$fot(join(zero,composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_2193,plain,
( join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),complement(converse(zero))))) )],[refute_0_2191,refute_0_2192]) ).
cnf(refute_0_2194,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),top))) )],[refute_0_2187,refute_0_2193]) ).
cnf(refute_0_2195,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),top))
| join(zero,composition(complement(composition(top,top)),top)) != composition(complement(composition(top,top)),top)
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = composition(complement(composition(top,top)),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))))),bind(Y,$fot(join(zero,composition(complement(composition(top,top)),top)))),bind(Z,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_2196,plain,
( join(zero,composition(complement(composition(top,top)),top)) != composition(complement(composition(top,top)),top)
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),top))) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),top)),composition(complement(composition(top,top)),top)) )],[refute_0_2146,refute_0_2196]) ).
cnf(refute_0_2198,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != composition(complement(composition(top,top)),top)
| composition(complement(composition(top,top)),top) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),complement(converse(top))) ),[0],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_2199,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != complement(converse(top))
| composition(complement(composition(top,top)),top) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),composition(complement(composition(top,top)),top)) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
( complement(converse(top)) != zero
| composition(complement(composition(top,top)),top) != complement(converse(top))
| composition(complement(composition(top,top)),top) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),top),complement(converse(top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_2201,plain,
( composition(complement(composition(top,top)),top) != complement(converse(top))
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1868,refute_0_2200]) ).
cnf(refute_0_2202,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != complement(converse(top))
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),complement(converse(top))) )],[refute_0_2199,refute_0_2201]) ).
cnf(refute_0_2203,plain,
composition(complement(composition(top,top)),top) = zero,
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),complement(converse(top))) )],[refute_0_2145,refute_0_2202]) ).
cnf(refute_0_2204,plain,
( composition(complement(composition(top,top)),top) != zero
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))) != complement(converse(complement(composition(top,top))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = complement(converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))),complement(converse(complement(composition(top,top))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2205,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))) != complement(converse(complement(composition(top,top))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = complement(converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_2203,refute_0_2204]) ).
cnf(refute_0_2206,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = complement(converse(complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))),complement(converse(complement(composition(top,top))))) )],[refute_0_2126,refute_0_2205]) ).
cnf(refute_0_2207,plain,
composition(top,complement(converse(zero))) = composition(top,complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(zero))))]]) ).
cnf(refute_0_2208,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) != composition(top,complement(converse(zero)))
| composition(top,complement(converse(zero))) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2209,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) )],[refute_0_2207,refute_0_2208]) ).
cnf(refute_0_2210,plain,
composition(top,complement(converse(zero))) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2179,refute_0_2209]) ).
cnf(refute_0_2211,plain,
join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_0_2212,plain,
( composition(top,complement(converse(zero))) != composition(top,top)
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) != join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_2213,plain,
( composition(top,complement(converse(zero))) != composition(top,top)
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))) )],[refute_0_2211,refute_0_2212]) ).
cnf(refute_0_2214,plain,
join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,top)) )],[refute_0_2210,refute_0_2213]) ).
cnf(refute_0_2215,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(composition(top,complement(converse(zero))))),bind(X1,$fot(complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_0_2216,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))))),bind(Y,$fot(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))))),bind(Z,$fot(join(composition(top,top),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_0_2217,plain,
( join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))) )],[refute_0_2215,refute_0_2216]) ).
cnf(refute_0_2218,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,top),complement(converse(complement(composition(top,top))))),
inference(resolve,[$cnf( $equal(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),join(composition(top,top),complement(converse(complement(composition(top,top)))))) )],[refute_0_2214,refute_0_2217]) ).
cnf(refute_0_2219,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != complement(converse(complement(composition(top,top))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),complement(converse(complement(composition(top,top))))) ),[0],$fot(join(composition(top,top),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_0_2220,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != complement(converse(complement(composition(top,top))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),join(composition(top,top),complement(converse(complement(composition(top,top)))))) )],[refute_0_2218,refute_0_2219]) ).
cnf(refute_0_2221,plain,
join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),complement(converse(complement(composition(top,top))))) )],[refute_0_2206,refute_0_2220]) ).
cnf(refute_0_2222,plain,
composition(join(one,top),top) = composition(join(one,top),top),
introduced(tautology,[refl,[$fot(composition(join(one,top),top))]]) ).
cnf(refute_0_2223,plain,
( composition(join(one,top),top) != composition(join(one,top),top)
| join(one,top) != top
| composition(join(one,top),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2224,plain,
( join(one,top) != top
| composition(join(one,top),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) )],[refute_0_2222,refute_0_2223]) ).
cnf(refute_0_2225,plain,
composition(join(one,top),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_2224]) ).
cnf(refute_0_2226,plain,
join(composition(X_175,X_176),composition(X_174,X_176)) = join(composition(X_174,X_176),composition(X_175,X_176)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_175,X_176))),bind(X1,$fot(composition(X_174,X_176)))]]) ).
cnf(refute_0_2227,plain,
composition(join(X_174,X_175),X_176) = join(composition(X_174,X_176),composition(X_175,X_176)),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(X_174)),bind(X1,$fot(X_175)),bind(X2,$fot(X_176))]]) ).
cnf(refute_0_2228,plain,
( composition(join(X_174,X_175),X_176) != join(composition(X_174,X_176),composition(X_175,X_176))
| join(composition(X_174,X_176),composition(X_175,X_176)) = composition(join(X_174,X_175),X_176) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_174,X_175),X_176))),bind(Y,$fot(join(composition(X_174,X_176),composition(X_175,X_176))))]]) ).
cnf(refute_0_2229,plain,
join(composition(X_174,X_176),composition(X_175,X_176)) = composition(join(X_174,X_175),X_176),
inference(resolve,[$cnf( $equal(composition(join(X_174,X_175),X_176),join(composition(X_174,X_176),composition(X_175,X_176))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
( join(composition(X_174,X_176),composition(X_175,X_176)) != composition(join(X_174,X_175),X_176)
| join(composition(X_175,X_176),composition(X_174,X_176)) != join(composition(X_174,X_176),composition(X_175,X_176))
| join(composition(X_175,X_176),composition(X_174,X_176)) = composition(join(X_174,X_175),X_176) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_175,X_176),composition(X_174,X_176)),join(composition(X_174,X_176),composition(X_175,X_176))) ),[1],$fot(composition(join(X_174,X_175),X_176))]]) ).
cnf(refute_0_2231,plain,
( join(composition(X_175,X_176),composition(X_174,X_176)) != join(composition(X_174,X_176),composition(X_175,X_176))
| join(composition(X_175,X_176),composition(X_174,X_176)) = composition(join(X_174,X_175),X_176) ),
inference(resolve,[$cnf( $equal(join(composition(X_174,X_176),composition(X_175,X_176)),composition(join(X_174,X_175),X_176)) )],[refute_0_2229,refute_0_2230]) ).
cnf(refute_0_2232,plain,
join(composition(X_175,X_176),composition(X_174,X_176)) = composition(join(X_174,X_175),X_176),
inference(resolve,[$cnf( $equal(join(composition(X_175,X_176),composition(X_174,X_176)),join(composition(X_174,X_176),composition(X_175,X_176))) )],[refute_0_2226,refute_0_2231]) ).
cnf(refute_0_2233,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_2234,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1606,refute_0_2233]) ).
cnf(refute_0_2235,plain,
join(composition(X_175,X_176),composition(X_174,X_176)) = composition(join(X_175,X_174),X_176),
inference(subst,[],[refute_0_2234:[bind(X0,$fot(X_175)),bind(X1,$fot(X_174)),bind(X2,$fot(X_176))]]) ).
cnf(refute_0_2236,plain,
( join(composition(X_175,X_176),composition(X_174,X_176)) != composition(join(X_174,X_175),X_176)
| join(composition(X_175,X_176),composition(X_174,X_176)) != composition(join(X_175,X_174),X_176)
| composition(join(X_175,X_174),X_176) = composition(join(X_174,X_175),X_176) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_175,X_176),composition(X_174,X_176)),composition(join(X_174,X_175),X_176)) ),[0],$fot(composition(join(X_175,X_174),X_176))]]) ).
cnf(refute_0_2237,plain,
( join(composition(X_175,X_176),composition(X_174,X_176)) != composition(join(X_174,X_175),X_176)
| composition(join(X_175,X_174),X_176) = composition(join(X_174,X_175),X_176) ),
inference(resolve,[$cnf( $equal(join(composition(X_175,X_176),composition(X_174,X_176)),composition(join(X_175,X_174),X_176)) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
composition(join(X_175,X_174),X_176) = composition(join(X_174,X_175),X_176),
inference(resolve,[$cnf( $equal(join(composition(X_175,X_176),composition(X_174,X_176)),composition(join(X_174,X_175),X_176)) )],[refute_0_2232,refute_0_2237]) ).
cnf(refute_0_2239,plain,
( composition(join(X_175,X_174),X_176) != composition(join(X_174,X_175),X_176)
| composition(join(X_174,X_175),X_176) = composition(join(X_175,X_174),X_176) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_175,X_174),X_176))),bind(Y,$fot(composition(join(X_174,X_175),X_176)))]]) ).
cnf(refute_0_2240,plain,
composition(join(X_174,X_175),X_176) = composition(join(X_175,X_174),X_176),
inference(resolve,[$cnf( $equal(composition(join(X_175,X_174),X_176),composition(join(X_174,X_175),X_176)) )],[refute_0_2238,refute_0_2239]) ).
cnf(refute_0_2241,plain,
composition(join(top,one),top) = composition(join(one,top),top),
inference(subst,[],[refute_0_2240:[bind(X_174,$fot(top)),bind(X_175,$fot(one)),bind(X_176,$fot(top))]]) ).
cnf(refute_0_2242,plain,
( composition(join(X_174,one),X_176) != join(X_176,composition(X_174,X_176))
| join(X_176,composition(X_174,X_176)) = composition(join(X_174,one),X_176) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_174,one),X_176))),bind(Y,$fot(join(X_176,composition(X_174,X_176))))]]) ).
cnf(refute_0_2243,plain,
join(X_176,composition(X_174,X_176)) = composition(join(X_174,one),X_176),
inference(resolve,[$cnf( $equal(composition(join(X_174,one),X_176),join(X_176,composition(X_174,X_176))) )],[refute_0_1617,refute_0_2242]) ).
cnf(refute_0_2244,plain,
join(top,composition(top,top)) = composition(join(top,one),top),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(top)),bind(X_176,$fot(top))]]) ).
cnf(refute_0_2245,plain,
( composition(join(top,one),top) != composition(join(one,top),top)
| join(top,composition(top,top)) != composition(join(top,one),top)
| join(top,composition(top,top)) = composition(join(one,top),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,composition(top,top)))),bind(Y,$fot(composition(join(top,one),top))),bind(Z,$fot(composition(join(one,top),top)))]]) ).
cnf(refute_0_2246,plain,
( composition(join(top,one),top) != composition(join(one,top),top)
| join(top,composition(top,top)) = composition(join(one,top),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(top,top)),composition(join(top,one),top)) )],[refute_0_2244,refute_0_2245]) ).
cnf(refute_0_2247,plain,
join(top,composition(top,top)) = composition(join(one,top),top),
inference(resolve,[$cnf( $equal(composition(join(top,one),top),composition(join(one,top),top)) )],[refute_0_2241,refute_0_2246]) ).
cnf(refute_0_2248,plain,
( composition(join(one,top),top) != composition(top,top)
| join(top,composition(top,top)) != composition(join(one,top),top)
| join(top,composition(top,top)) = composition(top,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(top,composition(top,top)))),bind(Y,$fot(composition(join(one,top),top))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_2249,plain,
( composition(join(one,top),top) != composition(top,top)
| join(top,composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(top,composition(top,top)),composition(join(one,top),top)) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
join(top,composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(top,top)) )],[refute_0_2225,refute_0_2249]) ).
cnf(refute_0_2251,plain,
join(composition(top,top),top) = join(top,composition(top,top)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(top,top))),bind(X1,$fot(top))]]) ).
cnf(refute_0_2252,plain,
( join(composition(top,top),top) != join(top,composition(top,top))
| join(top,composition(top,top)) != composition(top,top)
| join(composition(top,top),top) = composition(top,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(composition(top,top),top))),bind(Y,$fot(join(top,composition(top,top)))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_2253,plain,
( join(top,composition(top,top)) != composition(top,top)
| join(composition(top,top),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),top),join(top,composition(top,top))) )],[refute_0_2251,refute_0_2252]) ).
cnf(refute_0_2254,plain,
join(composition(top,top),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(top,composition(top,top)),composition(top,top)) )],[refute_0_2250,refute_0_2253]) ).
cnf(refute_0_2255,plain,
converse(zero) = join(meet(zero,converse(zero)),complement(join(complement(converse(zero)),zero))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(converse(zero))),bind(X_38,$fot(zero))]]) ).
cnf(refute_0_2256,plain,
meet(zero,converse(zero)) = complement(join(top,complement(converse(zero)))),
inference(subst,[],[refute_0_204:[bind(X1,$fot(converse(zero)))]]) ).
cnf(refute_0_2257,plain,
join(top,join(converse(zero),complement(converse(zero)))) = join(top,complement(converse(zero))),
inference(subst,[],[refute_0_1291:[bind(X_58,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2258,plain,
top = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_2259,plain,
( top != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(zero),complement(converse(zero)))))]]) ).
cnf(refute_0_2260,plain,
join(converse(zero),complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(zero),complement(converse(zero)))) )],[refute_0_2258,refute_0_2259]) ).
cnf(refute_0_2261,plain,
( join(converse(zero),complement(converse(zero))) != top
| join(top,join(converse(zero),complement(converse(zero)))) != join(top,complement(converse(zero)))
| join(top,top) = join(top,complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(zero),complement(converse(zero)))),join(top,complement(converse(zero)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2262,plain,
( join(top,join(converse(zero),complement(converse(zero)))) != join(top,complement(converse(zero)))
| join(top,top) = join(top,complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),top) )],[refute_0_2260,refute_0_2261]) ).
cnf(refute_0_2263,plain,
join(top,top) = join(top,complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(top,join(converse(zero),complement(converse(zero)))),join(top,complement(converse(zero)))) )],[refute_0_2257,refute_0_2262]) ).
cnf(refute_0_2264,plain,
top = join(join(top,top),join(zero,complement(join(top,top)))),
inference(subst,[],[refute_0_640:[bind(X0,$fot(join(top,top)))]]) ).
cnf(refute_0_2265,plain,
zero = join(meet(zero,complement(zero)),complement(join(complement(zero),top))),
inference(subst,[],[refute_0_1518:[bind(X_68,$fot(complement(zero)))]]) ).
cnf(refute_0_2266,plain,
( meet(zero,complement(zero)) != zero
| zero != join(meet(zero,complement(zero)),complement(join(complement(zero),top)))
| zero = join(zero,complement(join(complement(zero),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,complement(zero)),complement(join(complement(zero),top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2267,plain,
( zero != join(meet(zero,complement(zero)),complement(join(complement(zero),top)))
| zero = join(zero,complement(join(complement(zero),top))) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_137,refute_0_2266]) ).
cnf(refute_0_2268,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,complement(zero)),complement(join(complement(zero),top)))) )],[refute_0_2265,refute_0_2267]) ).
cnf(refute_0_2269,plain,
join(top,complement(zero)) = join(top,complement(zero)),
introduced(tautology,[refl,[$fot(join(top,complement(zero)))]]) ).
cnf(refute_0_2270,plain,
( complement(zero) != top
| join(top,complement(zero)) != join(top,complement(zero))
| join(top,complement(zero)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2271,plain,
( complement(zero) != top
| join(top,complement(zero)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
join(top,complement(zero)) = join(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_2271]) ).
cnf(refute_0_2273,plain,
join(complement(zero),top) = join(top,complement(zero)),
inference(subst,[],[refute_0_847:[bind(X_56,$fot(complement(zero)))]]) ).
cnf(refute_0_2274,plain,
( join(complement(zero),top) != join(top,complement(zero))
| join(top,complement(zero)) != join(top,top)
| join(complement(zero),top) = join(top,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(zero),top))),bind(Y,$fot(join(top,complement(zero)))),bind(Z,$fot(join(top,top)))]]) ).
cnf(refute_0_2275,plain,
( join(top,complement(zero)) != join(top,top)
| join(complement(zero),top) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,complement(zero))) )],[refute_0_2273,refute_0_2274]) ).
cnf(refute_0_2276,plain,
join(complement(zero),top) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_2272,refute_0_2275]) ).
cnf(refute_0_2277,plain,
complement(join(complement(zero),top)) = complement(join(complement(zero),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(zero),top)))]]) ).
cnf(refute_0_2278,plain,
( complement(join(complement(zero),top)) != complement(join(complement(zero),top))
| join(complement(zero),top) != join(top,top)
| complement(join(complement(zero),top)) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(zero),top)),complement(join(complement(zero),top))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_2279,plain,
( join(complement(zero),top) != join(top,top)
| complement(join(complement(zero),top)) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(zero),top)),complement(join(complement(zero),top))) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
complement(join(complement(zero),top)) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,top)) )],[refute_0_2276,refute_0_2279]) ).
cnf(refute_0_2281,plain,
join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(complement(zero),top))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(zero),top))))]]) ).
cnf(refute_0_2282,plain,
( complement(join(complement(zero),top)) != complement(join(top,top))
| join(zero,complement(join(complement(zero),top))) != join(zero,complement(join(complement(zero),top)))
| join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(zero),top))),join(zero,complement(join(complement(zero),top)))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_2283,plain,
( complement(join(complement(zero),top)) != complement(join(top,top))
| join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),top))),join(zero,complement(join(complement(zero),top)))) )],[refute_0_2281,refute_0_2282]) ).
cnf(refute_0_2284,plain,
join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(join(complement(zero),top)),complement(join(top,top))) )],[refute_0_2280,refute_0_2283]) ).
cnf(refute_0_2285,plain,
( join(zero,complement(join(complement(zero),top))) != join(zero,complement(join(top,top)))
| zero != join(zero,complement(join(complement(zero),top)))
| zero = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),top)))) ),[1],$fot(join(zero,complement(join(top,top))))]]) ).
cnf(refute_0_2286,plain,
( zero != join(zero,complement(join(complement(zero),top)))
| zero = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),top))),join(zero,complement(join(top,top)))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
zero = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),top)))) )],[refute_0_2268,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( zero != join(zero,complement(join(top,top)))
| join(zero,complement(join(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(top,top)))))]]) ).
cnf(refute_0_2289,plain,
join(zero,complement(join(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,top)))) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
( join(zero,complement(join(top,top))) != zero
| top != join(join(top,top),join(zero,complement(join(top,top))))
| top = join(join(top,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(top,top),join(zero,complement(join(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2291,plain,
( top != join(join(top,top),join(zero,complement(join(top,top))))
| top = join(join(top,top),zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,top))),zero) )],[refute_0_2289,refute_0_2290]) ).
cnf(refute_0_2292,plain,
top = join(join(top,top),zero),
inference(resolve,[$cnf( $equal(top,join(join(top,top),join(zero,complement(join(top,top))))) )],[refute_0_2264,refute_0_2291]) ).
cnf(refute_0_2293,plain,
( join(X_56,top) != join(top,join(X_56,zero))
| join(top,join(X_56,zero)) = join(X_56,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_56,top))),bind(Y,$fot(join(top,join(X_56,zero))))]]) ).
cnf(refute_0_2294,plain,
join(top,join(X_56,zero)) = join(X_56,top),
inference(resolve,[$cnf( $equal(join(X_56,top),join(top,join(X_56,zero))) )],[refute_0_690,refute_0_2293]) ).
cnf(refute_0_2295,plain,
join(top,join(top,zero)) = join(top,top),
inference(subst,[],[refute_0_2294:[bind(X_56,$fot(top))]]) ).
cnf(refute_0_2296,plain,
join(join(top,top),zero) = join(top,join(top,zero)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(top)),bind(X1,$fot(top)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_2297,plain,
( join(join(top,top),zero) != join(top,join(top,zero))
| join(top,join(top,zero)) != join(top,top)
| join(join(top,top),zero) = join(top,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(top,top),zero))),bind(Y,$fot(join(top,join(top,zero)))),bind(Z,$fot(join(top,top)))]]) ).
cnf(refute_0_2298,plain,
( join(top,join(top,zero)) != join(top,top)
| join(join(top,top),zero) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(join(top,top),zero),join(top,join(top,zero))) )],[refute_0_2296,refute_0_2297]) ).
cnf(refute_0_2299,plain,
join(join(top,top),zero) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,join(top,zero)),join(top,top)) )],[refute_0_2295,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( join(join(top,top),zero) != join(top,top)
| top != join(join(top,top),zero)
| top = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(top,top),zero)) ),[1],$fot(join(top,top))]]) ).
cnf(refute_0_2301,plain,
( top != join(join(top,top),zero)
| top = join(top,top) ),
inference(resolve,[$cnf( $equal(join(join(top,top),zero),join(top,top)) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
top = join(top,top),
inference(resolve,[$cnf( $equal(top,join(join(top,top),zero)) )],[refute_0_2292,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( top != join(top,top)
| join(top,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,top)))]]) ).
cnf(refute_0_2304,plain,
join(top,top) = top,
inference(resolve,[$cnf( $equal(top,join(top,top)) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
( join(top,top) != join(top,complement(converse(zero)))
| join(top,top) != top
| top = join(top,complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(top,complement(converse(zero)))) ),[0],$fot(top)]]) ).
cnf(refute_0_2306,plain,
( join(top,top) != join(top,complement(converse(zero)))
| top = join(top,complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_2304,refute_0_2305]) ).
cnf(refute_0_2307,plain,
top = join(top,complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(top,top),join(top,complement(converse(zero)))) )],[refute_0_2263,refute_0_2306]) ).
cnf(refute_0_2308,plain,
( top != join(top,complement(converse(zero)))
| join(top,complement(converse(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(converse(zero)))))]]) ).
cnf(refute_0_2309,plain,
join(top,complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(converse(zero)))) )],[refute_0_2307,refute_0_2308]) ).
cnf(refute_0_2310,plain,
( join(top,complement(converse(zero))) != top
| meet(zero,converse(zero)) != complement(join(top,complement(converse(zero))))
| meet(zero,converse(zero)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,converse(zero)),complement(join(top,complement(converse(zero))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2311,plain,
( meet(zero,converse(zero)) != complement(join(top,complement(converse(zero))))
| meet(zero,converse(zero)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(top,complement(converse(zero))),top) )],[refute_0_2309,refute_0_2310]) ).
cnf(refute_0_2312,plain,
meet(zero,converse(zero)) = complement(top),
inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),complement(join(top,complement(converse(zero))))) )],[refute_0_2256,refute_0_2311]) ).
cnf(refute_0_2313,plain,
( complement(top) != zero
| meet(zero,converse(zero)) != complement(top)
| meet(zero,converse(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,converse(zero)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2314,plain,
( meet(zero,converse(zero)) != complement(top)
| meet(zero,converse(zero)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_2313]) ).
cnf(refute_0_2315,plain,
meet(zero,converse(zero)) = zero,
inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),complement(top)) )],[refute_0_2312,refute_0_2314]) ).
cnf(refute_0_2316,plain,
( converse(zero) != join(meet(zero,converse(zero)),complement(join(complement(converse(zero)),zero)))
| meet(zero,converse(zero)) != zero
| converse(zero) = join(zero,complement(join(complement(converse(zero)),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(meet(zero,converse(zero)),complement(join(complement(converse(zero)),zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2317,plain,
( converse(zero) != join(meet(zero,converse(zero)),complement(join(complement(converse(zero)),zero)))
| converse(zero) = join(zero,complement(join(complement(converse(zero)),zero))) ),
inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),zero) )],[refute_0_2315,refute_0_2316]) ).
cnf(refute_0_2318,plain,
converse(zero) = join(zero,complement(join(complement(converse(zero)),zero))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(zero,converse(zero)),complement(join(complement(converse(zero)),zero)))) )],[refute_0_2255,refute_0_2317]) ).
cnf(refute_0_2319,plain,
converse(zero) = join(meet(converse(zero),top),complement(join(top,complement(converse(zero))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(converse(zero))),bind(X_38,$fot(top))]]) ).
cnf(refute_0_2320,plain,
( join(top,top) != join(top,complement(converse(zero)))
| join(top,complement(converse(zero))) = join(top,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(top,top))),bind(Y,$fot(join(top,complement(converse(zero)))))]]) ).
cnf(refute_0_2321,plain,
join(top,complement(converse(zero))) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,top),join(top,complement(converse(zero)))) )],[refute_0_2263,refute_0_2320]) ).
cnf(refute_0_2322,plain,
( converse(zero) != join(meet(converse(zero),top),complement(join(top,complement(converse(zero)))))
| join(top,complement(converse(zero))) != join(top,top)
| converse(zero) = join(meet(converse(zero),top),complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(meet(converse(zero),top),complement(join(top,complement(converse(zero)))))) ),[1,1,0],$fot(join(top,top))]]) ).
cnf(refute_0_2323,plain,
( converse(zero) != join(meet(converse(zero),top),complement(join(top,complement(converse(zero)))))
| converse(zero) = join(meet(converse(zero),top),complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(top,complement(converse(zero))),join(top,top)) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
converse(zero) = join(meet(converse(zero),top),complement(join(top,top))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),top),complement(join(top,complement(converse(zero)))))) )],[refute_0_2319,refute_0_2323]) ).
cnf(refute_0_2325,plain,
meet(converse(zero),top) = meet(top,converse(zero)),
inference(subst,[],[refute_0_186:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_2326,plain,
join(complement(join(top,top)),meet(converse(zero),top)) = join(complement(join(top,top)),meet(converse(zero),top)),
introduced(tautology,[refl,[$fot(join(complement(join(top,top)),meet(converse(zero),top)))]]) ).
cnf(refute_0_2327,plain,
( join(complement(join(top,top)),meet(converse(zero),top)) != join(complement(join(top,top)),meet(converse(zero),top))
| meet(converse(zero),top) != meet(top,converse(zero))
| join(complement(join(top,top)),meet(converse(zero),top)) = join(complement(join(top,top)),meet(top,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,top)),meet(converse(zero),top)),join(complement(join(top,top)),meet(converse(zero),top))) ),[1,1],$fot(meet(top,converse(zero)))]]) ).
cnf(refute_0_2328,plain,
( meet(converse(zero),top) != meet(top,converse(zero))
| join(complement(join(top,top)),meet(converse(zero),top)) = join(complement(join(top,top)),meet(top,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,top)),meet(converse(zero),top)),join(complement(join(top,top)),meet(converse(zero),top))) )],[refute_0_2326,refute_0_2327]) ).
cnf(refute_0_2329,plain,
join(complement(join(top,top)),meet(converse(zero),top)) = join(complement(join(top,top)),meet(top,converse(zero))),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),meet(top,converse(zero))) )],[refute_0_2325,refute_0_2328]) ).
cnf(refute_0_2330,plain,
join(meet(converse(zero),top),complement(join(top,top))) = join(complement(join(top,top)),meet(converse(zero),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(top,top)))),bind(X1,$fot(meet(converse(zero),top)))]]) ).
cnf(refute_0_2331,plain,
( join(complement(join(top,top)),meet(converse(zero),top)) != join(complement(join(top,top)),meet(top,converse(zero)))
| join(meet(converse(zero),top),complement(join(top,top))) != join(complement(join(top,top)),meet(converse(zero),top))
| join(meet(converse(zero),top),complement(join(top,top))) = join(complement(join(top,top)),meet(top,converse(zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(converse(zero),top),complement(join(top,top))))),bind(Y,$fot(join(complement(join(top,top)),meet(converse(zero),top)))),bind(Z,$fot(join(complement(join(top,top)),meet(top,converse(zero)))))]]) ).
cnf(refute_0_2332,plain,
( join(complement(join(top,top)),meet(converse(zero),top)) != join(complement(join(top,top)),meet(top,converse(zero)))
| join(meet(converse(zero),top),complement(join(top,top))) = join(complement(join(top,top)),meet(top,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),top),complement(join(top,top))),join(complement(join(top,top)),meet(converse(zero),top))) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
join(meet(converse(zero),top),complement(join(top,top))) = join(complement(join(top,top)),meet(top,converse(zero))),
inference(resolve,[$cnf( $equal(join(complement(join(top,top)),meet(converse(zero),top)),join(complement(join(top,top)),meet(top,converse(zero)))) )],[refute_0_2329,refute_0_2332]) ).
cnf(refute_0_2334,plain,
( converse(zero) != join(meet(converse(zero),top),complement(join(top,top)))
| join(meet(converse(zero),top),complement(join(top,top))) != join(complement(join(top,top)),meet(top,converse(zero)))
| converse(zero) = join(complement(join(top,top)),meet(top,converse(zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),join(complement(join(top,top)),meet(top,converse(zero)))) ),[0],$fot(join(meet(converse(zero),top),complement(join(top,top))))]]) ).
cnf(refute_0_2335,plain,
( converse(zero) != join(meet(converse(zero),top),complement(join(top,top)))
| converse(zero) = join(complement(join(top,top)),meet(top,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),top),complement(join(top,top))),join(complement(join(top,top)),meet(top,converse(zero)))) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
converse(zero) = join(complement(join(top,top)),meet(top,converse(zero))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),top),complement(join(top,top)))) )],[refute_0_2324,refute_0_2335]) ).
cnf(refute_0_2337,plain,
complement(join(top,top)) = complement(join(top,top)),
introduced(tautology,[refl,[$fot(complement(join(top,top)))]]) ).
cnf(refute_0_2338,plain,
( complement(join(top,top)) != complement(join(top,top))
| join(top,top) != top
| complement(join(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2339,plain,
( join(top,top) != top
| complement(join(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) )],[refute_0_2337,refute_0_2338]) ).
cnf(refute_0_2340,plain,
complement(join(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_2304,refute_0_2339]) ).
cnf(refute_0_2341,plain,
( complement(join(top,top)) != complement(top)
| complement(top) != zero
| complement(join(top,top)) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2342,plain,
( complement(top) != zero
| complement(join(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(top)) )],[refute_0_2340,refute_0_2341]) ).
cnf(refute_0_2343,plain,
complement(join(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_2342]) ).
cnf(refute_0_2344,plain,
join(complement(join(top,top)),meet(top,converse(zero))) = join(complement(join(top,top)),meet(top,converse(zero))),
introduced(tautology,[refl,[$fot(join(complement(join(top,top)),meet(top,converse(zero))))]]) ).
cnf(refute_0_2345,plain,
( complement(join(top,top)) != zero
| join(complement(join(top,top)),meet(top,converse(zero))) != join(complement(join(top,top)),meet(top,converse(zero)))
| join(complement(join(top,top)),meet(top,converse(zero))) = join(zero,meet(top,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,top)),meet(top,converse(zero))),join(complement(join(top,top)),meet(top,converse(zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2346,plain,
( complement(join(top,top)) != zero
| join(complement(join(top,top)),meet(top,converse(zero))) = join(zero,meet(top,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,top)),meet(top,converse(zero))),join(complement(join(top,top)),meet(top,converse(zero)))) )],[refute_0_2344,refute_0_2345]) ).
cnf(refute_0_2347,plain,
join(complement(join(top,top)),meet(top,converse(zero))) = join(zero,meet(top,converse(zero))),
inference(resolve,[$cnf( $equal(complement(join(top,top)),zero) )],[refute_0_2343,refute_0_2346]) ).
cnf(refute_0_2348,plain,
( converse(zero) != join(complement(join(top,top)),meet(top,converse(zero)))
| join(complement(join(top,top)),meet(top,converse(zero))) != join(zero,meet(top,converse(zero)))
| converse(zero) = join(zero,meet(top,converse(zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),join(zero,meet(top,converse(zero)))) ),[0],$fot(join(complement(join(top,top)),meet(top,converse(zero))))]]) ).
cnf(refute_0_2349,plain,
( converse(zero) != join(complement(join(top,top)),meet(top,converse(zero)))
| converse(zero) = join(zero,meet(top,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,top)),meet(top,converse(zero))),join(zero,meet(top,converse(zero)))) )],[refute_0_2347,refute_0_2348]) ).
cnf(refute_0_2350,plain,
converse(zero) = join(zero,meet(top,converse(zero))),
inference(resolve,[$cnf( $equal(converse(zero),join(complement(join(top,top)),meet(top,converse(zero)))) )],[refute_0_2336,refute_0_2349]) ).
cnf(refute_0_2351,plain,
( converse(zero) != join(zero,meet(top,converse(zero)))
| join(zero,meet(top,converse(zero))) = converse(zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(zero))),bind(Y,$fot(join(zero,meet(top,converse(zero)))))]]) ).
cnf(refute_0_2352,plain,
join(zero,meet(top,converse(zero))) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(top,converse(zero)))) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
complement(join(zero,meet(top,converse(zero)))) = complement(join(zero,meet(top,converse(zero)))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,converse(zero)))))]]) ).
cnf(refute_0_2354,plain,
( complement(join(zero,meet(top,converse(zero)))) != complement(join(zero,meet(top,converse(zero))))
| join(zero,meet(top,converse(zero))) != converse(zero)
| complement(join(zero,meet(top,converse(zero)))) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,converse(zero)))),complement(join(zero,meet(top,converse(zero))))) ),[1,0],$fot(converse(zero))]]) ).
cnf(refute_0_2355,plain,
( join(zero,meet(top,converse(zero))) != converse(zero)
| complement(join(zero,meet(top,converse(zero)))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,converse(zero)))),complement(join(zero,meet(top,converse(zero))))) )],[refute_0_2353,refute_0_2354]) ).
cnf(refute_0_2356,plain,
complement(join(zero,meet(top,converse(zero)))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(zero))),converse(zero)) )],[refute_0_2352,refute_0_2355]) ).
cnf(refute_0_2357,plain,
meet(top,complement(meet(top,converse(zero)))) = complement(join(zero,meet(top,converse(zero)))),
inference(subst,[],[refute_0_874:[bind(X_33,$fot(converse(zero)))]]) ).
cnf(refute_0_2358,plain,
( complement(join(zero,meet(top,converse(zero)))) != complement(converse(zero))
| meet(top,complement(meet(top,converse(zero)))) != complement(join(zero,meet(top,converse(zero))))
| meet(top,complement(meet(top,converse(zero)))) = complement(converse(zero)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(top,complement(meet(top,converse(zero)))))),bind(Y,$fot(complement(join(zero,meet(top,converse(zero)))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2359,plain,
( complement(join(zero,meet(top,converse(zero)))) != complement(converse(zero))
| meet(top,complement(meet(top,converse(zero)))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,converse(zero)))),complement(join(zero,meet(top,converse(zero))))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
meet(top,complement(meet(top,converse(zero)))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,converse(zero)))),complement(converse(zero))) )],[refute_0_2356,refute_0_2359]) ).
cnf(refute_0_2361,plain,
join(zero,complement(converse(zero))) = complement(meet(top,converse(zero))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(converse(zero)))]]) ).
cnf(refute_0_2362,plain,
join(complement(converse(zero)),zero) = join(zero,complement(converse(zero))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2363,plain,
( join(complement(converse(zero)),zero) != join(zero,complement(converse(zero)))
| join(zero,complement(converse(zero))) != complement(meet(top,converse(zero)))
| join(complement(converse(zero)),zero) = complement(meet(top,converse(zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(zero)),zero))),bind(Y,$fot(join(zero,complement(converse(zero))))),bind(Z,$fot(complement(meet(top,converse(zero)))))]]) ).
cnf(refute_0_2364,plain,
( join(zero,complement(converse(zero))) != complement(meet(top,converse(zero)))
| join(complement(converse(zero)),zero) = complement(meet(top,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),zero),join(zero,complement(converse(zero)))) )],[refute_0_2362,refute_0_2363]) ).
cnf(refute_0_2365,plain,
join(complement(converse(zero)),zero) = complement(meet(top,converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(zero))),complement(meet(top,converse(zero)))) )],[refute_0_2361,refute_0_2364]) ).
cnf(refute_0_2366,plain,
meet(top,join(complement(converse(zero)),zero)) = meet(top,join(complement(converse(zero)),zero)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(converse(zero)),zero)))]]) ).
cnf(refute_0_2367,plain,
( join(complement(converse(zero)),zero) != complement(meet(top,converse(zero)))
| meet(top,join(complement(converse(zero)),zero)) != meet(top,join(complement(converse(zero)),zero))
| meet(top,join(complement(converse(zero)),zero)) = meet(top,complement(meet(top,converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(converse(zero)),zero)),meet(top,join(complement(converse(zero)),zero))) ),[1,1],$fot(complement(meet(top,converse(zero))))]]) ).
cnf(refute_0_2368,plain,
( join(complement(converse(zero)),zero) != complement(meet(top,converse(zero)))
| meet(top,join(complement(converse(zero)),zero)) = meet(top,complement(meet(top,converse(zero)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(zero)),zero)),meet(top,join(complement(converse(zero)),zero))) )],[refute_0_2366,refute_0_2367]) ).
cnf(refute_0_2369,plain,
meet(top,join(complement(converse(zero)),zero)) = meet(top,complement(meet(top,converse(zero)))),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),zero),complement(meet(top,converse(zero)))) )],[refute_0_2365,refute_0_2368]) ).
cnf(refute_0_2370,plain,
( meet(top,complement(meet(top,converse(zero)))) != complement(converse(zero))
| meet(top,join(complement(converse(zero)),zero)) != meet(top,complement(meet(top,converse(zero))))
| meet(top,join(complement(converse(zero)),zero)) = complement(converse(zero)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(top,join(complement(converse(zero)),zero)))),bind(Y,$fot(meet(top,complement(meet(top,converse(zero)))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2371,plain,
( meet(top,complement(meet(top,converse(zero)))) != complement(converse(zero))
| meet(top,join(complement(converse(zero)),zero)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(zero)),zero)),meet(top,complement(meet(top,converse(zero))))) )],[refute_0_2369,refute_0_2370]) ).
cnf(refute_0_2372,plain,
meet(top,join(complement(converse(zero)),zero)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,converse(zero)))),complement(converse(zero))) )],[refute_0_2360,refute_0_2371]) ).
cnf(refute_0_2373,plain,
complement(meet(top,join(complement(converse(zero)),zero))) = complement(meet(top,join(complement(converse(zero)),zero))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(converse(zero)),zero))))]]) ).
cnf(refute_0_2374,plain,
( complement(meet(top,join(complement(converse(zero)),zero))) != complement(meet(top,join(complement(converse(zero)),zero)))
| meet(top,join(complement(converse(zero)),zero)) != complement(converse(zero))
| complement(meet(top,join(complement(converse(zero)),zero))) = complement(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(converse(zero)),zero))),complement(meet(top,join(complement(converse(zero)),zero)))) ),[1,0],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_2375,plain,
( meet(top,join(complement(converse(zero)),zero)) != complement(converse(zero))
| complement(meet(top,join(complement(converse(zero)),zero))) = complement(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(converse(zero)),zero))),complement(meet(top,join(complement(converse(zero)),zero)))) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
complement(meet(top,join(complement(converse(zero)),zero))) = complement(complement(converse(zero))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(zero)),zero)),complement(converse(zero))) )],[refute_0_2372,refute_0_2375]) ).
cnf(refute_0_2377,plain,
join(zero,complement(join(complement(converse(zero)),zero))) = complement(meet(top,join(complement(converse(zero)),zero))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(join(complement(converse(zero)),zero)))]]) ).
cnf(refute_0_2378,plain,
( complement(meet(top,join(complement(converse(zero)),zero))) != complement(complement(converse(zero)))
| join(zero,complement(join(complement(converse(zero)),zero))) != complement(meet(top,join(complement(converse(zero)),zero)))
| join(zero,complement(join(complement(converse(zero)),zero))) = complement(complement(converse(zero))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,complement(join(complement(converse(zero)),zero))))),bind(Y,$fot(complement(meet(top,join(complement(converse(zero)),zero))))),bind(Z,$fot(complement(complement(converse(zero)))))]]) ).
cnf(refute_0_2379,plain,
( complement(meet(top,join(complement(converse(zero)),zero))) != complement(complement(converse(zero)))
| join(zero,complement(join(complement(converse(zero)),zero))) = complement(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(converse(zero)),zero))),complement(meet(top,join(complement(converse(zero)),zero)))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
join(zero,complement(join(complement(converse(zero)),zero))) = complement(complement(converse(zero))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(converse(zero)),zero))),complement(complement(converse(zero)))) )],[refute_0_2376,refute_0_2379]) ).
cnf(refute_0_2381,plain,
( converse(zero) != join(zero,complement(join(complement(converse(zero)),zero)))
| join(zero,complement(join(complement(converse(zero)),zero))) != complement(complement(converse(zero)))
| converse(zero) = complement(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),complement(complement(converse(zero)))) ),[0],$fot(join(zero,complement(join(complement(converse(zero)),zero))))]]) ).
cnf(refute_0_2382,plain,
( converse(zero) != join(zero,complement(join(complement(converse(zero)),zero)))
| converse(zero) = complement(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(converse(zero)),zero))),complement(complement(converse(zero)))) )],[refute_0_2380,refute_0_2381]) ).
cnf(refute_0_2383,plain,
converse(zero) = complement(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,complement(join(complement(converse(zero)),zero)))) )],[refute_0_2318,refute_0_2382]) ).
cnf(refute_0_2384,plain,
complement(complement(converse(zero))) = complement(complement(converse(zero))),
introduced(tautology,[refl,[$fot(complement(complement(converse(zero))))]]) ).
cnf(refute_0_2385,plain,
( complement(complement(converse(zero))) != complement(complement(converse(zero)))
| complement(converse(zero)) != top
| complement(complement(converse(zero))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(zero))),complement(complement(converse(zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2386,plain,
( complement(converse(zero)) != top
| complement(complement(converse(zero))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(zero))),complement(complement(converse(zero)))) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
complement(complement(converse(zero))) = complement(top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2179,refute_0_2386]) ).
cnf(refute_0_2388,plain,
( complement(complement(converse(zero))) != complement(top)
| complement(top) != zero
| complement(complement(converse(zero))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(complement(converse(zero))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2389,plain,
( complement(top) != zero
| complement(complement(converse(zero))) = zero ),
inference(resolve,[$cnf( $equal(complement(complement(converse(zero))),complement(top)) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
complement(complement(converse(zero))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_2389]) ).
cnf(refute_0_2391,plain,
( complement(complement(converse(zero))) != zero
| converse(zero) != complement(complement(converse(zero)))
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),complement(complement(converse(zero)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_2392,plain,
( converse(zero) != complement(complement(converse(zero)))
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(complement(complement(converse(zero))),zero) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),complement(complement(converse(zero)))) )],[refute_0_2383,refute_0_2392]) ).
cnf(refute_0_2394,plain,
complement(composition(top,top)) = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_0_267:[bind(X_20,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2395,plain,
composition(join(X_174,top),complement(composition(top,top))) = join(composition(X_174,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(X_174)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2396,plain,
( composition(join(X_174,top),complement(composition(top,top))) != join(composition(X_174,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_174,top),complement(composition(top,top))) = join(composition(X_174,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),join(composition(X_174,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2397,plain,
( composition(join(X_174,top),complement(composition(top,top))) != join(composition(X_174,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_174,top),complement(composition(top,top))) = join(composition(X_174,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2142,refute_0_2396]) ).
cnf(refute_0_2398,plain,
composition(join(X_174,top),complement(composition(top,top))) = join(composition(X_174,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),join(composition(X_174,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_2395,refute_0_2397]) ).
cnf(refute_0_2399,plain,
join(X_174,top) = top,
inference(subst,[],[refute_0_1558:[bind(X_69,$fot(X_174))]]) ).
cnf(refute_0_2400,plain,
composition(join(X_174,top),complement(composition(top,top))) = composition(join(X_174,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_174,top),complement(composition(top,top))))]]) ).
cnf(refute_0_2401,plain,
( composition(join(X_174,top),complement(composition(top,top))) != composition(join(X_174,top),complement(composition(top,top)))
| join(X_174,top) != top
| composition(join(X_174,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),composition(join(X_174,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2402,plain,
( join(X_174,top) != top
| composition(join(X_174,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),composition(join(X_174,top),complement(composition(top,top)))) )],[refute_0_2400,refute_0_2401]) ).
cnf(refute_0_2403,plain,
composition(join(X_174,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_174,top),top) )],[refute_0_2399,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( composition(join(X_174,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_174,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(join(X_174,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2405,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_174,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_2403,refute_0_2404]) ).
cnf(refute_0_2406,plain,
composition(join(X_174,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2142,refute_0_2405]) ).
cnf(refute_0_2407,plain,
( composition(join(X_174,top),complement(composition(top,top))) != join(composition(X_174,complement(composition(top,top))),zero)
| composition(join(X_174,top),complement(composition(top,top))) != zero
| zero = join(composition(X_174,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),join(composition(X_174,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2408,plain,
( composition(join(X_174,top),complement(composition(top,top))) != join(composition(X_174,complement(composition(top,top))),zero)
| zero = join(composition(X_174,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),zero) )],[refute_0_2406,refute_0_2407]) ).
cnf(refute_0_2409,plain,
join(zero,composition(X_174,complement(composition(top,top)))) = composition(X_174,complement(composition(top,top))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(X_174,complement(composition(top,top)))))]]) ).
cnf(refute_0_2410,plain,
join(composition(X_174,complement(composition(top,top))),zero) = join(zero,composition(X_174,complement(composition(top,top)))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_174,complement(composition(top,top))))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_2411,plain,
( join(composition(X_174,complement(composition(top,top))),zero) != join(zero,composition(X_174,complement(composition(top,top))))
| join(zero,composition(X_174,complement(composition(top,top)))) != composition(X_174,complement(composition(top,top)))
| join(composition(X_174,complement(composition(top,top))),zero) = composition(X_174,complement(composition(top,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(composition(X_174,complement(composition(top,top))),zero))),bind(Y,$fot(join(zero,composition(X_174,complement(composition(top,top)))))),bind(Z,$fot(composition(X_174,complement(composition(top,top)))))]]) ).
cnf(refute_0_2412,plain,
( join(zero,composition(X_174,complement(composition(top,top)))) != composition(X_174,complement(composition(top,top)))
| join(composition(X_174,complement(composition(top,top))),zero) = composition(X_174,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_174,complement(composition(top,top))),zero),join(zero,composition(X_174,complement(composition(top,top))))) )],[refute_0_2410,refute_0_2411]) ).
cnf(refute_0_2413,plain,
join(composition(X_174,complement(composition(top,top))),zero) = composition(X_174,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(zero,composition(X_174,complement(composition(top,top)))),composition(X_174,complement(composition(top,top)))) )],[refute_0_2409,refute_0_2412]) ).
cnf(refute_0_2414,plain,
( join(composition(X_174,complement(composition(top,top))),zero) != composition(X_174,complement(composition(top,top)))
| zero != join(composition(X_174,complement(composition(top,top))),zero)
| zero = composition(X_174,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_174,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_174,complement(composition(top,top))))]]) ).
cnf(refute_0_2415,plain,
( zero != join(composition(X_174,complement(composition(top,top))),zero)
| zero = composition(X_174,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_174,complement(composition(top,top))),zero),composition(X_174,complement(composition(top,top)))) )],[refute_0_2413,refute_0_2414]) ).
cnf(refute_0_2416,plain,
( composition(join(X_174,top),complement(composition(top,top))) != join(composition(X_174,complement(composition(top,top))),zero)
| zero = composition(X_174,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_174,complement(composition(top,top))),zero)) )],[refute_0_2408,refute_0_2415]) ).
cnf(refute_0_2417,plain,
zero = composition(X_174,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_174,top),complement(composition(top,top))),join(composition(X_174,complement(composition(top,top))),zero)) )],[refute_0_2398,refute_0_2416]) ).
cnf(refute_0_2418,plain,
zero = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_0_2417:[bind(X_174,$fot(one))]]) ).
cnf(refute_0_2419,plain,
( zero != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(one,complement(composition(top,top)))))]]) ).
cnf(refute_0_2420,plain,
composition(one,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(one,complement(composition(top,top)))) )],[refute_0_2418,refute_0_2419]) ).
cnf(refute_0_2421,plain,
( complement(composition(top,top)) != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) != zero
| complement(composition(top,top)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,top)),zero) ),[0],$fot(composition(one,complement(composition(top,top))))]]) ).
cnf(refute_0_2422,plain,
( complement(composition(top,top)) != composition(one,complement(composition(top,top)))
| complement(composition(top,top)) = zero ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(top,top))),zero) )],[refute_0_2420,refute_0_2421]) ).
cnf(refute_0_2423,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(composition(top,top)),composition(one,complement(composition(top,top)))) )],[refute_0_2394,refute_0_2422]) ).
cnf(refute_0_2424,plain,
converse(complement(composition(top,top))) = converse(complement(composition(top,top))),
introduced(tautology,[refl,[$fot(converse(complement(composition(top,top))))]]) ).
cnf(refute_0_2425,plain,
( complement(composition(top,top)) != zero
| converse(complement(composition(top,top))) != converse(complement(composition(top,top)))
| converse(complement(composition(top,top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,top))),converse(complement(composition(top,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2426,plain,
( complement(composition(top,top)) != zero
| converse(complement(composition(top,top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),converse(complement(composition(top,top)))) )],[refute_0_2424,refute_0_2425]) ).
cnf(refute_0_2427,plain,
converse(complement(composition(top,top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_2423,refute_0_2426]) ).
cnf(refute_0_2428,plain,
( converse(complement(composition(top,top))) != converse(zero)
| converse(zero) != zero
| converse(complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(complement(composition(top,top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2429,plain,
( converse(zero) != zero
| converse(complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),converse(zero)) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
converse(complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2393,refute_0_2429]) ).
cnf(refute_0_2431,plain,
complement(converse(complement(composition(top,top)))) = complement(converse(complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,top)))))]]) ).
cnf(refute_0_2432,plain,
( complement(converse(complement(composition(top,top)))) != complement(converse(complement(composition(top,top))))
| converse(complement(composition(top,top))) != zero
| complement(converse(complement(composition(top,top)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,top)))),complement(converse(complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2433,plain,
( converse(complement(composition(top,top))) != zero
| complement(converse(complement(composition(top,top)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),complement(converse(complement(composition(top,top))))) )],[refute_0_2431,refute_0_2432]) ).
cnf(refute_0_2434,plain,
complement(converse(complement(composition(top,top)))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),zero) )],[refute_0_2430,refute_0_2433]) ).
cnf(refute_0_2435,plain,
( complement(converse(complement(composition(top,top)))) != complement(zero)
| complement(zero) != top
| complement(converse(complement(composition(top,top)))) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(complement(composition(top,top)))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2436,plain,
( complement(zero) != top
| complement(converse(complement(composition(top,top)))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),complement(zero)) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
complement(converse(complement(composition(top,top)))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_2436]) ).
cnf(refute_0_2438,plain,
join(composition(top,top),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(join(composition(top,top),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_0_2439,plain,
( complement(converse(complement(composition(top,top)))) != top
| join(composition(top,top),complement(converse(complement(composition(top,top))))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = join(composition(top,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),join(composition(top,top),complement(converse(complement(composition(top,top)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2440,plain,
( complement(converse(complement(composition(top,top)))) != top
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = join(composition(top,top),top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),join(composition(top,top),complement(converse(complement(composition(top,top)))))) )],[refute_0_2438,refute_0_2439]) ).
cnf(refute_0_2441,plain,
join(composition(top,top),complement(converse(complement(composition(top,top))))) = join(composition(top,top),top),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),top) )],[refute_0_2437,refute_0_2440]) ).
cnf(refute_0_2442,plain,
( join(composition(top,top),complement(converse(complement(composition(top,top))))) != join(composition(top,top),top)
| join(composition(top,top),top) != composition(top,top)
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = composition(top,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(composition(top,top),complement(converse(complement(composition(top,top))))))),bind(Y,$fot(join(composition(top,top),top))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_2443,plain,
( join(composition(top,top),top) != composition(top,top)
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),join(composition(top,top),top)) )],[refute_0_2441,refute_0_2442]) ).
cnf(refute_0_2444,plain,
join(composition(top,top),complement(converse(complement(composition(top,top))))) = composition(top,top),
inference(resolve,[$cnf( $equal(join(composition(top,top),top),composition(top,top)) )],[refute_0_2254,refute_0_2443]) ).
cnf(refute_0_2445,plain,
( join(composition(top,top),complement(converse(complement(composition(top,top))))) != complement(converse(complement(composition(top,top))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) != composition(top,top)
| composition(top,top) = complement(converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))) ),[0],$fot(composition(top,top))]]) ).
cnf(refute_0_2446,plain,
( join(composition(top,top),complement(converse(complement(composition(top,top))))) != complement(converse(complement(composition(top,top))))
| composition(top,top) = complement(converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),composition(top,top)) )],[refute_0_2444,refute_0_2445]) ).
cnf(refute_0_2447,plain,
( complement(converse(complement(composition(top,top)))) != top
| composition(top,top) != complement(converse(complement(composition(top,top))))
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),complement(converse(complement(composition(top,top))))) ),[1],$fot(top)]]) ).
cnf(refute_0_2448,plain,
( composition(top,top) != complement(converse(complement(composition(top,top))))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),top) )],[refute_0_2437,refute_0_2447]) ).
cnf(refute_0_2449,plain,
( join(composition(top,top),complement(converse(complement(composition(top,top))))) != complement(converse(complement(composition(top,top))))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(composition(top,top),complement(converse(complement(composition(top,top))))) )],[refute_0_2446,refute_0_2448]) ).
cnf(refute_0_2450,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))) )],[refute_0_2221,refute_0_2449]) ).
cnf(refute_0_2451,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2452,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2450,refute_0_2451]) ).
cnf(refute_0_2453,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_2106,refute_0_2452]) ).
cnf(refute_0_2454,plain,
composition(top,composition(top,X_185)) = composition(top,X_185),
inference(subst,[],[refute_0_2453:[bind(X2,$fot(X_185))]]) ).
cnf(refute_0_2455,plain,
( composition(top,composition(top,X_185)) != composition(top,X_185)
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,composition(top,X_185))))) != complement(composition(top,X_185))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = complement(composition(top,X_185)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,composition(top,X_185))))),complement(composition(top,X_185))) ),[0,1,1,0],$fot(composition(top,X_185))]]) ).
cnf(refute_0_2456,plain,
( join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,composition(top,X_185))))) != complement(composition(top,X_185))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = complement(composition(top,X_185)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_185)),composition(top,X_185)) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = complement(composition(top,X_185)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,composition(top,X_185))))),complement(composition(top,X_185))) )],[refute_0_2104,refute_0_2456]) ).
cnf(refute_0_2458,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_2459,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_2460,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_2458,refute_0_2459]) ).
cnf(refute_0_2461,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_2460]) ).
cnf(refute_0_2462,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2463,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_2461,refute_0_2462]) ).
cnf(refute_0_2464,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_2463]) ).
cnf(refute_0_2465,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_2466,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2467,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_2465,refute_0_2466]) ).
cnf(refute_0_2468,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_2464,refute_0_2467]) ).
cnf(refute_0_2469,plain,
composition(join(one,converse(top)),complement(composition(top,X_185))) = composition(join(one,converse(top)),complement(composition(top,X_185))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_185))))]]) ).
cnf(refute_0_2470,plain,
( composition(join(one,converse(top)),complement(composition(top,X_185))) != composition(join(one,converse(top)),complement(composition(top,X_185)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_185))) = composition(top,complement(composition(top,X_185))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_185))),composition(join(one,converse(top)),complement(composition(top,X_185)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2471,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_185))) = composition(top,complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_185))),composition(join(one,converse(top)),complement(composition(top,X_185)))) )],[refute_0_2469,refute_0_2470]) ).
cnf(refute_0_2472,plain,
composition(join(one,converse(top)),complement(composition(top,X_185))) = composition(top,complement(composition(top,X_185))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_2468,refute_0_2471]) ).
cnf(refute_0_2473,plain,
composition(join(converse(top),one),complement(composition(top,X_185))) = composition(join(one,converse(top)),complement(composition(top,X_185))),
inference(subst,[],[refute_0_2240:[bind(X_174,$fot(converse(top))),bind(X_175,$fot(one)),bind(X_176,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_2474,plain,
join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(join(converse(top),one),complement(composition(top,X_185))),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(converse(top))),bind(X_176,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_2475,plain,
( composition(join(converse(top),one),complement(composition(top,X_185))) != composition(join(one,converse(top)),complement(composition(top,X_185)))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) != composition(join(converse(top),one),complement(composition(top,X_185)))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(join(one,converse(top)),complement(composition(top,X_185))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_185))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_185)))))]]) ).
cnf(refute_0_2476,plain,
( composition(join(converse(top),one),complement(composition(top,X_185))) != composition(join(one,converse(top)),complement(composition(top,X_185)))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(join(one,converse(top)),complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))),composition(join(converse(top),one),complement(composition(top,X_185)))) )],[refute_0_2474,refute_0_2475]) ).
cnf(refute_0_2477,plain,
join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(join(one,converse(top)),complement(composition(top,X_185))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_185))),composition(join(one,converse(top)),complement(composition(top,X_185)))) )],[refute_0_2473,refute_0_2476]) ).
cnf(refute_0_2478,plain,
( composition(join(one,converse(top)),complement(composition(top,X_185))) != composition(top,complement(composition(top,X_185)))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) != composition(join(one,converse(top)),complement(composition(top,X_185)))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(top,complement(composition(top,X_185))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_185))))),bind(Z,$fot(composition(top,complement(composition(top,X_185)))))]]) ).
cnf(refute_0_2479,plain,
( composition(join(one,converse(top)),complement(composition(top,X_185))) != composition(top,complement(composition(top,X_185)))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(top,complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))),composition(join(one,converse(top)),complement(composition(top,X_185)))) )],[refute_0_2477,refute_0_2478]) ).
cnf(refute_0_2480,plain,
join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) = composition(top,complement(composition(top,X_185))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_185))),composition(top,complement(composition(top,X_185)))) )],[refute_0_2472,refute_0_2479]) ).
cnf(refute_0_2481,plain,
( join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) != complement(composition(top,X_185))
| join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) != composition(top,complement(composition(top,X_185)))
| composition(top,complement(composition(top,X_185))) = complement(composition(top,X_185)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))),complement(composition(top,X_185))) ),[0],$fot(composition(top,complement(composition(top,X_185))))]]) ).
cnf(refute_0_2482,plain,
( join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))) != complement(composition(top,X_185))
| composition(top,complement(composition(top,X_185))) = complement(composition(top,X_185)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))),composition(top,complement(composition(top,X_185)))) )],[refute_0_2480,refute_0_2481]) ).
cnf(refute_0_2483,plain,
composition(top,complement(composition(top,X_185))) = complement(composition(top,X_185)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_185)),composition(converse(top),complement(composition(top,X_185)))),complement(composition(top,X_185))) )],[refute_0_2457,refute_0_2482]) ).
cnf(refute_0_2484,plain,
composition(top,complement(composition(top,complement(converse(X0))))) = complement(composition(top,complement(converse(X0)))),
inference(subst,[],[refute_0_2483:[bind(X_185,$fot(complement(converse(X0))))]]) ).
cnf(refute_0_2485,plain,
converse(composition(top,complement(composition(top,complement(converse(X0)))))) = converse(composition(top,complement(composition(top,complement(converse(X0)))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,complement(converse(X0)))))))]]) ).
cnf(refute_0_2486,plain,
( composition(top,complement(composition(top,complement(converse(X0))))) != complement(composition(top,complement(converse(X0))))
| converse(composition(top,complement(composition(top,complement(converse(X0)))))) != converse(composition(top,complement(composition(top,complement(converse(X0))))))
| converse(composition(top,complement(composition(top,complement(converse(X0)))))) = converse(complement(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(X0)))))),converse(composition(top,complement(composition(top,complement(converse(X0))))))) ),[1,0],$fot(complement(composition(top,complement(converse(X0)))))]]) ).
cnf(refute_0_2487,plain,
( composition(top,complement(composition(top,complement(converse(X0))))) != complement(composition(top,complement(converse(X0))))
| converse(composition(top,complement(composition(top,complement(converse(X0)))))) = converse(complement(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(X0)))))),converse(composition(top,complement(composition(top,complement(converse(X0))))))) )],[refute_0_2485,refute_0_2486]) ).
cnf(refute_0_2488,plain,
converse(composition(top,complement(composition(top,complement(converse(X0)))))) = converse(complement(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(converse(X0))))),complement(composition(top,complement(converse(X0))))) )],[refute_0_2484,refute_0_2487]) ).
cnf(refute_0_2489,plain,
join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) = join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))))]]) ).
cnf(refute_0_2490,plain,
( converse(composition(top,complement(composition(top,complement(converse(X0)))))) != converse(complement(composition(top,complement(converse(X0)))))
| join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) ),[1,1],$fot(converse(complement(composition(top,complement(converse(X0))))))]]) ).
cnf(refute_0_2491,plain,
( converse(composition(top,complement(composition(top,complement(converse(X0)))))) != converse(complement(composition(top,complement(converse(X0)))))
| join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) )],[refute_0_2489,refute_0_2490]) ).
cnf(refute_0_2492,plain,
join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) = join(X0,converse(complement(composition(top,complement(converse(X0)))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(X0)))))),converse(complement(composition(top,complement(converse(X0)))))) )],[refute_0_2488,refute_0_2491]) ).
cnf(refute_0_2493,plain,
( X0 != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| X0 = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(X0,converse(complement(composition(top,complement(converse(X0))))))) ),[0],$fot(join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))))]]) ).
cnf(refute_0_2494,plain,
( X0 != join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))
| X0 = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(top,complement(composition(top,complement(converse(X0))))))),join(X0,converse(complement(composition(top,complement(converse(X0))))))) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
X0 = join(X0,converse(complement(composition(top,complement(converse(X0)))))),
inference(resolve,[$cnf( $equal(X0,join(X0,converse(composition(top,complement(composition(top,complement(converse(X0)))))))) )],[refute_0_2103,refute_0_2494]) ).
cnf(refute_0_2496,plain,
X_149 = join(X_149,converse(complement(composition(top,complement(converse(X_149)))))),
inference(subst,[],[refute_0_2495:[bind(X0,$fot(X_149))]]) ).
cnf(refute_0_2497,plain,
( X_149 != join(X_149,converse(complement(composition(top,complement(converse(X_149))))))
| join(X_149,converse(complement(composition(top,complement(converse(X_149)))))) = X_149 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_149)),bind(Y,$fot(join(X_149,converse(complement(composition(top,complement(converse(X_149))))))))]]) ).
cnf(refute_0_2498,plain,
join(X_149,converse(complement(composition(top,complement(converse(X_149)))))) = X_149,
inference(resolve,[$cnf( $equal(X_149,join(X_149,converse(complement(composition(top,complement(converse(X_149))))))) )],[refute_0_2496,refute_0_2497]) ).
cnf(refute_0_2499,plain,
( join(X_149,converse(complement(composition(top,complement(converse(X_149)))))) != X_149
| join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(join(X_149,converse(complement(composition(top,complement(converse(X_149)))))))) != top
| join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(join(X_149,converse(complement(composition(top,complement(converse(X_149)))))))),top) ),[0,1,0],$fot(X_149)]]) ).
cnf(refute_0_2500,plain,
( join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(join(X_149,converse(complement(composition(top,complement(converse(X_149)))))))) != top
| join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = top ),
inference(resolve,[$cnf( $equal(join(X_149,converse(complement(composition(top,complement(converse(X_149)))))),X_149) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(join(X_149,converse(complement(composition(top,complement(converse(X_149)))))))),top) )],[refute_0_2091,refute_0_2500]) ).
cnf(refute_0_2502,plain,
complement(complement(composition(top,complement(converse(X_149))))) = composition(top,complement(converse(X_149))),
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(composition(top,complement(converse(X_149)))))]]) ).
cnf(refute_0_2503,plain,
converse(converse(complement(composition(top,complement(converse(X_149)))))) = complement(composition(top,complement(converse(X_149)))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(complement(composition(top,complement(converse(X_149))))))]]) ).
cnf(refute_0_2504,plain,
complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))]]) ).
cnf(refute_0_2505,plain,
( complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) != complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))
| converse(converse(complement(composition(top,complement(converse(X_149)))))) != complement(composition(top,complement(converse(X_149))))
| complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = complement(complement(composition(top,complement(converse(X_149))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) ),[1,0],$fot(complement(composition(top,complement(converse(X_149)))))]]) ).
cnf(refute_0_2506,plain,
( converse(converse(complement(composition(top,complement(converse(X_149)))))) != complement(composition(top,complement(converse(X_149))))
| complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = complement(complement(composition(top,complement(converse(X_149))))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) )],[refute_0_2504,refute_0_2505]) ).
cnf(refute_0_2507,plain,
complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = complement(complement(composition(top,complement(converse(X_149))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,complement(converse(X_149)))))),complement(composition(top,complement(converse(X_149))))) )],[refute_0_2503,refute_0_2506]) ).
cnf(refute_0_2508,plain,
( complement(complement(composition(top,complement(converse(X_149))))) != composition(top,complement(converse(X_149)))
| complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) != complement(complement(composition(top,complement(converse(X_149)))))
| complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = composition(top,complement(converse(X_149))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))),bind(Y,$fot(complement(complement(composition(top,complement(converse(X_149))))))),bind(Z,$fot(composition(top,complement(converse(X_149)))))]]) ).
cnf(refute_0_2509,plain,
( complement(complement(composition(top,complement(converse(X_149))))) != composition(top,complement(converse(X_149)))
| complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = composition(top,complement(converse(X_149))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),complement(complement(composition(top,complement(converse(X_149)))))) )],[refute_0_2507,refute_0_2508]) ).
cnf(refute_0_2510,plain,
complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) = composition(top,complement(converse(X_149))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(converse(X_149))))),composition(top,complement(converse(X_149)))) )],[refute_0_2502,refute_0_2509]) ).
cnf(refute_0_2511,plain,
join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) = join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))),
introduced(tautology,[refl,[$fot(join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))))]]) ).
cnf(refute_0_2512,plain,
( complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) != composition(top,complement(converse(X_149)))
| join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) != join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))
| join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) = join(converse(X_149),composition(top,complement(converse(X_149)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))),join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))) ),[1,1],$fot(composition(top,complement(converse(X_149))))]]) ).
cnf(refute_0_2513,plain,
( complement(converse(converse(complement(composition(top,complement(converse(X_149))))))) != composition(top,complement(converse(X_149)))
| join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) = join(converse(X_149),composition(top,complement(converse(X_149)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))),join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))) )],[refute_0_2511,refute_0_2512]) ).
cnf(refute_0_2514,plain,
join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) = join(converse(X_149),composition(top,complement(converse(X_149)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),composition(top,complement(converse(X_149)))) )],[refute_0_2510,refute_0_2513]) ).
cnf(refute_0_2515,plain,
join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))),bind(X1,$fot(converse(X_149)))]]) ).
cnf(refute_0_2516,plain,
( join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) != join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))
| join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) != join(converse(X_149),composition(top,complement(converse(X_149))))
| join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = join(converse(X_149),composition(top,complement(converse(X_149)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)))),bind(Y,$fot(join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))))),bind(Z,$fot(join(converse(X_149),composition(top,complement(converse(X_149))))))]]) ).
cnf(refute_0_2517,plain,
( join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))) != join(converse(X_149),composition(top,complement(converse(X_149))))
| join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = join(converse(X_149),composition(top,complement(converse(X_149)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)),join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149))))))))) )],[refute_0_2515,refute_0_2516]) ).
cnf(refute_0_2518,plain,
join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) = join(converse(X_149),composition(top,complement(converse(X_149)))),
inference(resolve,[$cnf( $equal(join(converse(X_149),complement(converse(converse(complement(composition(top,complement(converse(X_149)))))))),join(converse(X_149),composition(top,complement(converse(X_149))))) )],[refute_0_2514,refute_0_2517]) ).
cnf(refute_0_2519,plain,
( join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) != join(converse(X_149),composition(top,complement(converse(X_149))))
| join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) != top
| join(converse(X_149),composition(top,complement(converse(X_149)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)),top) ),[0],$fot(join(converse(X_149),composition(top,complement(converse(X_149)))))]]) ).
cnf(refute_0_2520,plain,
( join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)) != top
| join(converse(X_149),composition(top,complement(converse(X_149)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)),join(converse(X_149),composition(top,complement(converse(X_149))))) )],[refute_0_2518,refute_0_2519]) ).
cnf(refute_0_2521,plain,
join(converse(X_149),composition(top,complement(converse(X_149)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(composition(top,complement(converse(X_149))))))),converse(X_149)),top) )],[refute_0_2501,refute_0_2520]) ).
cnf(refute_0_2522,plain,
join(converse(converse(X0)),composition(top,complement(converse(converse(X0))))) = top,
inference(subst,[],[refute_0_2521:[bind(X_149,$fot(converse(X0)))]]) ).
cnf(refute_0_2523,plain,
( converse(converse(X0)) != X0
| join(converse(converse(X0)),composition(top,complement(converse(converse(X0))))) != top
| join(converse(converse(X0)),composition(top,complement(X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(converse(converse(X0))))),top) ),[0,1,1,0],$fot(X0)]]) ).
cnf(refute_0_2524,plain,
( join(converse(converse(X0)),composition(top,complement(converse(converse(X0))))) != top
| join(converse(converse(X0)),composition(top,complement(X0))) = top ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_2523]) ).
cnf(refute_0_2525,plain,
join(converse(converse(X0)),composition(top,complement(X0))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(converse(converse(X0))))),top) )],[refute_0_2522,refute_0_2524]) ).
cnf(refute_0_2526,plain,
join(converse(converse(X0)),composition(top,complement(X0))) = join(converse(converse(X0)),composition(top,complement(X0))),
introduced(tautology,[refl,[$fot(join(converse(converse(X0)),composition(top,complement(X0))))]]) ).
cnf(refute_0_2527,plain,
( converse(converse(X0)) != X0
| join(converse(converse(X0)),composition(top,complement(X0))) != join(converse(converse(X0)),composition(top,complement(X0)))
| join(converse(converse(X0)),composition(top,complement(X0))) = join(X0,composition(top,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(X0))),join(converse(converse(X0)),composition(top,complement(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_2528,plain,
( converse(converse(X0)) != X0
| join(converse(converse(X0)),composition(top,complement(X0))) = join(X0,composition(top,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(X0))),join(converse(converse(X0)),composition(top,complement(X0)))) )],[refute_0_2526,refute_0_2527]) ).
cnf(refute_0_2529,plain,
join(converse(converse(X0)),composition(top,complement(X0))) = join(X0,composition(top,complement(X0))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_2528]) ).
cnf(refute_0_2530,plain,
( join(converse(converse(X0)),composition(top,complement(X0))) != join(X0,composition(top,complement(X0)))
| join(converse(converse(X0)),composition(top,complement(X0))) != top
| join(X0,composition(top,complement(X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(X0))),top) ),[0],$fot(join(X0,composition(top,complement(X0))))]]) ).
cnf(refute_0_2531,plain,
( join(converse(converse(X0)),composition(top,complement(X0))) != top
| join(X0,composition(top,complement(X0))) = top ),
inference(resolve,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(X0))),join(X0,composition(top,complement(X0)))) )],[refute_0_2529,refute_0_2530]) ).
cnf(refute_0_2532,plain,
join(X0,composition(top,complement(X0))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(X0)),composition(top,complement(X0))),top) )],[refute_0_2525,refute_0_2531]) ).
cnf(refute_0_2533,plain,
join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427))))) = top,
inference(subst,[],[refute_0_2532:[bind(X0,$fot(complement(converse(X_427))))]]) ).
cnf(refute_0_2534,plain,
( X_427 != meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427)))))))))
| join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427))))) != top
| X_427 = meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_427,meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427)))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_2535,plain,
( X_427 != meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427)))))))))
| X_427 = meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427))))),top) )],[refute_0_2533,refute_0_2534]) ).
cnf(refute_0_2536,plain,
X_427 = meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))),
inference(resolve,[$cnf( $equal(X_427,meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(join(complement(converse(X_427)),composition(top,complement(complement(converse(X_427)))))))))) )],[refute_0_2090,refute_0_2535]) ).
cnf(refute_0_2537,plain,
converse(converse(composition(X_427,top))) = composition(X_427,top),
inference(subst,[],[refute_0_54:[bind(X0,$fot(composition(X_427,top)))]]) ).
cnf(refute_0_2538,plain,
join(zero,converse(composition(X_427,top))) = converse(composition(X_427,top)),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(converse(composition(X_427,top))))]]) ).
cnf(refute_0_2539,plain,
converse(composition(X_18,converse(X0))) = composition(converse(converse(X0)),converse(X_18)),
inference(subst,[],[refute_0_219:[bind(X0,$fot(X_18)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_2540,plain,
( converse(composition(X_18,converse(X0))) != composition(converse(converse(X0)),converse(X_18))
| converse(converse(X0)) != X0
| converse(composition(X_18,converse(X0))) = composition(X0,converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,converse(X0))),composition(converse(converse(X0)),converse(X_18))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_2541,plain,
( converse(composition(X_18,converse(X0))) != composition(converse(converse(X0)),converse(X_18))
| converse(composition(X_18,converse(X0))) = composition(X0,converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_2540]) ).
cnf(refute_0_2542,plain,
converse(composition(X_18,converse(X0))) = composition(X0,converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(X0))),composition(converse(converse(X0)),converse(X_18))) )],[refute_0_2539,refute_0_2541]) ).
cnf(refute_0_2543,plain,
converse(composition(X_18,converse(top))) = composition(top,converse(X_18)),
inference(subst,[],[refute_0_2542:[bind(X0,$fot(top))]]) ).
cnf(refute_0_2544,plain,
( converse(composition(X_18,converse(top))) != composition(top,converse(X_18))
| converse(top) != top
| converse(composition(X_18,top)) = composition(top,converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,converse(top))),composition(top,converse(X_18))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_2545,plain,
( converse(composition(X_18,converse(top))) != composition(top,converse(X_18))
| converse(composition(X_18,top)) = composition(top,converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_2544]) ).
cnf(refute_0_2546,plain,
converse(composition(X_18,top)) = composition(top,converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(top))),composition(top,converse(X_18))) )],[refute_0_2543,refute_0_2545]) ).
cnf(refute_0_2547,plain,
( converse(composition(X_18,top)) != composition(top,converse(X_18))
| composition(top,converse(X_18)) = converse(composition(X_18,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_18,top)))),bind(Y,$fot(composition(top,converse(X_18))))]]) ).
cnf(refute_0_2548,plain,
composition(top,converse(X_18)) = converse(composition(X_18,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,top)),composition(top,converse(X_18))) )],[refute_0_2546,refute_0_2547]) ).
cnf(refute_0_2549,plain,
composition(top,converse(X_427)) = converse(composition(X_427,top)),
inference(subst,[],[refute_0_2548:[bind(X_18,$fot(X_427))]]) ).
cnf(refute_0_2550,plain,
complement(complement(converse(X_427))) = converse(X_427),
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(converse(X_427)))]]) ).
cnf(refute_0_2551,plain,
composition(top,complement(complement(converse(X_427)))) = composition(top,complement(complement(converse(X_427)))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(converse(X_427)))))]]) ).
cnf(refute_0_2552,plain,
( complement(complement(converse(X_427))) != converse(X_427)
| composition(top,complement(complement(converse(X_427)))) != composition(top,complement(complement(converse(X_427))))
| composition(top,complement(complement(converse(X_427)))) = composition(top,converse(X_427)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(converse(X_427)))),composition(top,complement(complement(converse(X_427))))) ),[1,1],$fot(converse(X_427))]]) ).
cnf(refute_0_2553,plain,
( complement(complement(converse(X_427))) != converse(X_427)
| composition(top,complement(complement(converse(X_427)))) = composition(top,converse(X_427)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(X_427)))),composition(top,complement(complement(converse(X_427))))) )],[refute_0_2551,refute_0_2552]) ).
cnf(refute_0_2554,plain,
composition(top,complement(complement(converse(X_427)))) = composition(top,converse(X_427)),
inference(resolve,[$cnf( $equal(complement(complement(converse(X_427))),converse(X_427)) )],[refute_0_2550,refute_0_2553]) ).
cnf(refute_0_2555,plain,
( composition(top,complement(complement(converse(X_427)))) != composition(top,converse(X_427))
| composition(top,converse(X_427)) != converse(composition(X_427,top))
| composition(top,complement(complement(converse(X_427)))) = converse(composition(X_427,top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(top,complement(complement(converse(X_427)))))),bind(Y,$fot(composition(top,converse(X_427)))),bind(Z,$fot(converse(composition(X_427,top))))]]) ).
cnf(refute_0_2556,plain,
( composition(top,converse(X_427)) != converse(composition(X_427,top))
| composition(top,complement(complement(converse(X_427)))) = converse(composition(X_427,top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(X_427)))),composition(top,converse(X_427))) )],[refute_0_2554,refute_0_2555]) ).
cnf(refute_0_2557,plain,
composition(top,complement(complement(converse(X_427)))) = converse(composition(X_427,top)),
inference(resolve,[$cnf( $equal(composition(top,converse(X_427)),converse(composition(X_427,top))) )],[refute_0_2549,refute_0_2556]) ).
cnf(refute_0_2558,plain,
join(zero,composition(top,complement(complement(converse(X_427))))) = join(zero,composition(top,complement(complement(converse(X_427))))),
introduced(tautology,[refl,[$fot(join(zero,composition(top,complement(complement(converse(X_427))))))]]) ).
cnf(refute_0_2559,plain,
( composition(top,complement(complement(converse(X_427)))) != converse(composition(X_427,top))
| join(zero,composition(top,complement(complement(converse(X_427))))) != join(zero,composition(top,complement(complement(converse(X_427)))))
| join(zero,composition(top,complement(complement(converse(X_427))))) = join(zero,converse(composition(X_427,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(complement(converse(X_427))))),join(zero,composition(top,complement(complement(converse(X_427)))))) ),[1,1],$fot(converse(composition(X_427,top)))]]) ).
cnf(refute_0_2560,plain,
( composition(top,complement(complement(converse(X_427)))) != converse(composition(X_427,top))
| join(zero,composition(top,complement(complement(converse(X_427))))) = join(zero,converse(composition(X_427,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(complement(converse(X_427))))),join(zero,composition(top,complement(complement(converse(X_427)))))) )],[refute_0_2558,refute_0_2559]) ).
cnf(refute_0_2561,plain,
join(zero,composition(top,complement(complement(converse(X_427))))) = join(zero,converse(composition(X_427,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(X_427)))),converse(composition(X_427,top))) )],[refute_0_2557,refute_0_2560]) ).
cnf(refute_0_2562,plain,
join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(complement(top),composition(top,complement(complement(converse(X_427))))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(top,complement(complement(converse(X_427))))))]]) ).
cnf(refute_0_2563,plain,
( complement(top) != zero
| join(complement(top),composition(top,complement(complement(converse(X_427))))) != join(complement(top),composition(top,complement(complement(converse(X_427)))))
| join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(zero,composition(top,complement(complement(converse(X_427))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(top,complement(complement(converse(X_427))))),join(complement(top),composition(top,complement(complement(converse(X_427)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2564,plain,
( complement(top) != zero
| join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(zero,composition(top,complement(complement(converse(X_427))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(complement(converse(X_427))))),join(complement(top),composition(top,complement(complement(converse(X_427)))))) )],[refute_0_2562,refute_0_2563]) ).
cnf(refute_0_2565,plain,
join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(zero,composition(top,complement(complement(converse(X_427))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_2564]) ).
cnf(refute_0_2566,plain,
( join(complement(top),composition(top,complement(complement(converse(X_427))))) != join(zero,composition(top,complement(complement(converse(X_427)))))
| join(zero,composition(top,complement(complement(converse(X_427))))) != join(zero,converse(composition(X_427,top)))
| join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(zero,converse(composition(X_427,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),composition(top,complement(complement(converse(X_427))))))),bind(Y,$fot(join(zero,composition(top,complement(complement(converse(X_427))))))),bind(Z,$fot(join(zero,converse(composition(X_427,top)))))]]) ).
cnf(refute_0_2567,plain,
( join(zero,composition(top,complement(complement(converse(X_427))))) != join(zero,converse(composition(X_427,top)))
| join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(zero,converse(composition(X_427,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(complement(converse(X_427))))),join(zero,composition(top,complement(complement(converse(X_427)))))) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
join(complement(top),composition(top,complement(complement(converse(X_427))))) = join(zero,converse(composition(X_427,top))),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(complement(converse(X_427))))),join(zero,converse(composition(X_427,top)))) )],[refute_0_2561,refute_0_2567]) ).
cnf(refute_0_2569,plain,
( join(complement(top),composition(top,complement(complement(converse(X_427))))) != join(zero,converse(composition(X_427,top)))
| join(zero,converse(composition(X_427,top))) != converse(composition(X_427,top))
| join(complement(top),composition(top,complement(complement(converse(X_427))))) = converse(composition(X_427,top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),composition(top,complement(complement(converse(X_427))))))),bind(Y,$fot(join(zero,converse(composition(X_427,top))))),bind(Z,$fot(converse(composition(X_427,top))))]]) ).
cnf(refute_0_2570,plain,
( join(zero,converse(composition(X_427,top))) != converse(composition(X_427,top))
| join(complement(top),composition(top,complement(complement(converse(X_427))))) = converse(composition(X_427,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(complement(converse(X_427))))),join(zero,converse(composition(X_427,top)))) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
join(complement(top),composition(top,complement(complement(converse(X_427))))) = converse(composition(X_427,top)),
inference(resolve,[$cnf( $equal(join(zero,converse(composition(X_427,top))),converse(composition(X_427,top))) )],[refute_0_2538,refute_0_2570]) ).
cnf(refute_0_2572,plain,
converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))))]]) ).
cnf(refute_0_2573,plain,
( converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) != converse(join(complement(top),composition(top,complement(complement(converse(X_427))))))
| join(complement(top),composition(top,complement(complement(converse(X_427))))) != converse(composition(X_427,top))
| converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = converse(converse(composition(X_427,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))),converse(join(complement(top),composition(top,complement(complement(converse(X_427))))))) ),[1,0],$fot(converse(composition(X_427,top)))]]) ).
cnf(refute_0_2574,plain,
( join(complement(top),composition(top,complement(complement(converse(X_427))))) != converse(composition(X_427,top))
| converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = converse(converse(composition(X_427,top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))),converse(join(complement(top),composition(top,complement(complement(converse(X_427))))))) )],[refute_0_2572,refute_0_2573]) ).
cnf(refute_0_2575,plain,
converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = converse(converse(composition(X_427,top))),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(complement(converse(X_427))))),converse(composition(X_427,top))) )],[refute_0_2571,refute_0_2574]) ).
cnf(refute_0_2576,plain,
( converse(converse(composition(X_427,top))) != composition(X_427,top)
| converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) != converse(converse(composition(X_427,top)))
| converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = composition(X_427,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))))),bind(Y,$fot(converse(converse(composition(X_427,top))))),bind(Z,$fot(composition(X_427,top)))]]) ).
cnf(refute_0_2577,plain,
( converse(converse(composition(X_427,top))) != composition(X_427,top)
| converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = composition(X_427,top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))),converse(converse(composition(X_427,top)))) )],[refute_0_2575,refute_0_2576]) ).
cnf(refute_0_2578,plain,
converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) = composition(X_427,top),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_427,top))),composition(X_427,top)) )],[refute_0_2537,refute_0_2577]) ).
cnf(refute_0_2579,plain,
converse(join(join(X_15,X_16),X1)) = join(converse(join(X_15,X_16)),converse(X1)),
inference(subst,[],[refute_0_533:[bind(X0,$fot(join(X_15,X_16)))]]) ).
cnf(refute_0_2580,plain,
( converse(join(X_15,X_16)) != converse(join(X_16,X_15))
| converse(join(join(X_15,X_16),X1)) != join(converse(join(X_15,X_16)),converse(X1))
| converse(join(join(X_15,X_16),X1)) = join(converse(join(X_16,X_15)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),join(converse(join(X_15,X_16)),converse(X1))) ),[1,0],$fot(converse(join(X_16,X_15)))]]) ).
cnf(refute_0_2581,plain,
( converse(join(join(X_15,X_16),X1)) != join(converse(join(X_15,X_16)),converse(X1))
| converse(join(join(X_15,X_16),X1)) = join(converse(join(X_16,X_15)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,X_16)),converse(join(X_16,X_15))) )],[refute_0_584,refute_0_2580]) ).
cnf(refute_0_2582,plain,
converse(join(join(X_15,X_16),X1)) = join(converse(join(X_16,X_15)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),join(converse(join(X_15,X_16)),converse(X1))) )],[refute_0_2579,refute_0_2581]) ).
cnf(refute_0_2583,plain,
join(join(X_15,X_16),X1) = join(X_15,join(X_16,X1)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_15)),bind(X1,$fot(X_16)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2584,plain,
converse(join(join(X_15,X_16),X1)) = converse(join(join(X_15,X_16),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_15,X_16),X1)))]]) ).
cnf(refute_0_2585,plain,
( converse(join(join(X_15,X_16),X1)) != converse(join(join(X_15,X_16),X1))
| join(join(X_15,X_16),X1) != join(X_15,join(X_16,X1))
| converse(join(join(X_15,X_16),X1)) = converse(join(X_15,join(X_16,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),converse(join(join(X_15,X_16),X1))) ),[1,0],$fot(join(X_15,join(X_16,X1)))]]) ).
cnf(refute_0_2586,plain,
( join(join(X_15,X_16),X1) != join(X_15,join(X_16,X1))
| converse(join(join(X_15,X_16),X1)) = converse(join(X_15,join(X_16,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),converse(join(join(X_15,X_16),X1))) )],[refute_0_2584,refute_0_2585]) ).
cnf(refute_0_2587,plain,
converse(join(join(X_15,X_16),X1)) = converse(join(X_15,join(X_16,X1))),
inference(resolve,[$cnf( $equal(join(join(X_15,X_16),X1),join(X_15,join(X_16,X1))) )],[refute_0_2583,refute_0_2586]) ).
cnf(refute_0_2588,plain,
( converse(join(join(X_15,X_16),X1)) != converse(join(X_15,join(X_16,X1)))
| converse(join(join(X_15,X_16),X1)) != join(converse(join(X_16,X_15)),converse(X1))
| converse(join(X_15,join(X_16,X1))) = join(converse(join(X_16,X_15)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),join(converse(join(X_16,X_15)),converse(X1))) ),[0],$fot(converse(join(X_15,join(X_16,X1))))]]) ).
cnf(refute_0_2589,plain,
( converse(join(join(X_15,X_16),X1)) != join(converse(join(X_16,X_15)),converse(X1))
| converse(join(X_15,join(X_16,X1))) = join(converse(join(X_16,X_15)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),converse(join(X_15,join(X_16,X1)))) )],[refute_0_2587,refute_0_2588]) ).
cnf(refute_0_2590,plain,
join(join(X_16,X_15),X1) = join(X_16,join(X_15,X1)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_16)),bind(X1,$fot(X_15)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2591,plain,
converse(join(join(X_16,X_15),X1)) = converse(join(join(X_16,X_15),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_16,X_15),X1)))]]) ).
cnf(refute_0_2592,plain,
( converse(join(join(X_16,X_15),X1)) != converse(join(join(X_16,X_15),X1))
| join(join(X_16,X_15),X1) != join(X_16,join(X_15,X1))
| converse(join(join(X_16,X_15),X1)) = converse(join(X_16,join(X_15,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_16,X_15),X1)),converse(join(join(X_16,X_15),X1))) ),[1,0],$fot(join(X_16,join(X_15,X1)))]]) ).
cnf(refute_0_2593,plain,
( join(join(X_16,X_15),X1) != join(X_16,join(X_15,X1))
| converse(join(join(X_16,X_15),X1)) = converse(join(X_16,join(X_15,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_16,X_15),X1)),converse(join(join(X_16,X_15),X1))) )],[refute_0_2591,refute_0_2592]) ).
cnf(refute_0_2594,plain,
converse(join(join(X_16,X_15),X1)) = converse(join(X_16,join(X_15,X1))),
inference(resolve,[$cnf( $equal(join(join(X_16,X_15),X1),join(X_16,join(X_15,X1))) )],[refute_0_2590,refute_0_2593]) ).
cnf(refute_0_2595,plain,
join(converse(join(X_16,X_15)),converse(X1)) = converse(join(join(X_16,X_15),X1)),
inference(subst,[],[refute_0_555:[bind(X0,$fot(join(X_16,X_15)))]]) ).
cnf(refute_0_2596,plain,
( converse(join(join(X_16,X_15),X1)) != converse(join(X_16,join(X_15,X1)))
| join(converse(join(X_16,X_15)),converse(X1)) != converse(join(join(X_16,X_15),X1))
| join(converse(join(X_16,X_15)),converse(X1)) = converse(join(X_16,join(X_15,X1))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(X_16,X_15)),converse(X1)))),bind(Y,$fot(converse(join(join(X_16,X_15),X1)))),bind(Z,$fot(converse(join(X_16,join(X_15,X1)))))]]) ).
cnf(refute_0_2597,plain,
( converse(join(join(X_16,X_15),X1)) != converse(join(X_16,join(X_15,X1)))
| join(converse(join(X_16,X_15)),converse(X1)) = converse(join(X_16,join(X_15,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_16,X_15)),converse(X1)),converse(join(join(X_16,X_15),X1))) )],[refute_0_2595,refute_0_2596]) ).
cnf(refute_0_2598,plain,
join(converse(join(X_16,X_15)),converse(X1)) = converse(join(X_16,join(X_15,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_16,X_15),X1)),converse(join(X_16,join(X_15,X1)))) )],[refute_0_2594,refute_0_2597]) ).
cnf(refute_0_2599,plain,
( converse(join(X_15,join(X_16,X1))) != join(converse(join(X_16,X_15)),converse(X1))
| join(converse(join(X_16,X_15)),converse(X1)) != converse(join(X_16,join(X_15,X1)))
| converse(join(X_15,join(X_16,X1))) = converse(join(X_16,join(X_15,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_15,join(X_16,X1))),converse(join(X_16,join(X_15,X1)))) ),[0],$fot(join(converse(join(X_16,X_15)),converse(X1)))]]) ).
cnf(refute_0_2600,plain,
( converse(join(X_15,join(X_16,X1))) != join(converse(join(X_16,X_15)),converse(X1))
| converse(join(X_15,join(X_16,X1))) = converse(join(X_16,join(X_15,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_16,X_15)),converse(X1)),converse(join(X_16,join(X_15,X1)))) )],[refute_0_2598,refute_0_2599]) ).
cnf(refute_0_2601,plain,
( converse(join(join(X_15,X_16),X1)) != join(converse(join(X_16,X_15)),converse(X1))
| converse(join(X_15,join(X_16,X1))) = converse(join(X_16,join(X_15,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,join(X_16,X1))),join(converse(join(X_16,X_15)),converse(X1))) )],[refute_0_2589,refute_0_2600]) ).
cnf(refute_0_2602,plain,
converse(join(X_15,join(X_16,X1))) = converse(join(X_16,join(X_15,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_15,X_16),X1)),join(converse(join(X_16,X_15)),converse(X1))) )],[refute_0_2582,refute_0_2601]) ).
cnf(refute_0_2603,plain,
converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = converse(join(X_16,join(complement(X_421),converse(complement(converse(X_421)))))),
inference(subst,[],[refute_0_2602:[bind(X1,$fot(converse(complement(converse(X_421))))),bind(X_15,$fot(complement(X_421)))]]) ).
cnf(refute_0_2604,plain,
( converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != converse(join(X_16,join(complement(X_421),converse(complement(converse(X_421))))))
| join(complement(X_421),converse(complement(converse(X_421)))) != converse(complement(converse(X_421)))
| converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = converse(join(X_16,converse(complement(converse(X_421))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))),converse(join(X_16,join(complement(X_421),converse(complement(converse(X_421))))))) ),[1,0,1],$fot(converse(complement(converse(X_421))))]]) ).
cnf(refute_0_2605,plain,
( converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != converse(join(X_16,join(complement(X_421),converse(complement(converse(X_421))))))
| converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = converse(join(X_16,converse(complement(converse(X_421))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_421),converse(complement(converse(X_421)))),converse(complement(converse(X_421)))) )],[refute_0_2034,refute_0_2604]) ).
cnf(refute_0_2606,plain,
converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = converse(join(X_16,converse(complement(converse(X_421))))),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))),converse(join(X_16,join(complement(X_421),converse(complement(converse(X_421))))))) )],[refute_0_2603,refute_0_2605]) ).
cnf(refute_0_2607,plain,
converse(join(converse(X0),join(X_346,X_344))) = join(X0,converse(join(X_346,X_344))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(join(X_346,X_344)))]]) ).
cnf(refute_0_2608,plain,
converse(join(converse(X0),join(X_346,X_344))) = converse(join(X_346,join(converse(X0),X_344))),
inference(subst,[],[refute_0_2602:[bind(X1,$fot(X_344)),bind(X_15,$fot(converse(X0))),bind(X_16,$fot(X_346))]]) ).
cnf(refute_0_2609,plain,
( converse(join(converse(X0),join(X_346,X_344))) != converse(join(X_346,join(converse(X0),X_344)))
| converse(join(converse(X0),join(X_346,X_344))) != join(X0,converse(join(X_346,X_344)))
| converse(join(X_346,join(converse(X0),X_344))) = join(X0,converse(join(X_346,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_346,X_344))),join(X0,converse(join(X_346,X_344)))) ),[0],$fot(converse(join(X_346,join(converse(X0),X_344))))]]) ).
cnf(refute_0_2610,plain,
( converse(join(converse(X0),join(X_346,X_344))) != join(X0,converse(join(X_346,X_344)))
| converse(join(X_346,join(converse(X0),X_344))) = join(X0,converse(join(X_346,X_344))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_346,X_344))),converse(join(X_346,join(converse(X0),X_344)))) )],[refute_0_2608,refute_0_2609]) ).
cnf(refute_0_2611,plain,
converse(join(X_346,join(converse(X0),X_344))) = join(X0,converse(join(X_346,X_344))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_346,X_344))),join(X0,converse(join(X_346,X_344)))) )],[refute_0_2607,refute_0_2610]) ).
cnf(refute_0_2612,plain,
join(join(converse(X_151),X_150),converse(X_149)) = join(converse(X_149),join(converse(X_151),X_150)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(converse(X_151),X_150))),bind(X1,$fot(converse(X_149)))]]) ).
cnf(refute_0_2613,plain,
join(converse(join(X_149,X_151)),X_150) = join(converse(X_149),join(converse(X_151),X_150)),
inference(subst,[],[refute_0_1192:[bind(X0,$fot(X_149)),bind(X_8,$fot(X_150)),bind(X_9,$fot(X_151))]]) ).
cnf(refute_0_2614,plain,
( join(converse(join(X_149,X_151)),X_150) != join(converse(X_149),join(converse(X_151),X_150))
| join(converse(X_149),join(converse(X_151),X_150)) = join(converse(join(X_149,X_151)),X_150) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X_149,X_151)),X_150))),bind(Y,$fot(join(converse(X_149),join(converse(X_151),X_150))))]]) ).
cnf(refute_0_2615,plain,
join(converse(X_149),join(converse(X_151),X_150)) = join(converse(join(X_149,X_151)),X_150),
inference(resolve,[$cnf( $equal(join(converse(join(X_149,X_151)),X_150),join(converse(X_149),join(converse(X_151),X_150))) )],[refute_0_2613,refute_0_2614]) ).
cnf(refute_0_2616,plain,
( join(converse(X_149),join(converse(X_151),X_150)) != join(converse(join(X_149,X_151)),X_150)
| join(join(converse(X_151),X_150),converse(X_149)) != join(converse(X_149),join(converse(X_151),X_150))
| join(join(converse(X_151),X_150),converse(X_149)) = join(converse(join(X_149,X_151)),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(converse(X_151),X_150),converse(X_149)),join(converse(X_149),join(converse(X_151),X_150))) ),[1],$fot(join(converse(join(X_149,X_151)),X_150))]]) ).
cnf(refute_0_2617,plain,
( join(join(converse(X_151),X_150),converse(X_149)) != join(converse(X_149),join(converse(X_151),X_150))
| join(join(converse(X_151),X_150),converse(X_149)) = join(converse(join(X_149,X_151)),X_150) ),
inference(resolve,[$cnf( $equal(join(converse(X_149),join(converse(X_151),X_150)),join(converse(join(X_149,X_151)),X_150)) )],[refute_0_2615,refute_0_2616]) ).
cnf(refute_0_2618,plain,
join(join(converse(X_151),X_150),converse(X_149)) = join(converse(join(X_149,X_151)),X_150),
inference(resolve,[$cnf( $equal(join(join(converse(X_151),X_150),converse(X_149)),join(converse(X_149),join(converse(X_151),X_150))) )],[refute_0_2612,refute_0_2617]) ).
cnf(refute_0_2619,plain,
converse(join(X_4,converse(join(X_9,converse(X_8))))) = join(converse(X_4),join(X_9,converse(X_8))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(join(X_9,converse(X_8))))]]) ).
cnf(refute_0_2620,plain,
( converse(join(X_4,converse(join(X_9,converse(X_8))))) != join(converse(X_4),join(X_9,converse(X_8)))
| converse(join(X_9,converse(X_8))) != join(converse(X_9),X_8)
| converse(join(X_4,join(converse(X_9),X_8))) = join(converse(X_4),join(X_9,converse(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_9,converse(X_8))))),join(converse(X_4),join(X_9,converse(X_8)))) ),[0,0,1],$fot(join(converse(X_9),X_8))]]) ).
cnf(refute_0_2621,plain,
( converse(join(X_4,converse(join(X_9,converse(X_8))))) != join(converse(X_4),join(X_9,converse(X_8)))
| converse(join(X_4,join(converse(X_9),X_8))) = join(converse(X_4),join(X_9,converse(X_8))) ),
inference(resolve,[$cnf( $equal(converse(join(X_9,converse(X_8))),join(converse(X_9),X_8)) )],[refute_0_1178,refute_0_2620]) ).
cnf(refute_0_2622,plain,
converse(join(X_4,join(converse(X_9),X_8))) = join(converse(X_4),join(X_9,converse(X_8))),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_9,converse(X_8))))),join(converse(X_4),join(X_9,converse(X_8)))) )],[refute_0_2619,refute_0_2621]) ).
cnf(refute_0_2623,plain,
( converse(join(X_4,join(converse(X_9),X_8))) != join(converse(X_4),join(X_9,converse(X_8)))
| join(converse(X_4),join(X_9,converse(X_8))) = converse(join(X_4,join(converse(X_9),X_8))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_4,join(converse(X_9),X_8))))),bind(Y,$fot(join(converse(X_4),join(X_9,converse(X_8)))))]]) ).
cnf(refute_0_2624,plain,
join(converse(X_4),join(X_9,converse(X_8))) = converse(join(X_4,join(converse(X_9),X_8))),
inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_9),X_8))),join(converse(X_4),join(X_9,converse(X_8)))) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
join(converse(X_151),join(X_150,converse(X_149))) = converse(join(X_151,join(converse(X_150),X_149))),
inference(subst,[],[refute_0_2624:[bind(X_4,$fot(X_151)),bind(X_8,$fot(X_149)),bind(X_9,$fot(X_150))]]) ).
cnf(refute_0_2626,plain,
join(join(converse(X_151),X_150),converse(X_149)) = join(converse(X_151),join(X_150,converse(X_149))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(converse(X_151))),bind(X1,$fot(X_150)),bind(X2,$fot(converse(X_149)))]]) ).
cnf(refute_0_2627,plain,
( join(converse(X_151),join(X_150,converse(X_149))) != converse(join(X_151,join(converse(X_150),X_149)))
| join(join(converse(X_151),X_150),converse(X_149)) != join(converse(X_151),join(X_150,converse(X_149)))
| join(join(converse(X_151),X_150),converse(X_149)) = converse(join(X_151,join(converse(X_150),X_149))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(converse(X_151),X_150),converse(X_149)))),bind(Y,$fot(join(converse(X_151),join(X_150,converse(X_149))))),bind(Z,$fot(converse(join(X_151,join(converse(X_150),X_149)))))]]) ).
cnf(refute_0_2628,plain,
( join(converse(X_151),join(X_150,converse(X_149))) != converse(join(X_151,join(converse(X_150),X_149)))
| join(join(converse(X_151),X_150),converse(X_149)) = converse(join(X_151,join(converse(X_150),X_149))) ),
inference(resolve,[$cnf( $equal(join(join(converse(X_151),X_150),converse(X_149)),join(converse(X_151),join(X_150,converse(X_149)))) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
join(join(converse(X_151),X_150),converse(X_149)) = converse(join(X_151,join(converse(X_150),X_149))),
inference(resolve,[$cnf( $equal(join(converse(X_151),join(X_150,converse(X_149))),converse(join(X_151,join(converse(X_150),X_149)))) )],[refute_0_2625,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( join(join(converse(X_151),X_150),converse(X_149)) != converse(join(X_151,join(converse(X_150),X_149)))
| join(join(converse(X_151),X_150),converse(X_149)) != join(converse(join(X_149,X_151)),X_150)
| converse(join(X_151,join(converse(X_150),X_149))) = join(converse(join(X_149,X_151)),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(converse(X_151),X_150),converse(X_149)),join(converse(join(X_149,X_151)),X_150)) ),[0],$fot(converse(join(X_151,join(converse(X_150),X_149))))]]) ).
cnf(refute_0_2631,plain,
( join(join(converse(X_151),X_150),converse(X_149)) != join(converse(join(X_149,X_151)),X_150)
| converse(join(X_151,join(converse(X_150),X_149))) = join(converse(join(X_149,X_151)),X_150) ),
inference(resolve,[$cnf( $equal(join(join(converse(X_151),X_150),converse(X_149)),converse(join(X_151,join(converse(X_150),X_149)))) )],[refute_0_2629,refute_0_2630]) ).
cnf(refute_0_2632,plain,
converse(join(X_151,join(converse(X_150),X_149))) = join(converse(join(X_149,X_151)),X_150),
inference(resolve,[$cnf( $equal(join(join(converse(X_151),X_150),converse(X_149)),join(converse(join(X_149,X_151)),X_150)) )],[refute_0_2618,refute_0_2631]) ).
cnf(refute_0_2633,plain,
converse(join(X_346,join(converse(X0),X_344))) = join(converse(join(X_344,X_346)),X0),
inference(subst,[],[refute_0_2632:[bind(X_149,$fot(X_344)),bind(X_150,$fot(X0)),bind(X_151,$fot(X_346))]]) ).
cnf(refute_0_2634,plain,
( converse(join(X_346,join(converse(X0),X_344))) != join(X0,converse(join(X_346,X_344)))
| converse(join(X_346,join(converse(X0),X_344))) != join(converse(join(X_344,X_346)),X0)
| join(converse(join(X_344,X_346)),X0) = join(X0,converse(join(X_346,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_346,join(converse(X0),X_344))),join(X0,converse(join(X_346,X_344)))) ),[0],$fot(join(converse(join(X_344,X_346)),X0))]]) ).
cnf(refute_0_2635,plain,
( converse(join(X_346,join(converse(X0),X_344))) != join(X0,converse(join(X_346,X_344)))
| join(converse(join(X_344,X_346)),X0) = join(X0,converse(join(X_346,X_344))) ),
inference(resolve,[$cnf( $equal(converse(join(X_346,join(converse(X0),X_344))),join(converse(join(X_344,X_346)),X0)) )],[refute_0_2633,refute_0_2634]) ).
cnf(refute_0_2636,plain,
join(converse(join(X_344,X_346)),X0) = join(X0,converse(join(X_346,X_344))),
inference(resolve,[$cnf( $equal(converse(join(X_346,join(converse(X0),X_344))),join(X0,converse(join(X_346,X_344)))) )],[refute_0_2611,refute_0_2635]) ).
cnf(refute_0_2637,plain,
join(converse(join(complement(X_421),X_16)),complement(converse(X_421))) = join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),
inference(subst,[],[refute_0_2636:[bind(X0,$fot(complement(converse(X_421)))),bind(X_344,$fot(complement(X_421))),bind(X_346,$fot(X_16))]]) ).
cnf(refute_0_2638,plain,
converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = join(converse(join(complement(X_421),X_16)),complement(converse(X_421))),
inference(subst,[],[refute_0_1188:[bind(X0,$fot(complement(converse(X_421)))),bind(X_56,$fot(complement(X_421))),bind(X_57,$fot(X_16))]]) ).
cnf(refute_0_2639,plain,
( converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != join(converse(join(complement(X_421),X_16)),complement(converse(X_421)))
| join(converse(join(complement(X_421),X_16)),complement(converse(X_421))) != join(complement(converse(X_421)),converse(join(X_16,complement(X_421))))
| converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))))),bind(Y,$fot(join(converse(join(complement(X_421),X_16)),complement(converse(X_421))))),bind(Z,$fot(join(complement(converse(X_421)),converse(join(X_16,complement(X_421))))))]]) ).
cnf(refute_0_2640,plain,
( join(converse(join(complement(X_421),X_16)),complement(converse(X_421))) != join(complement(converse(X_421)),converse(join(X_16,complement(X_421))))
| converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))),join(converse(join(complement(X_421),X_16)),complement(converse(X_421)))) )],[refute_0_2638,refute_0_2639]) ).
cnf(refute_0_2641,plain,
converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) = join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),
inference(resolve,[$cnf( $equal(join(converse(join(complement(X_421),X_16)),complement(converse(X_421))),join(complement(converse(X_421)),converse(join(X_16,complement(X_421))))) )],[refute_0_2637,refute_0_2640]) ).
cnf(refute_0_2642,plain,
( converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != converse(join(X_16,converse(complement(converse(X_421)))))
| converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != join(complement(converse(X_421)),converse(join(X_16,complement(X_421))))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = converse(join(X_16,converse(complement(converse(X_421))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))),converse(join(X_16,converse(complement(converse(X_421)))))) ),[0],$fot(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))))]]) ).
cnf(refute_0_2643,plain,
( converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != converse(join(X_16,converse(complement(converse(X_421)))))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = converse(join(X_16,converse(complement(converse(X_421))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))),join(complement(converse(X_421)),converse(join(X_16,complement(X_421))))) )],[refute_0_2641,refute_0_2642]) ).
cnf(refute_0_2644,plain,
converse(join(X_16,converse(complement(converse(X_421))))) = join(converse(X_16),complement(converse(X_421))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(complement(converse(X_421)))),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_2645,plain,
( converse(join(X_16,converse(complement(converse(X_421))))) != join(converse(X_16),complement(converse(X_421)))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != converse(join(X_16,converse(complement(converse(X_421)))))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = join(converse(X_16),complement(converse(X_421))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),converse(join(X_16,converse(complement(converse(X_421)))))) ),[1],$fot(join(converse(X_16),complement(converse(X_421))))]]) ).
cnf(refute_0_2646,plain,
( join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != converse(join(X_16,converse(complement(converse(X_421)))))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = join(converse(X_16),complement(converse(X_421))) ),
inference(resolve,[$cnf( $equal(converse(join(X_16,converse(complement(converse(X_421))))),join(converse(X_16),complement(converse(X_421)))) )],[refute_0_2644,refute_0_2645]) ).
cnf(refute_0_2647,plain,
( converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))) != converse(join(X_16,converse(complement(converse(X_421)))))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = join(converse(X_16),complement(converse(X_421))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),converse(join(X_16,converse(complement(converse(X_421)))))) )],[refute_0_2643,refute_0_2646]) ).
cnf(refute_0_2648,plain,
join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = join(converse(X_16),complement(converse(X_421))),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),join(X_16,converse(complement(converse(X_421)))))),converse(join(X_16,converse(complement(converse(X_421)))))) )],[refute_0_2606,refute_0_2647]) ).
cnf(refute_0_2649,plain,
join(join(X1,X_134),X1) = join(X1,join(X1,X_134)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(X1,X_134)))]]) ).
cnf(refute_0_2650,plain,
join(X1,join(X1,X_134)) = join(X1,X_134),
inference(subst,[],[refute_0_1636:[bind(X2,$fot(X_134))]]) ).
cnf(refute_0_2651,plain,
( join(X1,join(X1,X_134)) != join(X1,X_134)
| join(join(X1,X_134),X1) != join(X1,join(X1,X_134))
| join(join(X1,X_134),X1) = join(X1,X_134) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X1,X_134),X1),join(X1,join(X1,X_134))) ),[1],$fot(join(X1,X_134))]]) ).
cnf(refute_0_2652,plain,
( join(join(X1,X_134),X1) != join(X1,join(X1,X_134))
| join(join(X1,X_134),X1) = join(X1,X_134) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X_134)),join(X1,X_134)) )],[refute_0_2650,refute_0_2651]) ).
cnf(refute_0_2653,plain,
join(join(X1,X_134),X1) = join(X1,X_134),
inference(resolve,[$cnf( $equal(join(join(X1,X_134),X1),join(X1,join(X1,X_134))) )],[refute_0_2649,refute_0_2652]) ).
cnf(refute_0_2654,plain,
join(join(X1,X_134),X1) = join(X1,join(X_134,X1)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X1)),bind(X1,$fot(X_134)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2655,plain,
( join(join(X1,X_134),X1) != join(X1,X_134)
| join(join(X1,X_134),X1) != join(X1,join(X_134,X1))
| join(X1,join(X_134,X1)) = join(X1,X_134) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X1,X_134),X1),join(X1,X_134)) ),[0],$fot(join(X1,join(X_134,X1)))]]) ).
cnf(refute_0_2656,plain,
( join(join(X1,X_134),X1) != join(X1,X_134)
| join(X1,join(X_134,X1)) = join(X1,X_134) ),
inference(resolve,[$cnf( $equal(join(join(X1,X_134),X1),join(X1,join(X_134,X1))) )],[refute_0_2654,refute_0_2655]) ).
cnf(refute_0_2657,plain,
join(X1,join(X_134,X1)) = join(X1,X_134),
inference(resolve,[$cnf( $equal(join(join(X1,X_134),X1),join(X1,X_134)) )],[refute_0_2653,refute_0_2656]) ).
cnf(refute_0_2658,plain,
join(complement(X_421),join(X_16,complement(X_421))) = join(complement(X_421),X_16),
inference(subst,[],[refute_0_2657:[bind(X1,$fot(complement(X_421))),bind(X_134,$fot(X_16))]]) ).
cnf(refute_0_2659,plain,
converse(join(complement(X_421),join(X_16,complement(X_421)))) = converse(join(complement(X_421),join(X_16,complement(X_421)))),
introduced(tautology,[refl,[$fot(converse(join(complement(X_421),join(X_16,complement(X_421)))))]]) ).
cnf(refute_0_2660,plain,
( converse(join(complement(X_421),join(X_16,complement(X_421)))) != converse(join(complement(X_421),join(X_16,complement(X_421))))
| join(complement(X_421),join(X_16,complement(X_421))) != join(complement(X_421),X_16)
| converse(join(complement(X_421),join(X_16,complement(X_421)))) = converse(join(complement(X_421),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_421),join(X_16,complement(X_421)))),converse(join(complement(X_421),join(X_16,complement(X_421))))) ),[1,0],$fot(join(complement(X_421),X_16))]]) ).
cnf(refute_0_2661,plain,
( join(complement(X_421),join(X_16,complement(X_421))) != join(complement(X_421),X_16)
| converse(join(complement(X_421),join(X_16,complement(X_421)))) = converse(join(complement(X_421),X_16)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),join(X_16,complement(X_421)))),converse(join(complement(X_421),join(X_16,complement(X_421))))) )],[refute_0_2659,refute_0_2660]) ).
cnf(refute_0_2662,plain,
converse(join(complement(X_421),join(X_16,complement(X_421)))) = converse(join(complement(X_421),X_16)),
inference(resolve,[$cnf( $equal(join(complement(X_421),join(X_16,complement(X_421))),join(complement(X_421),X_16)) )],[refute_0_2658,refute_0_2661]) ).
cnf(refute_0_2663,plain,
converse(join(complement(X_422),X1)) = join(converse(complement(X_422)),converse(X1)),
inference(subst,[],[refute_0_533:[bind(X0,$fot(complement(X_422)))]]) ).
cnf(refute_0_2664,plain,
complement(converse(X_422)) = converse(complement(X_422)),
inference(subst,[],[refute_0_2063:[bind(X0,$fot(X_422))]]) ).
cnf(refute_0_2665,plain,
( complement(converse(X_422)) != converse(complement(X_422))
| converse(complement(X_422)) = complement(converse(X_422)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(X_422)))),bind(Y,$fot(converse(complement(X_422))))]]) ).
cnf(refute_0_2666,plain,
converse(complement(X_422)) = complement(converse(X_422)),
inference(resolve,[$cnf( $equal(complement(converse(X_422)),converse(complement(X_422))) )],[refute_0_2664,refute_0_2665]) ).
cnf(refute_0_2667,plain,
( converse(complement(X_422)) != complement(converse(X_422))
| converse(join(complement(X_422),X1)) != join(converse(complement(X_422)),converse(X1))
| converse(join(complement(X_422),X1)) = join(complement(converse(X_422)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_422),X1)),join(converse(complement(X_422)),converse(X1))) ),[1,0],$fot(complement(converse(X_422)))]]) ).
cnf(refute_0_2668,plain,
( converse(join(complement(X_422),X1)) != join(converse(complement(X_422)),converse(X1))
| converse(join(complement(X_422),X1)) = join(complement(converse(X_422)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_422)),complement(converse(X_422))) )],[refute_0_2666,refute_0_2667]) ).
cnf(refute_0_2669,plain,
converse(join(complement(X_422),X1)) = join(complement(converse(X_422)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_422),X1)),join(converse(complement(X_422)),converse(X1))) )],[refute_0_2663,refute_0_2668]) ).
cnf(refute_0_2670,plain,
( converse(join(complement(X_422),X1)) != join(complement(converse(X_422)),converse(X1))
| join(complement(converse(X_422)),converse(X1)) = converse(join(complement(X_422),X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(complement(X_422),X1)))),bind(Y,$fot(join(complement(converse(X_422)),converse(X1))))]]) ).
cnf(refute_0_2671,plain,
join(complement(converse(X_422)),converse(X1)) = converse(join(complement(X_422),X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_422),X1)),join(complement(converse(X_422)),converse(X1))) )],[refute_0_2669,refute_0_2670]) ).
cnf(refute_0_2672,plain,
join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = converse(join(complement(X_421),join(X_16,complement(X_421)))),
inference(subst,[],[refute_0_2671:[bind(X1,$fot(join(X_16,complement(X_421)))),bind(X_422,$fot(X_421))]]) ).
cnf(refute_0_2673,plain,
( converse(join(complement(X_421),join(X_16,complement(X_421)))) != converse(join(complement(X_421),X_16))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != converse(join(complement(X_421),join(X_16,complement(X_421))))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = converse(join(complement(X_421),X_16)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))))),bind(Y,$fot(converse(join(complement(X_421),join(X_16,complement(X_421)))))),bind(Z,$fot(converse(join(complement(X_421),X_16))))]]) ).
cnf(refute_0_2674,plain,
( converse(join(complement(X_421),join(X_16,complement(X_421)))) != converse(join(complement(X_421),X_16))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = converse(join(complement(X_421),X_16)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),converse(join(complement(X_421),join(X_16,complement(X_421))))) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) = converse(join(complement(X_421),X_16)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),join(X_16,complement(X_421)))),converse(join(complement(X_421),X_16))) )],[refute_0_2662,refute_0_2674]) ).
cnf(refute_0_2676,plain,
( join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != converse(join(complement(X_421),X_16))
| join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != join(converse(X_16),complement(converse(X_421)))
| converse(join(complement(X_421),X_16)) = join(converse(X_16),complement(converse(X_421))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),join(converse(X_16),complement(converse(X_421)))) ),[0],$fot(converse(join(complement(X_421),X_16)))]]) ).
cnf(refute_0_2677,plain,
( join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != join(converse(X_16),complement(converse(X_421)))
| converse(join(complement(X_421),X_16)) = join(converse(X_16),complement(converse(X_421))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),converse(join(complement(X_421),X_16))) )],[refute_0_2675,refute_0_2676]) ).
cnf(refute_0_2678,plain,
converse(join(X0,complement(X_422))) = join(converse(X0),converse(complement(X_422))),
inference(subst,[],[refute_0_533:[bind(X1,$fot(complement(X_422)))]]) ).
cnf(refute_0_2679,plain,
( converse(complement(X_422)) != complement(converse(X_422))
| converse(join(X0,complement(X_422))) != join(converse(X0),converse(complement(X_422)))
| converse(join(X0,complement(X_422))) = join(converse(X0),complement(converse(X_422))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,complement(X_422))),join(converse(X0),converse(complement(X_422)))) ),[1,1],$fot(complement(converse(X_422)))]]) ).
cnf(refute_0_2680,plain,
( converse(join(X0,complement(X_422))) != join(converse(X0),converse(complement(X_422)))
| converse(join(X0,complement(X_422))) = join(converse(X0),complement(converse(X_422))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_422)),complement(converse(X_422))) )],[refute_0_2666,refute_0_2679]) ).
cnf(refute_0_2681,plain,
converse(join(X0,complement(X_422))) = join(converse(X0),complement(converse(X_422))),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(X_422))),join(converse(X0),converse(complement(X_422)))) )],[refute_0_2678,refute_0_2680]) ).
cnf(refute_0_2682,plain,
( converse(join(X0,complement(X_422))) != join(converse(X0),complement(converse(X_422)))
| join(converse(X0),complement(converse(X_422))) = converse(join(X0,complement(X_422))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,complement(X_422))))),bind(Y,$fot(join(converse(X0),complement(converse(X_422)))))]]) ).
cnf(refute_0_2683,plain,
join(converse(X0),complement(converse(X_422))) = converse(join(X0,complement(X_422))),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(X_422))),join(converse(X0),complement(converse(X_422)))) )],[refute_0_2681,refute_0_2682]) ).
cnf(refute_0_2684,plain,
join(converse(X_16),complement(converse(X_421))) = converse(join(X_16,complement(X_421))),
inference(subst,[],[refute_0_2683:[bind(X0,$fot(X_16)),bind(X_422,$fot(X_421))]]) ).
cnf(refute_0_2685,plain,
( converse(join(complement(X_421),X_16)) != join(converse(X_16),complement(converse(X_421)))
| join(converse(X_16),complement(converse(X_421))) != converse(join(X_16,complement(X_421)))
| converse(join(complement(X_421),X_16)) = converse(join(X_16,complement(X_421))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(complement(X_421),X_16)),converse(join(X_16,complement(X_421)))) ),[0],$fot(join(converse(X_16),complement(converse(X_421))))]]) ).
cnf(refute_0_2686,plain,
( converse(join(complement(X_421),X_16)) != join(converse(X_16),complement(converse(X_421)))
| converse(join(complement(X_421),X_16)) = converse(join(X_16,complement(X_421))) ),
inference(resolve,[$cnf( $equal(join(converse(X_16),complement(converse(X_421))),converse(join(X_16,complement(X_421)))) )],[refute_0_2684,refute_0_2685]) ).
cnf(refute_0_2687,plain,
( join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))) != join(converse(X_16),complement(converse(X_421)))
| converse(join(complement(X_421),X_16)) = converse(join(X_16,complement(X_421))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),X_16)),join(converse(X_16),complement(converse(X_421)))) )],[refute_0_2677,refute_0_2686]) ).
cnf(refute_0_2688,plain,
converse(join(complement(X_421),X_16)) = converse(join(X_16,complement(X_421))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_421)),converse(join(X_16,complement(X_421)))),join(converse(X_16),complement(converse(X_421)))) )],[refute_0_2648,refute_0_2687]) ).
cnf(refute_0_2689,plain,
( converse(join(complement(X_421),X_16)) != converse(join(X_16,complement(X_421)))
| converse(join(X_16,complement(X_421))) = converse(join(complement(X_421),X_16)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(complement(X_421),X_16)))),bind(Y,$fot(converse(join(X_16,complement(X_421)))))]]) ).
cnf(refute_0_2690,plain,
converse(join(X_16,complement(X_421))) = converse(join(complement(X_421),X_16)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_421),X_16)),converse(join(X_16,complement(X_421)))) )],[refute_0_2688,refute_0_2689]) ).
cnf(refute_0_2691,plain,
converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) = converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))),
inference(subst,[],[refute_0_2690:[bind(X_16,$fot(composition(top,complement(complement(converse(X_427)))))),bind(X_421,$fot(top))]]) ).
cnf(refute_0_2692,plain,
( converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) != composition(X_427,top)
| converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) != converse(join(complement(top),composition(top,complement(complement(converse(X_427))))))
| converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) = composition(X_427,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))),bind(Y,$fot(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))))),bind(Z,$fot(composition(X_427,top)))]]) ).
cnf(refute_0_2693,plain,
( converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))) != composition(X_427,top)
| converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) = composition(X_427,top) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))),converse(join(complement(top),composition(top,complement(complement(converse(X_427))))))) )],[refute_0_2691,refute_0_2692]) ).
cnf(refute_0_2694,plain,
converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) = composition(X_427,top),
inference(resolve,[$cnf( $equal(converse(join(complement(top),composition(top,complement(complement(converse(X_427)))))),composition(X_427,top)) )],[refute_0_2578,refute_0_2693]) ).
cnf(refute_0_2695,plain,
meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) = meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))),
introduced(tautology,[refl,[$fot(meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))))]]) ).
cnf(refute_0_2696,plain,
( converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) != composition(X_427,top)
| meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) != meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))
| meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) = meet(X_427,composition(X_427,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))),meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))) ),[1,1],$fot(composition(X_427,top))]]) ).
cnf(refute_0_2697,plain,
( converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))) != composition(X_427,top)
| meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) = meet(X_427,composition(X_427,top)) ),
inference(resolve,[$cnf( $equal(meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))),meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))) )],[refute_0_2695,refute_0_2696]) ).
cnf(refute_0_2698,plain,
meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) = meet(X_427,composition(X_427,top)),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))),composition(X_427,top)) )],[refute_0_2694,refute_0_2697]) ).
cnf(refute_0_2699,plain,
( X_427 != meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))
| meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))) != meet(X_427,composition(X_427,top))
| X_427 = meet(X_427,composition(X_427,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_427,meet(X_427,composition(X_427,top))) ),[0],$fot(meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))))]]) ).
cnf(refute_0_2700,plain,
( X_427 != meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))
| X_427 = meet(X_427,composition(X_427,top)) ),
inference(resolve,[$cnf( $equal(meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top)))),meet(X_427,composition(X_427,top))) )],[refute_0_2698,refute_0_2699]) ).
cnf(refute_0_2701,plain,
X_427 = meet(X_427,composition(X_427,top)),
inference(resolve,[$cnf( $equal(X_427,meet(X_427,converse(join(composition(top,complement(complement(converse(X_427)))),complement(top))))) )],[refute_0_2536,refute_0_2700]) ).
cnf(refute_0_2702,plain,
X_37 = meet(X_37,composition(X_37,top)),
inference(subst,[],[refute_0_2701:[bind(X_427,$fot(X_37))]]) ).
cnf(refute_0_2703,plain,
( X_37 != meet(X_37,composition(X_37,top))
| meet(X_37,composition(X_37,top)) = X_37 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(meet(X_37,composition(X_37,top))))]]) ).
cnf(refute_0_2704,plain,
meet(X_37,composition(X_37,top)) = X_37,
inference(resolve,[$cnf( $equal(X_37,meet(X_37,composition(X_37,top))) )],[refute_0_2702,refute_0_2703]) ).
cnf(refute_0_2705,plain,
( X_37 != join(meet(X_37,composition(X_37,top)),complement(join(composition(X_37,top),complement(X_37))))
| meet(X_37,composition(X_37,top)) != X_37
| X_37 = join(X_37,complement(join(composition(X_37,top),complement(X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(X_37,composition(X_37,top)),complement(join(composition(X_37,top),complement(X_37))))) ),[1,0],$fot(X_37)]]) ).
cnf(refute_0_2706,plain,
( X_37 != join(meet(X_37,composition(X_37,top)),complement(join(composition(X_37,top),complement(X_37))))
| X_37 = join(X_37,complement(join(composition(X_37,top),complement(X_37)))) ),
inference(resolve,[$cnf( $equal(meet(X_37,composition(X_37,top)),X_37) )],[refute_0_2704,refute_0_2705]) ).
cnf(refute_0_2707,plain,
X_37 = join(X_37,complement(join(composition(X_37,top),complement(X_37)))),
inference(resolve,[$cnf( $equal(X_37,join(meet(X_37,composition(X_37,top)),complement(join(composition(X_37,top),complement(X_37))))) )],[refute_0_1850,refute_0_2706]) ).
cnf(refute_0_2708,plain,
complement(converse(converse(join(X0,X1)))) = converse(complement(converse(join(X0,X1)))),
inference(subst,[],[refute_0_2063:[bind(X0,$fot(converse(join(X0,X1))))]]) ).
cnf(refute_0_2709,plain,
join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X1,X0))),
inference(subst,[],[refute_0_2125:[bind(X_18,$fot(join(X1,X0))),bind(X_19,$fot(X_101))]]) ).
cnf(refute_0_2710,plain,
( converse(join(X0,X1)) != converse(join(X1,X0))
| converse(join(X1,X0)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).
cnf(refute_0_2711,plain,
converse(join(X1,X0)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_0_583,refute_0_2710]) ).
cnf(refute_0_2712,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X1,X0)))
| join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X1,X0)))) ),[1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_2713,plain,
( join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X1,X0)))
| join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_2711,refute_0_2712]) ).
cnf(refute_0_2714,plain,
join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X1,X0)))) )],[refute_0_2709,refute_0_2713]) ).
cnf(refute_0_2715,plain,
( join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X0,X1)))
| join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X1,X0)))
| complement(converse(join(X1,X0))) = complement(converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X0,X1)))) ),[0],$fot(complement(converse(join(X1,X0))))]]) ).
cnf(refute_0_2716,plain,
( join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X0,X1)))
| complement(converse(join(X1,X0))) = complement(converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X1,X0)))) )],[refute_0_2709,refute_0_2715]) ).
cnf(refute_0_2717,plain,
complement(converse(join(X1,X0))) = complement(converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X0,X1)))) )],[refute_0_2714,refute_0_2716]) ).
cnf(refute_0_2718,plain,
( complement(converse(join(X1,X0))) != complement(converse(join(X0,X1)))
| complement(converse(join(X0,X1))) = complement(converse(join(X1,X0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(join(X1,X0))))),bind(Y,$fot(complement(converse(join(X0,X1)))))]]) ).
cnf(refute_0_2719,plain,
complement(converse(join(X0,X1))) = complement(converse(join(X1,X0))),
inference(resolve,[$cnf( $equal(complement(converse(join(X1,X0))),complement(converse(join(X0,X1)))) )],[refute_0_2717,refute_0_2718]) ).
cnf(refute_0_2720,plain,
( complement(converse(converse(join(X0,X1)))) != converse(complement(converse(join(X0,X1))))
| complement(converse(join(X0,X1))) != complement(converse(join(X1,X0)))
| complement(converse(converse(join(X0,X1)))) = converse(complement(converse(join(X1,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),converse(complement(converse(join(X0,X1))))) ),[1,0],$fot(complement(converse(join(X1,X0))))]]) ).
cnf(refute_0_2721,plain,
( complement(converse(converse(join(X0,X1)))) != converse(complement(converse(join(X0,X1))))
| complement(converse(converse(join(X0,X1)))) = converse(complement(converse(join(X1,X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X0,X1))),complement(converse(join(X1,X0)))) )],[refute_0_2719,refute_0_2720]) ).
cnf(refute_0_2722,plain,
complement(converse(converse(join(X0,X1)))) = converse(complement(converse(join(X1,X0)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),converse(complement(converse(join(X0,X1))))) )],[refute_0_2708,refute_0_2721]) ).
cnf(refute_0_2723,plain,
converse(converse(join(X0,X1))) = join(X0,X1),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2724,plain,
complement(converse(converse(join(X0,X1)))) = complement(converse(converse(join(X0,X1)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X0,X1)))))]]) ).
cnf(refute_0_2725,plain,
( complement(converse(converse(join(X0,X1)))) != complement(converse(converse(join(X0,X1))))
| converse(converse(join(X0,X1))) != join(X0,X1)
| complement(converse(converse(join(X0,X1)))) = complement(join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(converse(converse(join(X0,X1))))) ),[1,0],$fot(join(X0,X1))]]) ).
cnf(refute_0_2726,plain,
( converse(converse(join(X0,X1))) != join(X0,X1)
| complement(converse(converse(join(X0,X1)))) = complement(join(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(converse(converse(join(X0,X1))))) )],[refute_0_2724,refute_0_2725]) ).
cnf(refute_0_2727,plain,
complement(converse(converse(join(X0,X1)))) = complement(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(join(X0,X1))),join(X0,X1)) )],[refute_0_2723,refute_0_2726]) ).
cnf(refute_0_2728,plain,
( complement(converse(converse(join(X0,X1)))) != complement(join(X0,X1))
| complement(converse(converse(join(X0,X1)))) != converse(complement(converse(join(X1,X0))))
| complement(join(X0,X1)) = converse(complement(converse(join(X1,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),converse(complement(converse(join(X1,X0))))) ),[0],$fot(complement(join(X0,X1)))]]) ).
cnf(refute_0_2729,plain,
( complement(converse(converse(join(X0,X1)))) != converse(complement(converse(join(X1,X0))))
| complement(join(X0,X1)) = converse(complement(converse(join(X1,X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(join(X0,X1))) )],[refute_0_2727,refute_0_2728]) ).
cnf(refute_0_2730,plain,
converse(converse(join(X1,X0))) = join(X1,X0),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(X1,X0)))]]) ).
cnf(refute_0_2731,plain,
complement(converse(converse(join(X1,X0)))) = complement(converse(converse(join(X1,X0)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X1,X0)))))]]) ).
cnf(refute_0_2732,plain,
( complement(converse(converse(join(X1,X0)))) != complement(converse(converse(join(X1,X0))))
| converse(converse(join(X1,X0))) != join(X1,X0)
| complement(converse(converse(join(X1,X0)))) = complement(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X1,X0)))),complement(converse(converse(join(X1,X0))))) ),[1,0],$fot(join(X1,X0))]]) ).
cnf(refute_0_2733,plain,
( converse(converse(join(X1,X0))) != join(X1,X0)
| complement(converse(converse(join(X1,X0)))) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X1,X0)))),complement(converse(converse(join(X1,X0))))) )],[refute_0_2731,refute_0_2732]) ).
cnf(refute_0_2734,plain,
complement(converse(converse(join(X1,X0)))) = complement(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(converse(join(X1,X0))),join(X1,X0)) )],[refute_0_2730,refute_0_2733]) ).
cnf(refute_0_2735,plain,
converse(complement(converse(join(X1,X0)))) = complement(converse(converse(join(X1,X0)))),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(converse(join(X1,X0))))]]) ).
cnf(refute_0_2736,plain,
( complement(converse(converse(join(X1,X0)))) != complement(join(X1,X0))
| converse(complement(converse(join(X1,X0)))) != complement(converse(converse(join(X1,X0))))
| converse(complement(converse(join(X1,X0)))) = complement(join(X1,X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(complement(converse(join(X1,X0)))))),bind(Y,$fot(complement(converse(converse(join(X1,X0)))))),bind(Z,$fot(complement(join(X1,X0))))]]) ).
cnf(refute_0_2737,plain,
( complement(converse(converse(join(X1,X0)))) != complement(join(X1,X0))
| converse(complement(converse(join(X1,X0)))) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X1,X0)))),complement(converse(converse(join(X1,X0))))) )],[refute_0_2735,refute_0_2736]) ).
cnf(refute_0_2738,plain,
converse(complement(converse(join(X1,X0)))) = complement(join(X1,X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X1,X0)))),complement(join(X1,X0))) )],[refute_0_2734,refute_0_2737]) ).
cnf(refute_0_2739,plain,
( complement(join(X0,X1)) != converse(complement(converse(join(X1,X0))))
| converse(complement(converse(join(X1,X0)))) != complement(join(X1,X0))
| complement(join(X0,X1)) = complement(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X0,X1)),complement(join(X1,X0))) ),[0],$fot(converse(complement(converse(join(X1,X0)))))]]) ).
cnf(refute_0_2740,plain,
( complement(join(X0,X1)) != converse(complement(converse(join(X1,X0))))
| complement(join(X0,X1)) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X1,X0)))),complement(join(X1,X0))) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
( complement(converse(converse(join(X0,X1)))) != converse(complement(converse(join(X1,X0))))
| complement(join(X0,X1)) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(complement(join(X0,X1)),converse(complement(converse(join(X1,X0))))) )],[refute_0_2729,refute_0_2740]) ).
cnf(refute_0_2742,plain,
complement(join(X0,X1)) = complement(join(X1,X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),converse(complement(converse(join(X1,X0))))) )],[refute_0_2722,refute_0_2741]) ).
cnf(refute_0_2743,plain,
( complement(join(X0,X1)) != complement(join(X1,X0))
| complement(join(X1,X0)) = complement(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(join(X0,X1)))),bind(Y,$fot(complement(join(X1,X0))))]]) ).
cnf(refute_0_2744,plain,
complement(join(X1,X0)) = complement(join(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(X0,X1)),complement(join(X1,X0))) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
complement(join(composition(X_37,top),complement(X_37))) = complement(join(complement(X_37),composition(X_37,top))),
inference(subst,[],[refute_0_2744:[bind(X0,$fot(complement(X_37))),bind(X1,$fot(composition(X_37,top)))]]) ).
cnf(refute_0_2746,plain,
join(X_37,complement(join(composition(X_37,top),complement(X_37)))) = join(X_37,complement(join(composition(X_37,top),complement(X_37)))),
introduced(tautology,[refl,[$fot(join(X_37,complement(join(composition(X_37,top),complement(X_37)))))]]) ).
cnf(refute_0_2747,plain,
( complement(join(composition(X_37,top),complement(X_37))) != complement(join(complement(X_37),composition(X_37,top)))
| join(X_37,complement(join(composition(X_37,top),complement(X_37)))) != join(X_37,complement(join(composition(X_37,top),complement(X_37))))
| join(X_37,complement(join(composition(X_37,top),complement(X_37)))) = join(X_37,complement(join(complement(X_37),composition(X_37,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,complement(join(composition(X_37,top),complement(X_37)))),join(X_37,complement(join(composition(X_37,top),complement(X_37))))) ),[1,1],$fot(complement(join(complement(X_37),composition(X_37,top))))]]) ).
cnf(refute_0_2748,plain,
( complement(join(composition(X_37,top),complement(X_37))) != complement(join(complement(X_37),composition(X_37,top)))
| join(X_37,complement(join(composition(X_37,top),complement(X_37)))) = join(X_37,complement(join(complement(X_37),composition(X_37,top)))) ),
inference(resolve,[$cnf( $equal(join(X_37,complement(join(composition(X_37,top),complement(X_37)))),join(X_37,complement(join(composition(X_37,top),complement(X_37))))) )],[refute_0_2746,refute_0_2747]) ).
cnf(refute_0_2749,plain,
join(X_37,complement(join(composition(X_37,top),complement(X_37)))) = join(X_37,complement(join(complement(X_37),composition(X_37,top)))),
inference(resolve,[$cnf( $equal(complement(join(composition(X_37,top),complement(X_37))),complement(join(complement(X_37),composition(X_37,top)))) )],[refute_0_2745,refute_0_2748]) ).
cnf(refute_0_2750,plain,
( X_37 != join(X_37,complement(join(composition(X_37,top),complement(X_37))))
| join(X_37,complement(join(composition(X_37,top),complement(X_37)))) != join(X_37,complement(join(complement(X_37),composition(X_37,top))))
| X_37 = join(X_37,complement(join(complement(X_37),composition(X_37,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(X_37,complement(join(complement(X_37),composition(X_37,top))))) ),[0],$fot(join(X_37,complement(join(composition(X_37,top),complement(X_37)))))]]) ).
cnf(refute_0_2751,plain,
( X_37 != join(X_37,complement(join(composition(X_37,top),complement(X_37))))
| X_37 = join(X_37,complement(join(complement(X_37),composition(X_37,top)))) ),
inference(resolve,[$cnf( $equal(join(X_37,complement(join(composition(X_37,top),complement(X_37)))),join(X_37,complement(join(complement(X_37),composition(X_37,top))))) )],[refute_0_2749,refute_0_2750]) ).
cnf(refute_0_2752,plain,
X_37 = join(X_37,complement(join(complement(X_37),composition(X_37,top)))),
inference(resolve,[$cnf( $equal(X_37,join(X_37,complement(join(composition(X_37,top),complement(X_37))))) )],[refute_0_2707,refute_0_2751]) ).
cnf(refute_0_2753,plain,
X_56 = join(X_56,complement(join(complement(X_56),composition(X_56,top)))),
inference(subst,[],[refute_0_2752:[bind(X_37,$fot(X_56))]]) ).
cnf(refute_0_2754,plain,
( X_56 != join(X_56,complement(join(complement(X_56),composition(X_56,top))))
| join(X_56,complement(join(complement(X_56),composition(X_56,top)))) = X_56 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_56)),bind(Y,$fot(join(X_56,complement(join(complement(X_56),composition(X_56,top))))))]]) ).
cnf(refute_0_2755,plain,
join(X_56,complement(join(complement(X_56),composition(X_56,top)))) = X_56,
inference(resolve,[$cnf( $equal(X_56,join(X_56,complement(join(complement(X_56),composition(X_56,top))))) )],[refute_0_2753,refute_0_2754]) ).
cnf(refute_0_2756,plain,
( join(X0,join(X_56,complement(join(complement(X_56),composition(X_56,top))))) != join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))
| join(X_56,complement(join(complement(X_56),composition(X_56,top)))) != X_56
| join(X0,X_56) = join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_56,complement(join(complement(X_56),composition(X_56,top))))),join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))) ),[0,1],$fot(X_56)]]) ).
cnf(refute_0_2757,plain,
( join(X0,join(X_56,complement(join(complement(X_56),composition(X_56,top))))) != join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))
| join(X0,X_56) = join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) ),
inference(resolve,[$cnf( $equal(join(X_56,complement(join(complement(X_56),composition(X_56,top)))),X_56) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
join(X0,X_56) = join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_56,complement(join(complement(X_56),composition(X_56,top))))),join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))) )],[refute_0_1849,refute_0_2757]) ).
cnf(refute_0_2759,plain,
join(X0,join(meet(X0,X_136),X2)) = join(join(X0,meet(X0,X_136)),X2),
inference(subst,[],[refute_0_209:[bind(X1,$fot(meet(X0,X_136)))]]) ).
cnf(refute_0_2760,plain,
join(X0,meet(X0,X_136)) = X0,
inference(subst,[],[refute_0_1649:[bind(X1,$fot(X_136))]]) ).
cnf(refute_0_2761,plain,
( join(X0,join(meet(X0,X_136),X2)) != join(join(X0,meet(X0,X_136)),X2)
| join(X0,meet(X0,X_136)) != X0
| join(X0,join(meet(X0,X_136),X2)) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,X_136),X2)),join(join(X0,meet(X0,X_136)),X2)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_2762,plain,
( join(X0,join(meet(X0,X_136),X2)) != join(join(X0,meet(X0,X_136)),X2)
| join(X0,join(meet(X0,X_136),X2)) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,meet(X0,X_136)),X0) )],[refute_0_2760,refute_0_2761]) ).
cnf(refute_0_2763,plain,
join(X0,join(meet(X0,X_136),X2)) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,X_136),X2)),join(join(X0,meet(X0,X_136)),X2)) )],[refute_0_2759,refute_0_2762]) ).
cnf(refute_0_2764,plain,
join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)) = join(X_56,X0),
inference(subst,[],[refute_0_2763:[bind(X0,$fot(X_56)),bind(X2,$fot(X0)),bind(X_136,$fot(complement(composition(X_56,top))))]]) ).
cnf(refute_0_2765,plain,
meet(complement(composition(X_56,top)),X_56) = meet(X_56,complement(composition(X_56,top))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(X_56)),bind(X_30,$fot(complement(composition(X_56,top))))]]) ).
cnf(refute_0_2766,plain,
meet(complement(X_466),X_465) = complement(join(X_466,complement(X_465))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(X_465)),bind(X_464,$fot(X_466))]]) ).
cnf(refute_0_2767,plain,
join(complement(X_465),X_466) = join(X_466,complement(X_465)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_465))),bind(X1,$fot(X_466))]]) ).
cnf(refute_0_2768,plain,
( join(complement(X_465),X_466) != join(X_466,complement(X_465))
| join(X_466,complement(X_465)) = join(complement(X_465),X_466) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_465),X_466))),bind(Y,$fot(join(X_466,complement(X_465))))]]) ).
cnf(refute_0_2769,plain,
join(X_466,complement(X_465)) = join(complement(X_465),X_466),
inference(resolve,[$cnf( $equal(join(complement(X_465),X_466),join(X_466,complement(X_465))) )],[refute_0_2767,refute_0_2768]) ).
cnf(refute_0_2770,plain,
( join(X_466,complement(X_465)) != join(complement(X_465),X_466)
| meet(complement(X_466),X_465) != complement(join(X_466,complement(X_465)))
| meet(complement(X_466),X_465) = complement(join(complement(X_465),X_466)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_466),X_465),complement(join(X_466,complement(X_465)))) ),[1,0],$fot(join(complement(X_465),X_466))]]) ).
cnf(refute_0_2771,plain,
( meet(complement(X_466),X_465) != complement(join(X_466,complement(X_465)))
| meet(complement(X_466),X_465) = complement(join(complement(X_465),X_466)) ),
inference(resolve,[$cnf( $equal(join(X_466,complement(X_465)),join(complement(X_465),X_466)) )],[refute_0_2769,refute_0_2770]) ).
cnf(refute_0_2772,plain,
meet(complement(X_466),X_465) = complement(join(complement(X_465),X_466)),
inference(resolve,[$cnf( $equal(meet(complement(X_466),X_465),complement(join(X_466,complement(X_465)))) )],[refute_0_2766,refute_0_2771]) ).
cnf(refute_0_2773,plain,
( meet(complement(X_466),X_465) != complement(join(complement(X_465),X_466))
| complement(join(complement(X_465),X_466)) = meet(complement(X_466),X_465) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_466),X_465))),bind(Y,$fot(complement(join(complement(X_465),X_466))))]]) ).
cnf(refute_0_2774,plain,
complement(join(complement(X_465),X_466)) = meet(complement(X_466),X_465),
inference(resolve,[$cnf( $equal(meet(complement(X_466),X_465),complement(join(complement(X_465),X_466))) )],[refute_0_2772,refute_0_2773]) ).
cnf(refute_0_2775,plain,
complement(join(complement(X_56),composition(X_56,top))) = meet(complement(composition(X_56,top)),X_56),
inference(subst,[],[refute_0_2774:[bind(X_465,$fot(X_56)),bind(X_466,$fot(composition(X_56,top)))]]) ).
cnf(refute_0_2776,plain,
( complement(join(complement(X_56),composition(X_56,top))) != meet(complement(composition(X_56,top)),X_56)
| meet(complement(composition(X_56,top)),X_56) != meet(X_56,complement(composition(X_56,top)))
| complement(join(complement(X_56),composition(X_56,top))) = meet(X_56,complement(composition(X_56,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(complement(X_56),composition(X_56,top))))),bind(Y,$fot(meet(complement(composition(X_56,top)),X_56))),bind(Z,$fot(meet(X_56,complement(composition(X_56,top)))))]]) ).
cnf(refute_0_2777,plain,
( meet(complement(composition(X_56,top)),X_56) != meet(X_56,complement(composition(X_56,top)))
| complement(join(complement(X_56),composition(X_56,top))) = meet(X_56,complement(composition(X_56,top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_56),composition(X_56,top))),meet(complement(composition(X_56,top)),X_56)) )],[refute_0_2775,refute_0_2776]) ).
cnf(refute_0_2778,plain,
complement(join(complement(X_56),composition(X_56,top))) = meet(X_56,complement(composition(X_56,top))),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_56,top)),X_56),meet(X_56,complement(composition(X_56,top)))) )],[refute_0_2765,refute_0_2777]) ).
cnf(refute_0_2779,plain,
join(complement(join(complement(X_56),composition(X_56,top))),X0) = join(complement(join(complement(X_56),composition(X_56,top))),X0),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X_56),composition(X_56,top))),X0))]]) ).
cnf(refute_0_2780,plain,
( complement(join(complement(X_56),composition(X_56,top))) != meet(X_56,complement(composition(X_56,top)))
| join(complement(join(complement(X_56),composition(X_56,top))),X0) != join(complement(join(complement(X_56),composition(X_56,top))),X0)
| join(complement(join(complement(X_56),composition(X_56,top))),X0) = join(meet(X_56,complement(composition(X_56,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X_56),composition(X_56,top))),X0),join(complement(join(complement(X_56),composition(X_56,top))),X0)) ),[1,0],$fot(meet(X_56,complement(composition(X_56,top))))]]) ).
cnf(refute_0_2781,plain,
( complement(join(complement(X_56),composition(X_56,top))) != meet(X_56,complement(composition(X_56,top)))
| join(complement(join(complement(X_56),composition(X_56,top))),X0) = join(meet(X_56,complement(composition(X_56,top))),X0) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_56),composition(X_56,top))),X0),join(complement(join(complement(X_56),composition(X_56,top))),X0)) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
join(complement(join(complement(X_56),composition(X_56,top))),X0) = join(meet(X_56,complement(composition(X_56,top))),X0),
inference(resolve,[$cnf( $equal(complement(join(complement(X_56),composition(X_56,top))),meet(X_56,complement(composition(X_56,top)))) )],[refute_0_2778,refute_0_2781]) ).
cnf(refute_0_2783,plain,
join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),
introduced(tautology,[refl,[$fot(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)))]]) ).
cnf(refute_0_2784,plain,
( join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) != join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))
| join(complement(join(complement(X_56),composition(X_56,top))),X0) != join(meet(X_56,complement(composition(X_56,top))),X0)
| join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))) ),[1,1],$fot(join(meet(X_56,complement(composition(X_56,top))),X0))]]) ).
cnf(refute_0_2785,plain,
( join(complement(join(complement(X_56),composition(X_56,top))),X0) != join(meet(X_56,complement(composition(X_56,top))),X0)
| join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)) ),
inference(resolve,[$cnf( $equal(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))) )],[refute_0_2783,refute_0_2784]) ).
cnf(refute_0_2786,plain,
join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_56),composition(X_56,top))),X0),join(meet(X_56,complement(composition(X_56,top))),X0)) )],[refute_0_2782,refute_0_2785]) ).
cnf(refute_0_2787,plain,
( join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) != join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0))
| join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)) != join(X_56,X0)
| join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)))),bind(Y,$fot(join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)))),bind(Z,$fot(join(X_56,X0)))]]) ).
cnf(refute_0_2788,plain,
( join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)) != join(X_56,X0)
| join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,X0) ),
inference(resolve,[$cnf( $equal(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0))) )],[refute_0_2786,refute_0_2787]) ).
cnf(refute_0_2789,plain,
join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) = join(X_56,X0),
inference(resolve,[$cnf( $equal(join(X_56,join(meet(X_56,complement(composition(X_56,top))),X0)),join(X_56,X0)) )],[refute_0_2764,refute_0_2788]) ).
cnf(refute_0_2790,plain,
( join(X0,X_56) != join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))
| join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)) != join(X_56,X0)
| join(X0,X_56) = join(X_56,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,X_56),join(X_56,X0)) ),[0],$fot(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)))]]) ).
cnf(refute_0_2791,plain,
( join(X0,X_56) != join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))
| join(X0,X_56) = join(X_56,X0) ),
inference(resolve,[$cnf( $equal(join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0)),join(X_56,X0)) )],[refute_0_2789,refute_0_2790]) ).
cnf(refute_0_2792,plain,
join(X0,X_56) = join(X_56,X0),
inference(resolve,[$cnf( $equal(join(X0,X_56),join(X_56,join(complement(join(complement(X_56),composition(X_56,top))),X0))) )],[refute_0_2758,refute_0_2791]) ).
cnf(refute_0_2793,plain,
( join(X0,X_56) != join(X_56,X0)
| join(X_56,X0) = join(X0,X_56) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X_56))),bind(Y,$fot(join(X_56,X0)))]]) ).
cnf(refute_0_2794,plain,
join(X_56,X0) = join(X0,X_56),
inference(resolve,[$cnf( $equal(join(X0,X_56),join(X_56,X0)) )],[refute_0_2792,refute_0_2793]) ).
cnf(refute_0_2795,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) = join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(zero)),bind(X_56,$fot(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2796,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) != join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero))),bind(Y,$fot(join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2797,plain,
( join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero),join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2795,refute_0_2796]) ).
cnf(refute_0_2798,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1848,refute_0_2797]) ).
cnf(refute_0_2799,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_2105:[bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2800,plain,
zero = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_2417:[bind(X_174,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2801,plain,
( zero != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(composition(X0,X1),complement(composition(top,top)))))]]) ).
cnf(refute_0_2802,plain,
composition(composition(X0,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_2800,refute_0_2801]) ).
cnf(refute_0_2803,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(composition(X0,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_2804,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),complement(composition(top,top))),zero) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_2799,refute_0_2804]) ).
cnf(refute_0_2806,plain,
( zero != composition(X_174,complement(composition(top,top)))
| composition(X_174,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_174,complement(composition(top,top)))))]]) ).
cnf(refute_0_2807,plain,
composition(X_174,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_174,complement(composition(top,top)))) )],[refute_0_2417,refute_0_2806]) ).
cnf(refute_0_2808,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_2807:[bind(X_174,$fot(X1))]]) ).
cnf(refute_0_2809,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,composition(X1,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_2810,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,composition(X1,complement(composition(top,top))))
| composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2811,plain,
( composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),zero) )],[refute_0_2808,refute_0_2811]) ).
cnf(refute_0_2813,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,zero)
| composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(X0,zero))]]) ).
cnf(refute_0_2814,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,zero)) )],[refute_0_2812,refute_0_2813]) ).
cnf(refute_0_2815,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) )],[refute_0_2805,refute_0_2814]) ).
cnf(refute_0_2816,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero) = zero,
inference(subst,[],[refute_0_2815:[bind(X0,$fot(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))))))]]) ).
cnf(refute_0_2817,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),
introduced(tautology,[refl,[$fot(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)))]]) ).
cnf(refute_0_2818,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero) != zero
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) != join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2819,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero) != zero
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero))) )],[refute_0_2817,refute_0_2818]) ).
cnf(refute_0_2820,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero),zero) )],[refute_0_2816,refute_0_2819]) ).
cnf(refute_0_2821,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) != join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero)
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) != meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)))),bind(Y,$fot(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2822,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) != meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero)) )],[refute_0_2820,refute_0_2821]) ).
cnf(refute_0_2823,plain,
join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) = meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero),meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2798,refute_0_2822]) ).
cnf(refute_0_2824,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) != meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2825,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2823,refute_0_2824]) ).
cnf(refute_0_2826,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) = zero,
inference(subst,[],[refute_0_2815:[bind(X0,$fot(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))))]]) ).
cnf(refute_0_2827,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2828,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != zero
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2829,plain,
( meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != zero
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2827,refute_0_2828]) ).
cnf(refute_0_2830,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_1844,refute_0_2829]) ).
cnf(refute_0_2831,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))))]]) ).
cnf(refute_0_2832,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))
| converse(complement(one)) != complement(one)
| composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2833,plain,
( converse(complement(one)) != complement(one)
| composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) )],[refute_0_2831,refute_0_2832]) ).
cnf(refute_0_2834,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_2833]) ).
cnf(refute_0_2835,plain,
meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) = meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))))]]) ).
cnf(refute_0_2836,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))
| meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) != meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))))
| meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) = meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))))) ),[1,1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))]]) ).
cnf(refute_0_2837,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))
| meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) = meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))))) )],[refute_0_2835,refute_0_2836]) ).
cnf(refute_0_2838,plain,
meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) = meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))) )],[refute_0_2834,refute_0_2837]) ).
cnf(refute_0_2839,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2840,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) != meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))))]]) ).
cnf(refute_0_2841,plain,
( meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))) != meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2839,refute_0_2840]) ).
cnf(refute_0_2842,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))) )],[refute_0_2838,refute_0_2841]) ).
cnf(refute_0_2843,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero)
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero)))]]) ).
cnf(refute_0_2844,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero)
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2842,refute_0_2843]) ).
cnf(refute_0_2845,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero)) )],[refute_0_2830,refute_0_2844]) ).
cnf(refute_0_2846,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) != zero
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero)
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2847,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero) != zero
| composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero)) )],[refute_0_2845,refute_0_2846]) ).
cnf(refute_0_2848,plain,
composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))),zero),zero) )],[refute_0_2826,refute_0_2847]) ).
cnf(refute_0_2849,plain,
( composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != zero
| meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_2850,plain,
( meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_2848,refute_0_2849]) ).
cnf(refute_0_2851,plain,
( join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)) != composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2825,refute_0_2850]) ).
cnf(refute_0_2852,plain,
meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),zero)),composition(meet(skolemFOFtoCNF_X0,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(one)))),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1847,refute_0_2851]) ).
cnf(refute_0_2853,plain,
( meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != zero
| meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2854,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_2852,refute_0_2853]) ).
cnf(refute_0_2855,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1078,refute_0_2854]) ).
cnf(refute_0_2856,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,join(one,complement(one))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(one))))]]) ).
cnf(refute_0_2857,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,join(one,complement(one)))
| join(one,complement(one)) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2858,plain,
( join(one,complement(one)) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) )],[refute_0_2856,refute_0_2857]) ).
cnf(refute_0_2859,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_722,refute_0_2858]) ).
cnf(refute_0_2860,plain,
converse(join(converse(X0),composition(X_186,converse(X0)))) = join(X0,converse(composition(X_186,converse(X0)))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(composition(X_186,converse(X0))))]]) ).
cnf(refute_0_2861,plain,
composition(join(X_186,one),converse(X0)) = join(converse(X0),composition(X_186,converse(X0))),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(X_186)),bind(X_176,$fot(converse(X0)))]]) ).
cnf(refute_0_2862,plain,
( composition(join(X_186,one),converse(X0)) != join(converse(X0),composition(X_186,converse(X0)))
| join(converse(X0),composition(X_186,converse(X0))) = composition(join(X_186,one),converse(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_186,one),converse(X0)))),bind(Y,$fot(join(converse(X0),composition(X_186,converse(X0)))))]]) ).
cnf(refute_0_2863,plain,
join(converse(X0),composition(X_186,converse(X0))) = composition(join(X_186,one),converse(X0)),
inference(resolve,[$cnf( $equal(composition(join(X_186,one),converse(X0)),join(converse(X0),composition(X_186,converse(X0)))) )],[refute_0_2861,refute_0_2862]) ).
cnf(refute_0_2864,plain,
( converse(join(converse(X0),composition(X_186,converse(X0)))) != join(X0,converse(composition(X_186,converse(X0))))
| join(converse(X0),composition(X_186,converse(X0))) != composition(join(X_186,one),converse(X0))
| converse(composition(join(X_186,one),converse(X0))) = join(X0,converse(composition(X_186,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(X_186,converse(X0)))),join(X0,converse(composition(X_186,converse(X0))))) ),[0,0],$fot(composition(join(X_186,one),converse(X0)))]]) ).
cnf(refute_0_2865,plain,
( converse(join(converse(X0),composition(X_186,converse(X0)))) != join(X0,converse(composition(X_186,converse(X0))))
| converse(composition(join(X_186,one),converse(X0))) = join(X0,converse(composition(X_186,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(X_186,converse(X0))),composition(join(X_186,one),converse(X0))) )],[refute_0_2863,refute_0_2864]) ).
cnf(refute_0_2866,plain,
converse(composition(join(X_186,one),converse(X0))) = join(X0,converse(composition(X_186,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(X_186,converse(X0)))),join(X0,converse(composition(X_186,converse(X0))))) )],[refute_0_2860,refute_0_2865]) ).
cnf(refute_0_2867,plain,
converse(composition(join(X_186,one),converse(X0))) = composition(X0,converse(join(X_186,one))),
inference(subst,[],[refute_0_2542:[bind(X_18,$fot(join(X_186,one)))]]) ).
cnf(refute_0_2868,plain,
( converse(composition(join(X_186,one),converse(X0))) != composition(X0,converse(join(X_186,one)))
| converse(composition(join(X_186,one),converse(X0))) != join(X0,converse(composition(X_186,converse(X0))))
| composition(X0,converse(join(X_186,one))) = join(X0,converse(composition(X_186,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_186,one),converse(X0))),join(X0,converse(composition(X_186,converse(X0))))) ),[0],$fot(composition(X0,converse(join(X_186,one))))]]) ).
cnf(refute_0_2869,plain,
( converse(composition(join(X_186,one),converse(X0))) != join(X0,converse(composition(X_186,converse(X0))))
| composition(X0,converse(join(X_186,one))) = join(X0,converse(composition(X_186,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_186,one),converse(X0))),composition(X0,converse(join(X_186,one)))) )],[refute_0_2867,refute_0_2868]) ).
cnf(refute_0_2870,plain,
converse(composition(X_186,converse(X0))) = composition(X0,converse(X_186)),
inference(subst,[],[refute_0_2542:[bind(X_18,$fot(X_186))]]) ).
cnf(refute_0_2871,plain,
join(X0,converse(composition(X_186,converse(X0)))) = join(X0,converse(composition(X_186,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X0,converse(composition(X_186,converse(X0)))))]]) ).
cnf(refute_0_2872,plain,
( converse(composition(X_186,converse(X0))) != composition(X0,converse(X_186))
| join(X0,converse(composition(X_186,converse(X0)))) != join(X0,converse(composition(X_186,converse(X0))))
| join(X0,converse(composition(X_186,converse(X0)))) = join(X0,composition(X0,converse(X_186))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(composition(X_186,converse(X0)))),join(X0,converse(composition(X_186,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_186)))]]) ).
cnf(refute_0_2873,plain,
( converse(composition(X_186,converse(X0))) != composition(X0,converse(X_186))
| join(X0,converse(composition(X_186,converse(X0)))) = join(X0,composition(X0,converse(X_186))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_186,converse(X0)))),join(X0,converse(composition(X_186,converse(X0))))) )],[refute_0_2871,refute_0_2872]) ).
cnf(refute_0_2874,plain,
join(X0,converse(composition(X_186,converse(X0)))) = join(X0,composition(X0,converse(X_186))),
inference(resolve,[$cnf( $equal(converse(composition(X_186,converse(X0))),composition(X0,converse(X_186))) )],[refute_0_2870,refute_0_2873]) ).
cnf(refute_0_2875,plain,
( composition(X0,converse(join(X_186,one))) != join(X0,converse(composition(X_186,converse(X0))))
| join(X0,converse(composition(X_186,converse(X0)))) != join(X0,composition(X0,converse(X_186)))
| composition(X0,converse(join(X_186,one))) = join(X0,composition(X0,converse(X_186))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,converse(join(X_186,one))),join(X0,composition(X0,converse(X_186)))) ),[0],$fot(join(X0,converse(composition(X_186,converse(X0)))))]]) ).
cnf(refute_0_2876,plain,
( composition(X0,converse(join(X_186,one))) != join(X0,converse(composition(X_186,converse(X0))))
| composition(X0,converse(join(X_186,one))) = join(X0,composition(X0,converse(X_186))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_186,converse(X0)))),join(X0,composition(X0,converse(X_186)))) )],[refute_0_2874,refute_0_2875]) ).
cnf(refute_0_2877,plain,
( converse(composition(join(X_186,one),converse(X0))) != join(X0,converse(composition(X_186,converse(X0))))
| composition(X0,converse(join(X_186,one))) = join(X0,composition(X0,converse(X_186))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_186,one))),join(X0,converse(composition(X_186,converse(X0))))) )],[refute_0_2869,refute_0_2876]) ).
cnf(refute_0_2878,plain,
composition(X0,converse(join(X_186,one))) = join(X0,composition(X0,converse(X_186))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_186,one),converse(X0))),join(X0,converse(composition(X_186,converse(X0))))) )],[refute_0_2866,refute_0_2877]) ).
cnf(refute_0_2879,plain,
composition(X_401,converse(join(converse(X0),one))) = join(X_401,composition(X_401,converse(converse(X0)))),
inference(subst,[],[refute_0_2878:[bind(X0,$fot(X_401)),bind(X_186,$fot(converse(X0)))]]) ).
cnf(refute_0_2880,plain,
( composition(X_401,converse(join(converse(X0),one))) != join(X_401,composition(X_401,converse(converse(X0))))
| converse(converse(X0)) != X0
| composition(X_401,converse(join(converse(X0),one))) = join(X_401,composition(X_401,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_401,converse(join(converse(X0),one))),join(X_401,composition(X_401,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_2881,plain,
( composition(X_401,converse(join(converse(X0),one))) != join(X_401,composition(X_401,converse(converse(X0))))
| composition(X_401,converse(join(converse(X0),one))) = join(X_401,composition(X_401,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_2880]) ).
cnf(refute_0_2882,plain,
composition(X_401,converse(join(converse(X0),one))) = join(X_401,composition(X_401,X0)),
inference(resolve,[$cnf( $equal(composition(X_401,converse(join(converse(X0),one))),join(X_401,composition(X_401,converse(converse(X0))))) )],[refute_0_2879,refute_0_2881]) ).
cnf(refute_0_2883,plain,
join(converse(one),X0) = join(converse(one),X0),
introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).
cnf(refute_0_2884,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_2885,plain,
( converse(one) != one
| join(converse(one),X0) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) )],[refute_0_2883,refute_0_2884]) ).
cnf(refute_0_2886,plain,
join(converse(one),X0) = join(one,X0),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_2885]) ).
cnf(refute_0_2887,plain,
converse(join(one,converse(X0))) = join(converse(one),X0),
inference(subst,[],[refute_0_550:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_2888,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_38:[bind(X,$fot(converse(join(one,converse(X0))))),bind(Y,$fot(join(converse(one),X0))),bind(Z,$fot(join(one,X0)))]]) ).
cnf(refute_0_2889,plain,
( join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_2887,refute_0_2888]) ).
cnf(refute_0_2890,plain,
converse(join(one,converse(X0))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_2886,refute_0_2889]) ).
cnf(refute_0_2891,plain,
composition(X_401,converse(join(one,converse(X0)))) = composition(X_401,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(composition(X_401,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_2892,plain,
( composition(X_401,converse(join(one,converse(X0)))) != composition(X_401,converse(join(one,converse(X0))))
| converse(join(one,converse(X0))) != join(one,X0)
| composition(X_401,converse(join(one,converse(X0)))) = composition(X_401,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_401,converse(join(one,converse(X0)))),composition(X_401,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_2893,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| composition(X_401,converse(join(one,converse(X0)))) = composition(X_401,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_401,converse(join(one,converse(X0)))),composition(X_401,converse(join(one,converse(X0))))) )],[refute_0_2891,refute_0_2892]) ).
cnf(refute_0_2894,plain,
composition(X_401,converse(join(one,converse(X0)))) = composition(X_401,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_2890,refute_0_2893]) ).
cnf(refute_0_2895,plain,
join(X1,join(X1,composition(X1,converse(X_402)))) = join(X1,composition(X1,converse(X_402))),
inference(subst,[],[refute_0_1636:[bind(X2,$fot(composition(X1,converse(X_402))))]]) ).
cnf(refute_0_2896,plain,
composition(X1,converse(join(X_402,one))) = join(X1,composition(X1,converse(X_402))),
inference(subst,[],[refute_0_2878:[bind(X0,$fot(X1)),bind(X_186,$fot(X_402))]]) ).
cnf(refute_0_2897,plain,
( composition(X1,converse(join(X_402,one))) != join(X1,composition(X1,converse(X_402)))
| join(X1,composition(X1,converse(X_402))) = composition(X1,converse(join(X_402,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X1,converse(join(X_402,one))))),bind(Y,$fot(join(X1,composition(X1,converse(X_402)))))]]) ).
cnf(refute_0_2898,plain,
join(X1,composition(X1,converse(X_402))) = composition(X1,converse(join(X_402,one))),
inference(resolve,[$cnf( $equal(composition(X1,converse(join(X_402,one))),join(X1,composition(X1,converse(X_402)))) )],[refute_0_2896,refute_0_2897]) ).
cnf(refute_0_2899,plain,
( join(X1,composition(X1,converse(X_402))) != composition(X1,converse(join(X_402,one)))
| join(X1,join(X1,composition(X1,converse(X_402)))) != join(X1,composition(X1,converse(X_402)))
| join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(X_402,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),join(X1,composition(X1,converse(X_402)))) ),[1],$fot(composition(X1,converse(join(X_402,one))))]]) ).
cnf(refute_0_2900,plain,
( join(X1,join(X1,composition(X1,converse(X_402)))) != join(X1,composition(X1,converse(X_402)))
| join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(X_402,one))) ),
inference(resolve,[$cnf( $equal(join(X1,composition(X1,converse(X_402))),composition(X1,converse(join(X_402,one)))) )],[refute_0_2898,refute_0_2899]) ).
cnf(refute_0_2901,plain,
join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(X_402,one))),
inference(resolve,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),join(X1,composition(X1,converse(X_402)))) )],[refute_0_2895,refute_0_2900]) ).
cnf(refute_0_2902,plain,
join(one,join(X_402,one)) = join(one,X_402),
inference(subst,[],[refute_0_2657:[bind(X1,$fot(one)),bind(X_134,$fot(X_402))]]) ).
cnf(refute_0_2903,plain,
converse(join(one,join(X_402,one))) = converse(join(one,join(X_402,one))),
introduced(tautology,[refl,[$fot(converse(join(one,join(X_402,one))))]]) ).
cnf(refute_0_2904,plain,
( converse(join(one,join(X_402,one))) != converse(join(one,join(X_402,one)))
| join(one,join(X_402,one)) != join(one,X_402)
| converse(join(one,join(X_402,one))) = converse(join(one,X_402)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_402,one))),converse(join(one,join(X_402,one)))) ),[1,0],$fot(join(one,X_402))]]) ).
cnf(refute_0_2905,plain,
( join(one,join(X_402,one)) != join(one,X_402)
| converse(join(one,join(X_402,one))) = converse(join(one,X_402)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_402,one))),converse(join(one,join(X_402,one)))) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
converse(join(one,join(X_402,one))) = converse(join(one,X_402)),
inference(resolve,[$cnf( $equal(join(one,join(X_402,one)),join(one,X_402)) )],[refute_0_2902,refute_0_2905]) ).
cnf(refute_0_2907,plain,
composition(X1,converse(join(one,join(X_402,one)))) = composition(X1,converse(join(one,join(X_402,one)))),
introduced(tautology,[refl,[$fot(composition(X1,converse(join(one,join(X_402,one)))))]]) ).
cnf(refute_0_2908,plain,
( composition(X1,converse(join(one,join(X_402,one)))) != composition(X1,converse(join(one,join(X_402,one))))
| converse(join(one,join(X_402,one))) != converse(join(one,X_402))
| composition(X1,converse(join(one,join(X_402,one)))) = composition(X1,converse(join(one,X_402))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X1,converse(join(one,join(X_402,one)))),composition(X1,converse(join(one,join(X_402,one))))) ),[1,1],$fot(converse(join(one,X_402)))]]) ).
cnf(refute_0_2909,plain,
( converse(join(one,join(X_402,one))) != converse(join(one,X_402))
| composition(X1,converse(join(one,join(X_402,one)))) = composition(X1,converse(join(one,X_402))) ),
inference(resolve,[$cnf( $equal(composition(X1,converse(join(one,join(X_402,one)))),composition(X1,converse(join(one,join(X_402,one))))) )],[refute_0_2907,refute_0_2908]) ).
cnf(refute_0_2910,plain,
composition(X1,converse(join(one,join(X_402,one)))) = composition(X1,converse(join(one,X_402))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_402,one))),converse(join(one,X_402))) )],[refute_0_2906,refute_0_2909]) ).
cnf(refute_0_2911,plain,
converse(composition(join(X_310,one),converse(X0))) = composition(X0,converse(join(X_310,one))),
inference(subst,[],[refute_0_2542:[bind(X_18,$fot(join(X_310,one)))]]) ).
cnf(refute_0_2912,plain,
converse(composition(join(X_4,converse(X0)),X_19)) = composition(converse(X_19),converse(join(X_4,converse(X0)))),
inference(subst,[],[refute_0_219:[bind(X0,$fot(join(X_4,converse(X0)))),bind(X1,$fot(X_19))]]) ).
cnf(refute_0_2913,plain,
( converse(composition(join(X_4,converse(X0)),X_19)) != composition(converse(X_19),converse(join(X_4,converse(X0))))
| converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
| converse(composition(join(X_4,converse(X0)),X_19)) = composition(converse(X_19),join(converse(X_4),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_4,converse(X0)),X_19)),composition(converse(X_19),converse(join(X_4,converse(X0))))) ),[1,1],$fot(join(converse(X_4),X0))]]) ).
cnf(refute_0_2914,plain,
( converse(composition(join(X_4,converse(X0)),X_19)) != composition(converse(X_19),converse(join(X_4,converse(X0))))
| converse(composition(join(X_4,converse(X0)),X_19)) = composition(converse(X_19),join(converse(X_4),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_550,refute_0_2913]) ).
cnf(refute_0_2915,plain,
converse(composition(join(X_4,converse(X0)),X_19)) = composition(converse(X_19),join(converse(X_4),X0)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_4,converse(X0)),X_19)),composition(converse(X_19),converse(join(X_4,converse(X0))))) )],[refute_0_2912,refute_0_2914]) ).
cnf(refute_0_2916,plain,
converse(composition(join(X_292,converse(one)),X_291)) = composition(converse(X_291),join(converse(X_292),one)),
inference(subst,[],[refute_0_2915:[bind(X0,$fot(one)),bind(X_19,$fot(X_291)),bind(X_4,$fot(X_292))]]) ).
cnf(refute_0_2917,plain,
( converse(composition(join(X_292,converse(one)),X_291)) != composition(converse(X_291),join(converse(X_292),one))
| converse(one) != one
| converse(composition(join(X_292,one),X_291)) = composition(converse(X_291),join(converse(X_292),one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_292,converse(one)),X_291)),composition(converse(X_291),join(converse(X_292),one))) ),[0,0,0,1],$fot(one)]]) ).
cnf(refute_0_2918,plain,
( converse(composition(join(X_292,converse(one)),X_291)) != composition(converse(X_291),join(converse(X_292),one))
| converse(composition(join(X_292,one),X_291)) = composition(converse(X_291),join(converse(X_292),one)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_2917]) ).
cnf(refute_0_2919,plain,
converse(composition(join(X_292,one),X_291)) = composition(converse(X_291),join(converse(X_292),one)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_292,converse(one)),X_291)),composition(converse(X_291),join(converse(X_292),one))) )],[refute_0_2916,refute_0_2918]) ).
cnf(refute_0_2920,plain,
join(converse(one),X_292) = join(converse(one),X_292),
introduced(tautology,[refl,[$fot(join(converse(one),X_292))]]) ).
cnf(refute_0_2921,plain,
( converse(one) != one
| join(converse(one),X_292) != join(converse(one),X_292)
| join(converse(one),X_292) = join(one,X_292) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_292),join(converse(one),X_292)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2922,plain,
( converse(one) != one
| join(converse(one),X_292) = join(one,X_292) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_292),join(converse(one),X_292)) )],[refute_0_2920,refute_0_2921]) ).
cnf(refute_0_2923,plain,
join(converse(one),X_292) = join(one,X_292),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_2922]) ).
cnf(refute_0_2924,plain,
composition(join(converse(one),X_292),X_291) = composition(join(converse(one),X_292),X_291),
introduced(tautology,[refl,[$fot(composition(join(converse(one),X_292),X_291))]]) ).
cnf(refute_0_2925,plain,
( composition(join(converse(one),X_292),X_291) != composition(join(converse(one),X_292),X_291)
| join(converse(one),X_292) != join(one,X_292)
| composition(join(converse(one),X_292),X_291) = composition(join(one,X_292),X_291) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X_292),X_291),composition(join(converse(one),X_292),X_291)) ),[1,0],$fot(join(one,X_292))]]) ).
cnf(refute_0_2926,plain,
( join(converse(one),X_292) != join(one,X_292)
| composition(join(converse(one),X_292),X_291) = composition(join(one,X_292),X_291) ),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X_292),X_291),composition(join(converse(one),X_292),X_291)) )],[refute_0_2924,refute_0_2925]) ).
cnf(refute_0_2927,plain,
composition(join(converse(one),X_292),X_291) = composition(join(one,X_292),X_291),
inference(resolve,[$cnf( $equal(join(converse(one),X_292),join(one,X_292)) )],[refute_0_2923,refute_0_2926]) ).
cnf(refute_0_2928,plain,
converse(composition(join(converse(one),X_292),X_291)) = converse(composition(join(converse(one),X_292),X_291)),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(one),X_292),X_291)))]]) ).
cnf(refute_0_2929,plain,
( composition(join(converse(one),X_292),X_291) != composition(join(one,X_292),X_291)
| converse(composition(join(converse(one),X_292),X_291)) != converse(composition(join(converse(one),X_292),X_291))
| converse(composition(join(converse(one),X_292),X_291)) = converse(composition(join(one,X_292),X_291)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(one),X_292),X_291)),converse(composition(join(converse(one),X_292),X_291))) ),[1,0],$fot(composition(join(one,X_292),X_291))]]) ).
cnf(refute_0_2930,plain,
( composition(join(converse(one),X_292),X_291) != composition(join(one,X_292),X_291)
| converse(composition(join(converse(one),X_292),X_291)) = converse(composition(join(one,X_292),X_291)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(one),X_292),X_291)),converse(composition(join(converse(one),X_292),X_291))) )],[refute_0_2928,refute_0_2929]) ).
cnf(refute_0_2931,plain,
converse(composition(join(converse(one),X_292),X_291)) = converse(composition(join(one,X_292),X_291)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X_292),X_291),composition(join(one,X_292),X_291)) )],[refute_0_2927,refute_0_2930]) ).
cnf(refute_0_2932,plain,
converse(composition(join(converse(X0),X_5),X_19)) = composition(converse(X_19),converse(join(converse(X0),X_5))),
inference(subst,[],[refute_0_219:[bind(X0,$fot(join(converse(X0),X_5))),bind(X1,$fot(X_19))]]) ).
cnf(refute_0_2933,plain,
( converse(composition(join(converse(X0),X_5),X_19)) != composition(converse(X_19),converse(join(converse(X0),X_5)))
| converse(join(converse(X0),X_5)) != join(X0,converse(X_5))
| converse(composition(join(converse(X0),X_5),X_19)) = composition(converse(X_19),join(X0,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X0),X_5),X_19)),composition(converse(X_19),converse(join(converse(X0),X_5)))) ),[1,1],$fot(join(X0,converse(X_5)))]]) ).
cnf(refute_0_2934,plain,
( converse(composition(join(converse(X0),X_5),X_19)) != composition(converse(X_19),converse(join(converse(X0),X_5)))
| converse(composition(join(converse(X0),X_5),X_19)) = composition(converse(X_19),join(X0,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(X0,converse(X_5))) )],[refute_0_537,refute_0_2933]) ).
cnf(refute_0_2935,plain,
converse(composition(join(converse(X0),X_5),X_19)) = composition(converse(X_19),join(X0,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X0),X_5),X_19)),composition(converse(X_19),converse(join(converse(X0),X_5)))) )],[refute_0_2932,refute_0_2934]) ).
cnf(refute_0_2936,plain,
( converse(composition(join(converse(X0),X_5),X_19)) != composition(converse(X_19),join(X0,converse(X_5)))
| composition(converse(X_19),join(X0,converse(X_5))) = converse(composition(join(converse(X0),X_5),X_19)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(join(converse(X0),X_5),X_19)))),bind(Y,$fot(composition(converse(X_19),join(X0,converse(X_5)))))]]) ).
cnf(refute_0_2937,plain,
composition(converse(X_19),join(X0,converse(X_5))) = converse(composition(join(converse(X0),X_5),X_19)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X0),X_5),X_19)),composition(converse(X_19),join(X0,converse(X_5)))) )],[refute_0_2935,refute_0_2936]) ).
cnf(refute_0_2938,plain,
composition(converse(X_291),join(one,converse(X_292))) = converse(composition(join(converse(one),X_292),X_291)),
inference(subst,[],[refute_0_2937:[bind(X0,$fot(one)),bind(X_19,$fot(X_291)),bind(X_5,$fot(X_292))]]) ).
cnf(refute_0_2939,plain,
converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(X_287,converse(one))),
inference(subst,[],[refute_0_2935:[bind(X0,$fot(X_287)),bind(X_19,$fot(X_288)),bind(X_5,$fot(one))]]) ).
cnf(refute_0_2940,plain,
( converse(composition(join(converse(X_287),one),X_288)) != composition(converse(X_288),join(X_287,converse(one)))
| converse(one) != one
| converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(X_287,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_287),one),X_288)),composition(converse(X_288),join(X_287,converse(one)))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_2941,plain,
( converse(composition(join(converse(X_287),one),X_288)) != composition(converse(X_288),join(X_287,converse(one)))
| converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(X_287,one)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_2940]) ).
cnf(refute_0_2942,plain,
converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(X_287,one)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),one),X_288)),composition(converse(X_288),join(X_287,converse(one)))) )],[refute_0_2939,refute_0_2941]) ).
cnf(refute_0_2943,plain,
converse(composition(converse(join(one,X_287)),X_288)) = composition(converse(X_288),join(one,X_287)),
inference(subst,[],[refute_0_223:[bind(X0,$fot(join(one,X_287))),bind(X_19,$fot(X_288))]]) ).
cnf(refute_0_2944,plain,
join(one,converse(X_287)) = converse(join(one,X_287)),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(X_287))]]) ).
cnf(refute_0_2945,plain,
composition(join(one,converse(X_287)),X_288) = composition(join(one,converse(X_287)),X_288),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X_287)),X_288))]]) ).
cnf(refute_0_2946,plain,
( composition(join(one,converse(X_287)),X_288) != composition(join(one,converse(X_287)),X_288)
| join(one,converse(X_287)) != converse(join(one,X_287))
| composition(join(one,converse(X_287)),X_288) = composition(converse(join(one,X_287)),X_288) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(X_287)),X_288),composition(join(one,converse(X_287)),X_288)) ),[1,0],$fot(converse(join(one,X_287)))]]) ).
cnf(refute_0_2947,plain,
( join(one,converse(X_287)) != converse(join(one,X_287))
| composition(join(one,converse(X_287)),X_288) = composition(converse(join(one,X_287)),X_288) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_287)),X_288),composition(join(one,converse(X_287)),X_288)) )],[refute_0_2945,refute_0_2946]) ).
cnf(refute_0_2948,plain,
composition(join(one,converse(X_287)),X_288) = composition(converse(join(one,X_287)),X_288),
inference(resolve,[$cnf( $equal(join(one,converse(X_287)),converse(join(one,X_287))) )],[refute_0_2944,refute_0_2947]) ).
cnf(refute_0_2949,plain,
converse(composition(join(one,converse(X_287)),X_288)) = converse(composition(join(one,converse(X_287)),X_288)),
introduced(tautology,[refl,[$fot(converse(composition(join(one,converse(X_287)),X_288)))]]) ).
cnf(refute_0_2950,plain,
( composition(join(one,converse(X_287)),X_288) != composition(converse(join(one,X_287)),X_288)
| converse(composition(join(one,converse(X_287)),X_288)) != converse(composition(join(one,converse(X_287)),X_288))
| converse(composition(join(one,converse(X_287)),X_288)) = converse(composition(converse(join(one,X_287)),X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,converse(X_287)),X_288)),converse(composition(join(one,converse(X_287)),X_288))) ),[1,0],$fot(composition(converse(join(one,X_287)),X_288))]]) ).
cnf(refute_0_2951,plain,
( composition(join(one,converse(X_287)),X_288) != composition(converse(join(one,X_287)),X_288)
| converse(composition(join(one,converse(X_287)),X_288)) = converse(composition(converse(join(one,X_287)),X_288)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(X_287)),X_288)),converse(composition(join(one,converse(X_287)),X_288))) )],[refute_0_2949,refute_0_2950]) ).
cnf(refute_0_2952,plain,
converse(composition(join(one,converse(X_287)),X_288)) = converse(composition(converse(join(one,X_287)),X_288)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_287)),X_288),composition(converse(join(one,X_287)),X_288)) )],[refute_0_2948,refute_0_2951]) ).
cnf(refute_0_2953,plain,
( converse(composition(converse(join(one,X_287)),X_288)) != composition(converse(X_288),join(one,X_287))
| converse(composition(join(one,converse(X_287)),X_288)) != converse(composition(converse(join(one,X_287)),X_288))
| converse(composition(join(one,converse(X_287)),X_288)) = composition(converse(X_288),join(one,X_287)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(composition(join(one,converse(X_287)),X_288)))),bind(Y,$fot(converse(composition(converse(join(one,X_287)),X_288)))),bind(Z,$fot(composition(converse(X_288),join(one,X_287))))]]) ).
cnf(refute_0_2954,plain,
( converse(composition(converse(join(one,X_287)),X_288)) != composition(converse(X_288),join(one,X_287))
| converse(composition(join(one,converse(X_287)),X_288)) = composition(converse(X_288),join(one,X_287)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(X_287)),X_288)),converse(composition(converse(join(one,X_287)),X_288))) )],[refute_0_2952,refute_0_2953]) ).
cnf(refute_0_2955,plain,
converse(composition(join(one,converse(X_287)),X_288)) = composition(converse(X_288),join(one,X_287)),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,X_287)),X_288)),composition(converse(X_288),join(one,X_287))) )],[refute_0_2943,refute_0_2954]) ).
cnf(refute_0_2956,plain,
converse(composition(join(converse(X_287),X_289),X_288)) = composition(converse(X_288),join(X_287,converse(X_289))),
inference(subst,[],[refute_0_2935:[bind(X0,$fot(X_287)),bind(X_19,$fot(X_288)),bind(X_5,$fot(X_289))]]) ).
cnf(refute_0_2957,plain,
join(X_289,converse(X_287)) = join(converse(X_287),X_289),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_289)),bind(X1,$fot(converse(X_287)))]]) ).
cnf(refute_0_2958,plain,
( join(X_289,converse(X_287)) != join(converse(X_287),X_289)
| join(converse(X_287),X_289) = join(X_289,converse(X_287)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_289,converse(X_287)))),bind(Y,$fot(join(converse(X_287),X_289)))]]) ).
cnf(refute_0_2959,plain,
join(converse(X_287),X_289) = join(X_289,converse(X_287)),
inference(resolve,[$cnf( $equal(join(X_289,converse(X_287)),join(converse(X_287),X_289)) )],[refute_0_2957,refute_0_2958]) ).
cnf(refute_0_2960,plain,
( converse(composition(join(converse(X_287),X_289),X_288)) != composition(converse(X_288),join(X_287,converse(X_289)))
| join(converse(X_287),X_289) != join(X_289,converse(X_287))
| converse(composition(join(X_289,converse(X_287)),X_288)) = composition(converse(X_288),join(X_287,converse(X_289))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_287),X_289),X_288)),composition(converse(X_288),join(X_287,converse(X_289)))) ),[0,0,0],$fot(join(X_289,converse(X_287)))]]) ).
cnf(refute_0_2961,plain,
( converse(composition(join(converse(X_287),X_289),X_288)) != composition(converse(X_288),join(X_287,converse(X_289)))
| converse(composition(join(X_289,converse(X_287)),X_288)) = composition(converse(X_288),join(X_287,converse(X_289))) ),
inference(resolve,[$cnf( $equal(join(converse(X_287),X_289),join(X_289,converse(X_287))) )],[refute_0_2959,refute_0_2960]) ).
cnf(refute_0_2962,plain,
converse(composition(join(X_289,converse(X_287)),X_288)) = composition(converse(X_288),join(X_287,converse(X_289))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),X_289),X_288)),composition(converse(X_288),join(X_287,converse(X_289)))) )],[refute_0_2956,refute_0_2961]) ).
cnf(refute_0_2963,plain,
composition(converse(X_288),join(X_287,converse(X_289))) = converse(composition(join(converse(X_287),X_289),X_288)),
inference(subst,[],[refute_0_2937:[bind(X0,$fot(X_287)),bind(X_19,$fot(X_288)),bind(X_5,$fot(X_289))]]) ).
cnf(refute_0_2964,plain,
( composition(converse(X_288),join(X_287,converse(X_289))) != converse(composition(join(converse(X_287),X_289),X_288))
| converse(composition(join(X_289,converse(X_287)),X_288)) != composition(converse(X_288),join(X_287,converse(X_289)))
| converse(composition(join(X_289,converse(X_287)),X_288)) = converse(composition(join(converse(X_287),X_289),X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_289,converse(X_287)),X_288)),composition(converse(X_288),join(X_287,converse(X_289)))) ),[1],$fot(converse(composition(join(converse(X_287),X_289),X_288)))]]) ).
cnf(refute_0_2965,plain,
( converse(composition(join(X_289,converse(X_287)),X_288)) != composition(converse(X_288),join(X_287,converse(X_289)))
| converse(composition(join(X_289,converse(X_287)),X_288)) = converse(composition(join(converse(X_287),X_289),X_288)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_288),join(X_287,converse(X_289))),converse(composition(join(converse(X_287),X_289),X_288))) )],[refute_0_2963,refute_0_2964]) ).
cnf(refute_0_2966,plain,
converse(composition(join(X_289,converse(X_287)),X_288)) = converse(composition(join(converse(X_287),X_289),X_288)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_289,converse(X_287)),X_288)),composition(converse(X_288),join(X_287,converse(X_289)))) )],[refute_0_2962,refute_0_2965]) ).
cnf(refute_0_2967,plain,
( converse(composition(join(X_289,converse(X_287)),X_288)) != converse(composition(join(converse(X_287),X_289),X_288))
| converse(composition(join(converse(X_287),X_289),X_288)) = converse(composition(join(X_289,converse(X_287)),X_288)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(join(X_289,converse(X_287)),X_288)))),bind(Y,$fot(converse(composition(join(converse(X_287),X_289),X_288))))]]) ).
cnf(refute_0_2968,plain,
converse(composition(join(converse(X_287),X_289),X_288)) = converse(composition(join(X_289,converse(X_287)),X_288)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_289,converse(X_287)),X_288)),converse(composition(join(converse(X_287),X_289),X_288))) )],[refute_0_2966,refute_0_2967]) ).
cnf(refute_0_2969,plain,
converse(composition(join(converse(X_287),one),X_288)) = converse(composition(join(one,converse(X_287)),X_288)),
inference(subst,[],[refute_0_2968:[bind(X_289,$fot(one))]]) ).
cnf(refute_0_2970,plain,
( converse(composition(join(converse(X_287),one),X_288)) != converse(composition(join(one,converse(X_287)),X_288))
| converse(composition(join(one,converse(X_287)),X_288)) != composition(converse(X_288),join(one,X_287))
| converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(one,X_287)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(composition(join(converse(X_287),one),X_288)))),bind(Y,$fot(converse(composition(join(one,converse(X_287)),X_288)))),bind(Z,$fot(composition(converse(X_288),join(one,X_287))))]]) ).
cnf(refute_0_2971,plain,
( converse(composition(join(one,converse(X_287)),X_288)) != composition(converse(X_288),join(one,X_287))
| converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(one,X_287)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),one),X_288)),converse(composition(join(one,converse(X_287)),X_288))) )],[refute_0_2969,refute_0_2970]) ).
cnf(refute_0_2972,plain,
converse(composition(join(converse(X_287),one),X_288)) = composition(converse(X_288),join(one,X_287)),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(X_287)),X_288)),composition(converse(X_288),join(one,X_287))) )],[refute_0_2955,refute_0_2971]) ).
cnf(refute_0_2973,plain,
( converse(composition(join(converse(X_287),one),X_288)) != composition(converse(X_288),join(X_287,one))
| converse(composition(join(converse(X_287),one),X_288)) != composition(converse(X_288),join(one,X_287))
| composition(converse(X_288),join(one,X_287)) = composition(converse(X_288),join(X_287,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_287),one),X_288)),composition(converse(X_288),join(X_287,one))) ),[0],$fot(composition(converse(X_288),join(one,X_287)))]]) ).
cnf(refute_0_2974,plain,
( converse(composition(join(converse(X_287),one),X_288)) != composition(converse(X_288),join(X_287,one))
| composition(converse(X_288),join(one,X_287)) = composition(converse(X_288),join(X_287,one)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),one),X_288)),composition(converse(X_288),join(one,X_287))) )],[refute_0_2972,refute_0_2973]) ).
cnf(refute_0_2975,plain,
composition(converse(X_288),join(one,X_287)) = composition(converse(X_288),join(X_287,one)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),one),X_288)),composition(converse(X_288),join(X_287,one))) )],[refute_0_2942,refute_0_2974]) ).
cnf(refute_0_2976,plain,
( composition(converse(X_288),join(one,X_287)) != composition(converse(X_288),join(X_287,one))
| composition(converse(X_288),join(X_287,one)) = composition(converse(X_288),join(one,X_287)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(X_288),join(one,X_287)))),bind(Y,$fot(composition(converse(X_288),join(X_287,one))))]]) ).
cnf(refute_0_2977,plain,
composition(converse(X_288),join(X_287,one)) = composition(converse(X_288),join(one,X_287)),
inference(resolve,[$cnf( $equal(composition(converse(X_288),join(one,X_287)),composition(converse(X_288),join(X_287,one))) )],[refute_0_2975,refute_0_2976]) ).
cnf(refute_0_2978,plain,
composition(converse(X_291),join(converse(X_292),one)) = composition(converse(X_291),join(one,converse(X_292))),
inference(subst,[],[refute_0_2977:[bind(X_287,$fot(converse(X_292))),bind(X_288,$fot(X_291))]]) ).
cnf(refute_0_2979,plain,
( composition(converse(X_291),join(converse(X_292),one)) != composition(converse(X_291),join(one,converse(X_292)))
| composition(converse(X_291),join(one,converse(X_292))) != converse(composition(join(converse(one),X_292),X_291))
| composition(converse(X_291),join(converse(X_292),one)) = converse(composition(join(converse(one),X_292),X_291)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(X_291),join(converse(X_292),one)))),bind(Y,$fot(composition(converse(X_291),join(one,converse(X_292))))),bind(Z,$fot(converse(composition(join(converse(one),X_292),X_291))))]]) ).
cnf(refute_0_2980,plain,
( composition(converse(X_291),join(one,converse(X_292))) != converse(composition(join(converse(one),X_292),X_291))
| composition(converse(X_291),join(converse(X_292),one)) = converse(composition(join(converse(one),X_292),X_291)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(converse(X_292),one)),composition(converse(X_291),join(one,converse(X_292)))) )],[refute_0_2978,refute_0_2979]) ).
cnf(refute_0_2981,plain,
composition(converse(X_291),join(converse(X_292),one)) = converse(composition(join(converse(one),X_292),X_291)),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(one,converse(X_292))),converse(composition(join(converse(one),X_292),X_291))) )],[refute_0_2938,refute_0_2980]) ).
cnf(refute_0_2982,plain,
( composition(converse(X_291),join(converse(X_292),one)) != converse(composition(join(converse(one),X_292),X_291))
| converse(composition(join(converse(one),X_292),X_291)) != converse(composition(join(one,X_292),X_291))
| composition(converse(X_291),join(converse(X_292),one)) = converse(composition(join(one,X_292),X_291)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(X_291),join(converse(X_292),one)))),bind(Y,$fot(converse(composition(join(converse(one),X_292),X_291)))),bind(Z,$fot(converse(composition(join(one,X_292),X_291))))]]) ).
cnf(refute_0_2983,plain,
( converse(composition(join(converse(one),X_292),X_291)) != converse(composition(join(one,X_292),X_291))
| composition(converse(X_291),join(converse(X_292),one)) = converse(composition(join(one,X_292),X_291)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(converse(X_292),one)),converse(composition(join(converse(one),X_292),X_291))) )],[refute_0_2981,refute_0_2982]) ).
cnf(refute_0_2984,plain,
composition(converse(X_291),join(converse(X_292),one)) = converse(composition(join(one,X_292),X_291)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(one),X_292),X_291)),converse(composition(join(one,X_292),X_291))) )],[refute_0_2931,refute_0_2983]) ).
cnf(refute_0_2985,plain,
( composition(converse(X_291),join(converse(X_292),one)) != converse(composition(join(one,X_292),X_291))
| converse(composition(join(X_292,one),X_291)) != composition(converse(X_291),join(converse(X_292),one))
| converse(composition(join(X_292,one),X_291)) = converse(composition(join(one,X_292),X_291)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_292,one),X_291)),composition(converse(X_291),join(converse(X_292),one))) ),[1],$fot(converse(composition(join(one,X_292),X_291)))]]) ).
cnf(refute_0_2986,plain,
( converse(composition(join(X_292,one),X_291)) != composition(converse(X_291),join(converse(X_292),one))
| converse(composition(join(X_292,one),X_291)) = converse(composition(join(one,X_292),X_291)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(converse(X_292),one)),converse(composition(join(one,X_292),X_291))) )],[refute_0_2984,refute_0_2985]) ).
cnf(refute_0_2987,plain,
converse(composition(join(X_292,one),X_291)) = converse(composition(join(one,X_292),X_291)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_292,one),X_291)),composition(converse(X_291),join(converse(X_292),one))) )],[refute_0_2919,refute_0_2986]) ).
cnf(refute_0_2988,plain,
converse(composition(join(X_310,one),converse(X0))) = converse(composition(join(one,X_310),converse(X0))),
inference(subst,[],[refute_0_2987:[bind(X_291,$fot(converse(X0))),bind(X_292,$fot(X_310))]]) ).
cnf(refute_0_2989,plain,
( converse(composition(join(X_310,one),converse(X0))) != composition(X0,converse(join(X_310,one)))
| converse(composition(join(X_310,one),converse(X0))) != converse(composition(join(one,X_310),converse(X0)))
| converse(composition(join(one,X_310),converse(X0))) = composition(X0,converse(join(X_310,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_310,one),converse(X0))),composition(X0,converse(join(X_310,one)))) ),[0],$fot(converse(composition(join(one,X_310),converse(X0))))]]) ).
cnf(refute_0_2990,plain,
( converse(composition(join(X_310,one),converse(X0))) != composition(X0,converse(join(X_310,one)))
| converse(composition(join(one,X_310),converse(X0))) = composition(X0,converse(join(X_310,one))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_310,one),converse(X0))),converse(composition(join(one,X_310),converse(X0)))) )],[refute_0_2988,refute_0_2989]) ).
cnf(refute_0_2991,plain,
converse(composition(join(one,X_310),converse(X0))) = composition(X0,converse(join(X_310,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_310,one),converse(X0))),composition(X0,converse(join(X_310,one)))) )],[refute_0_2911,refute_0_2990]) ).
cnf(refute_0_2992,plain,
converse(composition(join(one,X_310),converse(X0))) = composition(X0,converse(join(one,X_310))),
inference(subst,[],[refute_0_2542:[bind(X_18,$fot(join(one,X_310)))]]) ).
cnf(refute_0_2993,plain,
( converse(composition(join(one,X_310),converse(X0))) != composition(X0,converse(join(X_310,one)))
| converse(composition(join(one,X_310),converse(X0))) != composition(X0,converse(join(one,X_310)))
| composition(X0,converse(join(one,X_310))) = composition(X0,converse(join(X_310,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,X_310),converse(X0))),composition(X0,converse(join(X_310,one)))) ),[0],$fot(composition(X0,converse(join(one,X_310))))]]) ).
cnf(refute_0_2994,plain,
( converse(composition(join(one,X_310),converse(X0))) != composition(X0,converse(join(X_310,one)))
| composition(X0,converse(join(one,X_310))) = composition(X0,converse(join(X_310,one))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,X_310),converse(X0))),composition(X0,converse(join(one,X_310)))) )],[refute_0_2992,refute_0_2993]) ).
cnf(refute_0_2995,plain,
composition(X0,converse(join(one,X_310))) = composition(X0,converse(join(X_310,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,X_310),converse(X0))),composition(X0,converse(join(X_310,one)))) )],[refute_0_2991,refute_0_2994]) ).
cnf(refute_0_2996,plain,
( composition(X0,converse(join(one,X_310))) != composition(X0,converse(join(X_310,one)))
| composition(X0,converse(join(X_310,one))) = composition(X0,converse(join(one,X_310))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,converse(join(one,X_310))))),bind(Y,$fot(composition(X0,converse(join(X_310,one)))))]]) ).
cnf(refute_0_2997,plain,
composition(X0,converse(join(X_310,one))) = composition(X0,converse(join(one,X_310))),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,X_310))),composition(X0,converse(join(X_310,one)))) )],[refute_0_2995,refute_0_2996]) ).
cnf(refute_0_2998,plain,
composition(X1,converse(join(join(X_402,one),one))) = composition(X1,converse(join(one,join(X_402,one)))),
inference(subst,[],[refute_0_2997:[bind(X0,$fot(X1)),bind(X_310,$fot(join(X_402,one)))]]) ).
cnf(refute_0_2999,plain,
( composition(X0,converse(join(X_186,one))) != join(X0,composition(X0,converse(X_186)))
| join(X0,composition(X0,converse(X_186))) = composition(X0,converse(join(X_186,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,converse(join(X_186,one))))),bind(Y,$fot(join(X0,composition(X0,converse(X_186)))))]]) ).
cnf(refute_0_3000,plain,
join(X0,composition(X0,converse(X_186))) = composition(X0,converse(join(X_186,one))),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_186,one))),join(X0,composition(X0,converse(X_186)))) )],[refute_0_2878,refute_0_2999]) ).
cnf(refute_0_3001,plain,
join(X1,composition(X1,converse(join(X_402,one)))) = composition(X1,converse(join(join(X_402,one),one))),
inference(subst,[],[refute_0_3000:[bind(X0,$fot(X1)),bind(X_186,$fot(join(X_402,one)))]]) ).
cnf(refute_0_3002,plain,
( composition(X1,converse(join(join(X_402,one),one))) != composition(X1,converse(join(one,join(X_402,one))))
| join(X1,composition(X1,converse(join(X_402,one)))) != composition(X1,converse(join(join(X_402,one),one)))
| join(X1,composition(X1,converse(join(X_402,one)))) = composition(X1,converse(join(one,join(X_402,one)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X1,composition(X1,converse(join(X_402,one)))))),bind(Y,$fot(composition(X1,converse(join(join(X_402,one),one))))),bind(Z,$fot(composition(X1,converse(join(one,join(X_402,one))))))]]) ).
cnf(refute_0_3003,plain,
( composition(X1,converse(join(join(X_402,one),one))) != composition(X1,converse(join(one,join(X_402,one))))
| join(X1,composition(X1,converse(join(X_402,one)))) = composition(X1,converse(join(one,join(X_402,one)))) ),
inference(resolve,[$cnf( $equal(join(X1,composition(X1,converse(join(X_402,one)))),composition(X1,converse(join(join(X_402,one),one)))) )],[refute_0_3001,refute_0_3002]) ).
cnf(refute_0_3004,plain,
join(X1,composition(X1,converse(join(X_402,one)))) = composition(X1,converse(join(one,join(X_402,one)))),
inference(resolve,[$cnf( $equal(composition(X1,converse(join(join(X_402,one),one))),composition(X1,converse(join(one,join(X_402,one))))) )],[refute_0_2998,refute_0_3003]) ).
cnf(refute_0_3005,plain,
join(composition(X_57,converse(X_402)),join(X_56,X_57)) = join(X_56,join(X_57,composition(X_57,converse(X_402)))),
inference(subst,[],[refute_0_661:[bind(X0,$fot(composition(X_57,converse(X_402))))]]) ).
cnf(refute_0_3006,plain,
composition(X_57,converse(join(X_402,one))) = join(X_57,composition(X_57,converse(X_402))),
inference(subst,[],[refute_0_2878:[bind(X0,$fot(X_57)),bind(X_186,$fot(X_402))]]) ).
cnf(refute_0_3007,plain,
( composition(X_57,converse(join(X_402,one))) != join(X_57,composition(X_57,converse(X_402)))
| join(X_57,composition(X_57,converse(X_402))) = composition(X_57,converse(join(X_402,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_57,converse(join(X_402,one))))),bind(Y,$fot(join(X_57,composition(X_57,converse(X_402)))))]]) ).
cnf(refute_0_3008,plain,
join(X_57,composition(X_57,converse(X_402))) = composition(X_57,converse(join(X_402,one))),
inference(resolve,[$cnf( $equal(composition(X_57,converse(join(X_402,one))),join(X_57,composition(X_57,converse(X_402)))) )],[refute_0_3006,refute_0_3007]) ).
cnf(refute_0_3009,plain,
( join(X_57,composition(X_57,converse(X_402))) != composition(X_57,converse(join(X_402,one)))
| join(composition(X_57,converse(X_402)),join(X_56,X_57)) != join(X_56,join(X_57,composition(X_57,converse(X_402))))
| join(composition(X_57,converse(X_402)),join(X_56,X_57)) = join(X_56,composition(X_57,converse(join(X_402,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_57,converse(X_402)),join(X_56,X_57)),join(X_56,join(X_57,composition(X_57,converse(X_402))))) ),[1,1],$fot(composition(X_57,converse(join(X_402,one))))]]) ).
cnf(refute_0_3010,plain,
( join(composition(X_57,converse(X_402)),join(X_56,X_57)) != join(X_56,join(X_57,composition(X_57,converse(X_402))))
| join(composition(X_57,converse(X_402)),join(X_56,X_57)) = join(X_56,composition(X_57,converse(join(X_402,one)))) ),
inference(resolve,[$cnf( $equal(join(X_57,composition(X_57,converse(X_402))),composition(X_57,converse(join(X_402,one)))) )],[refute_0_3008,refute_0_3009]) ).
cnf(refute_0_3011,plain,
join(composition(X_57,converse(X_402)),join(X_56,X_57)) = join(X_56,composition(X_57,converse(join(X_402,one)))),
inference(resolve,[$cnf( $equal(join(composition(X_57,converse(X_402)),join(X_56,X_57)),join(X_56,join(X_57,composition(X_57,converse(X_402))))) )],[refute_0_3005,refute_0_3010]) ).
cnf(refute_0_3012,plain,
join(composition(X_57,converse(X_402)),join(X_56,X_57)) = join(X_57,join(X_56,composition(X_57,converse(X_402)))),
inference(subst,[],[refute_0_2020:[bind(X_325,$fot(X_57)),bind(X_326,$fot(composition(X_57,converse(X_402)))),bind(X_327,$fot(X_56))]]) ).
cnf(refute_0_3013,plain,
( join(composition(X_57,converse(X_402)),join(X_56,X_57)) != join(X_56,composition(X_57,converse(join(X_402,one))))
| join(composition(X_57,converse(X_402)),join(X_56,X_57)) != join(X_57,join(X_56,composition(X_57,converse(X_402))))
| join(X_57,join(X_56,composition(X_57,converse(X_402)))) = join(X_56,composition(X_57,converse(join(X_402,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_57,converse(X_402)),join(X_56,X_57)),join(X_56,composition(X_57,converse(join(X_402,one))))) ),[0],$fot(join(X_57,join(X_56,composition(X_57,converse(X_402)))))]]) ).
cnf(refute_0_3014,plain,
( join(composition(X_57,converse(X_402)),join(X_56,X_57)) != join(X_56,composition(X_57,converse(join(X_402,one))))
| join(X_57,join(X_56,composition(X_57,converse(X_402)))) = join(X_56,composition(X_57,converse(join(X_402,one)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_57,converse(X_402)),join(X_56,X_57)),join(X_57,join(X_56,composition(X_57,converse(X_402))))) )],[refute_0_3012,refute_0_3013]) ).
cnf(refute_0_3015,plain,
join(X_57,join(X_56,composition(X_57,converse(X_402)))) = join(X_56,composition(X_57,converse(join(X_402,one)))),
inference(resolve,[$cnf( $equal(join(composition(X_57,converse(X_402)),join(X_56,X_57)),join(X_56,composition(X_57,converse(join(X_402,one))))) )],[refute_0_3011,refute_0_3014]) ).
cnf(refute_0_3016,plain,
join(X1,join(X1,composition(X1,converse(X_402)))) = join(X1,composition(X1,converse(join(X_402,one)))),
inference(subst,[],[refute_0_3015:[bind(X_56,$fot(X1)),bind(X_57,$fot(X1))]]) ).
cnf(refute_0_3017,plain,
( join(X1,composition(X1,converse(join(X_402,one)))) != composition(X1,converse(join(one,join(X_402,one))))
| join(X1,join(X1,composition(X1,converse(X_402)))) != join(X1,composition(X1,converse(join(X_402,one))))
| join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(one,join(X_402,one)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X1,join(X1,composition(X1,converse(X_402)))))),bind(Y,$fot(join(X1,composition(X1,converse(join(X_402,one)))))),bind(Z,$fot(composition(X1,converse(join(one,join(X_402,one))))))]]) ).
cnf(refute_0_3018,plain,
( join(X1,composition(X1,converse(join(X_402,one)))) != composition(X1,converse(join(one,join(X_402,one))))
| join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(one,join(X_402,one)))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),join(X1,composition(X1,converse(join(X_402,one))))) )],[refute_0_3016,refute_0_3017]) ).
cnf(refute_0_3019,plain,
join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(one,join(X_402,one)))),
inference(resolve,[$cnf( $equal(join(X1,composition(X1,converse(join(X_402,one)))),composition(X1,converse(join(one,join(X_402,one))))) )],[refute_0_3004,refute_0_3018]) ).
cnf(refute_0_3020,plain,
( composition(X1,converse(join(one,join(X_402,one)))) != composition(X1,converse(join(one,X_402)))
| join(X1,join(X1,composition(X1,converse(X_402)))) != composition(X1,converse(join(one,join(X_402,one))))
| join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(one,X_402))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X1,join(X1,composition(X1,converse(X_402)))))),bind(Y,$fot(composition(X1,converse(join(one,join(X_402,one)))))),bind(Z,$fot(composition(X1,converse(join(one,X_402)))))]]) ).
cnf(refute_0_3021,plain,
( composition(X1,converse(join(one,join(X_402,one)))) != composition(X1,converse(join(one,X_402)))
| join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(one,X_402))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),composition(X1,converse(join(one,join(X_402,one))))) )],[refute_0_3019,refute_0_3020]) ).
cnf(refute_0_3022,plain,
join(X1,join(X1,composition(X1,converse(X_402)))) = composition(X1,converse(join(one,X_402))),
inference(resolve,[$cnf( $equal(composition(X1,converse(join(one,join(X_402,one)))),composition(X1,converse(join(one,X_402)))) )],[refute_0_2910,refute_0_3021]) ).
cnf(refute_0_3023,plain,
( join(X1,join(X1,composition(X1,converse(X_402)))) != composition(X1,converse(join(X_402,one)))
| join(X1,join(X1,composition(X1,converse(X_402)))) != composition(X1,converse(join(one,X_402)))
| composition(X1,converse(join(one,X_402))) = composition(X1,converse(join(X_402,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),composition(X1,converse(join(X_402,one)))) ),[0],$fot(composition(X1,converse(join(one,X_402))))]]) ).
cnf(refute_0_3024,plain,
( join(X1,join(X1,composition(X1,converse(X_402)))) != composition(X1,converse(join(X_402,one)))
| composition(X1,converse(join(one,X_402))) = composition(X1,converse(join(X_402,one))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),composition(X1,converse(join(one,X_402)))) )],[refute_0_3022,refute_0_3023]) ).
cnf(refute_0_3025,plain,
composition(X1,converse(join(one,X_402))) = composition(X1,converse(join(X_402,one))),
inference(resolve,[$cnf( $equal(join(X1,join(X1,composition(X1,converse(X_402)))),composition(X1,converse(join(X_402,one)))) )],[refute_0_2901,refute_0_3024]) ).
cnf(refute_0_3026,plain,
( composition(X1,converse(join(one,X_402))) != composition(X1,converse(join(X_402,one)))
| composition(X1,converse(join(X_402,one))) = composition(X1,converse(join(one,X_402))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X1,converse(join(one,X_402))))),bind(Y,$fot(composition(X1,converse(join(X_402,one)))))]]) ).
cnf(refute_0_3027,plain,
composition(X1,converse(join(X_402,one))) = composition(X1,converse(join(one,X_402))),
inference(resolve,[$cnf( $equal(composition(X1,converse(join(one,X_402))),composition(X1,converse(join(X_402,one)))) )],[refute_0_3025,refute_0_3026]) ).
cnf(refute_0_3028,plain,
composition(X_401,converse(join(converse(X0),one))) = composition(X_401,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_3027:[bind(X1,$fot(X_401)),bind(X_402,$fot(converse(X0)))]]) ).
cnf(refute_0_3029,plain,
( composition(X_401,converse(join(converse(X0),one))) != composition(X_401,converse(join(one,converse(X0))))
| composition(X_401,converse(join(one,converse(X0)))) != composition(X_401,join(one,X0))
| composition(X_401,converse(join(converse(X0),one))) = composition(X_401,join(one,X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(X_401,converse(join(converse(X0),one))))),bind(Y,$fot(composition(X_401,converse(join(one,converse(X0)))))),bind(Z,$fot(composition(X_401,join(one,X0))))]]) ).
cnf(refute_0_3030,plain,
( composition(X_401,converse(join(one,converse(X0)))) != composition(X_401,join(one,X0))
| composition(X_401,converse(join(converse(X0),one))) = composition(X_401,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_401,converse(join(converse(X0),one))),composition(X_401,converse(join(one,converse(X0))))) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
composition(X_401,converse(join(converse(X0),one))) = composition(X_401,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_401,converse(join(one,converse(X0)))),composition(X_401,join(one,X0))) )],[refute_0_2894,refute_0_3030]) ).
cnf(refute_0_3032,plain,
( composition(X_401,converse(join(converse(X0),one))) != composition(X_401,join(one,X0))
| composition(X_401,converse(join(converse(X0),one))) != join(X_401,composition(X_401,X0))
| composition(X_401,join(one,X0)) = join(X_401,composition(X_401,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_401,converse(join(converse(X0),one))),join(X_401,composition(X_401,X0))) ),[0],$fot(composition(X_401,join(one,X0)))]]) ).
cnf(refute_0_3033,plain,
( composition(X_401,converse(join(converse(X0),one))) != join(X_401,composition(X_401,X0))
| composition(X_401,join(one,X0)) = join(X_401,composition(X_401,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_401,converse(join(converse(X0),one))),composition(X_401,join(one,X0))) )],[refute_0_3031,refute_0_3032]) ).
cnf(refute_0_3034,plain,
composition(X_401,join(one,X0)) = join(X_401,composition(X_401,X0)),
inference(resolve,[$cnf( $equal(composition(X_401,converse(join(converse(X0),one))),join(X_401,composition(X_401,X0))) )],[refute_0_2882,refute_0_3033]) ).
cnf(refute_0_3035,plain,
( composition(X_401,join(one,X0)) != join(X_401,composition(X_401,X0))
| join(X_401,composition(X_401,X0)) = composition(X_401,join(one,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_401,join(one,X0)))),bind(Y,$fot(join(X_401,composition(X_401,X0))))]]) ).
cnf(refute_0_3036,plain,
join(X_401,composition(X_401,X0)) = composition(X_401,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_401,join(one,X0)),join(X_401,composition(X_401,X0))) )],[refute_0_3034,refute_0_3035]) ).
cnf(refute_0_3037,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,join(one,complement(one))),
inference(subst,[],[refute_0_3036:[bind(X0,$fot(complement(one))),bind(X_401,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3038,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,join(one,complement(one)))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,complement(one))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3039,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) )],[refute_0_3037,refute_0_3038]) ).
cnf(refute_0_3040,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2859,refute_0_3039]) ).
cnf(refute_0_3041,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_3042,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_3043,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_3041,refute_0_3042]) ).
cnf(refute_0_3044,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_3040,refute_0_3043]) ).
cnf(refute_0_3045,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_3046,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3047,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_3045,refute_0_3046]) ).
cnf(refute_0_3048,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3044,refute_0_3047]) ).
cnf(refute_0_3049,plain,
join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(X_507,complement(one)),X_19))))) = complement(converse(join(X_507,complement(one)))),
inference(subst,[],[refute_0_2125:[bind(X_18,$fot(join(X_507,complement(one))))]]) ).
cnf(refute_0_3050,plain,
converse(composition(join(X_292,converse(complement(one))),X_291)) = composition(converse(X_291),join(converse(X_292),complement(one))),
inference(subst,[],[refute_0_2915:[bind(X0,$fot(complement(one))),bind(X_19,$fot(X_291)),bind(X_4,$fot(X_292))]]) ).
cnf(refute_0_3051,plain,
( converse(complement(one)) != complement(one)
| converse(composition(join(X_292,converse(complement(one))),X_291)) != composition(converse(X_291),join(converse(X_292),complement(one)))
| converse(composition(join(X_292,complement(one)),X_291)) = composition(converse(X_291),join(converse(X_292),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_292,converse(complement(one))),X_291)),composition(converse(X_291),join(converse(X_292),complement(one)))) ),[0,0,0,1],$fot(complement(one))]]) ).
cnf(refute_0_3052,plain,
( converse(composition(join(X_292,converse(complement(one))),X_291)) != composition(converse(X_291),join(converse(X_292),complement(one)))
| converse(composition(join(X_292,complement(one)),X_291)) = composition(converse(X_291),join(converse(X_292),complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_3051]) ).
cnf(refute_0_3053,plain,
converse(composition(join(X_292,complement(one)),X_291)) = composition(converse(X_291),join(converse(X_292),complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_292,converse(complement(one))),X_291)),composition(converse(X_291),join(converse(X_292),complement(one)))) )],[refute_0_3050,refute_0_3052]) ).
cnf(refute_0_3054,plain,
join(converse(complement(one)),X_292) = join(converse(complement(one)),X_292),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),X_292))]]) ).
cnf(refute_0_3055,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X_292) != join(converse(complement(one)),X_292)
| join(converse(complement(one)),X_292) = join(complement(one),X_292) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),X_292),join(converse(complement(one)),X_292)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3056,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X_292) = join(complement(one),X_292) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_292),join(converse(complement(one)),X_292)) )],[refute_0_3054,refute_0_3055]) ).
cnf(refute_0_3057,plain,
join(converse(complement(one)),X_292) = join(complement(one),X_292),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_3056]) ).
cnf(refute_0_3058,plain,
composition(join(converse(complement(one)),X_292),X_291) = composition(join(converse(complement(one)),X_292),X_291),
introduced(tautology,[refl,[$fot(composition(join(converse(complement(one)),X_292),X_291))]]) ).
cnf(refute_0_3059,plain,
( composition(join(converse(complement(one)),X_292),X_291) != composition(join(converse(complement(one)),X_292),X_291)
| join(converse(complement(one)),X_292) != join(complement(one),X_292)
| composition(join(converse(complement(one)),X_292),X_291) = composition(join(complement(one),X_292),X_291) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(one)),X_292),X_291),composition(join(converse(complement(one)),X_292),X_291)) ),[1,0],$fot(join(complement(one),X_292))]]) ).
cnf(refute_0_3060,plain,
( join(converse(complement(one)),X_292) != join(complement(one),X_292)
| composition(join(converse(complement(one)),X_292),X_291) = composition(join(complement(one),X_292),X_291) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(one)),X_292),X_291),composition(join(converse(complement(one)),X_292),X_291)) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
composition(join(converse(complement(one)),X_292),X_291) = composition(join(complement(one),X_292),X_291),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_292),join(complement(one),X_292)) )],[refute_0_3057,refute_0_3060]) ).
cnf(refute_0_3062,plain,
converse(composition(join(converse(complement(one)),X_292),X_291)) = converse(composition(join(converse(complement(one)),X_292),X_291)),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(complement(one)),X_292),X_291)))]]) ).
cnf(refute_0_3063,plain,
( composition(join(converse(complement(one)),X_292),X_291) != composition(join(complement(one),X_292),X_291)
| converse(composition(join(converse(complement(one)),X_292),X_291)) != converse(composition(join(converse(complement(one)),X_292),X_291))
| converse(composition(join(converse(complement(one)),X_292),X_291)) = converse(composition(join(complement(one),X_292),X_291)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(complement(one)),X_292),X_291)),converse(composition(join(converse(complement(one)),X_292),X_291))) ),[1,0],$fot(composition(join(complement(one),X_292),X_291))]]) ).
cnf(refute_0_3064,plain,
( composition(join(converse(complement(one)),X_292),X_291) != composition(join(complement(one),X_292),X_291)
| converse(composition(join(converse(complement(one)),X_292),X_291)) = converse(composition(join(complement(one),X_292),X_291)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(one)),X_292),X_291)),converse(composition(join(converse(complement(one)),X_292),X_291))) )],[refute_0_3062,refute_0_3063]) ).
cnf(refute_0_3065,plain,
converse(composition(join(converse(complement(one)),X_292),X_291)) = converse(composition(join(complement(one),X_292),X_291)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(one)),X_292),X_291),composition(join(complement(one),X_292),X_291)) )],[refute_0_3061,refute_0_3064]) ).
cnf(refute_0_3066,plain,
composition(converse(X_291),join(complement(one),converse(X_292))) = converse(composition(join(converse(complement(one)),X_292),X_291)),
inference(subst,[],[refute_0_2937:[bind(X0,$fot(complement(one))),bind(X_19,$fot(X_291)),bind(X_5,$fot(X_292))]]) ).
cnf(refute_0_3067,plain,
converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(X_287,converse(complement(one)))),
inference(subst,[],[refute_0_2935:[bind(X0,$fot(X_287)),bind(X_19,$fot(X_288)),bind(X_5,$fot(complement(one)))]]) ).
cnf(refute_0_3068,plain,
( converse(complement(one)) != complement(one)
| converse(composition(join(converse(X_287),complement(one)),X_288)) != composition(converse(X_288),join(X_287,converse(complement(one))))
| converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(X_287,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_287),complement(one)),X_288)),composition(converse(X_288),join(X_287,converse(complement(one))))) ),[1,1,1],$fot(complement(one))]]) ).
cnf(refute_0_3069,plain,
( converse(composition(join(converse(X_287),complement(one)),X_288)) != composition(converse(X_288),join(X_287,converse(complement(one))))
| converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(X_287,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_3068]) ).
cnf(refute_0_3070,plain,
converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(X_287,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),complement(one)),X_288)),composition(converse(X_288),join(X_287,converse(complement(one))))) )],[refute_0_3067,refute_0_3069]) ).
cnf(refute_0_3071,plain,
converse(composition(converse(join(complement(one),X_287)),X_288)) = composition(converse(X_288),join(complement(one),X_287)),
inference(subst,[],[refute_0_223:[bind(X0,$fot(join(complement(one),X_287))),bind(X_19,$fot(X_288))]]) ).
cnf(refute_0_3072,plain,
converse(join(converse(complement(one)),X_5)) = join(complement(one),converse(X_5)),
inference(subst,[],[refute_0_537:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_3073,plain,
( converse(complement(one)) != complement(one)
| converse(join(converse(complement(one)),X_5)) != join(complement(one),converse(X_5))
| converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),X_5)),join(complement(one),converse(X_5))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_3074,plain,
( converse(join(converse(complement(one)),X_5)) != join(complement(one),converse(X_5))
| converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_3073]) ).
cnf(refute_0_3075,plain,
converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),X_5)),join(complement(one),converse(X_5))) )],[refute_0_3072,refute_0_3074]) ).
cnf(refute_0_3076,plain,
( converse(join(complement(one),X_5)) != join(complement(one),converse(X_5))
| join(complement(one),converse(X_5)) = converse(join(complement(one),X_5)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(complement(one),X_5)))),bind(Y,$fot(join(complement(one),converse(X_5))))]]) ).
cnf(refute_0_3077,plain,
join(complement(one),converse(X_5)) = converse(join(complement(one),X_5)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),X_5)),join(complement(one),converse(X_5))) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
join(complement(one),converse(X_287)) = converse(join(complement(one),X_287)),
inference(subst,[],[refute_0_3077:[bind(X_5,$fot(X_287))]]) ).
cnf(refute_0_3079,plain,
composition(join(complement(one),converse(X_287)),X_288) = composition(join(complement(one),converse(X_287)),X_288),
introduced(tautology,[refl,[$fot(composition(join(complement(one),converse(X_287)),X_288))]]) ).
cnf(refute_0_3080,plain,
( composition(join(complement(one),converse(X_287)),X_288) != composition(join(complement(one),converse(X_287)),X_288)
| join(complement(one),converse(X_287)) != converse(join(complement(one),X_287))
| composition(join(complement(one),converse(X_287)),X_288) = composition(converse(join(complement(one),X_287)),X_288) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),converse(X_287)),X_288),composition(join(complement(one),converse(X_287)),X_288)) ),[1,0],$fot(converse(join(complement(one),X_287)))]]) ).
cnf(refute_0_3081,plain,
( join(complement(one),converse(X_287)) != converse(join(complement(one),X_287))
| composition(join(complement(one),converse(X_287)),X_288) = composition(converse(join(complement(one),X_287)),X_288) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),converse(X_287)),X_288),composition(join(complement(one),converse(X_287)),X_288)) )],[refute_0_3079,refute_0_3080]) ).
cnf(refute_0_3082,plain,
composition(join(complement(one),converse(X_287)),X_288) = composition(converse(join(complement(one),X_287)),X_288),
inference(resolve,[$cnf( $equal(join(complement(one),converse(X_287)),converse(join(complement(one),X_287))) )],[refute_0_3078,refute_0_3081]) ).
cnf(refute_0_3083,plain,
converse(composition(join(complement(one),converse(X_287)),X_288)) = converse(composition(join(complement(one),converse(X_287)),X_288)),
introduced(tautology,[refl,[$fot(converse(composition(join(complement(one),converse(X_287)),X_288)))]]) ).
cnf(refute_0_3084,plain,
( composition(join(complement(one),converse(X_287)),X_288) != composition(converse(join(complement(one),X_287)),X_288)
| converse(composition(join(complement(one),converse(X_287)),X_288)) != converse(composition(join(complement(one),converse(X_287)),X_288))
| converse(composition(join(complement(one),converse(X_287)),X_288)) = converse(composition(converse(join(complement(one),X_287)),X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(complement(one),converse(X_287)),X_288)),converse(composition(join(complement(one),converse(X_287)),X_288))) ),[1,0],$fot(composition(converse(join(complement(one),X_287)),X_288))]]) ).
cnf(refute_0_3085,plain,
( composition(join(complement(one),converse(X_287)),X_288) != composition(converse(join(complement(one),X_287)),X_288)
| converse(composition(join(complement(one),converse(X_287)),X_288)) = converse(composition(converse(join(complement(one),X_287)),X_288)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),converse(X_287)),X_288)),converse(composition(join(complement(one),converse(X_287)),X_288))) )],[refute_0_3083,refute_0_3084]) ).
cnf(refute_0_3086,plain,
converse(composition(join(complement(one),converse(X_287)),X_288)) = converse(composition(converse(join(complement(one),X_287)),X_288)),
inference(resolve,[$cnf( $equal(composition(join(complement(one),converse(X_287)),X_288),composition(converse(join(complement(one),X_287)),X_288)) )],[refute_0_3082,refute_0_3085]) ).
cnf(refute_0_3087,plain,
( converse(composition(converse(join(complement(one),X_287)),X_288)) != composition(converse(X_288),join(complement(one),X_287))
| converse(composition(join(complement(one),converse(X_287)),X_288)) != converse(composition(converse(join(complement(one),X_287)),X_288))
| converse(composition(join(complement(one),converse(X_287)),X_288)) = composition(converse(X_288),join(complement(one),X_287)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(composition(join(complement(one),converse(X_287)),X_288)))),bind(Y,$fot(converse(composition(converse(join(complement(one),X_287)),X_288)))),bind(Z,$fot(composition(converse(X_288),join(complement(one),X_287))))]]) ).
cnf(refute_0_3088,plain,
( converse(composition(converse(join(complement(one),X_287)),X_288)) != composition(converse(X_288),join(complement(one),X_287))
| converse(composition(join(complement(one),converse(X_287)),X_288)) = composition(converse(X_288),join(complement(one),X_287)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),converse(X_287)),X_288)),converse(composition(converse(join(complement(one),X_287)),X_288))) )],[refute_0_3086,refute_0_3087]) ).
cnf(refute_0_3089,plain,
converse(composition(join(complement(one),converse(X_287)),X_288)) = composition(converse(X_288),join(complement(one),X_287)),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(complement(one),X_287)),X_288)),composition(converse(X_288),join(complement(one),X_287))) )],[refute_0_3071,refute_0_3088]) ).
cnf(refute_0_3090,plain,
converse(composition(join(converse(X_287),complement(one)),X_288)) = converse(composition(join(complement(one),converse(X_287)),X_288)),
inference(subst,[],[refute_0_2968:[bind(X_289,$fot(complement(one)))]]) ).
cnf(refute_0_3091,plain,
( converse(composition(join(complement(one),converse(X_287)),X_288)) != composition(converse(X_288),join(complement(one),X_287))
| converse(composition(join(converse(X_287),complement(one)),X_288)) != converse(composition(join(complement(one),converse(X_287)),X_288))
| converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(complement(one),X_287)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(composition(join(converse(X_287),complement(one)),X_288)))),bind(Y,$fot(converse(composition(join(complement(one),converse(X_287)),X_288)))),bind(Z,$fot(composition(converse(X_288),join(complement(one),X_287))))]]) ).
cnf(refute_0_3092,plain,
( converse(composition(join(complement(one),converse(X_287)),X_288)) != composition(converse(X_288),join(complement(one),X_287))
| converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(complement(one),X_287)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),complement(one)),X_288)),converse(composition(join(complement(one),converse(X_287)),X_288))) )],[refute_0_3090,refute_0_3091]) ).
cnf(refute_0_3093,plain,
converse(composition(join(converse(X_287),complement(one)),X_288)) = composition(converse(X_288),join(complement(one),X_287)),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),converse(X_287)),X_288)),composition(converse(X_288),join(complement(one),X_287))) )],[refute_0_3089,refute_0_3092]) ).
cnf(refute_0_3094,plain,
( converse(composition(join(converse(X_287),complement(one)),X_288)) != composition(converse(X_288),join(X_287,complement(one)))
| converse(composition(join(converse(X_287),complement(one)),X_288)) != composition(converse(X_288),join(complement(one),X_287))
| composition(converse(X_288),join(complement(one),X_287)) = composition(converse(X_288),join(X_287,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_287),complement(one)),X_288)),composition(converse(X_288),join(X_287,complement(one)))) ),[0],$fot(composition(converse(X_288),join(complement(one),X_287)))]]) ).
cnf(refute_0_3095,plain,
( converse(composition(join(converse(X_287),complement(one)),X_288)) != composition(converse(X_288),join(X_287,complement(one)))
| composition(converse(X_288),join(complement(one),X_287)) = composition(converse(X_288),join(X_287,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),complement(one)),X_288)),composition(converse(X_288),join(complement(one),X_287))) )],[refute_0_3093,refute_0_3094]) ).
cnf(refute_0_3096,plain,
composition(converse(X_288),join(complement(one),X_287)) = composition(converse(X_288),join(X_287,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_287),complement(one)),X_288)),composition(converse(X_288),join(X_287,complement(one)))) )],[refute_0_3070,refute_0_3095]) ).
cnf(refute_0_3097,plain,
( composition(converse(X_288),join(complement(one),X_287)) != composition(converse(X_288),join(X_287,complement(one)))
| composition(converse(X_288),join(X_287,complement(one))) = composition(converse(X_288),join(complement(one),X_287)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(X_288),join(complement(one),X_287)))),bind(Y,$fot(composition(converse(X_288),join(X_287,complement(one)))))]]) ).
cnf(refute_0_3098,plain,
composition(converse(X_288),join(X_287,complement(one))) = composition(converse(X_288),join(complement(one),X_287)),
inference(resolve,[$cnf( $equal(composition(converse(X_288),join(complement(one),X_287)),composition(converse(X_288),join(X_287,complement(one)))) )],[refute_0_3096,refute_0_3097]) ).
cnf(refute_0_3099,plain,
composition(converse(X_291),join(converse(X_292),complement(one))) = composition(converse(X_291),join(complement(one),converse(X_292))),
inference(subst,[],[refute_0_3098:[bind(X_287,$fot(converse(X_292))),bind(X_288,$fot(X_291))]]) ).
cnf(refute_0_3100,plain,
( composition(converse(X_291),join(complement(one),converse(X_292))) != converse(composition(join(converse(complement(one)),X_292),X_291))
| composition(converse(X_291),join(converse(X_292),complement(one))) != composition(converse(X_291),join(complement(one),converse(X_292)))
| composition(converse(X_291),join(converse(X_292),complement(one))) = converse(composition(join(converse(complement(one)),X_292),X_291)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(X_291),join(converse(X_292),complement(one))))),bind(Y,$fot(composition(converse(X_291),join(complement(one),converse(X_292))))),bind(Z,$fot(converse(composition(join(converse(complement(one)),X_292),X_291))))]]) ).
cnf(refute_0_3101,plain,
( composition(converse(X_291),join(complement(one),converse(X_292))) != converse(composition(join(converse(complement(one)),X_292),X_291))
| composition(converse(X_291),join(converse(X_292),complement(one))) = converse(composition(join(converse(complement(one)),X_292),X_291)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(converse(X_292),complement(one))),composition(converse(X_291),join(complement(one),converse(X_292)))) )],[refute_0_3099,refute_0_3100]) ).
cnf(refute_0_3102,plain,
composition(converse(X_291),join(converse(X_292),complement(one))) = converse(composition(join(converse(complement(one)),X_292),X_291)),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(complement(one),converse(X_292))),converse(composition(join(converse(complement(one)),X_292),X_291))) )],[refute_0_3066,refute_0_3101]) ).
cnf(refute_0_3103,plain,
( composition(converse(X_291),join(converse(X_292),complement(one))) != converse(composition(join(converse(complement(one)),X_292),X_291))
| converse(composition(join(converse(complement(one)),X_292),X_291)) != converse(composition(join(complement(one),X_292),X_291))
| composition(converse(X_291),join(converse(X_292),complement(one))) = converse(composition(join(complement(one),X_292),X_291)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(X_291),join(converse(X_292),complement(one))))),bind(Y,$fot(converse(composition(join(converse(complement(one)),X_292),X_291)))),bind(Z,$fot(converse(composition(join(complement(one),X_292),X_291))))]]) ).
cnf(refute_0_3104,plain,
( converse(composition(join(converse(complement(one)),X_292),X_291)) != converse(composition(join(complement(one),X_292),X_291))
| composition(converse(X_291),join(converse(X_292),complement(one))) = converse(composition(join(complement(one),X_292),X_291)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(converse(X_292),complement(one))),converse(composition(join(converse(complement(one)),X_292),X_291))) )],[refute_0_3102,refute_0_3103]) ).
cnf(refute_0_3105,plain,
composition(converse(X_291),join(converse(X_292),complement(one))) = converse(composition(join(complement(one),X_292),X_291)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(one)),X_292),X_291)),converse(composition(join(complement(one),X_292),X_291))) )],[refute_0_3065,refute_0_3104]) ).
cnf(refute_0_3106,plain,
( composition(converse(X_291),join(converse(X_292),complement(one))) != converse(composition(join(complement(one),X_292),X_291))
| converse(composition(join(X_292,complement(one)),X_291)) != composition(converse(X_291),join(converse(X_292),complement(one)))
| converse(composition(join(X_292,complement(one)),X_291)) = converse(composition(join(complement(one),X_292),X_291)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_292,complement(one)),X_291)),composition(converse(X_291),join(converse(X_292),complement(one)))) ),[1],$fot(converse(composition(join(complement(one),X_292),X_291)))]]) ).
cnf(refute_0_3107,plain,
( converse(composition(join(X_292,complement(one)),X_291)) != composition(converse(X_291),join(converse(X_292),complement(one)))
| converse(composition(join(X_292,complement(one)),X_291)) = converse(composition(join(complement(one),X_292),X_291)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_291),join(converse(X_292),complement(one))),converse(composition(join(complement(one),X_292),X_291))) )],[refute_0_3105,refute_0_3106]) ).
cnf(refute_0_3108,plain,
converse(composition(join(X_292,complement(one)),X_291)) = converse(composition(join(complement(one),X_292),X_291)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_292,complement(one)),X_291)),composition(converse(X_291),join(converse(X_292),complement(one)))) )],[refute_0_3053,refute_0_3107]) ).
cnf(refute_0_3109,plain,
converse(composition(join(X_507,complement(one)),X_19)) = converse(composition(join(complement(one),X_507),X_19)),
inference(subst,[],[refute_0_3108:[bind(X_291,$fot(X_19)),bind(X_292,$fot(X_507))]]) ).
cnf(refute_0_3110,plain,
( converse(composition(join(X_507,complement(one)),X_19)) != converse(composition(join(complement(one),X_507),X_19))
| join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(X_507,complement(one)),X_19))))) != complement(converse(join(X_507,complement(one))))
| join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) = complement(converse(join(X_507,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(X_507,complement(one)),X_19))))),complement(converse(join(X_507,complement(one))))) ),[0,1,1,0],$fot(converse(composition(join(complement(one),X_507),X_19)))]]) ).
cnf(refute_0_3111,plain,
( join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(X_507,complement(one)),X_19))))) != complement(converse(join(X_507,complement(one))))
| join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) = complement(converse(join(X_507,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_507,complement(one)),X_19)),converse(composition(join(complement(one),X_507),X_19))) )],[refute_0_3109,refute_0_3110]) ).
cnf(refute_0_3112,plain,
join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) = complement(converse(join(X_507,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(X_507,complement(one)),X_19))))),complement(converse(join(X_507,complement(one))))) )],[refute_0_3049,refute_0_3111]) ).
cnf(refute_0_3113,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X1,X0)))
| join(complement(converse(join(X0,X1))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X1,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X1,X0)))) ),[0,0,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_3114,plain,
( join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) != complement(converse(join(X1,X0)))
| join(complement(converse(join(X0,X1))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X1,X0))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_2711,refute_0_3113]) ).
cnf(refute_0_3115,plain,
join(complement(converse(join(X0,X1))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))) = complement(converse(join(X1,X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),composition(X_101,complement(converse(composition(join(X1,X0),X_101))))),complement(converse(join(X1,X0)))) )],[refute_0_2709,refute_0_3114]) ).
cnf(refute_0_3116,plain,
join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) = complement(converse(join(complement(one),X_507))),
inference(subst,[],[refute_0_3115:[bind(X0,$fot(X_507)),bind(X1,$fot(complement(one))),bind(X_101,$fot(X_19))]]) ).
cnf(refute_0_3117,plain,
( join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) != complement(converse(join(X_507,complement(one))))
| join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) != complement(converse(join(complement(one),X_507)))
| complement(converse(join(complement(one),X_507))) = complement(converse(join(X_507,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))),complement(converse(join(X_507,complement(one))))) ),[0],$fot(complement(converse(join(complement(one),X_507))))]]) ).
cnf(refute_0_3118,plain,
( join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) != complement(converse(join(X_507,complement(one))))
| complement(converse(join(complement(one),X_507))) = complement(converse(join(X_507,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))),complement(converse(join(complement(one),X_507)))) )],[refute_0_3116,refute_0_3117]) ).
cnf(refute_0_3119,plain,
meet(complement(X_507),one) = meet(one,complement(X_507)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(X_507)))]]) ).
cnf(refute_0_3120,plain,
converse(meet(complement(X_507),one)) = converse(meet(complement(X_507),one)),
introduced(tautology,[refl,[$fot(converse(meet(complement(X_507),one)))]]) ).
cnf(refute_0_3121,plain,
( converse(meet(complement(X_507),one)) != converse(meet(complement(X_507),one))
| meet(complement(X_507),one) != meet(one,complement(X_507))
| converse(meet(complement(X_507),one)) = converse(meet(one,complement(X_507))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(X_507),one)),converse(meet(complement(X_507),one))) ),[1,0],$fot(meet(one,complement(X_507)))]]) ).
cnf(refute_0_3122,plain,
( meet(complement(X_507),one) != meet(one,complement(X_507))
| converse(meet(complement(X_507),one)) = converse(meet(one,complement(X_507))) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(X_507),one)),converse(meet(complement(X_507),one))) )],[refute_0_3120,refute_0_3121]) ).
cnf(refute_0_3123,plain,
converse(meet(complement(X_507),one)) = converse(meet(one,complement(X_507))),
inference(resolve,[$cnf( $equal(meet(complement(X_507),one),meet(one,complement(X_507))) )],[refute_0_3119,refute_0_3122]) ).
cnf(refute_0_3124,plain,
complement(converse(join(X_466,complement(X_465)))) = converse(complement(join(X_466,complement(X_465)))),
inference(subst,[],[refute_0_2063:[bind(X0,$fot(join(X_466,complement(X_465))))]]) ).
cnf(refute_0_3125,plain,
( meet(complement(X_466),X_465) != complement(join(X_466,complement(X_465)))
| complement(join(X_466,complement(X_465))) = meet(complement(X_466),X_465) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_466),X_465))),bind(Y,$fot(complement(join(X_466,complement(X_465)))))]]) ).
cnf(refute_0_3126,plain,
complement(join(X_466,complement(X_465))) = meet(complement(X_466),X_465),
inference(resolve,[$cnf( $equal(meet(complement(X_466),X_465),complement(join(X_466,complement(X_465)))) )],[refute_0_2766,refute_0_3125]) ).
cnf(refute_0_3127,plain,
( complement(converse(join(X_466,complement(X_465)))) != converse(complement(join(X_466,complement(X_465))))
| complement(join(X_466,complement(X_465))) != meet(complement(X_466),X_465)
| complement(converse(join(X_466,complement(X_465)))) = converse(meet(complement(X_466),X_465)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(X_466,complement(X_465)))),converse(complement(join(X_466,complement(X_465))))) ),[1,0],$fot(meet(complement(X_466),X_465))]]) ).
cnf(refute_0_3128,plain,
( complement(converse(join(X_466,complement(X_465)))) != converse(complement(join(X_466,complement(X_465))))
| complement(converse(join(X_466,complement(X_465)))) = converse(meet(complement(X_466),X_465)) ),
inference(resolve,[$cnf( $equal(complement(join(X_466,complement(X_465))),meet(complement(X_466),X_465)) )],[refute_0_3126,refute_0_3127]) ).
cnf(refute_0_3129,plain,
complement(converse(join(X_466,complement(X_465)))) = converse(meet(complement(X_466),X_465)),
inference(resolve,[$cnf( $equal(complement(converse(join(X_466,complement(X_465)))),converse(complement(join(X_466,complement(X_465))))) )],[refute_0_3124,refute_0_3128]) ).
cnf(refute_0_3130,plain,
complement(converse(join(X_507,complement(one)))) = converse(meet(complement(X_507),one)),
inference(subst,[],[refute_0_3129:[bind(X_465,$fot(one)),bind(X_466,$fot(X_507))]]) ).
cnf(refute_0_3131,plain,
( complement(converse(join(X_507,complement(one)))) != converse(meet(complement(X_507),one))
| converse(meet(complement(X_507),one)) != converse(meet(one,complement(X_507)))
| complement(converse(join(X_507,complement(one)))) = converse(meet(one,complement(X_507))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(join(X_507,complement(one)))))),bind(Y,$fot(converse(meet(complement(X_507),one)))),bind(Z,$fot(converse(meet(one,complement(X_507)))))]]) ).
cnf(refute_0_3132,plain,
( converse(meet(complement(X_507),one)) != converse(meet(one,complement(X_507)))
| complement(converse(join(X_507,complement(one)))) = converse(meet(one,complement(X_507))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_507,complement(one)))),converse(meet(complement(X_507),one))) )],[refute_0_3130,refute_0_3131]) ).
cnf(refute_0_3133,plain,
complement(converse(join(X_507,complement(one)))) = converse(meet(one,complement(X_507))),
inference(resolve,[$cnf( $equal(converse(meet(complement(X_507),one)),converse(meet(one,complement(X_507)))) )],[refute_0_3123,refute_0_3132]) ).
cnf(refute_0_3134,plain,
( complement(converse(join(X_507,complement(one)))) != converse(meet(one,complement(X_507)))
| complement(converse(join(complement(one),X_507))) != complement(converse(join(X_507,complement(one))))
| complement(converse(join(complement(one),X_507))) = converse(meet(one,complement(X_507))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),X_507))),complement(converse(join(X_507,complement(one))))) ),[1],$fot(converse(meet(one,complement(X_507))))]]) ).
cnf(refute_0_3135,plain,
( complement(converse(join(complement(one),X_507))) != complement(converse(join(X_507,complement(one))))
| complement(converse(join(complement(one),X_507))) = converse(meet(one,complement(X_507))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_507,complement(one)))),converse(meet(one,complement(X_507)))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
( join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))) != complement(converse(join(X_507,complement(one))))
| complement(converse(join(complement(one),X_507))) = converse(meet(one,complement(X_507))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),X_507))),complement(converse(join(X_507,complement(one))))) )],[refute_0_3118,refute_0_3135]) ).
cnf(refute_0_3137,plain,
complement(converse(join(complement(one),X_507))) = converse(meet(one,complement(X_507))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_507,complement(one)))),composition(X_19,complement(converse(composition(join(complement(one),X_507),X_19))))),complement(converse(join(X_507,complement(one))))) )],[refute_0_3112,refute_0_3136]) ).
cnf(refute_0_3138,plain,
complement(converse(join(complement(one),converse(join(X0,X1))))) = converse(meet(one,complement(converse(join(X0,X1))))),
inference(subst,[],[refute_0_3137:[bind(X_507,$fot(converse(join(X0,X1))))]]) ).
cnf(refute_0_3139,plain,
( complement(converse(join(X0,X1))) != complement(converse(join(X1,X0)))
| complement(converse(join(complement(one),converse(join(X0,X1))))) != converse(meet(one,complement(converse(join(X0,X1)))))
| complement(converse(join(complement(one),converse(join(X0,X1))))) = converse(meet(one,complement(converse(join(X1,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(join(X0,X1))))),converse(meet(one,complement(converse(join(X0,X1)))))) ),[1,0,1],$fot(complement(converse(join(X1,X0))))]]) ).
cnf(refute_0_3140,plain,
( complement(converse(join(complement(one),converse(join(X0,X1))))) != converse(meet(one,complement(converse(join(X0,X1)))))
| complement(converse(join(complement(one),converse(join(X0,X1))))) = converse(meet(one,complement(converse(join(X1,X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X0,X1))),complement(converse(join(X1,X0)))) )],[refute_0_2719,refute_0_3139]) ).
cnf(refute_0_3141,plain,
complement(converse(join(complement(one),converse(join(X0,X1))))) = converse(meet(one,complement(converse(join(X1,X0))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(join(X0,X1))))),converse(meet(one,complement(converse(join(X0,X1)))))) )],[refute_0_3138,refute_0_3140]) ).
cnf(refute_0_3142,plain,
complement(converse(join(complement(one),converse(X0)))) = converse(meet(one,complement(converse(X0)))),
inference(subst,[],[refute_0_3137:[bind(X_507,$fot(converse(X0)))]]) ).
cnf(refute_0_3143,plain,
converse(join(complement(one),converse(X0))) = join(converse(complement(one)),X0),
inference(subst,[],[refute_0_550:[bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_3144,plain,
( complement(converse(join(complement(one),converse(X0)))) != converse(meet(one,complement(converse(X0))))
| converse(join(complement(one),converse(X0))) != join(converse(complement(one)),X0)
| complement(join(converse(complement(one)),X0)) = converse(meet(one,complement(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(X0)))),converse(meet(one,complement(converse(X0))))) ),[0,0],$fot(join(converse(complement(one)),X0))]]) ).
cnf(refute_0_3145,plain,
( complement(converse(join(complement(one),converse(X0)))) != converse(meet(one,complement(converse(X0))))
| complement(join(converse(complement(one)),X0)) = converse(meet(one,complement(converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(X0))),join(converse(complement(one)),X0)) )],[refute_0_3143,refute_0_3144]) ).
cnf(refute_0_3146,plain,
complement(join(converse(complement(one)),X0)) = converse(meet(one,complement(converse(X0)))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(X0)))),converse(meet(one,complement(converse(X0))))) )],[refute_0_3142,refute_0_3145]) ).
cnf(refute_0_3147,plain,
meet(complement(X0),one) = meet(one,complement(X0)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(X0)))]]) ).
cnf(refute_0_3148,plain,
complement(join(complement(one),X0)) = meet(complement(X0),one),
inference(subst,[],[refute_0_2774:[bind(X_465,$fot(one)),bind(X_466,$fot(X0))]]) ).
cnf(refute_0_3149,plain,
( complement(join(complement(one),X0)) != meet(complement(X0),one)
| meet(complement(X0),one) != meet(one,complement(X0))
| complement(join(complement(one),X0)) = meet(one,complement(X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(complement(one),X0)))),bind(Y,$fot(meet(complement(X0),one))),bind(Z,$fot(meet(one,complement(X0))))]]) ).
cnf(refute_0_3150,plain,
( meet(complement(X0),one) != meet(one,complement(X0))
| complement(join(complement(one),X0)) = meet(one,complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),X0)),meet(complement(X0),one)) )],[refute_0_3148,refute_0_3149]) ).
cnf(refute_0_3151,plain,
complement(join(complement(one),X0)) = meet(one,complement(X0)),
inference(resolve,[$cnf( $equal(meet(complement(X0),one),meet(one,complement(X0))) )],[refute_0_3147,refute_0_3150]) ).
cnf(refute_0_3152,plain,
join(converse(complement(one)),X0) = join(converse(complement(one)),X0),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),X0))]]) ).
cnf(refute_0_3153,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X0) != join(converse(complement(one)),X0)
| join(converse(complement(one)),X0) = join(complement(one),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),X0),join(converse(complement(one)),X0)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3154,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X0) = join(complement(one),X0) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X0),join(converse(complement(one)),X0)) )],[refute_0_3152,refute_0_3153]) ).
cnf(refute_0_3155,plain,
join(converse(complement(one)),X0) = join(complement(one),X0),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_3154]) ).
cnf(refute_0_3156,plain,
complement(join(converse(complement(one)),X0)) = complement(join(converse(complement(one)),X0)),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(one)),X0)))]]) ).
cnf(refute_0_3157,plain,
( complement(join(converse(complement(one)),X0)) != complement(join(converse(complement(one)),X0))
| join(converse(complement(one)),X0) != join(complement(one),X0)
| complement(join(converse(complement(one)),X0)) = complement(join(complement(one),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),X0)),complement(join(converse(complement(one)),X0))) ),[1,0],$fot(join(complement(one),X0))]]) ).
cnf(refute_0_3158,plain,
( join(converse(complement(one)),X0) != join(complement(one),X0)
| complement(join(converse(complement(one)),X0)) = complement(join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X0)),complement(join(converse(complement(one)),X0))) )],[refute_0_3156,refute_0_3157]) ).
cnf(refute_0_3159,plain,
complement(join(converse(complement(one)),X0)) = complement(join(complement(one),X0)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X0),join(complement(one),X0)) )],[refute_0_3155,refute_0_3158]) ).
cnf(refute_0_3160,plain,
( complement(join(complement(one),X0)) != meet(one,complement(X0))
| complement(join(converse(complement(one)),X0)) != complement(join(complement(one),X0))
| complement(join(converse(complement(one)),X0)) = meet(one,complement(X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(converse(complement(one)),X0)))),bind(Y,$fot(complement(join(complement(one),X0)))),bind(Z,$fot(meet(one,complement(X0))))]]) ).
cnf(refute_0_3161,plain,
( complement(join(complement(one),X0)) != meet(one,complement(X0))
| complement(join(converse(complement(one)),X0)) = meet(one,complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X0)),complement(join(complement(one),X0))) )],[refute_0_3159,refute_0_3160]) ).
cnf(refute_0_3162,plain,
complement(join(converse(complement(one)),X0)) = meet(one,complement(X0)),
inference(resolve,[$cnf( $equal(complement(join(complement(one),X0)),meet(one,complement(X0))) )],[refute_0_3151,refute_0_3161]) ).
cnf(refute_0_3163,plain,
( complement(join(converse(complement(one)),X0)) != converse(meet(one,complement(converse(X0))))
| complement(join(converse(complement(one)),X0)) != meet(one,complement(X0))
| meet(one,complement(X0)) = converse(meet(one,complement(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),X0)),converse(meet(one,complement(converse(X0))))) ),[0],$fot(meet(one,complement(X0)))]]) ).
cnf(refute_0_3164,plain,
( complement(join(converse(complement(one)),X0)) != converse(meet(one,complement(converse(X0))))
| meet(one,complement(X0)) = converse(meet(one,complement(converse(X0)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X0)),meet(one,complement(X0))) )],[refute_0_3162,refute_0_3163]) ).
cnf(refute_0_3165,plain,
meet(one,complement(X0)) = converse(meet(one,complement(converse(X0)))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X0)),converse(meet(one,complement(converse(X0))))) )],[refute_0_3146,refute_0_3164]) ).
cnf(refute_0_3166,plain,
( meet(one,complement(X0)) != converse(meet(one,complement(converse(X0))))
| converse(meet(one,complement(converse(X0)))) = meet(one,complement(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(one,complement(X0)))),bind(Y,$fot(converse(meet(one,complement(converse(X0))))))]]) ).
cnf(refute_0_3167,plain,
converse(meet(one,complement(converse(X0)))) = meet(one,complement(X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(X0)),converse(meet(one,complement(converse(X0))))) )],[refute_0_3165,refute_0_3166]) ).
cnf(refute_0_3168,plain,
converse(meet(one,complement(converse(join(X0,X1))))) = meet(one,complement(join(X0,X1))),
inference(subst,[],[refute_0_3167:[bind(X0,$fot(join(X0,X1)))]]) ).
cnf(refute_0_3169,plain,
( complement(converse(join(complement(one),converse(join(X0,X1))))) != converse(meet(one,complement(converse(join(X0,X1)))))
| converse(meet(one,complement(converse(join(X0,X1))))) != meet(one,complement(join(X0,X1)))
| complement(converse(join(complement(one),converse(join(X0,X1))))) = meet(one,complement(join(X0,X1))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(join(complement(one),converse(join(X0,X1))))))),bind(Y,$fot(converse(meet(one,complement(converse(join(X0,X1))))))),bind(Z,$fot(meet(one,complement(join(X0,X1)))))]]) ).
cnf(refute_0_3170,plain,
( converse(meet(one,complement(converse(join(X0,X1))))) != meet(one,complement(join(X0,X1)))
| complement(converse(join(complement(one),converse(join(X0,X1))))) = meet(one,complement(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(join(X0,X1))))),converse(meet(one,complement(converse(join(X0,X1)))))) )],[refute_0_3138,refute_0_3169]) ).
cnf(refute_0_3171,plain,
complement(converse(join(complement(one),converse(join(X0,X1))))) = meet(one,complement(join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(join(X0,X1))))),meet(one,complement(join(X0,X1)))) )],[refute_0_3168,refute_0_3170]) ).
cnf(refute_0_3172,plain,
( complement(converse(join(complement(one),converse(join(X0,X1))))) != converse(meet(one,complement(converse(join(X1,X0)))))
| complement(converse(join(complement(one),converse(join(X0,X1))))) != meet(one,complement(join(X0,X1)))
| meet(one,complement(join(X0,X1))) = converse(meet(one,complement(converse(join(X1,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(join(X0,X1))))),converse(meet(one,complement(converse(join(X1,X0)))))) ),[0],$fot(meet(one,complement(join(X0,X1))))]]) ).
cnf(refute_0_3173,plain,
( complement(converse(join(complement(one),converse(join(X0,X1))))) != converse(meet(one,complement(converse(join(X1,X0)))))
| meet(one,complement(join(X0,X1))) = converse(meet(one,complement(converse(join(X1,X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(join(X0,X1))))),meet(one,complement(join(X0,X1)))) )],[refute_0_3171,refute_0_3172]) ).
cnf(refute_0_3174,plain,
converse(meet(one,complement(converse(join(X1,X0))))) = meet(one,complement(join(X1,X0))),
inference(subst,[],[refute_0_3167:[bind(X0,$fot(join(X1,X0)))]]) ).
cnf(refute_0_3175,plain,
( converse(meet(one,complement(converse(join(X1,X0))))) != meet(one,complement(join(X1,X0)))
| meet(one,complement(join(X0,X1))) != converse(meet(one,complement(converse(join(X1,X0)))))
| meet(one,complement(join(X0,X1))) = meet(one,complement(join(X1,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(X0,X1))),converse(meet(one,complement(converse(join(X1,X0)))))) ),[1],$fot(meet(one,complement(join(X1,X0))))]]) ).
cnf(refute_0_3176,plain,
( meet(one,complement(join(X0,X1))) != converse(meet(one,complement(converse(join(X1,X0)))))
| meet(one,complement(join(X0,X1))) = meet(one,complement(join(X1,X0))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(join(X1,X0))))),meet(one,complement(join(X1,X0)))) )],[refute_0_3174,refute_0_3175]) ).
cnf(refute_0_3177,plain,
( complement(converse(join(complement(one),converse(join(X0,X1))))) != converse(meet(one,complement(converse(join(X1,X0)))))
| meet(one,complement(join(X0,X1))) = meet(one,complement(join(X1,X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X0,X1))),converse(meet(one,complement(converse(join(X1,X0)))))) )],[refute_0_3173,refute_0_3176]) ).
cnf(refute_0_3178,plain,
meet(one,complement(join(X0,X1))) = meet(one,complement(join(X1,X0))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(join(X0,X1))))),converse(meet(one,complement(converse(join(X1,X0)))))) )],[refute_0_3141,refute_0_3177]) ).
cnf(refute_0_3179,plain,
( meet(one,complement(join(X0,X1))) != meet(one,complement(join(X1,X0)))
| meet(one,complement(join(X1,X0))) = meet(one,complement(join(X0,X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(one,complement(join(X0,X1))))),bind(Y,$fot(meet(one,complement(join(X1,X0)))))]]) ).
cnf(refute_0_3180,plain,
meet(one,complement(join(X1,X0))) = meet(one,complement(join(X0,X1))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X0,X1))),meet(one,complement(join(X1,X0)))) )],[refute_0_3178,refute_0_3179]) ).
cnf(refute_0_3181,plain,
meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_3180:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_3182,plain,
meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(X_464,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3183,plain,
join(meet(X_38,X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))),
inference(subst,[],[refute_0_1636:[bind(X1,$fot(meet(X_38,X_37))),bind(X2,$fot(complement(join(complement(X_37),X_38))))]]) ).
cnf(refute_0_3184,plain,
( X_37 != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) = X_37 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))))]]) ).
cnf(refute_0_3185,plain,
join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) = X_37,
inference(resolve,[$cnf( $equal(X_37,join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) )],[refute_0_81,refute_0_3184]) ).
cnf(refute_0_3186,plain,
( join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) != X_37
| join(meet(X_38,X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(meet(X_38,X_37),X_37) = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_38,X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) ),[0,1],$fot(X_37)]]) ).
cnf(refute_0_3187,plain,
( join(meet(X_38,X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(meet(X_38,X_37),X_37) = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) ),
inference(resolve,[$cnf( $equal(join(meet(X_38,X_37),complement(join(complement(X_37),X_38))),X_37) )],[refute_0_3185,refute_0_3186]) ).
cnf(refute_0_3188,plain,
join(meet(X_38,X_37),X_37) = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))),
inference(resolve,[$cnf( $equal(join(meet(X_38,X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) )],[refute_0_3183,refute_0_3187]) ).
cnf(refute_0_3189,plain,
join(meet(X_38,X_37),X_37) = join(X_37,meet(X_38,X_37)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_37)),bind(X1,$fot(meet(X_38,X_37)))]]) ).
cnf(refute_0_3190,plain,
( join(meet(X_38,X_37),X_37) != join(X_37,meet(X_38,X_37))
| join(meet(X_38,X_37),X_37) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(X_37,meet(X_38,X_37)) = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_38,X_37),X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) ),[0],$fot(join(X_37,meet(X_38,X_37)))]]) ).
cnf(refute_0_3191,plain,
( join(meet(X_38,X_37),X_37) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(X_37,meet(X_38,X_37)) = join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) ),
inference(resolve,[$cnf( $equal(join(meet(X_38,X_37),X_37),join(X_37,meet(X_38,X_37))) )],[refute_0_3189,refute_0_3190]) ).
cnf(refute_0_3192,plain,
( join(X_37,meet(X_38,X_37)) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(meet(X_38,X_37),complement(join(complement(X_37),X_38))) != X_37
| join(X_37,meet(X_38,X_37)) = X_37 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_37,meet(X_38,X_37)),X_37) ),[0],$fot(join(meet(X_38,X_37),complement(join(complement(X_37),X_38))))]]) ).
cnf(refute_0_3193,plain,
( join(X_37,meet(X_38,X_37)) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(X_37,meet(X_38,X_37)) = X_37 ),
inference(resolve,[$cnf( $equal(join(meet(X_38,X_37),complement(join(complement(X_37),X_38))),X_37) )],[refute_0_3185,refute_0_3192]) ).
cnf(refute_0_3194,plain,
( join(meet(X_38,X_37),X_37) != join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))
| join(X_37,meet(X_38,X_37)) = X_37 ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_38,X_37)),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) )],[refute_0_3191,refute_0_3193]) ).
cnf(refute_0_3195,plain,
join(X_37,meet(X_38,X_37)) = X_37,
inference(resolve,[$cnf( $equal(join(meet(X_38,X_37),X_37),join(meet(X_38,X_37),complement(join(complement(X_37),X_38)))) )],[refute_0_3188,refute_0_3194]) ).
cnf(refute_0_3196,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_3197,plain,
meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)) = complement(join(meet(X_463,X_464),complement(join(complement(X_464),X_463)))),
inference(subst,[],[refute_0_1087:[bind(X1,$fot(join(complement(X_464),X_463))),bind(X_29,$fot(X_463)),bind(X_30,$fot(X_464))]]) ).
cnf(refute_0_3198,plain,
X_464 = join(meet(X_463,X_464),complement(join(complement(X_464),X_463))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(X_464)),bind(X_38,$fot(X_463))]]) ).
cnf(refute_0_3199,plain,
( X_464 != join(meet(X_463,X_464),complement(join(complement(X_464),X_463)))
| join(meet(X_463,X_464),complement(join(complement(X_464),X_463))) = X_464 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_464)),bind(Y,$fot(join(meet(X_463,X_464),complement(join(complement(X_464),X_463)))))]]) ).
cnf(refute_0_3200,plain,
join(meet(X_463,X_464),complement(join(complement(X_464),X_463))) = X_464,
inference(resolve,[$cnf( $equal(X_464,join(meet(X_463,X_464),complement(join(complement(X_464),X_463)))) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
( join(meet(X_463,X_464),complement(join(complement(X_464),X_463))) != X_464
| meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)) != complement(join(meet(X_463,X_464),complement(join(complement(X_464),X_463))))
| meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)) = complement(X_464) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)),complement(join(meet(X_463,X_464),complement(join(complement(X_464),X_463))))) ),[1,0],$fot(X_464)]]) ).
cnf(refute_0_3202,plain,
( meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)) != complement(join(meet(X_463,X_464),complement(join(complement(X_464),X_463))))
| meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)) = complement(X_464) ),
inference(resolve,[$cnf( $equal(join(meet(X_463,X_464),complement(join(complement(X_464),X_463))),X_464) )],[refute_0_3200,refute_0_3201]) ).
cnf(refute_0_3203,plain,
meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)) = complement(X_464),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_463,X_464)),join(complement(X_464),X_463)),complement(join(meet(X_463,X_464),complement(join(complement(X_464),X_463))))) )],[refute_0_3197,refute_0_3202]) ).
cnf(refute_0_3204,plain,
meet(complement(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3203:[bind(X_463,$fot(complement(one))),bind(X_464,$fot(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3205,plain,
meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),bind(X_464,$fot(one))]]) ).
cnf(refute_0_3206,plain,
join(one,join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3207,plain,
join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_1038:[bind(X_126,$fot(X_128)),bind(X_37,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3208,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) != join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| join(one,skolemFOFtoCNF_X0) = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))),join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_3209,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) != join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))
| join(one,skolemFOFtoCNF_X0) = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) )],[refute_0_3207,refute_0_3208]) ).
cnf(refute_0_3210,plain,
join(one,skolemFOFtoCNF_X0) = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))),join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3206,refute_0_3209]) ).
cnf(refute_0_3211,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))
| join(one,skolemFOFtoCNF_X0) != one
| one = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_3212,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_1601,refute_0_3211]) ).
cnf(refute_0_3213,plain,
one = join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,composition(X_128,complement(composition(converse(X_128),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3210,refute_0_3212]) ).
cnf(refute_0_3214,plain,
one = join(one,composition(converse(X0),complement(composition(converse(converse(X0)),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3213:[bind(X_128,$fot(converse(X0)))]]) ).
cnf(refute_0_3215,plain,
( converse(converse(X0)) != X0
| one != join(one,composition(converse(X0),complement(composition(converse(converse(X0)),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(converse(X0),complement(composition(X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(converse(X0),complement(composition(converse(converse(X0)),complement(skolemFOFtoCNF_X0)))))) ),[1,1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_3216,plain,
( one != join(one,composition(converse(X0),complement(composition(converse(converse(X0)),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(converse(X0),complement(composition(X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_3215]) ).
cnf(refute_0_3217,plain,
one = join(one,composition(converse(X0),complement(composition(X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(one,composition(converse(X0),complement(composition(converse(converse(X0)),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3214,refute_0_3216]) ).
cnf(refute_0_3218,plain,
one = join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3217:[bind(X0,$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)))]]) ).
cnf(refute_0_3219,plain,
composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = join(composition(converse(complement(composition(X_176,top))),X_176),composition(X_175,X_176)),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(converse(complement(composition(X_176,top))))),bind(X1,$fot(X_175)),bind(X2,$fot(X_176))]]) ).
cnf(refute_0_3220,plain,
converse(composition(converse(X_122),complement(composition(X_122,top)))) = composition(converse(complement(composition(X_122,top))),converse(converse(X_122))),
inference(subst,[],[refute_0_219:[bind(X0,$fot(converse(X_122))),bind(X1,$fot(complement(composition(X_122,top))))]]) ).
cnf(refute_0_3221,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = composition(converse(X0),complement(composition(X0,top))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(converse(X0),complement(composition(X0,top)))))]]) ).
cnf(refute_0_3222,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != composition(converse(X0),complement(composition(X0,top)))
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
| composition(converse(X0),complement(composition(X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) ),[0],$fot(composition(converse(X0),complement(composition(X0,top))))]]) ).
cnf(refute_0_3223,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
| composition(converse(X0),complement(composition(X0,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),composition(converse(X0),complement(composition(X0,top)))) )],[refute_0_3221,refute_0_3222]) ).
cnf(refute_0_3224,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) )],[refute_0_2134,refute_0_3223]) ).
cnf(refute_0_3225,plain,
composition(converse(X_122),complement(composition(X_122,top))) = zero,
inference(subst,[],[refute_0_3224:[bind(X0,$fot(X_122))]]) ).
cnf(refute_0_3226,plain,
( composition(converse(X_122),complement(composition(X_122,top))) != zero
| converse(composition(converse(X_122),complement(composition(X_122,top)))) != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| converse(zero) = composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_122),complement(composition(X_122,top)))),composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3227,plain,
( converse(composition(converse(X_122),complement(composition(X_122,top)))) != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| converse(zero) = composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_122),complement(composition(X_122,top))),zero) )],[refute_0_3225,refute_0_3226]) ).
cnf(refute_0_3228,plain,
converse(zero) = composition(converse(complement(composition(X_122,top))),converse(converse(X_122))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_122),complement(composition(X_122,top)))),composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))) )],[refute_0_3220,refute_0_3227]) ).
cnf(refute_0_3229,plain,
( converse(zero) != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_3230,plain,
( converse(zero) != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| zero = composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2393,refute_0_3229]) ).
cnf(refute_0_3231,plain,
converse(composition(converse(X_122),complement(composition(X_122,top)))) = composition(converse(complement(composition(X_122,top))),X_122),
inference(subst,[],[refute_0_223:[bind(X0,$fot(X_122)),bind(X_19,$fot(complement(composition(X_122,top))))]]) ).
cnf(refute_0_3232,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_3233,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_219,refute_0_3232]) ).
cnf(refute_0_3234,plain,
composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) = converse(composition(converse(X_122),complement(composition(X_122,top)))),
inference(subst,[],[refute_0_3233:[bind(X0,$fot(converse(X_122))),bind(X1,$fot(complement(composition(X_122,top))))]]) ).
cnf(refute_0_3235,plain,
( composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) != converse(composition(converse(X_122),complement(composition(X_122,top))))
| converse(composition(converse(X_122),complement(composition(X_122,top)))) != composition(converse(complement(composition(X_122,top))),X_122)
| composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) = composition(converse(complement(composition(X_122,top))),X_122) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(complement(composition(X_122,top))),converse(converse(X_122))))),bind(Y,$fot(converse(composition(converse(X_122),complement(composition(X_122,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_122,top))),X_122)))]]) ).
cnf(refute_0_3236,plain,
( converse(composition(converse(X_122),complement(composition(X_122,top)))) != composition(converse(complement(composition(X_122,top))),X_122)
| composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) = composition(converse(complement(composition(X_122,top))),X_122) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_122,top))),converse(converse(X_122))),converse(composition(converse(X_122),complement(composition(X_122,top))))) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) = composition(converse(complement(composition(X_122,top))),X_122),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_122),complement(composition(X_122,top)))),composition(converse(complement(composition(X_122,top))),X_122)) )],[refute_0_3231,refute_0_3236]) ).
cnf(refute_0_3238,plain,
( composition(converse(complement(composition(X_122,top))),converse(converse(X_122))) != composition(converse(complement(composition(X_122,top))),X_122)
| zero != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| zero = composition(converse(complement(composition(X_122,top))),X_122) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))) ),[1],$fot(composition(converse(complement(composition(X_122,top))),X_122))]]) ).
cnf(refute_0_3239,plain,
( zero != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| zero = composition(converse(complement(composition(X_122,top))),X_122) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_122,top))),converse(converse(X_122))),composition(converse(complement(composition(X_122,top))),X_122)) )],[refute_0_3237,refute_0_3238]) ).
cnf(refute_0_3240,plain,
( converse(zero) != composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))
| zero = composition(converse(complement(composition(X_122,top))),X_122) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))) )],[refute_0_3230,refute_0_3239]) ).
cnf(refute_0_3241,plain,
zero = composition(converse(complement(composition(X_122,top))),X_122),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_122,top))),converse(converse(X_122)))) )],[refute_0_3228,refute_0_3240]) ).
cnf(refute_0_3242,plain,
zero = composition(converse(complement(composition(X_176,top))),X_176),
inference(subst,[],[refute_0_3241:[bind(X_122,$fot(X_176))]]) ).
cnf(refute_0_3243,plain,
( zero != composition(converse(complement(composition(X_176,top))),X_176)
| composition(converse(complement(composition(X_176,top))),X_176) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_176,top))),X_176)))]]) ).
cnf(refute_0_3244,plain,
composition(converse(complement(composition(X_176,top))),X_176) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_176,top))),X_176)) )],[refute_0_3242,refute_0_3243]) ).
cnf(refute_0_3245,plain,
( composition(converse(complement(composition(X_176,top))),X_176) != zero
| composition(join(converse(complement(composition(X_176,top))),X_175),X_176) != join(composition(converse(complement(composition(X_176,top))),X_176),composition(X_175,X_176))
| composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = join(zero,composition(X_175,X_176)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_176,top))),X_175),X_176),join(composition(converse(complement(composition(X_176,top))),X_176),composition(X_175,X_176))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3246,plain,
( composition(join(converse(complement(composition(X_176,top))),X_175),X_176) != join(composition(converse(complement(composition(X_176,top))),X_176),composition(X_175,X_176))
| composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = join(zero,composition(X_175,X_176)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_176,top))),X_176),zero) )],[refute_0_3244,refute_0_3245]) ).
cnf(refute_0_3247,plain,
composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = join(zero,composition(X_175,X_176)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_176,top))),X_175),X_176),join(composition(converse(complement(composition(X_176,top))),X_176),composition(X_175,X_176))) )],[refute_0_3219,refute_0_3246]) ).
cnf(refute_0_3248,plain,
join(zero,composition(X_175,X_176)) = composition(X_175,X_176),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(X_175,X_176)))]]) ).
cnf(refute_0_3249,plain,
( composition(join(converse(complement(composition(X_176,top))),X_175),X_176) != join(zero,composition(X_175,X_176))
| join(zero,composition(X_175,X_176)) != composition(X_175,X_176)
| composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = composition(X_175,X_176) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(complement(composition(X_176,top))),X_175),X_176),composition(X_175,X_176)) ),[0],$fot(join(zero,composition(X_175,X_176)))]]) ).
cnf(refute_0_3250,plain,
( composition(join(converse(complement(composition(X_176,top))),X_175),X_176) != join(zero,composition(X_175,X_176))
| composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = composition(X_175,X_176) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_175,X_176)),composition(X_175,X_176)) )],[refute_0_3248,refute_0_3249]) ).
cnf(refute_0_3251,plain,
composition(join(converse(complement(composition(X_176,top))),X_175),X_176) = composition(X_175,X_176),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_176,top))),X_175),X_176),join(zero,composition(X_175,X_176))) )],[refute_0_3247,refute_0_3250]) ).
cnf(refute_0_3252,plain,
composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)) = composition(X_193,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3251:[bind(X_175,$fot(X_193)),bind(X_176,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3253,plain,
( composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)) != composition(X_193,complement(skolemFOFtoCNF_X0))
| one != join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)))))) ),[1,1,1,0],$fot(composition(X_193,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3254,plain,
( one != join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)),composition(X_193,complement(skolemFOFtoCNF_X0))) )],[refute_0_3252,refute_0_3253]) ).
cnf(refute_0_3255,plain,
one = join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3218,refute_0_3254]) ).
cnf(refute_0_3256,plain,
converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),
inference(subst,[],[refute_0_537:[bind(X0,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))),bind(X_5,$fot(X_193))]]) ).
cnf(refute_0_3257,plain,
composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) = composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3258,plain,
( composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) != composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))
| converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193))
| composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) = composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))),composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)))]]) ).
cnf(refute_0_3259,plain,
( converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193))
| composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) = composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))),composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) )],[refute_0_3257,refute_0_3258]) ).
cnf(refute_0_3260,plain,
composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) = composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193))) )],[refute_0_3256,refute_0_3259]) ).
cnf(refute_0_3261,plain,
join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) = join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3262,plain,
( composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) != composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))
| join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) != join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))
| join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3263,plain,
( composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))) != composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))
| join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3261,refute_0_3262]) ).
cnf(refute_0_3264,plain,
join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))),composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) )],[refute_0_3260,refute_0_3263]) ).
cnf(refute_0_3265,plain,
( join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) != join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))
| one != join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3266,plain,
( one != join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3264,refute_0_3265]) ).
cnf(refute_0_3267,plain,
one = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(one,composition(converse(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),X_193)),complement(composition(X_193,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3255,refute_0_3266]) ).
cnf(refute_0_3268,plain,
one = join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3267:[bind(X_193,$fot(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_3269,plain,
converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),bind(X1,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_3270,plain,
one = join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(subst,[],[refute_0_94:[bind(X1,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),bind(X_37,$fot(one))]]) ).
cnf(refute_0_3271,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_3272,plain,
join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = top,
inference(subst,[],[refute_0_1594:[bind(X_149,$fot(one)),bind(X_151,$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_3273,plain,
one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3213:[bind(X_128,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3274,plain,
zero = composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3241:[bind(X_122,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3275,plain,
( zero != composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))
| composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3276,plain,
composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))) )],[refute_0_3274,refute_0_3275]) ).
cnf(refute_0_3277,plain,
( composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) != zero
| one != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3278,plain,
( one != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_3276,refute_0_3277]) ).
cnf(refute_0_3279,plain,
one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))),
inference(resolve,[$cnf( $equal(one,join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(composition(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3273,refute_0_3278]) ).
cnf(refute_0_3280,plain,
composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))]]) ).
cnf(refute_0_3281,plain,
( complement(zero) != top
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3282,plain,
( complement(zero) != top
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) )],[refute_0_3280,refute_0_3281]) ).
cnf(refute_0_3283,plain,
composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_3282]) ).
cnf(refute_0_3284,plain,
join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))),
introduced(tautology,[refl,[$fot(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))))]]) ).
cnf(refute_0_3285,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)
| join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))
| join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))),join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))) ),[1,1],$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))]]) ).
cnf(refute_0_3286,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)
| join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))),join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))) )],[refute_0_3284,refute_0_3285]) ).
cnf(refute_0_3287,plain,
join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) )],[refute_0_3283,refute_0_3286]) ).
cnf(refute_0_3288,plain,
( join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))) != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| one != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))
| one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))) ),[1],$fot(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_3289,plain,
( one != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))
| one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero))),join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_3287,refute_0_3288]) ).
cnf(refute_0_3290,plain,
one = join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
inference(resolve,[$cnf( $equal(one,join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(zero)))) )],[refute_0_3279,refute_0_3289]) ).
cnf(refute_0_3291,plain,
( one != join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_3292,plain,
join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = one,
inference(resolve,[$cnf( $equal(one,join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_3290,refute_0_3291]) ).
cnf(refute_0_3293,plain,
( join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != top
| join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != one
| join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),top) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_3294,plain,
( join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != top
| join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one) )],[refute_0_3292,refute_0_3293]) ).
cnf(refute_0_3295,plain,
join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(one,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),top) )],[refute_0_3272,refute_0_3294]) ).
cnf(refute_0_3296,plain,
join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
introduced(tautology,[refl,[$fot(join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3297,plain,
( converse(one) != one
| join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3298,plain,
( converse(one) != one
| join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3296,refute_0_3297]) ).
cnf(refute_0_3299,plain,
join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_3298]) ).
cnf(refute_0_3300,plain,
join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),bind(X1,$fot(converse(one)))]]) ).
cnf(refute_0_3301,plain,
( join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) != join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)))),bind(Y,$fot(join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),bind(Z,$fot(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_3302,plain,
( join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)),join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3300,refute_0_3301]) ).
cnf(refute_0_3303,plain,
join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) = join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3299,refute_0_3302]) ).
cnf(refute_0_3304,plain,
( join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) != join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) != top
| join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)),top) ),[0],$fot(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3305,plain,
( join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)) != top
| join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)),join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3303,refute_0_3304]) ).
cnf(refute_0_3306,plain,
join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(one)),top) )],[refute_0_3295,refute_0_3305]) ).
cnf(refute_0_3307,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != top
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_3308,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),top) )],[refute_0_3306,refute_0_3307]) ).
cnf(refute_0_3309,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(join(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3271,refute_0_3308]) ).
cnf(refute_0_3310,plain,
join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3311,plain,
meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_3312,plain,
join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)))]]) ).
cnf(refute_0_3313,plain,
( join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))
| meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))) ),[1,1],$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_3314,plain,
( meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))) )],[refute_0_3312,refute_0_3313]) ).
cnf(refute_0_3315,plain,
join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(resolve,[$cnf( $equal(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3311,refute_0_3314]) ).
cnf(refute_0_3316,plain,
join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)))]]) ).
cnf(refute_0_3317,plain,
( complement(top) != zero
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3318,plain,
( complement(top) != zero
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))) )],[refute_0_3316,refute_0_3317]) ).
cnf(refute_0_3319,plain,
join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_3318]) ).
cnf(refute_0_3320,plain,
( join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))
| join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)))),bind(Y,$fot(join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)))),bind(Z,$fot(join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_3321,plain,
( join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))) )],[refute_0_3319,refute_0_3320]) ).
cnf(refute_0_3322,plain,
join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3315,refute_0_3321]) ).
cnf(refute_0_3323,plain,
( join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)))),bind(Y,$fot(join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),bind(Z,$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3324,plain,
( join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3322,refute_0_3323]) ).
cnf(refute_0_3325,plain,
join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3310,refute_0_3324]) ).
cnf(refute_0_3326,plain,
join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) = join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_3327,plain,
( join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) != join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))
| join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)))),bind(Z,$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3328,plain,
( join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)),join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one))) )],[refute_0_3326,refute_0_3327]) ).
cnf(refute_0_3329,plain,
join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one)),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3325,refute_0_3328]) ).
cnf(refute_0_3330,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top))
| join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),[0],$fot(join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)))]]) ).
cnf(refute_0_3331,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top)),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3329,refute_0_3330]) ).
cnf(refute_0_3332,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),join(meet(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),one),complement(top))) )],[refute_0_3309,refute_0_3331]) ).
cnf(refute_0_3333,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),bind(Y,$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3334,plain,
meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3332,refute_0_3333]) ).
cnf(refute_0_3335,plain,
( meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| one != join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1,0],$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_3336,plain,
( one != join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_3334,refute_0_3335]) ).
cnf(refute_0_3337,plain,
one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_3270,refute_0_3336]) ).
cnf(refute_0_3338,plain,
( one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))]]) ).
cnf(refute_0_3339,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_3337,refute_0_3338]) ).
cnf(refute_0_3340,plain,
( converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != one
| converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3341,plain,
( converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),one) )],[refute_0_3339,refute_0_3340]) ).
cnf(refute_0_3342,plain,
converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3269,refute_0_3341]) ).
cnf(refute_0_3343,plain,
converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
inference(subst,[],[refute_0_537:[bind(X0,$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),bind(X_5,$fot(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_3344,plain,
( converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),bind(Y,$fot(converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))),bind(Z,$fot(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))))]]) ).
cnf(refute_0_3345,plain,
( converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3269,refute_0_3344]) ).
cnf(refute_0_3346,plain,
converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3343,refute_0_3345]) ).
cnf(refute_0_3347,plain,
( converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != converse(one)
| converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(one)) ),[0],$fot(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))]]) ).
cnf(refute_0_3348,plain,
( converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != converse(one)
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3346,refute_0_3347]) ).
cnf(refute_0_3349,plain,
( converse(one) != one
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != converse(one)
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_3350,plain,
( join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != converse(one)
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_3349]) ).
cnf(refute_0_3351,plain,
( converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != converse(one)
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = one ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),converse(one)) )],[refute_0_3348,refute_0_3350]) ).
cnf(refute_0_3352,plain,
join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),converse(one)) )],[refute_0_3342,refute_0_3351]) ).
cnf(refute_0_3353,plain,
join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(composition(converse(composition(X_279,top)),complement(composition(X_279,top))))))) = complement(converse(converse(composition(X_279,top)))),
inference(subst,[],[refute_0_2125:[bind(X_18,$fot(converse(composition(X_279,top)))),bind(X_19,$fot(complement(composition(X_279,top))))]]) ).
cnf(refute_0_3354,plain,
join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))) = complement(X1),
inference(subst,[],[refute_0_52:[bind(X0,$fot(composition(X_62,X_63)))]]) ).
cnf(refute_0_3355,plain,
composition(X_62,composition(X_63,X1)) = composition(composition(X_62,X_63),X1),
inference(subst,[],[refute_0_2105:[bind(X0,$fot(X_62)),bind(X1,$fot(X_63)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3356,plain,
( composition(X_62,composition(X_63,X1)) != composition(composition(X_62,X_63),X1)
| composition(composition(X_62,X_63),X1) = composition(X_62,composition(X_63,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_62,composition(X_63,X1)))),bind(Y,$fot(composition(composition(X_62,X_63),X1)))]]) ).
cnf(refute_0_3357,plain,
composition(composition(X_62,X_63),X1) = composition(X_62,composition(X_63,X1)),
inference(resolve,[$cnf( $equal(composition(X_62,composition(X_63,X1)),composition(composition(X_62,X_63),X1)) )],[refute_0_3355,refute_0_3356]) ).
cnf(refute_0_3358,plain,
( composition(composition(X_62,X_63),X1) != composition(X_62,composition(X_63,X1))
| join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(X_62,composition(X_63,X1))))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))),complement(X1)) ),[0,1,1,0],$fot(composition(X_62,composition(X_63,X1)))]]) ).
cnf(refute_0_3359,plain,
( join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(X_62,composition(X_63,X1))))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(composition(X_62,X_63),X1),composition(X_62,composition(X_63,X1))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(X_62,composition(X_63,X1))))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))),complement(X1)) )],[refute_0_3354,refute_0_3359]) ).
cnf(refute_0_3361,plain,
join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,composition(top,top))))) = complement(top),
inference(subst,[],[refute_0_3360:[bind(X1,$fot(top)),bind(X_62,$fot(X_277)),bind(X_63,$fot(top))]]) ).
cnf(refute_0_3362,plain,
( composition(top,top) != top
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,composition(top,top))))) != complement(top)
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,composition(top,top))))),complement(top)) ),[0,1,1,0,1],$fot(top)]]) ).
cnf(refute_0_3363,plain,
( join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,composition(top,top))))) != complement(top)
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2450,refute_0_3362]) ).
cnf(refute_0_3364,plain,
join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,composition(top,top))))),complement(top)) )],[refute_0_3361,refute_0_3363]) ).
cnf(refute_0_3365,plain,
join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = composition(converse(composition(X_277,top)),complement(composition(X_277,top))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(converse(composition(X_277,top)),complement(composition(X_277,top)))))]]) ).
cnf(refute_0_3366,plain,
join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))))]]) ).
cnf(refute_0_3367,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top))))
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3368,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top))))) )],[refute_0_3366,refute_0_3367]) ).
cnf(refute_0_3369,plain,
join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_3368]) ).
cnf(refute_0_3370,plain,
( join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top))))
| join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != composition(converse(composition(X_277,top)),complement(composition(X_277,top)))
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = composition(converse(composition(X_277,top)),complement(composition(X_277,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))))),bind(Y,$fot(join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))))),bind(Z,$fot(composition(converse(composition(X_277,top)),complement(composition(X_277,top)))))]]) ).
cnf(refute_0_3371,plain,
( join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != composition(converse(composition(X_277,top)),complement(composition(X_277,top)))
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = composition(converse(composition(X_277,top)),complement(composition(X_277,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top))))) )],[refute_0_3369,refute_0_3370]) ).
cnf(refute_0_3372,plain,
join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) = composition(converse(composition(X_277,top)),complement(composition(X_277,top))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) )],[refute_0_3365,refute_0_3371]) ).
cnf(refute_0_3373,plain,
( join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != complement(top)
| join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != composition(converse(composition(X_277,top)),complement(composition(X_277,top)))
| composition(converse(composition(X_277,top)),complement(composition(X_277,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),complement(top)) ),[0],$fot(composition(converse(composition(X_277,top)),complement(composition(X_277,top))))]]) ).
cnf(refute_0_3374,plain,
( join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != complement(top)
| composition(converse(composition(X_277,top)),complement(composition(X_277,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) )],[refute_0_3372,refute_0_3373]) ).
cnf(refute_0_3375,plain,
( complement(top) != zero
| composition(converse(composition(X_277,top)),complement(composition(X_277,top))) != complement(top)
| composition(converse(composition(X_277,top)),complement(composition(X_277,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_277,top)),complement(composition(X_277,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3376,plain,
( composition(converse(composition(X_277,top)),complement(composition(X_277,top))) != complement(top)
| composition(converse(composition(X_277,top)),complement(composition(X_277,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_3375]) ).
cnf(refute_0_3377,plain,
( join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))) != complement(top)
| composition(converse(composition(X_277,top)),complement(composition(X_277,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_277,top)),complement(composition(X_277,top))),complement(top)) )],[refute_0_3374,refute_0_3376]) ).
cnf(refute_0_3378,plain,
composition(converse(composition(X_277,top)),complement(composition(X_277,top))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_277,top)),complement(composition(X_277,top)))),complement(top)) )],[refute_0_3364,refute_0_3377]) ).
cnf(refute_0_3379,plain,
composition(converse(composition(X_279,top)),complement(composition(X_279,top))) = zero,
inference(subst,[],[refute_0_3378:[bind(X_277,$fot(X_279))]]) ).
cnf(refute_0_3380,plain,
( composition(converse(composition(X_279,top)),complement(composition(X_279,top))) != zero
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(composition(converse(composition(X_279,top)),complement(composition(X_279,top))))))) != complement(converse(converse(composition(X_279,top))))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_279,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(composition(converse(composition(X_279,top)),complement(composition(X_279,top))))))),complement(converse(converse(composition(X_279,top))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3381,plain,
( join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(composition(converse(composition(X_279,top)),complement(composition(X_279,top))))))) != complement(converse(converse(composition(X_279,top))))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_279,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_279,top)),complement(composition(X_279,top))),zero) )],[refute_0_3379,refute_0_3380]) ).
cnf(refute_0_3382,plain,
join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_279,top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(composition(converse(composition(X_279,top)),complement(composition(X_279,top))))))),complement(converse(converse(composition(X_279,top))))) )],[refute_0_3353,refute_0_3381]) ).
cnf(refute_0_3383,plain,
composition(complement(composition(X_279,top)),complement(converse(zero))) = composition(complement(composition(X_279,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_279,top)),complement(converse(zero))))]]) ).
cnf(refute_0_3384,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_279,top)),complement(converse(zero))) != composition(complement(composition(X_279,top)),complement(converse(zero)))
| composition(complement(composition(X_279,top)),complement(converse(zero))) = composition(complement(composition(X_279,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_279,top)),complement(converse(zero))),composition(complement(composition(X_279,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3385,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_279,top)),complement(converse(zero))) = composition(complement(composition(X_279,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_279,top)),complement(converse(zero))),composition(complement(composition(X_279,top)),complement(converse(zero)))) )],[refute_0_3383,refute_0_3384]) ).
cnf(refute_0_3386,plain,
composition(complement(composition(X_279,top)),complement(converse(zero))) = composition(complement(composition(X_279,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2179,refute_0_3385]) ).
cnf(refute_0_3387,plain,
join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_3388,plain,
( composition(complement(composition(X_279,top)),complement(converse(zero))) != composition(complement(composition(X_279,top)),top)
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) != join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero))))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(X_279,top)),top))]]) ).
cnf(refute_0_3389,plain,
( composition(complement(composition(X_279,top)),complement(converse(zero))) != composition(complement(composition(X_279,top)),top)
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero))))) )],[refute_0_3387,refute_0_3388]) ).
cnf(refute_0_3390,plain,
join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_279,top)),complement(converse(zero))),composition(complement(composition(X_279,top)),top)) )],[refute_0_3386,refute_0_3389]) ).
cnf(refute_0_3391,plain,
converse(converse(composition(X_279,top))) = composition(X_279,top),
inference(subst,[],[refute_0_54:[bind(X0,$fot(composition(X_279,top)))]]) ).
cnf(refute_0_3392,plain,
complement(converse(converse(composition(X_279,top)))) = complement(converse(converse(composition(X_279,top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(X_279,top)))))]]) ).
cnf(refute_0_3393,plain,
( complement(converse(converse(composition(X_279,top)))) != complement(converse(converse(composition(X_279,top))))
| converse(converse(composition(X_279,top))) != composition(X_279,top)
| complement(converse(converse(composition(X_279,top)))) = complement(composition(X_279,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(X_279,top)))),complement(converse(converse(composition(X_279,top))))) ),[1,0],$fot(composition(X_279,top))]]) ).
cnf(refute_0_3394,plain,
( converse(converse(composition(X_279,top))) != composition(X_279,top)
| complement(converse(converse(composition(X_279,top)))) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_279,top)))),complement(converse(converse(composition(X_279,top))))) )],[refute_0_3392,refute_0_3393]) ).
cnf(refute_0_3395,plain,
complement(converse(converse(composition(X_279,top)))) = complement(composition(X_279,top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_279,top))),composition(X_279,top)) )],[refute_0_3391,refute_0_3394]) ).
cnf(refute_0_3396,plain,
join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_3397,plain,
( complement(converse(converse(composition(X_279,top)))) != complement(composition(X_279,top))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) != join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero))))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero))))) ),[1,0],$fot(complement(composition(X_279,top)))]]) ).
cnf(refute_0_3398,plain,
( complement(converse(converse(composition(X_279,top)))) != complement(composition(X_279,top))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero))))) )],[refute_0_3396,refute_0_3397]) ).
cnf(refute_0_3399,plain,
join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_279,top)))),complement(composition(X_279,top))) )],[refute_0_3395,refute_0_3398]) ).
cnf(refute_0_3400,plain,
( join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) != join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) != join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero))))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))))),bind(Y,$fot(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))))),bind(Z,$fot(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top))))]]) ).
cnf(refute_0_3401,plain,
( join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))) != join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero))))) )],[refute_0_3399,refute_0_3400]) ).
cnf(refute_0_3402,plain,
join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) = join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top))) )],[refute_0_3390,refute_0_3401]) ).
cnf(refute_0_3403,plain,
( join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_279,top))))
| join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) != join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = complement(converse(converse(composition(X_279,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),complement(converse(converse(composition(X_279,top))))) ),[0],$fot(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)))]]) ).
cnf(refute_0_3404,plain,
( join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_279,top))))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = complement(converse(converse(composition(X_279,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top))) )],[refute_0_3402,refute_0_3403]) ).
cnf(refute_0_3405,plain,
( complement(converse(converse(composition(X_279,top)))) != complement(composition(X_279,top))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) != complement(converse(converse(composition(X_279,top))))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = complement(composition(X_279,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),complement(converse(converse(composition(X_279,top))))) ),[1],$fot(complement(composition(X_279,top)))]]) ).
cnf(refute_0_3406,plain,
( join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) != complement(converse(converse(composition(X_279,top))))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_279,top)))),complement(composition(X_279,top))) )],[refute_0_3395,refute_0_3405]) ).
cnf(refute_0_3407,plain,
( join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_279,top))))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),complement(converse(converse(composition(X_279,top))))) )],[refute_0_3404,refute_0_3406]) ).
cnf(refute_0_3408,plain,
join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = complement(composition(X_279,top)),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_279,top)))),composition(complement(composition(X_279,top)),complement(converse(zero)))),complement(converse(converse(composition(X_279,top))))) )],[refute_0_3382,refute_0_3407]) ).
cnf(refute_0_3409,plain,
composition(complement(composition(X_279,top)),join(one,top)) = composition(complement(composition(X_279,top)),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_279,top)),join(one,top)))]]) ).
cnf(refute_0_3410,plain,
( composition(complement(composition(X_279,top)),join(one,top)) != composition(complement(composition(X_279,top)),join(one,top))
| join(one,top) != top
| composition(complement(composition(X_279,top)),join(one,top)) = composition(complement(composition(X_279,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_279,top)),join(one,top)),composition(complement(composition(X_279,top)),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3411,plain,
( join(one,top) != top
| composition(complement(composition(X_279,top)),join(one,top)) = composition(complement(composition(X_279,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_279,top)),join(one,top)),composition(complement(composition(X_279,top)),join(one,top))) )],[refute_0_3409,refute_0_3410]) ).
cnf(refute_0_3412,plain,
composition(complement(composition(X_279,top)),join(one,top)) = composition(complement(composition(X_279,top)),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_3411]) ).
cnf(refute_0_3413,plain,
join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = composition(complement(composition(X_279,top)),join(one,top)),
inference(subst,[],[refute_0_3036:[bind(X0,$fot(top)),bind(X_401,$fot(complement(composition(X_279,top))))]]) ).
cnf(refute_0_3414,plain,
( composition(complement(composition(X_279,top)),join(one,top)) != composition(complement(composition(X_279,top)),top)
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) != composition(complement(composition(X_279,top)),join(one,top))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = composition(complement(composition(X_279,top)),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)))),bind(Y,$fot(composition(complement(composition(X_279,top)),join(one,top)))),bind(Z,$fot(composition(complement(composition(X_279,top)),top)))]]) ).
cnf(refute_0_3415,plain,
( composition(complement(composition(X_279,top)),join(one,top)) != composition(complement(composition(X_279,top)),top)
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = composition(complement(composition(X_279,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),composition(complement(composition(X_279,top)),join(one,top))) )],[refute_0_3413,refute_0_3414]) ).
cnf(refute_0_3416,plain,
join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) = composition(complement(composition(X_279,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_279,top)),join(one,top)),composition(complement(composition(X_279,top)),top)) )],[refute_0_3412,refute_0_3415]) ).
cnf(refute_0_3417,plain,
( join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) != complement(composition(X_279,top))
| join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) != composition(complement(composition(X_279,top)),top)
| composition(complement(composition(X_279,top)),top) = complement(composition(X_279,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),complement(composition(X_279,top))) ),[0],$fot(composition(complement(composition(X_279,top)),top))]]) ).
cnf(refute_0_3418,plain,
( join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)) != complement(composition(X_279,top))
| composition(complement(composition(X_279,top)),top) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),composition(complement(composition(X_279,top)),top)) )],[refute_0_3416,refute_0_3417]) ).
cnf(refute_0_3419,plain,
composition(complement(composition(X_279,top)),top) = complement(composition(X_279,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),composition(complement(composition(X_279,top)),top)),complement(composition(X_279,top))) )],[refute_0_3408,refute_0_3418]) ).
cnf(refute_0_3420,plain,
composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_3419:[bind(X_279,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3421,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_3422,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3423,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3420,refute_0_3423]) ).
cnf(refute_0_3425,plain,
complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_3426,plain,
( complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),[1,0],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3427,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3425,refute_0_3426]) ).
cnf(refute_0_3428,plain,
complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3424,refute_0_3427]) ).
cnf(refute_0_3429,plain,
meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_3430,plain,
( complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),[1,1],$fot(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3431,plain,
( complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_3429,refute_0_3430]) ).
cnf(refute_0_3432,plain,
meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3428,refute_0_3431]) ).
cnf(refute_0_3433,plain,
converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
introduced(tautology,[refl,[$fot(converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_3434,plain,
( converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1,0],$fot(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_3435,plain,
( meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_3433,refute_0_3434]) ).
cnf(refute_0_3436,plain,
converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_3432,refute_0_3435]) ).
cnf(refute_0_3437,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
introduced(tautology,[refl,[$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))]]) ).
cnf(refute_0_3438,plain,
( converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) ),[1,1],$fot(converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_3439,plain,
( converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3437,refute_0_3438]) ).
cnf(refute_0_3440,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_3436,refute_0_3439]) ).
cnf(refute_0_3441,plain,
join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
introduced(tautology,[refl,[$fot(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))]]) ).
cnf(refute_0_3442,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3443,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3441,refute_0_3442]) ).
cnf(refute_0_3444,plain,
join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3420,refute_0_3443]) ).
cnf(refute_0_3445,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))),bind(Y,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))))),bind(Z,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))))]]) ).
cnf(refute_0_3446,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))) )],[refute_0_3444,refute_0_3445]) ).
cnf(refute_0_3447,plain,
join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))) )],[refute_0_3440,refute_0_3446]) ).
cnf(refute_0_3448,plain,
( join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))
| join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != one
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),one) ),[0],$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_3449,plain,
( join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) != one
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) = one ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))))) )],[refute_0_3447,refute_0_3448]) ).
cnf(refute_0_3450,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) = one,
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),converse(meet(one,complement(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))),one) )],[refute_0_3352,refute_0_3449]) ).
cnf(refute_0_3451,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) != one
| one != join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_3452,plain,
( one != join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))
| one = join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),one) )],[refute_0_3450,refute_0_3451]) ).
cnf(refute_0_3453,plain,
one = join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(one,composition(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3268,refute_0_3452]) ).
cnf(refute_0_3454,plain,
composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_269:[bind(X_20,$fot(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3455,plain,
join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) = composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3036:[bind(X0,$fot(complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),bind(X_401,$fot(one))]]) ).
cnf(refute_0_3456,plain,
( composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) != join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))
| join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) != composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))
| join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3457,plain,
( composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) != join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))
| join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3455,refute_0_3456]) ).
cnf(refute_0_3458,plain,
join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3454,refute_0_3457]) ).
cnf(refute_0_3459,plain,
( join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) != join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))
| one != join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))
| one = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3460,plain,
( one != join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))
| one = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))),join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3458,refute_0_3459]) ).
cnf(refute_0_3461,plain,
one = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(one,composition(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3453,refute_0_3460]) ).
cnf(refute_0_3462,plain,
complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3463,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) = composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_219:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))))]]) ).
cnf(refute_0_3464,plain,
converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),
inference(subst,[],[refute_0_2542:[bind(X_18,$fot(complement(converse(complement(composition(converse(X0),top))))))]]) ).
cnf(refute_0_3465,plain,
composition(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),X_194) = composition(complement(converse(complement(composition(X_194,top)))),X_194),
inference(subst,[],[refute_0_3251:[bind(X_175,$fot(complement(converse(complement(composition(X_194,top)))))),bind(X_176,$fot(X_194))]]) ).
cnf(refute_0_3466,plain,
top = join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(converse(complement(composition(X_194,top)))))]]) ).
cnf(refute_0_3467,plain,
( top != join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top)))))
| join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top)))))))]]) ).
cnf(refute_0_3468,plain,
join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top)))))) )],[refute_0_3466,refute_0_3467]) ).
cnf(refute_0_3469,plain,
( composition(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),X_194) != composition(complement(converse(complement(composition(X_194,top)))),X_194)
| join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))) != top
| composition(top,X_194) = composition(complement(converse(complement(composition(X_194,top)))),X_194) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),X_194),composition(complement(converse(complement(composition(X_194,top)))),X_194)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3470,plain,
( composition(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),X_194) != composition(complement(converse(complement(composition(X_194,top)))),X_194)
| composition(top,X_194) = composition(complement(converse(complement(composition(X_194,top)))),X_194) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),top) )],[refute_0_3468,refute_0_3469]) ).
cnf(refute_0_3471,plain,
composition(top,X_194) = composition(complement(converse(complement(composition(X_194,top)))),X_194),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_194,top))),complement(converse(complement(composition(X_194,top))))),X_194),composition(complement(converse(complement(composition(X_194,top)))),X_194)) )],[refute_0_3465,refute_0_3470]) ).
cnf(refute_0_3472,plain,
composition(top,converse(X0)) = composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)),
inference(subst,[],[refute_0_3471:[bind(X_194,$fot(converse(X0)))]]) ).
cnf(refute_0_3473,plain,
( composition(top,converse(X0)) != composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))
| composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)) = composition(top,converse(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(top,converse(X0)))),bind(Y,$fot(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))))]]) ).
cnf(refute_0_3474,plain,
composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)) = composition(top,converse(X0)),
inference(resolve,[$cnf( $equal(composition(top,converse(X0)),composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) )],[refute_0_3472,refute_0_3473]) ).
cnf(refute_0_3475,plain,
( composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)) != composition(top,converse(X0))
| converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(composition(top,converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[0,0],$fot(composition(top,converse(X0)))]]) ).
cnf(refute_0_3476,plain,
( converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(composition(top,converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)),composition(top,converse(X0))) )],[refute_0_3474,refute_0_3475]) ).
cnf(refute_0_3477,plain,
converse(composition(top,converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_3464,refute_0_3476]) ).
cnf(refute_0_3478,plain,
composition(X0,converse(top)) = composition(X0,converse(top)),
introduced(tautology,[refl,[$fot(composition(X0,converse(top)))]]) ).
cnf(refute_0_3479,plain,
( composition(X0,converse(top)) != composition(X0,converse(top))
| converse(top) != top
| composition(X0,converse(top)) = composition(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(top)),composition(X0,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3480,plain,
( converse(top) != top
| composition(X0,converse(top)) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(top)),composition(X0,converse(top))) )],[refute_0_3478,refute_0_3479]) ).
cnf(refute_0_3481,plain,
composition(X0,converse(top)) = composition(X0,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_3480]) ).
cnf(refute_0_3482,plain,
converse(composition(top,converse(X0))) = composition(X0,converse(top)),
inference(subst,[],[refute_0_2542:[bind(X_18,$fot(top))]]) ).
cnf(refute_0_3483,plain,
( composition(X0,converse(top)) != composition(X0,top)
| converse(composition(top,converse(X0))) != composition(X0,converse(top))
| converse(composition(top,converse(X0))) = composition(X0,top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(composition(top,converse(X0))))),bind(Y,$fot(composition(X0,converse(top)))),bind(Z,$fot(composition(X0,top)))]]) ).
cnf(refute_0_3484,plain,
( composition(X0,converse(top)) != composition(X0,top)
| converse(composition(top,converse(X0))) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(top))) )],[refute_0_3482,refute_0_3483]) ).
cnf(refute_0_3485,plain,
converse(composition(top,converse(X0))) = composition(X0,top),
inference(resolve,[$cnf( $equal(composition(X0,converse(top)),composition(X0,top)) )],[refute_0_3481,refute_0_3484]) ).
cnf(refute_0_3486,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(composition(top,converse(X0))) != composition(X0,top)
| composition(X0,top) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[0],$fot(composition(X0,top))]]) ).
cnf(refute_0_3487,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,top)) )],[refute_0_3485,refute_0_3486]) ).
cnf(refute_0_3488,plain,
converse(composition(converse(top),X_19)) = composition(converse(X_19),top),
inference(subst,[],[refute_0_223:[bind(X0,$fot(top))]]) ).
cnf(refute_0_3489,plain,
( converse(composition(converse(top),X_19)) != composition(converse(X_19),top)
| converse(top) != top
| converse(composition(top,X_19)) = composition(converse(X_19),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_19)),composition(converse(X_19),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_3490,plain,
( converse(composition(converse(top),X_19)) != composition(converse(X_19),top)
| converse(composition(top,X_19)) = composition(converse(X_19),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_3489]) ).
cnf(refute_0_3491,plain,
converse(composition(top,X_19)) = composition(converse(X_19),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_19)),composition(converse(X_19),top)) )],[refute_0_3488,refute_0_3490]) ).
cnf(refute_0_3492,plain,
( converse(composition(top,X_19)) != composition(converse(X_19),top)
| composition(converse(X_19),top) = converse(composition(top,X_19)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(top,X_19)))),bind(Y,$fot(composition(converse(X_19),top)))]]) ).
cnf(refute_0_3493,plain,
composition(converse(X_19),top) = converse(composition(top,X_19)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_19)),composition(converse(X_19),top)) )],[refute_0_3491,refute_0_3492]) ).
cnf(refute_0_3494,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_0_3493:[bind(X_19,$fot(X0))]]) ).
cnf(refute_0_3495,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_0_3496,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_0_3497,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_0_3495,refute_0_3496]) ).
cnf(refute_0_3498,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_0_3494,refute_0_3497]) ).
cnf(refute_0_3499,plain,
converse(complement(composition(converse(X0),top))) = converse(complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(converse(complement(composition(converse(X0),top))))]]) ).
cnf(refute_0_3500,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| converse(complement(composition(converse(X0),top))) != converse(complement(composition(converse(X0),top)))
| converse(complement(composition(converse(X0),top))) = converse(complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(converse(X0),top))),converse(complement(composition(converse(X0),top)))) ),[1,0],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_0_3501,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| converse(complement(composition(converse(X0),top))) = converse(complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(X0),top))),converse(complement(composition(converse(X0),top)))) )],[refute_0_3499,refute_0_3500]) ).
cnf(refute_0_3502,plain,
converse(complement(composition(converse(X0),top))) = converse(complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_0_3498,refute_0_3501]) ).
cnf(refute_0_3503,plain,
complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(composition(converse(X0),top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(converse(X0),top)))))]]) ).
cnf(refute_0_3504,plain,
( complement(converse(complement(composition(converse(X0),top)))) != complement(converse(complement(composition(converse(X0),top))))
| converse(complement(composition(converse(X0),top))) != converse(complement(converse(composition(top,X0))))
| complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(converse(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(converse(X0),top)))),complement(converse(complement(composition(converse(X0),top))))) ),[1,0],$fot(converse(complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_3505,plain,
( converse(complement(composition(converse(X0),top))) != converse(complement(converse(composition(top,X0))))
| complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(converse(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(converse(X0),top)))),complement(converse(complement(composition(converse(X0),top))))) )],[refute_0_3503,refute_0_3504]) ).
cnf(refute_0_3506,plain,
complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(converse(composition(top,X0))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(X0),top))),converse(complement(converse(composition(top,X0))))) )],[refute_0_3502,refute_0_3505]) ).
cnf(refute_0_3507,plain,
converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(composition(converse(X0),top))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(composition(converse(X0),top))))))]]) ).
cnf(refute_0_3508,plain,
( complement(converse(complement(composition(converse(X0),top)))) != complement(converse(complement(converse(composition(top,X0)))))
| converse(complement(converse(complement(composition(converse(X0),top))))) != converse(complement(converse(complement(composition(converse(X0),top)))))
| converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(converse(composition(top,X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(composition(converse(X0),top))))),converse(complement(converse(complement(composition(converse(X0),top)))))) ),[1,0],$fot(complement(converse(complement(converse(composition(top,X0))))))]]) ).
cnf(refute_0_3509,plain,
( complement(converse(complement(composition(converse(X0),top)))) != complement(converse(complement(converse(composition(top,X0)))))
| converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(converse(composition(top,X0)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(converse(X0),top))))),converse(complement(converse(complement(composition(converse(X0),top)))))) )],[refute_0_3507,refute_0_3508]) ).
cnf(refute_0_3510,plain,
converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(converse(composition(top,X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(converse(X0),top)))),complement(converse(complement(converse(composition(top,X0)))))) )],[refute_0_3506,refute_0_3509]) ).
cnf(refute_0_3511,plain,
composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),
introduced(tautology,[refl,[$fot(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))))]]) ).
cnf(refute_0_3512,plain,
( composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(complement(converse(complement(composition(converse(X0),top))))) != converse(complement(converse(complement(converse(composition(top,X0))))))
| composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[1,1],$fot(converse(complement(converse(complement(converse(composition(top,X0)))))))]]) ).
cnf(refute_0_3513,plain,
( converse(complement(converse(complement(composition(converse(X0),top))))) != converse(complement(converse(complement(converse(composition(top,X0))))))
| composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_3511,refute_0_3512]) ).
cnf(refute_0_3514,plain,
composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(converse(X0),top))))),converse(complement(converse(complement(converse(composition(top,X0))))))) )],[refute_0_3510,refute_0_3513]) ).
cnf(refute_0_3515,plain,
( composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) != composition(X0,converse(complement(converse(complement(converse(composition(top,X0)))))))
| composition(X0,top) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,top),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[1],$fot(composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))))]]) ).
cnf(refute_0_3516,plain,
( composition(X0,top) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),composition(X0,converse(complement(converse(complement(converse(composition(top,X0)))))))) )],[refute_0_3514,refute_0_3515]) ).
cnf(refute_0_3517,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
inference(resolve,[$cnf( $equal(composition(X0,top),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_3487,refute_0_3516]) ).
cnf(refute_0_3518,plain,
composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_3477,refute_0_3517]) ).
cnf(refute_0_3519,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))))))),
inference(subst,[],[refute_0_3518:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3520,plain,
join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_52:[bind(X0,$fot(top)),bind(X1,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3521,plain,
composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = join(complement(composition(X_279,top)),composition(converse(composition(X_279,top)),complement(composition(X_279,top)))),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(converse(composition(X_279,top)))),bind(X_176,$fot(complement(composition(X_279,top))))]]) ).
cnf(refute_0_3522,plain,
( composition(converse(composition(X_279,top)),complement(composition(X_279,top))) != zero
| composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),composition(converse(composition(X_279,top)),complement(composition(X_279,top))))
| composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = join(complement(composition(X_279,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))),join(complement(composition(X_279,top)),composition(converse(composition(X_279,top)),complement(composition(X_279,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3523,plain,
( composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),composition(converse(composition(X_279,top)),complement(composition(X_279,top))))
| composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = join(complement(composition(X_279,top)),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_279,top)),complement(composition(X_279,top))),zero) )],[refute_0_3379,refute_0_3522]) ).
cnf(refute_0_3524,plain,
composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = join(complement(composition(X_279,top)),zero),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))),join(complement(composition(X_279,top)),composition(converse(composition(X_279,top)),complement(composition(X_279,top))))) )],[refute_0_3521,refute_0_3523]) ).
cnf(refute_0_3525,plain,
join(one,converse(composition(X_279,top))) = converse(join(one,composition(X_279,top))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(composition(X_279,top)))]]) ).
cnf(refute_0_3526,plain,
composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) = composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))))]]) ).
cnf(refute_0_3527,plain,
( composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) != composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top)))
| join(one,converse(composition(X_279,top))) != converse(join(one,composition(X_279,top)))
| composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) = composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))),composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top)))) ),[1,0],$fot(converse(join(one,composition(X_279,top))))]]) ).
cnf(refute_0_3528,plain,
( join(one,converse(composition(X_279,top))) != converse(join(one,composition(X_279,top)))
| composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) = composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))),composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top)))) )],[refute_0_3526,refute_0_3527]) ).
cnf(refute_0_3529,plain,
composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) = composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))),
inference(resolve,[$cnf( $equal(join(one,converse(composition(X_279,top))),converse(join(one,composition(X_279,top)))) )],[refute_0_3525,refute_0_3528]) ).
cnf(refute_0_3530,plain,
composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) = join(complement(composition(X_210,top)),composition(join(converse(X_210),X_211),complement(composition(X_210,top)))),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(join(converse(X_210),X_211))),bind(X_176,$fot(complement(composition(X_210,top))))]]) ).
cnf(refute_0_3531,plain,
composition(join(converse(X0),X_175),complement(composition(X0,top))) = join(composition(converse(X0),complement(composition(X0,top))),composition(X_175,complement(composition(X0,top)))),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_175)),bind(X2,$fot(complement(composition(X0,top))))]]) ).
cnf(refute_0_3532,plain,
( composition(converse(X0),complement(composition(X0,top))) != zero
| composition(join(converse(X0),X_175),complement(composition(X0,top))) != join(composition(converse(X0),complement(composition(X0,top))),composition(X_175,complement(composition(X0,top))))
| composition(join(converse(X0),X_175),complement(composition(X0,top))) = join(zero,composition(X_175,complement(composition(X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X0),X_175),complement(composition(X0,top))),join(composition(converse(X0),complement(composition(X0,top))),composition(X_175,complement(composition(X0,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3533,plain,
( composition(join(converse(X0),X_175),complement(composition(X0,top))) != join(composition(converse(X0),complement(composition(X0,top))),composition(X_175,complement(composition(X0,top))))
| composition(join(converse(X0),X_175),complement(composition(X0,top))) = join(zero,composition(X_175,complement(composition(X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(X0,top))),zero) )],[refute_0_3224,refute_0_3532]) ).
cnf(refute_0_3534,plain,
composition(join(converse(X0),X_175),complement(composition(X0,top))) = join(zero,composition(X_175,complement(composition(X0,top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),X_175),complement(composition(X0,top))),join(composition(converse(X0),complement(composition(X0,top))),composition(X_175,complement(composition(X0,top))))) )],[refute_0_3531,refute_0_3533]) ).
cnf(refute_0_3535,plain,
join(zero,composition(X_175,complement(composition(X0,top)))) = composition(X_175,complement(composition(X0,top))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(X_175,complement(composition(X0,top)))))]]) ).
cnf(refute_0_3536,plain,
( composition(join(converse(X0),X_175),complement(composition(X0,top))) != join(zero,composition(X_175,complement(composition(X0,top))))
| join(zero,composition(X_175,complement(composition(X0,top)))) != composition(X_175,complement(composition(X0,top)))
| composition(join(converse(X0),X_175),complement(composition(X0,top))) = composition(X_175,complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(X0),X_175),complement(composition(X0,top))),composition(X_175,complement(composition(X0,top)))) ),[0],$fot(join(zero,composition(X_175,complement(composition(X0,top)))))]]) ).
cnf(refute_0_3537,plain,
( composition(join(converse(X0),X_175),complement(composition(X0,top))) != join(zero,composition(X_175,complement(composition(X0,top))))
| composition(join(converse(X0),X_175),complement(composition(X0,top))) = composition(X_175,complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_175,complement(composition(X0,top)))),composition(X_175,complement(composition(X0,top)))) )],[refute_0_3535,refute_0_3536]) ).
cnf(refute_0_3538,plain,
composition(join(converse(X0),X_175),complement(composition(X0,top))) = composition(X_175,complement(composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),X_175),complement(composition(X0,top))),join(zero,composition(X_175,complement(composition(X0,top))))) )],[refute_0_3534,refute_0_3537]) ).
cnf(refute_0_3539,plain,
composition(join(converse(X_210),X_211),complement(composition(X_210,top))) = composition(X_211,complement(composition(X_210,top))),
inference(subst,[],[refute_0_3538:[bind(X0,$fot(X_210)),bind(X_175,$fot(X_211))]]) ).
cnf(refute_0_3540,plain,
( composition(join(converse(X_210),X_211),complement(composition(X_210,top))) != composition(X_211,complement(composition(X_210,top)))
| composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))
| composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) = join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))),join(complement(composition(X_210,top)),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))) ),[1,1],$fot(composition(X_211,complement(composition(X_210,top))))]]) ).
cnf(refute_0_3541,plain,
( composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))
| composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) = join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_210),X_211),complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))) )],[refute_0_3539,refute_0_3540]) ).
cnf(refute_0_3542,plain,
composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) = join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))),
inference(resolve,[$cnf( $equal(composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))),join(complement(composition(X_210,top)),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))) )],[refute_0_3530,refute_0_3541]) ).
cnf(refute_0_3543,plain,
composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = join(X_176,composition(join(converse(complement(composition(X_176,top))),X_193),X_176)),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(join(converse(complement(composition(X_176,top))),X_193)))]]) ).
cnf(refute_0_3544,plain,
composition(join(converse(complement(composition(X_176,top))),X_193),X_176) = composition(X_193,X_176),
inference(subst,[],[refute_0_3251:[bind(X_175,$fot(X_193))]]) ).
cnf(refute_0_3545,plain,
( composition(join(converse(complement(composition(X_176,top))),X_193),X_176) != composition(X_193,X_176)
| composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != join(X_176,composition(join(converse(complement(composition(X_176,top))),X_193),X_176))
| composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = join(X_176,composition(X_193,X_176)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176),join(X_176,composition(join(converse(complement(composition(X_176,top))),X_193),X_176))) ),[1,1],$fot(composition(X_193,X_176))]]) ).
cnf(refute_0_3546,plain,
( composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != join(X_176,composition(join(converse(complement(composition(X_176,top))),X_193),X_176))
| composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = join(X_176,composition(X_193,X_176)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_176,top))),X_193),X_176),composition(X_193,X_176)) )],[refute_0_3544,refute_0_3545]) ).
cnf(refute_0_3547,plain,
composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = join(X_176,composition(X_193,X_176)),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176),join(X_176,composition(join(converse(complement(composition(X_176,top))),X_193),X_176))) )],[refute_0_3543,refute_0_3546]) ).
cnf(refute_0_3548,plain,
composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = join(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X1,X2)),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(join(X_191,converse(complement(composition(X2,top))))))]]) ).
cnf(refute_0_3549,plain,
composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = join(composition(X_174,X_176),composition(converse(complement(composition(X_176,top))),X_176)),
inference(subst,[],[refute_0_1606:[bind(X0,$fot(X_174)),bind(X1,$fot(converse(complement(composition(X_176,top))))),bind(X2,$fot(X_176))]]) ).
cnf(refute_0_3550,plain,
( composition(converse(complement(composition(X_176,top))),X_176) != zero
| composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) != join(composition(X_174,X_176),composition(converse(complement(composition(X_176,top))),X_176))
| composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = join(composition(X_174,X_176),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_174,converse(complement(composition(X_176,top)))),X_176),join(composition(X_174,X_176),composition(converse(complement(composition(X_176,top))),X_176))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3551,plain,
( composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) != join(composition(X_174,X_176),composition(converse(complement(composition(X_176,top))),X_176))
| composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = join(composition(X_174,X_176),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_176,top))),X_176),zero) )],[refute_0_3244,refute_0_3550]) ).
cnf(refute_0_3552,plain,
composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = join(composition(X_174,X_176),zero),
inference(resolve,[$cnf( $equal(composition(join(X_174,converse(complement(composition(X_176,top)))),X_176),join(composition(X_174,X_176),composition(converse(complement(composition(X_176,top))),X_176))) )],[refute_0_3549,refute_0_3551]) ).
cnf(refute_0_3553,plain,
join(zero,composition(X_174,X_176)) = composition(X_174,X_176),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(composition(X_174,X_176)))]]) ).
cnf(refute_0_3554,plain,
join(composition(X_174,X_176),zero) = join(zero,composition(X_174,X_176)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_174,X_176))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_3555,plain,
( join(composition(X_174,X_176),zero) != join(zero,composition(X_174,X_176))
| join(zero,composition(X_174,X_176)) != composition(X_174,X_176)
| join(composition(X_174,X_176),zero) = composition(X_174,X_176) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(composition(X_174,X_176),zero))),bind(Y,$fot(join(zero,composition(X_174,X_176)))),bind(Z,$fot(composition(X_174,X_176)))]]) ).
cnf(refute_0_3556,plain,
( join(zero,composition(X_174,X_176)) != composition(X_174,X_176)
| join(composition(X_174,X_176),zero) = composition(X_174,X_176) ),
inference(resolve,[$cnf( $equal(join(composition(X_174,X_176),zero),join(zero,composition(X_174,X_176))) )],[refute_0_3554,refute_0_3555]) ).
cnf(refute_0_3557,plain,
join(composition(X_174,X_176),zero) = composition(X_174,X_176),
inference(resolve,[$cnf( $equal(join(zero,composition(X_174,X_176)),composition(X_174,X_176)) )],[refute_0_3553,refute_0_3556]) ).
cnf(refute_0_3558,plain,
( composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) != join(composition(X_174,X_176),zero)
| join(composition(X_174,X_176),zero) != composition(X_174,X_176)
| composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = composition(X_174,X_176) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_174,converse(complement(composition(X_176,top)))),X_176),composition(X_174,X_176)) ),[0],$fot(join(composition(X_174,X_176),zero))]]) ).
cnf(refute_0_3559,plain,
( composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) != join(composition(X_174,X_176),zero)
| composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = composition(X_174,X_176) ),
inference(resolve,[$cnf( $equal(join(composition(X_174,X_176),zero),composition(X_174,X_176)) )],[refute_0_3557,refute_0_3558]) ).
cnf(refute_0_3560,plain,
composition(join(X_174,converse(complement(composition(X_176,top)))),X_176) = composition(X_174,X_176),
inference(resolve,[$cnf( $equal(composition(join(X_174,converse(complement(composition(X_176,top)))),X_176),join(composition(X_174,X_176),zero)) )],[refute_0_3552,refute_0_3559]) ).
cnf(refute_0_3561,plain,
composition(join(X_191,converse(complement(composition(X2,top)))),X2) = composition(X_191,X2),
inference(subst,[],[refute_0_3560:[bind(X_174,$fot(X_191)),bind(X_176,$fot(X2))]]) ).
cnf(refute_0_3562,plain,
( composition(join(X_191,converse(complement(composition(X2,top)))),X2) != composition(X_191,X2)
| composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != join(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X1,X2))
| composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_191,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),join(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X1,X2))) ),[1,0],$fot(composition(X_191,X2))]]) ).
cnf(refute_0_3563,plain,
( composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != join(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X1,X2))
| composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_191,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X_191,X2)) )],[refute_0_3561,refute_0_3562]) ).
cnf(refute_0_3564,plain,
composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_191,X2),composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),join(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X1,X2))) )],[refute_0_3548,refute_0_3563]) ).
cnf(refute_0_3565,plain,
join(join(X_191,converse(complement(composition(X2,top)))),X1) = join(X_191,join(converse(complement(composition(X2,top))),X1)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_191)),bind(X1,$fot(converse(complement(composition(X2,top))))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3566,plain,
composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),
introduced(tautology,[refl,[$fot(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2))]]) ).
cnf(refute_0_3567,plain,
( composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2)
| join(join(X_191,converse(complement(composition(X2,top)))),X1) != join(X_191,join(converse(complement(composition(X2,top))),X1))
| composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2)) ),[1,0],$fot(join(X_191,join(converse(complement(composition(X2,top))),X1)))]]) ).
cnf(refute_0_3568,plain,
( join(join(X_191,converse(complement(composition(X2,top)))),X1) != join(X_191,join(converse(complement(composition(X2,top))),X1))
| composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2)) )],[refute_0_3566,refute_0_3567]) ).
cnf(refute_0_3569,plain,
composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2),
inference(resolve,[$cnf( $equal(join(join(X_191,converse(complement(composition(X2,top)))),X1),join(X_191,join(converse(complement(composition(X2,top))),X1))) )],[refute_0_3565,refute_0_3568]) ).
cnf(refute_0_3570,plain,
( composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2)
| composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_191,X2),composition(X1,X2))
| composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) = join(composition(X_191,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),join(composition(X_191,X2),composition(X1,X2))) ),[0],$fot(composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2))]]) ).
cnf(refute_0_3571,plain,
( composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_191,X2),composition(X1,X2))
| composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) = join(composition(X_191,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2)) )],[refute_0_3569,refute_0_3570]) ).
cnf(refute_0_3572,plain,
join(composition(X_191,X2),composition(X1,X2)) = composition(join(X_191,X1),X2),
inference(subst,[],[refute_0_2234:[bind(X0,$fot(X_191))]]) ).
cnf(refute_0_3573,plain,
( composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) != join(composition(X_191,X2),composition(X1,X2))
| join(composition(X_191,X2),composition(X1,X2)) != composition(join(X_191,X1),X2)
| composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_191,X1),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2),composition(join(X_191,X1),X2)) ),[0],$fot(join(composition(X_191,X2),composition(X1,X2)))]]) ).
cnf(refute_0_3574,plain,
( composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) != join(composition(X_191,X2),composition(X1,X2))
| composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_191,X1),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_191,X2),composition(X1,X2)),composition(join(X_191,X1),X2)) )],[refute_0_3572,refute_0_3573]) ).
cnf(refute_0_3575,plain,
( composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_191,X2),composition(X1,X2))
| composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_191,X1),X2) ),
inference(resolve,[$cnf( $equal(composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2),join(composition(X_191,X2),composition(X1,X2))) )],[refute_0_3571,refute_0_3574]) ).
cnf(refute_0_3576,plain,
composition(join(X_191,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_191,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X2,top)))),X1),X2),join(composition(X_191,X2),composition(X1,X2))) )],[refute_0_3564,refute_0_3575]) ).
cnf(refute_0_3577,plain,
composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176) = composition(join(one,X_193),X_176),
inference(subst,[],[refute_0_3576:[bind(X1,$fot(X_193)),bind(X2,$fot(X_176)),bind(X_191,$fot(one))]]) ).
cnf(refute_0_3578,plain,
composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) = join(X_176,composition(join(X_191,converse(complement(composition(X_176,top)))),X_176)),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(join(X_191,converse(complement(composition(X_176,top))))))]]) ).
cnf(refute_0_3579,plain,
composition(join(X_191,converse(complement(composition(X_176,top)))),X_176) = composition(X_191,X_176),
inference(subst,[],[refute_0_3560:[bind(X_174,$fot(X_191))]]) ).
cnf(refute_0_3580,plain,
( composition(join(X_191,converse(complement(composition(X_176,top)))),X_176) != composition(X_191,X_176)
| composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) != join(X_176,composition(join(X_191,converse(complement(composition(X_176,top)))),X_176))
| composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) = join(X_176,composition(X_191,X_176)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176),join(X_176,composition(join(X_191,converse(complement(composition(X_176,top)))),X_176))) ),[1,1],$fot(composition(X_191,X_176))]]) ).
cnf(refute_0_3581,plain,
( composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) != join(X_176,composition(join(X_191,converse(complement(composition(X_176,top)))),X_176))
| composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) = join(X_176,composition(X_191,X_176)) ),
inference(resolve,[$cnf( $equal(composition(join(X_191,converse(complement(composition(X_176,top)))),X_176),composition(X_191,X_176)) )],[refute_0_3579,refute_0_3580]) ).
cnf(refute_0_3582,plain,
composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) = join(X_176,composition(X_191,X_176)),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176),join(X_176,composition(join(X_191,converse(complement(composition(X_176,top)))),X_176))) )],[refute_0_3578,refute_0_3581]) ).
cnf(refute_0_3583,plain,
join(X1,join(X1,composition(X_186,X1))) = join(X1,composition(X_186,X1)),
inference(subst,[],[refute_0_1636:[bind(X2,$fot(composition(X_186,X1)))]]) ).
cnf(refute_0_3584,plain,
composition(join(X_186,one),X1) = join(X1,composition(X_186,X1)),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(X_186)),bind(X_176,$fot(X1))]]) ).
cnf(refute_0_3585,plain,
( composition(join(X_186,one),X1) != join(X1,composition(X_186,X1))
| join(X1,composition(X_186,X1)) = composition(join(X_186,one),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_186,one),X1))),bind(Y,$fot(join(X1,composition(X_186,X1))))]]) ).
cnf(refute_0_3586,plain,
join(X1,composition(X_186,X1)) = composition(join(X_186,one),X1),
inference(resolve,[$cnf( $equal(composition(join(X_186,one),X1),join(X1,composition(X_186,X1))) )],[refute_0_3584,refute_0_3585]) ).
cnf(refute_0_3587,plain,
( join(X1,composition(X_186,X1)) != composition(join(X_186,one),X1)
| join(X1,join(X1,composition(X_186,X1))) != join(X1,composition(X_186,X1))
| join(X1,composition(join(X_186,one),X1)) = join(X1,composition(X_186,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,composition(X_186,X1))),join(X1,composition(X_186,X1))) ),[0,1],$fot(composition(join(X_186,one),X1))]]) ).
cnf(refute_0_3588,plain,
( join(X1,join(X1,composition(X_186,X1))) != join(X1,composition(X_186,X1))
| join(X1,composition(join(X_186,one),X1)) = join(X1,composition(X_186,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,composition(X_186,X1)),composition(join(X_186,one),X1)) )],[refute_0_3586,refute_0_3587]) ).
cnf(refute_0_3589,plain,
join(X1,composition(join(X_186,one),X1)) = join(X1,composition(X_186,X1)),
inference(resolve,[$cnf( $equal(join(X1,join(X1,composition(X_186,X1))),join(X1,composition(X_186,X1))) )],[refute_0_3583,refute_0_3588]) ).
cnf(refute_0_3590,plain,
join(one,join(X_186,one)) = join(one,X_186),
inference(subst,[],[refute_0_2657:[bind(X1,$fot(one)),bind(X_134,$fot(X_186))]]) ).
cnf(refute_0_3591,plain,
composition(join(one,join(X_186,one)),X1) = composition(join(one,join(X_186,one)),X1),
introduced(tautology,[refl,[$fot(composition(join(one,join(X_186,one)),X1))]]) ).
cnf(refute_0_3592,plain,
( composition(join(one,join(X_186,one)),X1) != composition(join(one,join(X_186,one)),X1)
| join(one,join(X_186,one)) != join(one,X_186)
| composition(join(one,join(X_186,one)),X1) = composition(join(one,X_186),X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_186,one)),X1),composition(join(one,join(X_186,one)),X1)) ),[1,0],$fot(join(one,X_186))]]) ).
cnf(refute_0_3593,plain,
( join(one,join(X_186,one)) != join(one,X_186)
| composition(join(one,join(X_186,one)),X1) = composition(join(one,X_186),X1) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_186,one)),X1),composition(join(one,join(X_186,one)),X1)) )],[refute_0_3591,refute_0_3592]) ).
cnf(refute_0_3594,plain,
composition(join(one,join(X_186,one)),X1) = composition(join(one,X_186),X1),
inference(resolve,[$cnf( $equal(join(one,join(X_186,one)),join(one,X_186)) )],[refute_0_3590,refute_0_3593]) ).
cnf(refute_0_3595,plain,
composition(join(join(X_186,one),one),X1) = composition(join(one,join(X_186,one)),X1),
inference(subst,[],[refute_0_2240:[bind(X_174,$fot(join(X_186,one))),bind(X_175,$fot(one)),bind(X_176,$fot(X1))]]) ).
cnf(refute_0_3596,plain,
join(X1,composition(join(X_186,one),X1)) = composition(join(join(X_186,one),one),X1),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(join(X_186,one))),bind(X_176,$fot(X1))]]) ).
cnf(refute_0_3597,plain,
( composition(join(join(X_186,one),one),X1) != composition(join(one,join(X_186,one)),X1)
| join(X1,composition(join(X_186,one),X1)) != composition(join(join(X_186,one),one),X1)
| join(X1,composition(join(X_186,one),X1)) = composition(join(one,join(X_186,one)),X1) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X1,composition(join(X_186,one),X1)))),bind(Y,$fot(composition(join(join(X_186,one),one),X1))),bind(Z,$fot(composition(join(one,join(X_186,one)),X1)))]]) ).
cnf(refute_0_3598,plain,
( composition(join(join(X_186,one),one),X1) != composition(join(one,join(X_186,one)),X1)
| join(X1,composition(join(X_186,one),X1)) = composition(join(one,join(X_186,one)),X1) ),
inference(resolve,[$cnf( $equal(join(X1,composition(join(X_186,one),X1)),composition(join(join(X_186,one),one),X1)) )],[refute_0_3596,refute_0_3597]) ).
cnf(refute_0_3599,plain,
join(X1,composition(join(X_186,one),X1)) = composition(join(one,join(X_186,one)),X1),
inference(resolve,[$cnf( $equal(composition(join(join(X_186,one),one),X1),composition(join(one,join(X_186,one)),X1)) )],[refute_0_3595,refute_0_3598]) ).
cnf(refute_0_3600,plain,
( composition(join(one,join(X_186,one)),X1) != composition(join(one,X_186),X1)
| join(X1,composition(join(X_186,one),X1)) != composition(join(one,join(X_186,one)),X1)
| join(X1,composition(join(X_186,one),X1)) = composition(join(one,X_186),X1) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X1,composition(join(X_186,one),X1)))),bind(Y,$fot(composition(join(one,join(X_186,one)),X1))),bind(Z,$fot(composition(join(one,X_186),X1)))]]) ).
cnf(refute_0_3601,plain,
( composition(join(one,join(X_186,one)),X1) != composition(join(one,X_186),X1)
| join(X1,composition(join(X_186,one),X1)) = composition(join(one,X_186),X1) ),
inference(resolve,[$cnf( $equal(join(X1,composition(join(X_186,one),X1)),composition(join(one,join(X_186,one)),X1)) )],[refute_0_3599,refute_0_3600]) ).
cnf(refute_0_3602,plain,
join(X1,composition(join(X_186,one),X1)) = composition(join(one,X_186),X1),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_186,one)),X1),composition(join(one,X_186),X1)) )],[refute_0_3594,refute_0_3601]) ).
cnf(refute_0_3603,plain,
( join(X1,composition(join(X_186,one),X1)) != composition(join(one,X_186),X1)
| join(X1,composition(join(X_186,one),X1)) != join(X1,composition(X_186,X1))
| composition(join(one,X_186),X1) = join(X1,composition(X_186,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,composition(join(X_186,one),X1)),join(X1,composition(X_186,X1))) ),[0],$fot(composition(join(one,X_186),X1))]]) ).
cnf(refute_0_3604,plain,
( join(X1,composition(join(X_186,one),X1)) != join(X1,composition(X_186,X1))
| composition(join(one,X_186),X1) = join(X1,composition(X_186,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,composition(join(X_186,one),X1)),composition(join(one,X_186),X1)) )],[refute_0_3602,refute_0_3603]) ).
cnf(refute_0_3605,plain,
( composition(join(one,X_186),X1) != join(X1,composition(X_186,X1))
| join(X1,composition(X_186,X1)) != composition(join(X_186,one),X1)
| composition(join(one,X_186),X1) = composition(join(X_186,one),X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_186),X1),composition(join(X_186,one),X1)) ),[0],$fot(join(X1,composition(X_186,X1)))]]) ).
cnf(refute_0_3606,plain,
( composition(join(one,X_186),X1) != join(X1,composition(X_186,X1))
| composition(join(one,X_186),X1) = composition(join(X_186,one),X1) ),
inference(resolve,[$cnf( $equal(join(X1,composition(X_186,X1)),composition(join(X_186,one),X1)) )],[refute_0_3586,refute_0_3605]) ).
cnf(refute_0_3607,plain,
( join(X1,composition(join(X_186,one),X1)) != join(X1,composition(X_186,X1))
| composition(join(one,X_186),X1) = composition(join(X_186,one),X1) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_186),X1),join(X1,composition(X_186,X1))) )],[refute_0_3604,refute_0_3606]) ).
cnf(refute_0_3608,plain,
composition(join(one,X_186),X1) = composition(join(X_186,one),X1),
inference(resolve,[$cnf( $equal(join(X1,composition(join(X_186,one),X1)),join(X1,composition(X_186,X1))) )],[refute_0_3589,refute_0_3607]) ).
cnf(refute_0_3609,plain,
( composition(join(one,X_186),X1) != composition(join(X_186,one),X1)
| composition(join(X_186,one),X1) = composition(join(one,X_186),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X_186),X1))),bind(Y,$fot(composition(join(X_186,one),X1)))]]) ).
cnf(refute_0_3610,plain,
composition(join(X_186,one),X1) = composition(join(one,X_186),X1),
inference(resolve,[$cnf( $equal(composition(join(one,X_186),X1),composition(join(X_186,one),X1)) )],[refute_0_3608,refute_0_3609]) ).
cnf(refute_0_3611,plain,
composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) = composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176),
inference(subst,[],[refute_0_3610:[bind(X1,$fot(X_176)),bind(X_186,$fot(join(X_191,converse(complement(composition(X_176,top))))))]]) ).
cnf(refute_0_3612,plain,
( composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) != composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176)
| composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) != join(X_176,composition(X_191,X_176))
| composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = join(X_176,composition(X_191,X_176)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176),join(X_176,composition(X_191,X_176))) ),[0],$fot(composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176))]]) ).
cnf(refute_0_3613,plain,
( composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) != join(X_176,composition(X_191,X_176))
| composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = join(X_176,composition(X_191,X_176)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176),composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176)) )],[refute_0_3611,refute_0_3612]) ).
cnf(refute_0_3614,plain,
join(X_176,composition(X_191,X_176)) = composition(join(X_191,one),X_176),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(X_191))]]) ).
cnf(refute_0_3615,plain,
( composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) != join(X_176,composition(X_191,X_176))
| join(X_176,composition(X_191,X_176)) != composition(join(X_191,one),X_176)
| composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = composition(join(X_191,one),X_176) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176),composition(join(X_191,one),X_176)) ),[0],$fot(join(X_176,composition(X_191,X_176)))]]) ).
cnf(refute_0_3616,plain,
( composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) != join(X_176,composition(X_191,X_176))
| composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = composition(join(X_191,one),X_176) ),
inference(resolve,[$cnf( $equal(join(X_176,composition(X_191,X_176)),composition(join(X_191,one),X_176)) )],[refute_0_3614,refute_0_3615]) ).
cnf(refute_0_3617,plain,
( composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176) != join(X_176,composition(X_191,X_176))
| composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = composition(join(X_191,one),X_176) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176),join(X_176,composition(X_191,X_176))) )],[refute_0_3613,refute_0_3616]) ).
cnf(refute_0_3618,plain,
composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = composition(join(X_191,one),X_176),
inference(resolve,[$cnf( $equal(composition(join(join(X_191,converse(complement(composition(X_176,top)))),one),X_176),join(X_176,composition(X_191,X_176))) )],[refute_0_3582,refute_0_3617]) ).
cnf(refute_0_3619,plain,
composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(join(X_191,converse(complement(composition(X2,top)))),X2)),
inference(subst,[],[refute_0_1606:[bind(X1,$fot(join(X_191,converse(complement(composition(X2,top))))))]]) ).
cnf(refute_0_3620,plain,
( composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(join(X_191,converse(complement(composition(X2,top)))),X2))
| composition(join(X_191,converse(complement(composition(X2,top)))),X2) != composition(X_191,X2)
| composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_191,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(join(X_191,converse(complement(composition(X2,top)))),X2))) ),[1,1],$fot(composition(X_191,X2))]]) ).
cnf(refute_0_3621,plain,
( composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(join(X_191,converse(complement(composition(X2,top)))),X2))
| composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_191,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(X_191,converse(complement(composition(X2,top)))),X2),composition(X_191,X2)) )],[refute_0_3561,refute_0_3620]) ).
cnf(refute_0_3622,plain,
composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_191,X2)),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(join(X_191,converse(complement(composition(X2,top)))),X2))) )],[refute_0_3619,refute_0_3621]) ).
cnf(refute_0_3623,plain,
join(composition(X0,X2),composition(X_191,X2)) = composition(join(X0,X_191),X2),
inference(subst,[],[refute_0_2234:[bind(X1,$fot(X_191))]]) ).
cnf(refute_0_3624,plain,
( composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(X_191,X2))
| join(composition(X0,X2),composition(X_191,X2)) != composition(join(X0,X_191),X2)
| composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_191),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2),composition(join(X0,X_191),X2)) ),[0],$fot(join(composition(X0,X2),composition(X_191,X2)))]]) ).
cnf(refute_0_3625,plain,
( composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(X_191,X2))
| composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_191),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X_191,X2)),composition(join(X0,X_191),X2)) )],[refute_0_3623,refute_0_3624]) ).
cnf(refute_0_3626,plain,
composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_191),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_191,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(X_191,X2))) )],[refute_0_3622,refute_0_3625]) ).
cnf(refute_0_3627,plain,
composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) = composition(join(one,X_191),X_176),
inference(subst,[],[refute_0_3626:[bind(X0,$fot(one)),bind(X2,$fot(X_176))]]) ).
cnf(refute_0_3628,plain,
( composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) != composition(join(X_191,one),X_176)
| composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) != composition(join(one,X_191),X_176)
| composition(join(one,X_191),X_176) = composition(join(X_191,one),X_176) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176),composition(join(X_191,one),X_176)) ),[0],$fot(composition(join(one,X_191),X_176))]]) ).
cnf(refute_0_3629,plain,
( composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176) != composition(join(X_191,one),X_176)
| composition(join(one,X_191),X_176) = composition(join(X_191,one),X_176) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176),composition(join(one,X_191),X_176)) )],[refute_0_3627,refute_0_3628]) ).
cnf(refute_0_3630,plain,
composition(join(one,X_191),X_176) = composition(join(X_191,one),X_176),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_191,converse(complement(composition(X_176,top))))),X_176),composition(join(X_191,one),X_176)) )],[refute_0_3618,refute_0_3629]) ).
cnf(refute_0_3631,plain,
( composition(join(one,X_191),X_176) != composition(join(X_191,one),X_176)
| composition(join(X_191,one),X_176) = composition(join(one,X_191),X_176) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X_191),X_176))),bind(Y,$fot(composition(join(X_191,one),X_176)))]]) ).
cnf(refute_0_3632,plain,
composition(join(X_191,one),X_176) = composition(join(one,X_191),X_176),
inference(resolve,[$cnf( $equal(composition(join(one,X_191),X_176),composition(join(X_191,one),X_176)) )],[refute_0_3630,refute_0_3631]) ).
cnf(refute_0_3633,plain,
composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176),
inference(subst,[],[refute_0_3632:[bind(X_191,$fot(join(converse(complement(composition(X_176,top))),X_193)))]]) ).
cnf(refute_0_3634,plain,
( composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176)
| composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176) != composition(join(one,X_193),X_176)
| composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = composition(join(one,X_193),X_176) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176))),bind(Y,$fot(composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176))),bind(Z,$fot(composition(join(one,X_193),X_176)))]]) ).
cnf(refute_0_3635,plain,
( composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176) != composition(join(one,X_193),X_176)
| composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = composition(join(one,X_193),X_176) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176),composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176)) )],[refute_0_3633,refute_0_3634]) ).
cnf(refute_0_3636,plain,
composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) = composition(join(one,X_193),X_176),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(complement(composition(X_176,top))),X_193)),X_176),composition(join(one,X_193),X_176)) )],[refute_0_3577,refute_0_3635]) ).
cnf(refute_0_3637,plain,
( composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != composition(join(one,X_193),X_176)
| composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != join(X_176,composition(X_193,X_176))
| composition(join(one,X_193),X_176) = join(X_176,composition(X_193,X_176)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176),join(X_176,composition(X_193,X_176))) ),[0],$fot(composition(join(one,X_193),X_176))]]) ).
cnf(refute_0_3638,plain,
( composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != join(X_176,composition(X_193,X_176))
| composition(join(one,X_193),X_176) = join(X_176,composition(X_193,X_176)) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176),composition(join(one,X_193),X_176)) )],[refute_0_3636,refute_0_3637]) ).
cnf(refute_0_3639,plain,
join(X_176,composition(X_193,X_176)) = composition(join(X_193,one),X_176),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(X_193))]]) ).
cnf(refute_0_3640,plain,
( composition(join(one,X_193),X_176) != join(X_176,composition(X_193,X_176))
| join(X_176,composition(X_193,X_176)) != composition(join(X_193,one),X_176)
| composition(join(one,X_193),X_176) = composition(join(X_193,one),X_176) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_193),X_176),composition(join(X_193,one),X_176)) ),[0],$fot(join(X_176,composition(X_193,X_176)))]]) ).
cnf(refute_0_3641,plain,
( composition(join(one,X_193),X_176) != join(X_176,composition(X_193,X_176))
| composition(join(one,X_193),X_176) = composition(join(X_193,one),X_176) ),
inference(resolve,[$cnf( $equal(join(X_176,composition(X_193,X_176)),composition(join(X_193,one),X_176)) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
( composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176) != join(X_176,composition(X_193,X_176))
| composition(join(one,X_193),X_176) = composition(join(X_193,one),X_176) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_193),X_176),join(X_176,composition(X_193,X_176))) )],[refute_0_3638,refute_0_3641]) ).
cnf(refute_0_3643,plain,
composition(join(one,X_193),X_176) = composition(join(X_193,one),X_176),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_176,top))),X_193),one),X_176),join(X_176,composition(X_193,X_176))) )],[refute_0_3547,refute_0_3642]) ).
cnf(refute_0_3644,plain,
( composition(join(one,X_193),X_176) != composition(join(X_193,one),X_176)
| composition(join(X_193,one),X_176) = composition(join(one,X_193),X_176) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X_193),X_176))),bind(Y,$fot(composition(join(X_193,one),X_176)))]]) ).
cnf(refute_0_3645,plain,
composition(join(X_193,one),X_176) = composition(join(one,X_193),X_176),
inference(resolve,[$cnf( $equal(composition(join(one,X_193),X_176),composition(join(X_193,one),X_176)) )],[refute_0_3643,refute_0_3644]) ).
cnf(refute_0_3646,plain,
composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) = composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))),
inference(subst,[],[refute_0_3645:[bind(X_176,$fot(complement(composition(X_210,top)))),bind(X_193,$fot(join(converse(X_210),X_211)))]]) ).
cnf(refute_0_3647,plain,
( composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) != composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top)))
| composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))
| composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))),join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))) ),[0],$fot(composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))))]]) ).
cnf(refute_0_3648,plain,
( composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))
| composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))),composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top)))) )],[refute_0_3646,refute_0_3647]) ).
cnf(refute_0_3649,plain,
join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))) = composition(join(X_211,one),complement(composition(X_210,top))),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(X_211)),bind(X_176,$fot(complement(composition(X_210,top))))]]) ).
cnf(refute_0_3650,plain,
( composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))
| join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))) != composition(join(X_211,one),complement(composition(X_210,top)))
| composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))),composition(join(X_211,one),complement(composition(X_210,top)))) ),[0],$fot(join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))))]]) ).
cnf(refute_0_3651,plain,
( composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))
| composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top)))),composition(join(X_211,one),complement(composition(X_210,top)))) )],[refute_0_3649,refute_0_3650]) ).
cnf(refute_0_3652,plain,
( composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))) != join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))
| composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))),join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))) )],[refute_0_3648,refute_0_3651]) ).
cnf(refute_0_3653,plain,
composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))),
inference(resolve,[$cnf( $equal(composition(join(join(converse(X_210),X_211),one),complement(composition(X_210,top))),join(complement(composition(X_210,top)),composition(X_211,complement(composition(X_210,top))))) )],[refute_0_3542,refute_0_3652]) ).
cnf(refute_0_3654,plain,
composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = join(composition(X0,complement(composition(X_210,top))),composition(join(converse(X_210),X_211),complement(composition(X_210,top)))),
inference(subst,[],[refute_0_1606:[bind(X1,$fot(join(converse(X_210),X_211))),bind(X2,$fot(complement(composition(X_210,top))))]]) ).
cnf(refute_0_3655,plain,
( composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) != join(composition(X0,complement(composition(X_210,top))),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))
| composition(join(converse(X_210),X_211),complement(composition(X_210,top))) != composition(X_211,complement(composition(X_210,top)))
| composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))),join(composition(X0,complement(composition(X_210,top))),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))) ),[1,1],$fot(composition(X_211,complement(composition(X_210,top))))]]) ).
cnf(refute_0_3656,plain,
( composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) != join(composition(X0,complement(composition(X_210,top))),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))
| composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_210),X_211),complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))) )],[refute_0_3539,refute_0_3655]) ).
cnf(refute_0_3657,plain,
composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))),
inference(resolve,[$cnf( $equal(composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))),join(composition(X0,complement(composition(X_210,top))),composition(join(converse(X_210),X_211),complement(composition(X_210,top))))) )],[refute_0_3654,refute_0_3656]) ).
cnf(refute_0_3658,plain,
join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))) = composition(join(X0,X_211),complement(composition(X_210,top))),
inference(subst,[],[refute_0_2234:[bind(X1,$fot(X_211)),bind(X2,$fot(complement(composition(X_210,top))))]]) ).
cnf(refute_0_3659,plain,
( composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) != join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top))))
| join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))) != composition(join(X0,X_211),complement(composition(X_210,top)))
| composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X0,X_211),complement(composition(X_210,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))),composition(join(X0,X_211),complement(composition(X_210,top)))) ),[0],$fot(join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))))]]) ).
cnf(refute_0_3660,plain,
( composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) != join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top))))
| composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X0,X_211),complement(composition(X_210,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top)))),composition(join(X0,X_211),complement(composition(X_210,top)))) )],[refute_0_3658,refute_0_3659]) ).
cnf(refute_0_3661,plain,
composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(X0,X_211),complement(composition(X_210,top))),
inference(resolve,[$cnf( $equal(composition(join(X0,join(converse(X_210),X_211)),complement(composition(X_210,top))),join(composition(X0,complement(composition(X_210,top))),composition(X_211,complement(composition(X_210,top))))) )],[refute_0_3657,refute_0_3660]) ).
cnf(refute_0_3662,plain,
composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) = composition(join(one,X_211),complement(composition(X_210,top))),
inference(subst,[],[refute_0_3661:[bind(X0,$fot(one))]]) ).
cnf(refute_0_3663,plain,
( composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) != composition(join(X_211,one),complement(composition(X_210,top)))
| composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) != composition(join(one,X_211),complement(composition(X_210,top)))
| composition(join(one,X_211),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))),composition(join(X_211,one),complement(composition(X_210,top)))) ),[0],$fot(composition(join(one,X_211),complement(composition(X_210,top))))]]) ).
cnf(refute_0_3664,plain,
( composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))) != composition(join(X_211,one),complement(composition(X_210,top)))
| composition(join(one,X_211),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))),composition(join(one,X_211),complement(composition(X_210,top)))) )],[refute_0_3662,refute_0_3663]) ).
cnf(refute_0_3665,plain,
composition(join(one,X_211),complement(composition(X_210,top))) = composition(join(X_211,one),complement(composition(X_210,top))),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(X_210),X_211)),complement(composition(X_210,top))),composition(join(X_211,one),complement(composition(X_210,top)))) )],[refute_0_3653,refute_0_3664]) ).
cnf(refute_0_3666,plain,
( composition(join(one,X_211),complement(composition(X_210,top))) != composition(join(X_211,one),complement(composition(X_210,top)))
| composition(join(X_211,one),complement(composition(X_210,top))) = composition(join(one,X_211),complement(composition(X_210,top))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X_211),complement(composition(X_210,top))))),bind(Y,$fot(composition(join(X_211,one),complement(composition(X_210,top)))))]]) ).
cnf(refute_0_3667,plain,
composition(join(X_211,one),complement(composition(X_210,top))) = composition(join(one,X_211),complement(composition(X_210,top))),
inference(resolve,[$cnf( $equal(composition(join(one,X_211),complement(composition(X_210,top))),composition(join(X_211,one),complement(composition(X_210,top)))) )],[refute_0_3665,refute_0_3666]) ).
cnf(refute_0_3668,plain,
composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))),
inference(subst,[],[refute_0_3667:[bind(X_210,$fot(X_279)),bind(X_211,$fot(converse(composition(X_279,top))))]]) ).
cnf(refute_0_3669,plain,
( composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top)))
| composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) != composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top)))
| composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))))),bind(Y,$fot(composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))))),bind(Z,$fot(composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top)))))]]) ).
cnf(refute_0_3670,plain,
( composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))) != composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top)))
| composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))),composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top)))) )],[refute_0_3668,refute_0_3669]) ).
cnf(refute_0_3671,plain,
composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) = composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(composition(X_279,top))),complement(composition(X_279,top))),composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top)))) )],[refute_0_3529,refute_0_3670]) ).
cnf(refute_0_3672,plain,
( composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top)))
| composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),zero)
| composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) = join(complement(composition(X_279,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))),join(complement(composition(X_279,top)),zero)) ),[0],$fot(composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))))]]) ).
cnf(refute_0_3673,plain,
( composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),zero)
| composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) = join(complement(composition(X_279,top)),zero) ),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))),composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top)))) )],[refute_0_3671,refute_0_3672]) ).
cnf(refute_0_3674,plain,
join(zero,complement(composition(X_279,top))) = complement(composition(X_279,top)),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(complement(composition(X_279,top))))]]) ).
cnf(refute_0_3675,plain,
join(complement(composition(X_279,top)),zero) = join(zero,complement(composition(X_279,top))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(composition(X_279,top)))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_3676,plain,
( join(complement(composition(X_279,top)),zero) != join(zero,complement(composition(X_279,top)))
| join(zero,complement(composition(X_279,top))) != complement(composition(X_279,top))
| join(complement(composition(X_279,top)),zero) = complement(composition(X_279,top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(composition(X_279,top)),zero))),bind(Y,$fot(join(zero,complement(composition(X_279,top))))),bind(Z,$fot(complement(composition(X_279,top))))]]) ).
cnf(refute_0_3677,plain,
( join(zero,complement(composition(X_279,top))) != complement(composition(X_279,top))
| join(complement(composition(X_279,top)),zero) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),zero),join(zero,complement(composition(X_279,top)))) )],[refute_0_3675,refute_0_3676]) ).
cnf(refute_0_3678,plain,
join(complement(composition(X_279,top)),zero) = complement(composition(X_279,top)),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(X_279,top))),complement(composition(X_279,top))) )],[refute_0_3674,refute_0_3677]) ).
cnf(refute_0_3679,plain,
( composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),zero)
| join(complement(composition(X_279,top)),zero) != complement(composition(X_279,top))
| composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) = complement(composition(X_279,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))),complement(composition(X_279,top))) ),[0],$fot(join(complement(composition(X_279,top)),zero))]]) ).
cnf(refute_0_3680,plain,
( composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),zero)
| composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_279,top)),zero),complement(composition(X_279,top))) )],[refute_0_3678,refute_0_3679]) ).
cnf(refute_0_3681,plain,
( composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))) != join(complement(composition(X_279,top)),zero)
| composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) = complement(composition(X_279,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))),join(complement(composition(X_279,top)),zero)) )],[refute_0_3673,refute_0_3680]) ).
cnf(refute_0_3682,plain,
composition(converse(join(one,composition(X_279,top))),complement(composition(X_279,top))) = complement(composition(X_279,top)),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(X_279,top)),one),complement(composition(X_279,top))),join(complement(composition(X_279,top)),zero)) )],[refute_0_3524,refute_0_3681]) ).
cnf(refute_0_3683,plain,
composition(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_3682:[bind(X_279,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3684,plain,
converse(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3685,plain,
join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150) = join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)),
inference(subst,[],[refute_0_1192:[bind(X0,$fot(one)),bind(X_8,$fot(X_150)),bind(X_9,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3686,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,top) != top
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(top)]]) ).
cnf(refute_0_3687,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_3686]) ).
cnf(refute_0_3688,plain,
top = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1677,refute_0_3687]) ).
cnf(refute_0_3689,plain,
( top != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3690,plain,
join(one,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3688,refute_0_3689]) ).
cnf(refute_0_3691,plain,
( join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150) != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| join(converse(top),X_150) = join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150),join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_3692,plain,
( join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150) != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| join(converse(top),X_150) = join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_3690,refute_0_3691]) ).
cnf(refute_0_3693,plain,
join(converse(top),X_150) = join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150),join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))) )],[refute_0_3685,refute_0_3692]) ).
cnf(refute_0_3694,plain,
join(top,X_150) = top,
inference(subst,[],[refute_0_1585:[bind(X_58,$fot(X_150))]]) ).
cnf(refute_0_3695,plain,
join(converse(top),X_150) = join(converse(top),X_150),
introduced(tautology,[refl,[$fot(join(converse(top),X_150))]]) ).
cnf(refute_0_3696,plain,
( converse(top) != top
| join(converse(top),X_150) != join(converse(top),X_150)
| join(converse(top),X_150) = join(top,X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_150),join(converse(top),X_150)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3697,plain,
( converse(top) != top
| join(converse(top),X_150) = join(top,X_150) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_150),join(converse(top),X_150)) )],[refute_0_3695,refute_0_3696]) ).
cnf(refute_0_3698,plain,
join(converse(top),X_150) = join(top,X_150),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_3697]) ).
cnf(refute_0_3699,plain,
( join(converse(top),X_150) != join(top,X_150)
| join(top,X_150) != top
| join(converse(top),X_150) = top ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(top),X_150))),bind(Y,$fot(join(top,X_150))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3700,plain,
( join(top,X_150) != top
| join(converse(top),X_150) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_150),join(top,X_150)) )],[refute_0_3698,refute_0_3699]) ).
cnf(refute_0_3701,plain,
join(converse(top),X_150) = top,
inference(resolve,[$cnf( $equal(join(top,X_150),top) )],[refute_0_3694,refute_0_3700]) ).
cnf(refute_0_3702,plain,
( join(converse(top),X_150) != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| join(converse(top),X_150) != top
| top = join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_150),join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))) ),[0],$fot(top)]]) ).
cnf(refute_0_3703,plain,
( join(converse(top),X_150) != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| top = join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_150),top) )],[refute_0_3701,refute_0_3702]) ).
cnf(refute_0_3704,plain,
join(one,join(converse(X_79),X2)) = join(join(one,converse(X_79)),X2),
inference(subst,[],[refute_0_209:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_79)))]]) ).
cnf(refute_0_3705,plain,
converse(join(one,X_79)) = join(one,converse(X_79)),
inference(subst,[],[refute_0_1755:[bind(X_5,$fot(X_79))]]) ).
cnf(refute_0_3706,plain,
( converse(join(one,X_79)) != join(one,converse(X_79))
| join(one,converse(X_79)) = converse(join(one,X_79)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_79)))),bind(Y,$fot(join(one,converse(X_79))))]]) ).
cnf(refute_0_3707,plain,
join(one,converse(X_79)) = converse(join(one,X_79)),
inference(resolve,[$cnf( $equal(converse(join(one,X_79)),join(one,converse(X_79))) )],[refute_0_3705,refute_0_3706]) ).
cnf(refute_0_3708,plain,
( join(one,converse(X_79)) != converse(join(one,X_79))
| join(one,join(converse(X_79),X2)) != join(join(one,converse(X_79)),X2)
| join(one,join(converse(X_79),X2)) = join(converse(join(one,X_79)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_79),X2)),join(join(one,converse(X_79)),X2)) ),[1,0],$fot(converse(join(one,X_79)))]]) ).
cnf(refute_0_3709,plain,
( join(one,join(converse(X_79),X2)) != join(join(one,converse(X_79)),X2)
| join(one,join(converse(X_79),X2)) = join(converse(join(one,X_79)),X2) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_79)),converse(join(one,X_79))) )],[refute_0_3707,refute_0_3708]) ).
cnf(refute_0_3710,plain,
join(one,join(converse(X_79),X2)) = join(converse(join(one,X_79)),X2),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_79),X2)),join(join(one,converse(X_79)),X2)) )],[refute_0_3704,refute_0_3709]) ).
cnf(refute_0_3711,plain,
( join(one,join(converse(X_79),X2)) != join(converse(join(one,X_79)),X2)
| join(converse(join(one,X_79)),X2) = join(one,join(converse(X_79),X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,join(converse(X_79),X2)))),bind(Y,$fot(join(converse(join(one,X_79)),X2)))]]) ).
cnf(refute_0_3712,plain,
join(converse(join(one,X_79)),X2) = join(one,join(converse(X_79),X2)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_79),X2)),join(converse(join(one,X_79)),X2)) )],[refute_0_3710,refute_0_3711]) ).
cnf(refute_0_3713,plain,
join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150) = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)),
inference(subst,[],[refute_0_3712:[bind(X2,$fot(X_150)),bind(X_79,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3714,plain,
( join(converse(join(X0,X_9)),X_8) != join(converse(X0),join(converse(X_9),X_8))
| join(converse(X0),join(converse(X_9),X_8)) = join(converse(join(X0,X_9)),X_8) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X0,X_9)),X_8))),bind(Y,$fot(join(converse(X0),join(converse(X_9),X_8))))]]) ).
cnf(refute_0_3715,plain,
join(converse(X0),join(converse(X_9),X_8)) = join(converse(join(X0,X_9)),X_8),
inference(resolve,[$cnf( $equal(join(converse(join(X0,X_9)),X_8),join(converse(X0),join(converse(X_9),X_8))) )],[refute_0_1192,refute_0_3714]) ).
cnf(refute_0_3716,plain,
join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) = join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150),
inference(subst,[],[refute_0_3715:[bind(X0,$fot(one)),bind(X_8,$fot(X_150)),bind(X_9,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3717,plain,
( join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150) != join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) != join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150)
| join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)))),bind(Y,$fot(join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150))),bind(Z,$fot(join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150))))]]) ).
cnf(refute_0_3718,plain,
( join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150) != join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)),join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150)) )],[refute_0_3716,refute_0_3717]) ).
cnf(refute_0_3719,plain,
join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(skolemFOFtoCNF_X0))),X_150),join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150))) )],[refute_0_3713,refute_0_3718]) ).
cnf(refute_0_3720,plain,
( join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)) != join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| top != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| top = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))) ),[1],$fot(join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)))]]) ).
cnf(refute_0_3721,plain,
( top != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| top = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150)),join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150))) )],[refute_0_3719,refute_0_3720]) ).
cnf(refute_0_3722,plain,
( join(converse(top),X_150) != join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))
| top = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)) ),
inference(resolve,[$cnf( $equal(top,join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))) )],[refute_0_3703,refute_0_3721]) ).
cnf(refute_0_3723,plain,
top = join(one,join(converse(complement(skolemFOFtoCNF_X0)),X_150)),
inference(resolve,[$cnf( $equal(join(converse(top),X_150),join(converse(one),join(converse(complement(skolemFOFtoCNF_X0)),X_150))) )],[refute_0_3693,refute_0_3722]) ).
cnf(refute_0_3724,plain,
top = join(one,join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3723:[bind(X_150,$fot(composition(X_186,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3725,plain,
composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1617:[bind(X_174,$fot(X_186)),bind(X_176,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3726,plain,
( composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0))))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))) = composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3727,plain,
join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))) = composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3725,refute_0_3726]) ).
cnf(refute_0_3728,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))) != composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0)))
| top != join(one,join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))))
| top = join(one,composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3729,plain,
( top != join(one,join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))))
| top = join(one,composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))),composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_3727,refute_0_3728]) ).
cnf(refute_0_3730,plain,
top = join(one,composition(join(X_186,one),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(one,join(converse(complement(skolemFOFtoCNF_X0)),composition(X_186,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3724,refute_0_3729]) ).
cnf(refute_0_3731,plain,
top = join(one,composition(join(top,one),converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3730:[bind(X_186,$fot(top))]]) ).
cnf(refute_0_3732,plain,
( join(top,one) != top
| top != join(one,composition(join(top,one),converse(complement(skolemFOFtoCNF_X0))))
| top = join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(join(top,one),converse(complement(skolemFOFtoCNF_X0))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_3733,plain,
( top != join(one,composition(join(top,one),converse(complement(skolemFOFtoCNF_X0))))
| top = join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_853,refute_0_3732]) ).
cnf(refute_0_3734,plain,
top = join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(one,composition(join(top,one),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3731,refute_0_3733]) ).
cnf(refute_0_3735,plain,
join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3736,plain,
composition(top,converse(complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_2548:[bind(X_18,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3737,plain,
join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3738,plain,
( composition(top,converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) != join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))
| join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))),join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3739,plain,
( composition(top,converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))),join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3737,refute_0_3738]) ).
cnf(refute_0_3740,plain,
join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3736,refute_0_3739]) ).
cnf(refute_0_3741,plain,
( join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) != join(one,converse(composition(complement(skolemFOFtoCNF_X0),top)))
| join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3742,plain,
( join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))),join(one,converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3740,refute_0_3741]) ).
cnf(refute_0_3743,plain,
join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(join(one,converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3735,refute_0_3742]) ).
cnf(refute_0_3744,plain,
( join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))) != converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))
| top != join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))
| top = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))) ),[1],$fot(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3745,plain,
( top != join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))
| top = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,converse(complement(skolemFOFtoCNF_X0)))),converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3743,refute_0_3744]) ).
cnf(refute_0_3746,plain,
top = converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(top,join(one,composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3734,refute_0_3745]) ).
cnf(refute_0_3747,plain,
( top != converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3748,plain,
converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3746,refute_0_3747]) ).
cnf(refute_0_3749,plain,
( converse(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(one,composition(complement(skolemFOFtoCNF_X0),top))
| converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))) != top
| converse(top) = join(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(one,composition(complement(skolemFOFtoCNF_X0),top))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3750,plain,
( converse(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(one,composition(complement(skolemFOFtoCNF_X0),top))
| converse(top) = join(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),top) )],[refute_0_3748,refute_0_3749]) ).
cnf(refute_0_3751,plain,
converse(top) = join(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3684,refute_0_3750]) ).
cnf(refute_0_3752,plain,
( converse(top) != join(one,composition(complement(skolemFOFtoCNF_X0),top))
| converse(top) != top
| top = join(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(top)]]) ).
cnf(refute_0_3753,plain,
( converse(top) != join(one,composition(complement(skolemFOFtoCNF_X0),top))
| top = join(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_3752]) ).
cnf(refute_0_3754,plain,
top = join(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(top),join(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3751,refute_0_3753]) ).
cnf(refute_0_3755,plain,
( top != join(one,composition(complement(skolemFOFtoCNF_X0),top))
| join(one,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3756,plain,
join(one,composition(complement(skolemFOFtoCNF_X0),top)) = top,
inference(resolve,[$cnf( $equal(top,join(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3754,refute_0_3755]) ).
cnf(refute_0_3757,plain,
( composition(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(one,composition(complement(skolemFOFtoCNF_X0),top)) != top
| composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_3758,plain,
( composition(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0),top)),top) )],[refute_0_3756,refute_0_3757]) ).
cnf(refute_0_3759,plain,
composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(converse(join(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3683,refute_0_3758]) ).
cnf(refute_0_3760,plain,
composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3761,plain,
( composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(top) != top
| composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3762,plain,
( converse(top) != top
| composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3760,refute_0_3761]) ).
cnf(refute_0_3763,plain,
composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_3762]) ).
cnf(refute_0_3764,plain,
( composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3765,plain,
( composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3763,refute_0_3764]) ).
cnf(refute_0_3766,plain,
composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3759,refute_0_3765]) ).
cnf(refute_0_3767,plain,
( composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0,1,1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3768,plain,
( join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3766,refute_0_3767]) ).
cnf(refute_0_3769,plain,
join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(composition(top,complement(composition(complement(skolemFOFtoCNF_X0),top)))))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3520,refute_0_3768]) ).
cnf(refute_0_3770,plain,
composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3771,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3772,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3770,refute_0_3771]) ).
cnf(refute_0_3773,plain,
composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3462,refute_0_3772]) ).
cnf(refute_0_3774,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3775,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3776,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3774,refute_0_3775]) ).
cnf(refute_0_3777,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_2468,refute_0_3776]) ).
cnf(refute_0_3778,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3779,plain,
( composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3777,refute_0_3778]) ).
cnf(refute_0_3780,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3773,refute_0_3779]) ).
cnf(refute_0_3781,plain,
composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_3645:[bind(X_176,$fot(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(X_193,$fot(converse(top)))]]) ).
cnf(refute_0_3782,plain,
join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_2243:[bind(X_174,$fot(converse(top))),bind(X_176,$fot(complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3783,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_3784,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3782,refute_0_3783]) ).
cnf(refute_0_3785,plain,
join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3781,refute_0_3784]) ).
cnf(refute_0_3786,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3787,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3785,refute_0_3786]) ).
cnf(refute_0_3788,plain,
join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3780,refute_0_3787]) ).
cnf(refute_0_3789,plain,
( join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0],$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3790,plain,
( join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3788,refute_0_3789]) ).
cnf(refute_0_3791,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(skolemFOFtoCNF_X0),top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3792,plain,
( composition(top,composition(complement(skolemFOFtoCNF_X0),top)) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3462,refute_0_3791]) ).
cnf(refute_0_3793,plain,
( join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(skolemFOFtoCNF_X0),top)),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3790,refute_0_3792]) ).
cnf(refute_0_3794,plain,
composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(converse(top),complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3769,refute_0_3793]) ).
cnf(refute_0_3795,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))))))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))))))) ),[1,1,0,0,0,0,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3796,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3794,refute_0_3795]) ).
cnf(refute_0_3797,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))))))) )],[refute_0_3519,refute_0_3796]) ).
cnf(refute_0_3798,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,top)))]]) ).
cnf(refute_0_3799,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),composition(top,top))
| composition(top,top) != top
| composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3800,plain,
( composition(top,top) != top
| composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) )],[refute_0_3798,refute_0_3799]) ).
cnf(refute_0_3801,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2450,refute_0_3800]) ).
cnf(refute_0_3802,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_3803,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_2105,refute_0_3802]) ).
cnf(refute_0_3804,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)),
inference(subst,[],[refute_0_3803:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3805,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),composition(top,top))
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),top))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3806,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) )],[refute_0_3804,refute_0_3805]) ).
cnf(refute_0_3807,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3801,refute_0_3806]) ).
cnf(refute_0_3808,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3809,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3807,refute_0_3808]) ).
cnf(refute_0_3810,plain,
composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) = converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)),
inference(subst,[],[refute_0_2548:[bind(X_18,$fot(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_3811,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))))]]) ).
cnf(refute_0_3812,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))
| composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) != converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))) ),[1,1],$fot(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))]]) ).
cnf(refute_0_3813,plain,
( composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) != converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))) )],[refute_0_3811,refute_0_3812]) ).
cnf(refute_0_3814,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) )],[refute_0_3810,refute_0_3813]) ).
cnf(refute_0_3815,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))),
inference(subst,[],[refute_0_3803:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_3816,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))))]]) ).
cnf(refute_0_3817,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))) )],[refute_0_3815,refute_0_3816]) ).
cnf(refute_0_3818,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) )],[refute_0_3814,refute_0_3817]) ).
cnf(refute_0_3819,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) ),[0],$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_3820,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) )],[refute_0_3818,refute_0_3819]) ).
cnf(refute_0_3821,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) )],[refute_0_3809,refute_0_3820]) ).
cnf(refute_0_3822,plain,
composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) )],[refute_0_3797,refute_0_3821]) ).
cnf(refute_0_3823,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))))]]) ).
cnf(refute_0_3824,plain,
composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) )],[refute_0_3822,refute_0_3823]) ).
cnf(refute_0_3825,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) != composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))),composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))) ),[0,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3826,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) != composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3824,refute_0_3825]) ).
cnf(refute_0_3827,plain,
converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))),composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_3463,refute_0_3826]) ).
cnf(refute_0_3828,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3829,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| composition(top,converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3830,plain,
( composition(top,converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3828,refute_0_3829]) ).
cnf(refute_0_3831,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3736,refute_0_3830]) ).
cnf(refute_0_3832,plain,
composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3803:[bind(X0,$fot(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(X1,$fot(top)),bind(X2,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3833,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) = composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2542:[bind(X0,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),bind(X_18,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3834,plain,
( composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) != composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))))),bind(Y,$fot(composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3835,plain,
( composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))),composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_3833,refute_0_3834]) ).
cnf(refute_0_3836,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),converse(complement(skolemFOFtoCNF_X0))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3832,refute_0_3835]) ).
cnf(refute_0_3837,plain,
composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))),
inference(subst,[],[refute_0_3233:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))))]]) ).
cnf(refute_0_3838,plain,
( composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))))),bind(Z,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3839,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))))) )],[refute_0_3837,refute_0_3838]) ).
cnf(refute_0_3840,plain,
composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3836,refute_0_3839]) ).
cnf(refute_0_3841,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3842,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3840,refute_0_3841]) ).
cnf(refute_0_3843,plain,
composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(top,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3831,refute_0_3842]) ).
cnf(refute_0_3844,plain,
( composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))) ),[1],$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3845,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3843,refute_0_3844]) ).
cnf(refute_0_3846,plain,
converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(converse(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_3827,refute_0_3845]) ).
cnf(refute_0_3847,plain,
converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_54:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3848,plain,
complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3849,plain,
( complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3850,plain,
( converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3848,refute_0_3849]) ).
cnf(refute_0_3851,plain,
complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3847,refute_0_3850]) ).
cnf(refute_0_3852,plain,
converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3853,plain,
( complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3854,plain,
( complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3852,refute_0_3853]) ).
cnf(refute_0_3855,plain,
converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3851,refute_0_3854]) ).
cnf(refute_0_3856,plain,
complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_3857,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3858,plain,
( converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_3856,refute_0_3857]) ).
cnf(refute_0_3859,plain,
complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3855,refute_0_3858]) ).
cnf(refute_0_3860,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3861,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3859,refute_0_3860]) ).
cnf(refute_0_3862,plain,
complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3462,refute_0_3861]) ).
cnf(refute_0_3863,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))]]) ).
cnf(refute_0_3864,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3865,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) )],[refute_0_3863,refute_0_3864]) ).
cnf(refute_0_3866,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(composition(complement(skolemFOFtoCNF_X0),top),top),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3862,refute_0_3865]) ).
cnf(refute_0_3867,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) != composition(composition(complement(skolemFOFtoCNF_X0),top),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),bind(Y,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),top))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3868,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),composition(composition(complement(skolemFOFtoCNF_X0),top),top)) )],[refute_0_3866,refute_0_3867]) ).
cnf(refute_0_3869,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3807,refute_0_3868]) ).
cnf(refute_0_3870,plain,
converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) = converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))]]) ).
cnf(refute_0_3871,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) != converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))
| converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3872,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) )],[refute_0_3870,refute_0_3871]) ).
cnf(refute_0_3873,plain,
converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3869,refute_0_3872]) ).
cnf(refute_0_3874,plain,
composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))))]]) ).
cnf(refute_0_3875,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3876,plain,
( converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) )],[refute_0_3874,refute_0_3875]) ).
cnf(refute_0_3877,plain,
composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3873,refute_0_3876]) ).
cnf(refute_0_3878,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),top) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3879,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3877,refute_0_3878]) ).
cnf(refute_0_3880,plain,
composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),top)))) )],[refute_0_3822,refute_0_3879]) ).
cnf(refute_0_3881,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3882,plain,
composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3880,refute_0_3881]) ).
cnf(refute_0_3883,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)))]]) ).
cnf(refute_0_3884,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) != converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3885,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))) )],[refute_0_3883,refute_0_3884]) ).
cnf(refute_0_3886,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3807,refute_0_3885]) ).
cnf(refute_0_3887,plain,
composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),
inference(subst,[],[refute_0_2548:[bind(X_18,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3888,plain,
( composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3889,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))) )],[refute_0_3887,refute_0_3888]) ).
cnf(refute_0_3890,plain,
composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3886,refute_0_3889]) ).
cnf(refute_0_3891,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3892,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3893,plain,
( composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3891,refute_0_3892]) ).
cnf(refute_0_3894,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3890,refute_0_3893]) ).
cnf(refute_0_3895,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3896,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3894,refute_0_3895]) ).
cnf(refute_0_3897,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3882,refute_0_3896]) ).
cnf(refute_0_3898,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_3803:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3899,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3900,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3898,refute_0_3899]) ).
cnf(refute_0_3901,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3897,refute_0_3900]) ).
cnf(refute_0_3902,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3903,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3904,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3902,refute_0_3903]) ).
cnf(refute_0_3905,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3862,refute_0_3904]) ).
cnf(refute_0_3906,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3907,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3905,refute_0_3906]) ).
cnf(refute_0_3908,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3901,refute_0_3907]) ).
cnf(refute_0_3909,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3910,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3846,refute_0_3910]) ).
cnf(refute_0_3912,plain,
complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3913,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3914,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3912,refute_0_3913]) ).
cnf(refute_0_3915,plain,
complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3911,refute_0_3914]) ).
cnf(refute_0_3916,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3917,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_3918,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3916,refute_0_3917]) ).
cnf(refute_0_3919,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3915,refute_0_3918]) ).
cnf(refute_0_3920,plain,
complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_3921,plain,
( complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3922,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3920,refute_0_3921]) ).
cnf(refute_0_3923,plain,
complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3919,refute_0_3922]) ).
cnf(refute_0_3924,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3925,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3923,refute_0_3924]) ).
cnf(refute_0_3926,plain,
complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3462,refute_0_3925]) ).
cnf(refute_0_3927,plain,
meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_3928,plain,
( complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_3929,plain,
( complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_3927,refute_0_3928]) ).
cnf(refute_0_3930,plain,
meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3926,refute_0_3929]) ).
cnf(refute_0_3931,plain,
composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3932,plain,
( composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) != composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) ),[1,0],$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_3933,plain,
( meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_3931,refute_0_3932]) ).
cnf(refute_0_3934,plain,
composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),meet(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3930,refute_0_3933]) ).
cnf(refute_0_3935,plain,
complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) = complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3936,plain,
( complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) != complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))
| composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) != composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))
| complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3937,plain,
( composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) != composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))
| complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3935,refute_0_3936]) ).
cnf(refute_0_3938,plain,
complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) )],[refute_0_3934,refute_0_3937]) ).
cnf(refute_0_3939,plain,
join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3940,plain,
( complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) != join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))
| join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3941,plain,
( complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3939,refute_0_3940]) ).
cnf(refute_0_3942,plain,
join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3938,refute_0_3941]) ).
cnf(refute_0_3943,plain,
( join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))) != join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))
| one != join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))
| one = join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3944,plain,
( one != join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))
| one = join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3942,refute_0_3943]) ).
cnf(refute_0_3945,plain,
one = join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(one,complement(composition(meet(one,complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3461,refute_0_3944]) ).
cnf(refute_0_3946,plain,
( one != join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))
| join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3947,plain,
join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3945,refute_0_3946]) ).
cnf(refute_0_3948,plain,
( join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) != one
| meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != complement(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3949,plain,
( meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != complement(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_3947,refute_0_3948]) ).
cnf(refute_0_3950,plain,
meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(join(one,complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3205,refute_0_3949]) ).
cnf(refute_0_3951,plain,
( meet(complement(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != complement(one)
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_3952,plain,
( meet(complement(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_3950,refute_0_3951]) ).
cnf(refute_0_3953,plain,
meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(one),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3204,refute_0_3952]) ).
cnf(refute_0_3954,plain,
complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3955,plain,
meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3956,plain,
( complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) != composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))
| meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3957,plain,
( complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) != composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))
| meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3955,refute_0_3956]) ).
cnf(refute_0_3958,plain,
meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) )],[refute_0_3954,refute_0_3957]) ).
cnf(refute_0_3959,plain,
complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3960,plain,
( complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))
| meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3961,plain,
( meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) )],[refute_0_3959,refute_0_3960]) ).
cnf(refute_0_3962,plain,
complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3958,refute_0_3961]) ).
cnf(refute_0_3963,plain,
meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3964,plain,
( complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3965,plain,
( complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_3963,refute_0_3964]) ).
cnf(refute_0_3966,plain,
meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_3962,refute_0_3965]) ).
cnf(refute_0_3967,plain,
meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3968,plain,
meet(complement(meet(X_463,X_464)),X_462) = complement(join(meet(X_463,X_464),complement(X_462))),
inference(subst,[],[refute_0_1087:[bind(X1,$fot(X_462)),bind(X_29,$fot(X_463)),bind(X_30,$fot(X_464))]]) ).
cnf(refute_0_3969,plain,
meet(X_464,X_463) = meet(X_463,X_464),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(X_464)),bind(X_30,$fot(X_463))]]) ).
cnf(refute_0_3970,plain,
( meet(X_464,X_463) != meet(X_463,X_464)
| meet(X_463,X_464) = meet(X_464,X_463) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_464,X_463))),bind(Y,$fot(meet(X_463,X_464)))]]) ).
cnf(refute_0_3971,plain,
meet(X_463,X_464) = meet(X_464,X_463),
inference(resolve,[$cnf( $equal(meet(X_464,X_463),meet(X_463,X_464)) )],[refute_0_3969,refute_0_3970]) ).
cnf(refute_0_3972,plain,
( meet(X_463,X_464) != meet(X_464,X_463)
| meet(complement(meet(X_463,X_464)),X_462) != complement(join(meet(X_463,X_464),complement(X_462)))
| meet(complement(meet(X_464,X_463)),X_462) = complement(join(meet(X_463,X_464),complement(X_462))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_463,X_464)),X_462),complement(join(meet(X_463,X_464),complement(X_462)))) ),[0,0,0],$fot(meet(X_464,X_463))]]) ).
cnf(refute_0_3973,plain,
( meet(complement(meet(X_463,X_464)),X_462) != complement(join(meet(X_463,X_464),complement(X_462)))
| meet(complement(meet(X_464,X_463)),X_462) = complement(join(meet(X_463,X_464),complement(X_462))) ),
inference(resolve,[$cnf( $equal(meet(X_463,X_464),meet(X_464,X_463)) )],[refute_0_3971,refute_0_3972]) ).
cnf(refute_0_3974,plain,
meet(complement(meet(X_464,X_463)),X_462) = complement(join(meet(X_463,X_464),complement(X_462))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_463,X_464)),X_462),complement(join(meet(X_463,X_464),complement(X_462)))) )],[refute_0_3968,refute_0_3973]) ).
cnf(refute_0_3975,plain,
( meet(complement(meet(X_29,X_30)),X1) != complement(join(meet(X_29,X_30),complement(X1)))
| complement(join(meet(X_29,X_30),complement(X1))) = meet(complement(meet(X_29,X_30)),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(meet(X_29,X_30)),X1))),bind(Y,$fot(complement(join(meet(X_29,X_30),complement(X1)))))]]) ).
cnf(refute_0_3976,plain,
complement(join(meet(X_29,X_30),complement(X1))) = meet(complement(meet(X_29,X_30)),X1),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_29,X_30)),X1),complement(join(meet(X_29,X_30),complement(X1)))) )],[refute_0_1087,refute_0_3975]) ).
cnf(refute_0_3977,plain,
complement(join(meet(X_463,X_464),complement(X_462))) = meet(complement(meet(X_463,X_464)),X_462),
inference(subst,[],[refute_0_3976:[bind(X1,$fot(X_462)),bind(X_29,$fot(X_463)),bind(X_30,$fot(X_464))]]) ).
cnf(refute_0_3978,plain,
( complement(join(meet(X_463,X_464),complement(X_462))) != meet(complement(meet(X_463,X_464)),X_462)
| meet(complement(meet(X_464,X_463)),X_462) != complement(join(meet(X_463,X_464),complement(X_462)))
| meet(complement(meet(X_464,X_463)),X_462) = meet(complement(meet(X_463,X_464)),X_462) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_464,X_463)),X_462),complement(join(meet(X_463,X_464),complement(X_462)))) ),[1],$fot(meet(complement(meet(X_463,X_464)),X_462))]]) ).
cnf(refute_0_3979,plain,
( meet(complement(meet(X_464,X_463)),X_462) != complement(join(meet(X_463,X_464),complement(X_462)))
| meet(complement(meet(X_464,X_463)),X_462) = meet(complement(meet(X_463,X_464)),X_462) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_463,X_464),complement(X_462))),meet(complement(meet(X_463,X_464)),X_462)) )],[refute_0_3977,refute_0_3978]) ).
cnf(refute_0_3980,plain,
meet(complement(meet(X_464,X_463)),X_462) = meet(complement(meet(X_463,X_464)),X_462),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_464,X_463)),X_462),complement(join(meet(X_463,X_464),complement(X_462)))) )],[refute_0_3974,refute_0_3979]) ).
cnf(refute_0_3981,plain,
( meet(complement(meet(X_464,X_463)),X_462) != meet(complement(meet(X_463,X_464)),X_462)
| meet(complement(meet(X_463,X_464)),X_462) = meet(complement(meet(X_464,X_463)),X_462) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(meet(X_464,X_463)),X_462))),bind(Y,$fot(meet(complement(meet(X_463,X_464)),X_462)))]]) ).
cnf(refute_0_3982,plain,
meet(complement(meet(X_463,X_464)),X_462) = meet(complement(meet(X_464,X_463)),X_462),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_464,X_463)),X_462),meet(complement(meet(X_463,X_464)),X_462)) )],[refute_0_3980,refute_0_3981]) ).
cnf(refute_0_3983,plain,
meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) = meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one),
inference(subst,[],[refute_0_3982:[bind(X_462,$fot(one)),bind(X_463,$fot(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),bind(X_464,$fot(one))]]) ).
cnf(refute_0_3984,plain,
( meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) != meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one)
| meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one))),bind(Y,$fot(meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one))),bind(Z,$fot(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3985,plain,
( meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one),meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one)) )],[refute_0_3983,refute_0_3984]) ).
cnf(refute_0_3986,plain,
meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))),one),meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_3967,refute_0_3985]) ).
cnf(refute_0_3987,plain,
complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) = meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one),
inference(subst,[],[refute_0_2774:[bind(X_465,$fot(one)),bind(X_466,$fot(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)))]]) ).
cnf(refute_0_3988,plain,
( complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) != meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one)
| meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))))),bind(Y,$fot(meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one))),bind(Z,$fot(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3989,plain,
( meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))),meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one)) )],[refute_0_3987,refute_0_3988]) ).
cnf(refute_0_3990,plain,
complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)),one),meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_3986,refute_0_3989]) ).
cnf(refute_0_3991,plain,
meet(complement(X_464),join(X_466,complement(X_465))) = complement(join(X_464,complement(join(X_466,complement(X_465))))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(join(X_466,complement(X_465))))]]) ).
cnf(refute_0_3992,plain,
( complement(join(X_466,complement(X_465))) != meet(complement(X_466),X_465)
| meet(complement(X_464),join(X_466,complement(X_465))) != complement(join(X_464,complement(join(X_466,complement(X_465)))))
| meet(complement(X_464),join(X_466,complement(X_465))) = complement(join(X_464,meet(complement(X_466),X_465))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_464),join(X_466,complement(X_465))),complement(join(X_464,complement(join(X_466,complement(X_465)))))) ),[1,0,1],$fot(meet(complement(X_466),X_465))]]) ).
cnf(refute_0_3993,plain,
( meet(complement(X_464),join(X_466,complement(X_465))) != complement(join(X_464,complement(join(X_466,complement(X_465)))))
| meet(complement(X_464),join(X_466,complement(X_465))) = complement(join(X_464,meet(complement(X_466),X_465))) ),
inference(resolve,[$cnf( $equal(complement(join(X_466,complement(X_465))),meet(complement(X_466),X_465)) )],[refute_0_3126,refute_0_3992]) ).
cnf(refute_0_3994,plain,
meet(complement(X_464),join(X_466,complement(X_465))) = complement(join(X_464,meet(complement(X_466),X_465))),
inference(resolve,[$cnf( $equal(meet(complement(X_464),join(X_466,complement(X_465))),complement(join(X_464,complement(join(X_466,complement(X_465)))))) )],[refute_0_3991,refute_0_3993]) ).
cnf(refute_0_3995,plain,
meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))),
inference(subst,[],[refute_0_3994:[bind(X_464,$fot(complement(one))),bind(X_465,$fot(one)),bind(X_466,$fot(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3996,plain,
( complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))))),bind(Y,$fot(complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))))),bind(Z,$fot(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3997,plain,
( complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one)))) )],[refute_0_3995,refute_0_3996]) ).
cnf(refute_0_3998,plain,
meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),meet(complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),one))),meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_3990,refute_0_3997]) ).
cnf(refute_0_3999,plain,
( meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))
| meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) != meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))))),bind(Y,$fot(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4000,plain,
( meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))) != meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_3998,refute_0_3999]) ).
cnf(refute_0_4001,plain,
meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))),meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3966,refute_0_4000]) ).
cnf(refute_0_4002,plain,
( meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4003,plain,
( meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4001,refute_0_4002]) ).
cnf(refute_0_4004,plain,
meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(one))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3953,refute_0_4003]) ).
cnf(refute_0_4005,plain,
composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3251:[bind(X_175,$fot(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))),bind(X_176,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4006,plain,
one = join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(one)),bind(X_38,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_4007,plain,
( meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| one != join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))) ),[1,0],$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_4008,plain,
( one != join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_3334,refute_0_4007]) ).
cnf(refute_0_4009,plain,
one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))) )],[refute_0_4006,refute_0_4008]) ).
cnf(refute_0_4010,plain,
complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))) = complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(subst,[],[refute_0_2744:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_4011,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))),
introduced(tautology,[refl,[$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))))]]) ).
cnf(refute_0_4012,plain,
( complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))) != complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))) ),[1,1],$fot(complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_4013,plain,
( complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))) != complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))) )],[refute_0_4011,refute_0_4012]) ).
cnf(refute_0_4014,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(resolve,[$cnf( $equal(complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_4010,refute_0_4013]) ).
cnf(refute_0_4015,plain,
( join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))) != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))) ),[1],$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_4016,plain,
( one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one)))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4014,refute_0_4015]) ).
cnf(refute_0_4017,plain,
one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(resolve,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(one))))) )],[refute_0_4009,refute_0_4016]) ).
cnf(refute_0_4018,plain,
join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
inference(subst,[],[refute_0_3077:[bind(X_5,$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_4019,plain,
complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_4020,plain,
( complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),[1,0],$fot(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_4021,plain,
( join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_4019,refute_0_4020]) ).
cnf(refute_0_4022,plain,
complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_4018,refute_0_4021]) ).
cnf(refute_0_4023,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
introduced(tautology,[refl,[$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_4024,plain,
( complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1,1],$fot(complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_4025,plain,
( complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4023,refute_0_4024]) ).
cnf(refute_0_4026,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_4022,refute_0_4025]) ).
cnf(refute_0_4027,plain,
( join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1],$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_4028,plain,
( one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4026,refute_0_4027]) ).
cnf(refute_0_4029,plain,
one = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(resolve,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(join(complement(one),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4017,refute_0_4028]) ).
cnf(refute_0_4030,plain,
join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(one)),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4031,plain,
join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
introduced(tautology,[refl,[$fot(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_4032,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),[1,1],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4033,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_4031,refute_0_4032]) ).
cnf(refute_0_4034,plain,
join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3420,refute_0_4033]) ).
cnf(refute_0_4035,plain,
( join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),bind(Y,$fot(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4036,plain,
( join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4034,refute_0_4035]) ).
cnf(refute_0_4037,plain,
join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4030,refute_0_4036]) ).
cnf(refute_0_4038,plain,
converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_4039,plain,
( converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),[1,0],$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4040,plain,
( join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_4038,refute_0_4039]) ).
cnf(refute_0_4041,plain,
converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4037,refute_0_4040]) ).
cnf(refute_0_4042,plain,
complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))]]) ).
cnf(refute_0_4043,plain,
( complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))
| converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),[1,0],$fot(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4044,plain,
( converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) )],[refute_0_4042,refute_0_4043]) ).
cnf(refute_0_4045,plain,
complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) = complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4041,refute_0_4044]) ).
cnf(refute_0_4046,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_4047,plain,
( complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1,1],$fot(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4048,plain,
( complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) != complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4046,refute_0_4047]) ).
cnf(refute_0_4049,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4045,refute_0_4048]) ).
cnf(refute_0_4050,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
introduced(tautology,[refl,[$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))]]) ).
cnf(refute_0_4051,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1,0],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4052,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4050,refute_0_4051]) ).
cnf(refute_0_4053,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3424,refute_0_4052]) ).
cnf(refute_0_4054,plain,
( join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))),bind(Y,$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))))),bind(Z,$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_4055,plain,
( join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4053,refute_0_4054]) ).
cnf(refute_0_4056,plain,
join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4049,refute_0_4055]) ).
cnf(refute_0_4057,plain,
( join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) ),[1],$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4058,plain,
( one != join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))
| one = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
one = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(one,join(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(join(complement(one),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))))) )],[refute_0_4029,refute_0_4058]) ).
cnf(refute_0_4060,plain,
( one != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_4061,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4059,refute_0_4060]) ).
cnf(refute_0_4062,plain,
( composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != one
| composition(one,complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_4063,plain,
( composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| composition(one,complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),one) )],[refute_0_4061,refute_0_4062]) ).
cnf(refute_0_4064,plain,
composition(one,complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4005,refute_0_4063]) ).
cnf(refute_0_4065,plain,
composition(one,complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_269:[bind(X_20,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4066,plain,
( composition(one,complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(one,complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) ),[0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4067,plain,
( composition(one,complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_4065,refute_0_4066]) ).
cnf(refute_0_4068,plain,
complement(skolemFOFtoCNF_X0) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(one,complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4064,refute_0_4067]) ).
cnf(refute_0_4069,plain,
complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4070,plain,
converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4071,plain,
complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4072,plain,
( complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,0],$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4073,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4071,refute_0_4072]) ).
cnf(refute_0_4074,plain,
complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4070,refute_0_4073]) ).
cnf(refute_0_4075,plain,
( complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Z,$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4076,plain,
( complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4074,refute_0_4075]) ).
cnf(refute_0_4077,plain,
complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4069,refute_0_4076]) ).
cnf(refute_0_4078,plain,
composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4079,plain,
( complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) ),[1,0],$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4080,plain,
( complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4078,refute_0_4079]) ).
cnf(refute_0_4081,plain,
composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4077,refute_0_4080]) ).
cnf(refute_0_4082,plain,
( complement(skolemFOFtoCNF_X0) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)) != composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4083,plain,
( complement(skolemFOFtoCNF_X0) != composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0)),composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4081,refute_0_4082]) ).
cnf(refute_0_4084,plain,
complement(skolemFOFtoCNF_X0) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),composition(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4068,refute_0_4083]) ).
cnf(refute_0_4085,plain,
meet(complement(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(subst,[],[refute_0_3203:[bind(X_463,$fot(one)),bind(X_464,$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4086,plain,
meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_3203:[bind(X_463,$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),bind(X_464,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4087,plain,
join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4088,plain,
( complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,1],$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4089,plain,
( complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4087,refute_0_4088]) ).
cnf(refute_0_4090,plain,
join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4077,refute_0_4089]) ).
cnf(refute_0_4091,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4092,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,0],$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4093,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4091,refute_0_4092]) ).
cnf(refute_0_4094,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3916,refute_0_4093]) ).
cnf(refute_0_4095,plain,
( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Y,$fot(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Z,$fot(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4096,plain,
( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4094,refute_0_4095]) ).
cnf(refute_0_4097,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4090,refute_0_4096]) ).
cnf(refute_0_4098,plain,
( join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| one != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| one = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1],$fot(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4099,plain,
( one != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| one = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4097,refute_0_4098]) ).
cnf(refute_0_4100,plain,
one = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4059,refute_0_4099]) ).
cnf(refute_0_4101,plain,
join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4102,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4103,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4101,refute_0_4102]) ).
cnf(refute_0_4104,plain,
join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3915,refute_0_4103]) ).
cnf(refute_0_4105,plain,
( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| one != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| one = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),[1],$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4106,plain,
( one != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| one = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4104,refute_0_4105]) ).
cnf(refute_0_4107,plain,
one = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4100,refute_0_4106]) ).
cnf(refute_0_4108,plain,
( one != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4109,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4107,refute_0_4108]) ).
cnf(refute_0_4110,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != one
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_4111,plain,
( meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),one) )],[refute_0_4109,refute_0_4110]) ).
cnf(refute_0_4112,plain,
meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_4086,refute_0_4111]) ).
cnf(refute_0_4113,plain,
converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(subst,[],[refute_0_1077:[bind(X_89,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(X_90,$fot(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4114,plain,
X_37 = join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(join(complement(X_37),join(complement(X_111),meet(X_37,X_111))))),
inference(subst,[],[refute_0_81:[bind(X_38,$fot(join(complement(X_111),meet(X_37,X_111))))]]) ).
cnf(refute_0_4115,plain,
top = join(complement(X_37),join(complement(X_111),meet(X_37,X_111))),
inference(subst,[],[refute_0_215:[bind(X_29,$fot(X_37)),bind(X_30,$fot(X_111))]]) ).
cnf(refute_0_4116,plain,
( top != join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))
| join(complement(X_37),join(complement(X_111),meet(X_37,X_111))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))))]]) ).
cnf(refute_0_4117,plain,
join(complement(X_37),join(complement(X_111),meet(X_37,X_111))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))) )],[refute_0_4115,refute_0_4116]) ).
cnf(refute_0_4118,plain,
( X_37 != join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))))
| join(complement(X_37),join(complement(X_111),meet(X_37,X_111))) != top
| X_37 = join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_4119,plain,
( X_37 != join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))))
| X_37 = join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),join(complement(X_111),meet(X_37,X_111))),top) )],[refute_0_4117,refute_0_4118]) ).
cnf(refute_0_4120,plain,
X_37 = join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)),
inference(resolve,[$cnf( $equal(X_37,join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(join(complement(X_37),join(complement(X_111),meet(X_37,X_111)))))) )],[refute_0_4114,refute_0_4119]) ).
cnf(refute_0_4121,plain,
meet(join(complement(X_111),meet(X_37,X_111)),X_37) = meet(X_37,join(complement(X_111),meet(X_37,X_111))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(X_37)),bind(X_30,$fot(join(complement(X_111),meet(X_37,X_111))))]]) ).
cnf(refute_0_4122,plain,
join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)))]]) ).
cnf(refute_0_4123,plain,
( join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37))
| meet(join(complement(X_111),meet(X_37,X_111)),X_37) != meet(X_37,join(complement(X_111),meet(X_37,X_111)))
| join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37))) ),[1,1],$fot(meet(X_37,join(complement(X_111),meet(X_37,X_111))))]]) ).
cnf(refute_0_4124,plain,
( meet(join(complement(X_111),meet(X_37,X_111)),X_37) != meet(X_37,join(complement(X_111),meet(X_37,X_111)))
| join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37))) )],[refute_0_4122,refute_0_4123]) ).
cnf(refute_0_4125,plain,
join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_111),meet(X_37,X_111)),X_37),meet(X_37,join(complement(X_111),meet(X_37,X_111)))) )],[refute_0_4121,refute_0_4124]) ).
cnf(refute_0_4126,plain,
join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)))]]) ).
cnf(refute_0_4127,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37))
| join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4128,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37))) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_4128]) ).
cnf(refute_0_4130,plain,
( join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37))
| join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)))),bind(Y,$fot(join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)))),bind(Z,$fot(join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))))]]) ).
cnf(refute_0_4131,plain,
( join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37))) )],[refute_0_4129,refute_0_4130]) ).
cnf(refute_0_4132,plain,
join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))) )],[refute_0_4125,refute_0_4131]) ).
cnf(refute_0_4133,plain,
join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) = join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(X_111),meet(X_37,X_111)),X_37)))]]) ).
cnf(refute_0_4134,plain,
( join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) != join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37))
| join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)))),bind(Z,$fot(join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))))]]) ).
cnf(refute_0_4135,plain,
( join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)) != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)),join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37))) )],[refute_0_4133,refute_0_4134]) ).
cnf(refute_0_4136,plain,
join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_111),meet(X_37,X_111)),X_37)),join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))) )],[refute_0_4132,refute_0_4135]) ).
cnf(refute_0_4137,plain,
( X_37 != join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top))
| join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)) != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| X_37 = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))) ),[0],$fot(join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)))]]) ).
cnf(refute_0_4138,plain,
( X_37 != join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top))
| X_37 = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top)),join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
X_37 = join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))),
inference(resolve,[$cnf( $equal(X_37,join(meet(join(complement(X_111),meet(X_37,X_111)),X_37),complement(top))) )],[refute_0_4120,refute_0_4138]) ).
cnf(refute_0_4140,plain,
join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) = meet(X_37,join(complement(X_111),meet(X_37,X_111))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(X_37,join(complement(X_111),meet(X_37,X_111)))))]]) ).
cnf(refute_0_4141,plain,
( X_37 != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) != meet(X_37,join(complement(X_111),meet(X_37,X_111)))
| X_37 = meet(X_37,join(complement(X_111),meet(X_37,X_111))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,meet(X_37,join(complement(X_111),meet(X_37,X_111)))) ),[0],$fot(join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))))]]) ).
cnf(refute_0_4142,plain,
( X_37 != join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))
| X_37 = meet(X_37,join(complement(X_111),meet(X_37,X_111))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111)))),meet(X_37,join(complement(X_111),meet(X_37,X_111)))) )],[refute_0_4140,refute_0_4141]) ).
cnf(refute_0_4143,plain,
X_37 = meet(X_37,join(complement(X_111),meet(X_37,X_111))),
inference(resolve,[$cnf( $equal(X_37,join(zero,meet(X_37,join(complement(X_111),meet(X_37,X_111))))) )],[refute_0_4139,refute_0_4142]) ).
cnf(refute_0_4144,plain,
X_237 = meet(X_237,join(complement(X_236),meet(X_237,X_236))),
inference(subst,[],[refute_0_4143:[bind(X_111,$fot(X_236)),bind(X_37,$fot(X_237))]]) ).
cnf(refute_0_4145,plain,
meet(X_236,X_237) = meet(X_237,X_236),
inference(subst,[],[refute_0_24:[bind(X_29,$fot(X_236)),bind(X_30,$fot(X_237))]]) ).
cnf(refute_0_4146,plain,
( meet(X_236,X_237) != meet(X_237,X_236)
| meet(X_237,X_236) = meet(X_236,X_237) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_236,X_237))),bind(Y,$fot(meet(X_237,X_236)))]]) ).
cnf(refute_0_4147,plain,
meet(X_237,X_236) = meet(X_236,X_237),
inference(resolve,[$cnf( $equal(meet(X_236,X_237),meet(X_237,X_236)) )],[refute_0_4145,refute_0_4146]) ).
cnf(refute_0_4148,plain,
( X_237 != meet(X_237,join(complement(X_236),meet(X_237,X_236)))
| meet(X_237,X_236) != meet(X_236,X_237)
| X_237 = meet(X_237,join(complement(X_236),meet(X_236,X_237))) ),
introduced(tautology,[equality,[$cnf( $equal(X_237,meet(X_237,join(complement(X_236),meet(X_237,X_236)))) ),[1,1,1],$fot(meet(X_236,X_237))]]) ).
cnf(refute_0_4149,plain,
( X_237 != meet(X_237,join(complement(X_236),meet(X_237,X_236)))
| X_237 = meet(X_237,join(complement(X_236),meet(X_236,X_237))) ),
inference(resolve,[$cnf( $equal(meet(X_237,X_236),meet(X_236,X_237)) )],[refute_0_4147,refute_0_4148]) ).
cnf(refute_0_4150,plain,
X_237 = meet(X_237,join(complement(X_236),meet(X_236,X_237))),
inference(resolve,[$cnf( $equal(X_237,meet(X_237,join(complement(X_236),meet(X_237,X_236)))) )],[refute_0_4144,refute_0_4149]) ).
cnf(refute_0_4151,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(subst,[],[refute_0_4150:[bind(X_236,$fot(one)),bind(X_237,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4152,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),[0],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4153,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3424,refute_0_4152]) ).
cnf(refute_0_4154,plain,
meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
introduced(tautology,[refl,[$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_4155,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),[1,1],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4156,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_4154,refute_0_4155]) ).
cnf(refute_0_4157,plain,
meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3424,refute_0_4156]) ).
cnf(refute_0_4158,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),[0],$fot(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_4159,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4157,refute_0_4158]) ).
cnf(refute_0_4160,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_4153,refute_0_4159]) ).
cnf(refute_0_4161,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),meet(one,converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_3332,refute_0_4160]) ).
cnf(refute_0_4162,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))
| meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4163,plain,
meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4161,refute_0_4162]) ).
cnf(refute_0_4164,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,1,1],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4165,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4163,refute_0_4164]) ).
cnf(refute_0_4166,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),meet(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4151,refute_0_4165]) ).
cnf(refute_0_4167,plain,
converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4168,plain,
( converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4169,plain,
( join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4167,refute_0_4168]) ).
cnf(refute_0_4170,plain,
converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4030,refute_0_4169]) ).
cnf(refute_0_4171,plain,
join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_3077:[bind(X_5,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4172,plain,
( converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4173,plain,
( converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4171,refute_0_4172]) ).
cnf(refute_0_4174,plain,
join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4170,refute_0_4173]) ).
cnf(refute_0_4175,plain,
meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4176,plain,
( join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,1],$fot(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4177,plain,
( join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4175,refute_0_4176]) ).
cnf(refute_0_4178,plain,
meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4174,refute_0_4177]) ).
cnf(refute_0_4179,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[0],$fot(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4180,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4178,refute_0_4179]) ).
cnf(refute_0_4181,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(one),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4166,refute_0_4180]) ).
cnf(refute_0_4182,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4183,plain,
meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4181,refute_0_4182]) ).
cnf(refute_0_4184,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,0],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4185,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4183,refute_0_4184]) ).
cnf(refute_0_4186,plain,
converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(meet(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4113,refute_0_4185]) ).
cnf(refute_0_4187,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[0],$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4188,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4070,refute_0_4187]) ).
cnf(refute_0_4189,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4190,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,1],$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4191,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4189,refute_0_4190]) ).
cnf(refute_0_4192,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4070,refute_0_4191]) ).
cnf(refute_0_4193,plain,
meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4194,plain,
( complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_4195,plain,
( complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4193,refute_0_4194]) ).
cnf(refute_0_4196,plain,
meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3926,refute_0_4195]) ).
cnf(refute_0_4197,plain,
( meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Z,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4198,plain,
( meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4196,refute_0_4197]) ).
cnf(refute_0_4199,plain,
meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4192,refute_0_4198]) ).
cnf(refute_0_4200,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
introduced(tautology,[refl,[$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4201,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,1],$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4202,plain,
( meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4200,refute_0_4201]) ).
cnf(refute_0_4203,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4199,refute_0_4202]) ).
cnf(refute_0_4204,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4205,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4206,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4204,refute_0_4205]) ).
cnf(refute_0_4207,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3919,refute_0_4206]) ).
cnf(refute_0_4208,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Y,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Z,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_4209,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4207,refute_0_4208]) ).
cnf(refute_0_4210,plain,
join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4203,refute_0_4209]) ).
cnf(refute_0_4211,plain,
( complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[0],$fot(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4212,plain,
( complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4210,refute_0_4211]) ).
cnf(refute_0_4213,plain,
( converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4188,refute_0_4212]) ).
cnf(refute_0_4214,plain,
complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4186,refute_0_4213]) ).
cnf(refute_0_4215,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(X1,$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4216,plain,
join(join(complement(X_236),meet(X_236,X_459)),meet(X_459,join(complement(X_236),meet(X_236,X_459)))) = join(complement(X_236),meet(X_236,X_459)),
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(join(complement(X_236),meet(X_236,X_459)))),bind(X_38,$fot(X_459))]]) ).
cnf(refute_0_4217,plain,
X_459 = meet(X_459,join(complement(X_236),meet(X_236,X_459))),
inference(subst,[],[refute_0_4150:[bind(X_237,$fot(X_459))]]) ).
cnf(refute_0_4218,plain,
( X_459 != meet(X_459,join(complement(X_236),meet(X_236,X_459)))
| meet(X_459,join(complement(X_236),meet(X_236,X_459))) = X_459 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_459)),bind(Y,$fot(meet(X_459,join(complement(X_236),meet(X_236,X_459)))))]]) ).
cnf(refute_0_4219,plain,
meet(X_459,join(complement(X_236),meet(X_236,X_459))) = X_459,
inference(resolve,[$cnf( $equal(X_459,meet(X_459,join(complement(X_236),meet(X_236,X_459)))) )],[refute_0_4217,refute_0_4218]) ).
cnf(refute_0_4220,plain,
( join(join(complement(X_236),meet(X_236,X_459)),meet(X_459,join(complement(X_236),meet(X_236,X_459)))) != join(complement(X_236),meet(X_236,X_459))
| meet(X_459,join(complement(X_236),meet(X_236,X_459))) != X_459
| join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(complement(X_236),meet(X_236,X_459)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_236),meet(X_236,X_459)),meet(X_459,join(complement(X_236),meet(X_236,X_459)))),join(complement(X_236),meet(X_236,X_459))) ),[0,1],$fot(X_459)]]) ).
cnf(refute_0_4221,plain,
( join(join(complement(X_236),meet(X_236,X_459)),meet(X_459,join(complement(X_236),meet(X_236,X_459)))) != join(complement(X_236),meet(X_236,X_459))
| join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(complement(X_236),meet(X_236,X_459)) ),
inference(resolve,[$cnf( $equal(meet(X_459,join(complement(X_236),meet(X_236,X_459))),X_459) )],[refute_0_4219,refute_0_4220]) ).
cnf(refute_0_4222,plain,
join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(complement(X_236),meet(X_236,X_459)),
inference(resolve,[$cnf( $equal(join(join(complement(X_236),meet(X_236,X_459)),meet(X_459,join(complement(X_236),meet(X_236,X_459)))),join(complement(X_236),meet(X_236,X_459))) )],[refute_0_4216,refute_0_4221]) ).
cnf(refute_0_4223,plain,
join(meet(X_459,X_57),join(X_56,X_57)) = join(X_56,join(X_57,meet(X_459,X_57))),
inference(subst,[],[refute_0_661:[bind(X0,$fot(meet(X_459,X_57)))]]) ).
cnf(refute_0_4224,plain,
join(X_57,meet(X_459,X_57)) = X_57,
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(X_57)),bind(X_38,$fot(X_459))]]) ).
cnf(refute_0_4225,plain,
( join(X_57,meet(X_459,X_57)) != X_57
| join(meet(X_459,X_57),join(X_56,X_57)) != join(X_56,join(X_57,meet(X_459,X_57)))
| join(meet(X_459,X_57),join(X_56,X_57)) = join(X_56,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_459,X_57),join(X_56,X_57)),join(X_56,join(X_57,meet(X_459,X_57)))) ),[1,1],$fot(X_57)]]) ).
cnf(refute_0_4226,plain,
( join(meet(X_459,X_57),join(X_56,X_57)) != join(X_56,join(X_57,meet(X_459,X_57)))
| join(meet(X_459,X_57),join(X_56,X_57)) = join(X_56,X_57) ),
inference(resolve,[$cnf( $equal(join(X_57,meet(X_459,X_57)),X_57) )],[refute_0_4224,refute_0_4225]) ).
cnf(refute_0_4227,plain,
join(meet(X_459,X_57),join(X_56,X_57)) = join(X_56,X_57),
inference(resolve,[$cnf( $equal(join(meet(X_459,X_57),join(X_56,X_57)),join(X_56,join(X_57,meet(X_459,X_57)))) )],[refute_0_4223,refute_0_4226]) ).
cnf(refute_0_4228,plain,
join(meet(X_459,X_57),join(X_56,X_57)) = join(X_57,join(X_56,meet(X_459,X_57))),
inference(subst,[],[refute_0_2020:[bind(X_325,$fot(X_57)),bind(X_326,$fot(meet(X_459,X_57))),bind(X_327,$fot(X_56))]]) ).
cnf(refute_0_4229,plain,
( join(meet(X_459,X_57),join(X_56,X_57)) != join(X_56,X_57)
| join(meet(X_459,X_57),join(X_56,X_57)) != join(X_57,join(X_56,meet(X_459,X_57)))
| join(X_57,join(X_56,meet(X_459,X_57))) = join(X_56,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_459,X_57),join(X_56,X_57)),join(X_56,X_57)) ),[0],$fot(join(X_57,join(X_56,meet(X_459,X_57))))]]) ).
cnf(refute_0_4230,plain,
( join(meet(X_459,X_57),join(X_56,X_57)) != join(X_56,X_57)
| join(X_57,join(X_56,meet(X_459,X_57))) = join(X_56,X_57) ),
inference(resolve,[$cnf( $equal(join(meet(X_459,X_57),join(X_56,X_57)),join(X_57,join(X_56,meet(X_459,X_57)))) )],[refute_0_4228,refute_0_4229]) ).
cnf(refute_0_4231,plain,
join(X_57,join(X_56,meet(X_459,X_57))) = join(X_56,X_57),
inference(resolve,[$cnf( $equal(join(meet(X_459,X_57),join(X_56,X_57)),join(X_56,X_57)) )],[refute_0_4227,refute_0_4230]) ).
cnf(refute_0_4232,plain,
join(X_459,join(complement(X_236),meet(X_236,X_459))) = join(complement(X_236),X_459),
inference(subst,[],[refute_0_4231:[bind(X_459,$fot(X_236)),bind(X_56,$fot(complement(X_236))),bind(X_57,$fot(X_459))]]) ).
cnf(refute_0_4233,plain,
join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(X_459,join(complement(X_236),meet(X_236,X_459))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(X_459)),bind(X_56,$fot(join(complement(X_236),meet(X_236,X_459))))]]) ).
cnf(refute_0_4234,plain,
( join(X_459,join(complement(X_236),meet(X_236,X_459))) != join(complement(X_236),X_459)
| join(join(complement(X_236),meet(X_236,X_459)),X_459) != join(X_459,join(complement(X_236),meet(X_236,X_459)))
| join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(complement(X_236),X_459) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(complement(X_236),meet(X_236,X_459)),X_459))),bind(Y,$fot(join(X_459,join(complement(X_236),meet(X_236,X_459))))),bind(Z,$fot(join(complement(X_236),X_459)))]]) ).
cnf(refute_0_4235,plain,
( join(X_459,join(complement(X_236),meet(X_236,X_459))) != join(complement(X_236),X_459)
| join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(complement(X_236),X_459) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_236),meet(X_236,X_459)),X_459),join(X_459,join(complement(X_236),meet(X_236,X_459)))) )],[refute_0_4233,refute_0_4234]) ).
cnf(refute_0_4236,plain,
join(join(complement(X_236),meet(X_236,X_459)),X_459) = join(complement(X_236),X_459),
inference(resolve,[$cnf( $equal(join(X_459,join(complement(X_236),meet(X_236,X_459))),join(complement(X_236),X_459)) )],[refute_0_4232,refute_0_4235]) ).
cnf(refute_0_4237,plain,
( join(join(complement(X_236),meet(X_236,X_459)),X_459) != join(complement(X_236),X_459)
| join(join(complement(X_236),meet(X_236,X_459)),X_459) != join(complement(X_236),meet(X_236,X_459))
| join(complement(X_236),X_459) = join(complement(X_236),meet(X_236,X_459)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_236),meet(X_236,X_459)),X_459),join(complement(X_236),meet(X_236,X_459))) ),[0],$fot(join(complement(X_236),X_459))]]) ).
cnf(refute_0_4238,plain,
( join(join(complement(X_236),meet(X_236,X_459)),X_459) != join(complement(X_236),meet(X_236,X_459))
| join(complement(X_236),X_459) = join(complement(X_236),meet(X_236,X_459)) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_236),meet(X_236,X_459)),X_459),join(complement(X_236),X_459)) )],[refute_0_4236,refute_0_4237]) ).
cnf(refute_0_4239,plain,
join(complement(X_236),X_459) = join(complement(X_236),meet(X_236,X_459)),
inference(resolve,[$cnf( $equal(join(join(complement(X_236),meet(X_236,X_459)),X_459),join(complement(X_236),meet(X_236,X_459))) )],[refute_0_4222,refute_0_4238]) ).
cnf(refute_0_4240,plain,
( join(complement(X_236),X_459) != join(complement(X_236),meet(X_236,X_459))
| join(complement(X_236),meet(X_236,X_459)) = join(complement(X_236),X_459) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_236),X_459))),bind(Y,$fot(join(complement(X_236),meet(X_236,X_459))))]]) ).
cnf(refute_0_4241,plain,
join(complement(X_236),meet(X_236,X_459)) = join(complement(X_236),X_459),
inference(resolve,[$cnf( $equal(join(complement(X_236),X_459),join(complement(X_236),meet(X_236,X_459))) )],[refute_0_4239,refute_0_4240]) ).
cnf(refute_0_4242,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(subst,[],[refute_0_4241:[bind(X_236,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(X_459,$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4243,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Y,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Z,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4244,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4242,refute_0_4243]) ).
cnf(refute_0_4245,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4215,refute_0_4244]) ).
cnf(refute_0_4246,plain,
( complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[0],$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4247,plain,
( complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4245,refute_0_4246]) ).
cnf(refute_0_4248,plain,
complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(composition(complement(skolemFOFtoCNF_X0),top)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4214,refute_0_4247]) ).
cnf(refute_0_4249,plain,
( complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4250,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4248,refute_0_4249]) ).
cnf(refute_0_4251,plain,
meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4252,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,1],$fot(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4253,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4251,refute_0_4252]) ).
cnf(refute_0_4254,plain,
meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4250,refute_0_4253]) ).
cnf(refute_0_4255,plain,
meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) = meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4256,plain,
meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one),
inference(subst,[],[refute_0_3982:[bind(X_462,$fot(one)),bind(X_463,$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),bind(X_464,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4257,plain,
( meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) != meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) != meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one))),bind(Y,$fot(meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))),bind(Z,$fot(meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).
cnf(refute_0_4258,plain,
( meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) != meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one),meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) )],[refute_0_4256,refute_0_4257]) ).
cnf(refute_0_4259,plain,
meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one),meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4255,refute_0_4258]) ).
cnf(refute_0_4260,plain,
( meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) != meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one))),bind(Y,$fot(meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Z,$fot(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4261,plain,
( meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one),meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4259,refute_0_4260]) ).
cnf(refute_0_4262,plain,
meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) = meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4254,refute_0_4261]) ).
cnf(refute_0_4263,plain,
( meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) != meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_4264,plain,
( meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one),meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4262,refute_0_4263]) ).
cnf(refute_0_4265,plain,
meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))),one),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_4112,refute_0_4264]) ).
cnf(refute_0_4266,plain,
( meet(complement(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[0,0,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4267,plain,
( meet(complement(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_4265,refute_0_4266]) ).
cnf(refute_0_4268,plain,
meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4085,refute_0_4267]) ).
cnf(refute_0_4269,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),one) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4270,plain,
join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))) = one,
inference(subst,[],[refute_0_1649:[bind(X0,$fot(one)),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4271,plain,
converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4272,plain,
( converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))) != one
| converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4273,plain,
( join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))) != one
| converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4271,refute_0_4272]) ).
cnf(refute_0_4274,plain,
converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))),one) )],[refute_0_4270,refute_0_4273]) ).
cnf(refute_0_4275,plain,
( converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != converse(one)
| converse(one) != one
| converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4276,plain,
( converse(one) != one
| converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),converse(one)) )],[refute_0_4274,refute_0_4275]) ).
cnf(refute_0_4277,plain,
converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_4276]) ).
cnf(refute_0_4278,plain,
join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4279,plain,
( converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != one
| join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4280,plain,
( converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != one
| join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4278,refute_0_4279]) ).
cnf(refute_0_4281,plain,
join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),one) )],[refute_0_4277,refute_0_4280]) ).
cnf(refute_0_4282,plain,
join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4283,plain,
( complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,1],$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4284,plain,
( complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4282,refute_0_4283]) ).
cnf(refute_0_4285,plain,
join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4069,refute_0_4284]) ).
cnf(refute_0_4286,plain,
( join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))
| join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != one
| join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Y,$fot(join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4287,plain,
( join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) != one
| join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_4285,refute_0_4286]) ).
cnf(refute_0_4288,plain,
join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) = one,
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),one) )],[refute_0_4281,refute_0_4287]) ).
cnf(refute_0_4289,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))),bind(X_38,$fot(X_459))]]) ).
cnf(refute_0_4290,plain,
X_427 = meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))))),
inference(subst,[],[refute_0_2089:[bind(X0,$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),bind(X_37,$fot(X_427))]]) ).
cnf(refute_0_4291,plain,
join(one,join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4292,plain,
converse(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))]]) ).
cnf(refute_0_4293,plain,
converse(top) = join(X_27,converse(join(X_26,complement(join(converse(X_27),X_26))))),
inference(subst,[],[refute_0_567:[bind(X0,$fot(X_26)),bind(X_4,$fot(X_27))]]) ).
cnf(refute_0_4294,plain,
join(X_26,converse(X_27)) = join(converse(X_27),X_26),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_26)),bind(X1,$fot(converse(X_27)))]]) ).
cnf(refute_0_4295,plain,
( join(X_26,converse(X_27)) != join(converse(X_27),X_26)
| join(converse(X_27),X_26) = join(X_26,converse(X_27)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_26,converse(X_27)))),bind(Y,$fot(join(converse(X_27),X_26)))]]) ).
cnf(refute_0_4296,plain,
join(converse(X_27),X_26) = join(X_26,converse(X_27)),
inference(resolve,[$cnf( $equal(join(X_26,converse(X_27)),join(converse(X_27),X_26)) )],[refute_0_4294,refute_0_4295]) ).
cnf(refute_0_4297,plain,
( converse(top) != join(X_27,converse(join(X_26,complement(join(converse(X_27),X_26)))))
| join(converse(X_27),X_26) != join(X_26,converse(X_27))
| converse(top) = join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_27,converse(join(X_26,complement(join(converse(X_27),X_26)))))) ),[1,1,0,1,0],$fot(join(X_26,converse(X_27)))]]) ).
cnf(refute_0_4298,plain,
( converse(top) != join(X_27,converse(join(X_26,complement(join(converse(X_27),X_26)))))
| converse(top) = join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27)))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_27),X_26),join(X_26,converse(X_27))) )],[refute_0_4296,refute_0_4297]) ).
cnf(refute_0_4299,plain,
converse(top) = join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(X_26,complement(join(converse(X_27),X_26)))))) )],[refute_0_4293,refute_0_4298]) ).
cnf(refute_0_4300,plain,
( converse(top) != join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27))))))
| converse(top) != top
| top = join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4301,plain,
( converse(top) != join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27))))))
| top = join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_4300]) ).
cnf(refute_0_4302,plain,
top = join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_27,converse(join(X_26,complement(join(X_26,converse(X_27))))))) )],[refute_0_4299,refute_0_4301]) ).
cnf(refute_0_4303,plain,
top = join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0))))))),
inference(subst,[],[refute_0_4302:[bind(X_26,$fot(X_139)),bind(X_27,$fot(converse(X0)))]]) ).
cnf(refute_0_4304,plain,
( top != join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))
| join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))))]]) ).
cnf(refute_0_4305,plain,
join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) )],[refute_0_4303,refute_0_4304]) ).
cnf(refute_0_4306,plain,
( converse(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) != top
| converse(top) = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4307,plain,
( converse(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| converse(top) = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0))))))),top) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
converse(top) = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) )],[refute_0_4292,refute_0_4307]) ).
cnf(refute_0_4309,plain,
( converse(top) != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| converse(top) != top
| top = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4310,plain,
( converse(top) != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| top = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_4309]) ).
cnf(refute_0_4311,plain,
join(X_139,converse(converse(X0))) = join(X_139,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X_139,converse(converse(X0))))]]) ).
cnf(refute_0_4312,plain,
( converse(converse(X0)) != X0
| join(X_139,converse(converse(X0))) != join(X_139,converse(converse(X0)))
| join(X_139,converse(converse(X0))) = join(X_139,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_139,converse(converse(X0))),join(X_139,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_4313,plain,
( converse(converse(X0)) != X0
| join(X_139,converse(converse(X0))) = join(X_139,X0) ),
inference(resolve,[$cnf( $equal(join(X_139,converse(converse(X0))),join(X_139,converse(converse(X0)))) )],[refute_0_4311,refute_0_4312]) ).
cnf(refute_0_4314,plain,
join(X_139,converse(converse(X0))) = join(X_139,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_4313]) ).
cnf(refute_0_4315,plain,
complement(join(X_139,converse(converse(X0)))) = complement(join(X_139,converse(converse(X0)))),
introduced(tautology,[refl,[$fot(complement(join(X_139,converse(converse(X0)))))]]) ).
cnf(refute_0_4316,plain,
( complement(join(X_139,converse(converse(X0)))) != complement(join(X_139,converse(converse(X0))))
| join(X_139,converse(converse(X0))) != join(X_139,X0)
| complement(join(X_139,converse(converse(X0)))) = complement(join(X_139,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_139,converse(converse(X0)))),complement(join(X_139,converse(converse(X0))))) ),[1,0],$fot(join(X_139,X0))]]) ).
cnf(refute_0_4317,plain,
( join(X_139,converse(converse(X0))) != join(X_139,X0)
| complement(join(X_139,converse(converse(X0)))) = complement(join(X_139,X0)) ),
inference(resolve,[$cnf( $equal(complement(join(X_139,converse(converse(X0)))),complement(join(X_139,converse(converse(X0))))) )],[refute_0_4315,refute_0_4316]) ).
cnf(refute_0_4318,plain,
complement(join(X_139,converse(converse(X0)))) = complement(join(X_139,X0)),
inference(resolve,[$cnf( $equal(join(X_139,converse(converse(X0))),join(X_139,X0)) )],[refute_0_4314,refute_0_4317]) ).
cnf(refute_0_4319,plain,
join(X_139,complement(join(X_139,converse(converse(X0))))) = join(X_139,complement(join(X_139,converse(converse(X0))))),
introduced(tautology,[refl,[$fot(join(X_139,complement(join(X_139,converse(converse(X0))))))]]) ).
cnf(refute_0_4320,plain,
( complement(join(X_139,converse(converse(X0)))) != complement(join(X_139,X0))
| join(X_139,complement(join(X_139,converse(converse(X0))))) != join(X_139,complement(join(X_139,converse(converse(X0)))))
| join(X_139,complement(join(X_139,converse(converse(X0))))) = join(X_139,complement(join(X_139,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_139,complement(join(X_139,converse(converse(X0))))),join(X_139,complement(join(X_139,converse(converse(X0)))))) ),[1,1],$fot(complement(join(X_139,X0)))]]) ).
cnf(refute_0_4321,plain,
( complement(join(X_139,converse(converse(X0)))) != complement(join(X_139,X0))
| join(X_139,complement(join(X_139,converse(converse(X0))))) = join(X_139,complement(join(X_139,X0))) ),
inference(resolve,[$cnf( $equal(join(X_139,complement(join(X_139,converse(converse(X0))))),join(X_139,complement(join(X_139,converse(converse(X0)))))) )],[refute_0_4319,refute_0_4320]) ).
cnf(refute_0_4322,plain,
join(X_139,complement(join(X_139,converse(converse(X0))))) = join(X_139,complement(join(X_139,X0))),
inference(resolve,[$cnf( $equal(complement(join(X_139,converse(converse(X0)))),complement(join(X_139,X0))) )],[refute_0_4318,refute_0_4321]) ).
cnf(refute_0_4323,plain,
converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) = join(X_139,complement(join(X_139,converse(converse(X0))))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(X_139,complement(join(X_139,converse(converse(X0)))))))]]) ).
cnf(refute_0_4324,plain,
( converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) != join(X_139,complement(join(X_139,converse(converse(X0)))))
| join(X_139,complement(join(X_139,converse(converse(X0))))) != join(X_139,complement(join(X_139,X0)))
| converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) = join(X_139,complement(join(X_139,X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))),bind(Y,$fot(join(X_139,complement(join(X_139,converse(converse(X0))))))),bind(Z,$fot(join(X_139,complement(join(X_139,X0)))))]]) ).
cnf(refute_0_4325,plain,
( join(X_139,complement(join(X_139,converse(converse(X0))))) != join(X_139,complement(join(X_139,X0)))
| converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) = join(X_139,complement(join(X_139,X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))),join(X_139,complement(join(X_139,converse(converse(X0)))))) )],[refute_0_4323,refute_0_4324]) ).
cnf(refute_0_4326,plain,
converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) = join(X_139,complement(join(X_139,X0))),
inference(resolve,[$cnf( $equal(join(X_139,complement(join(X_139,converse(converse(X0))))),join(X_139,complement(join(X_139,X0)))) )],[refute_0_4322,refute_0_4325]) ).
cnf(refute_0_4327,plain,
join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) = join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))))]]) ).
cnf(refute_0_4328,plain,
( converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) != join(X_139,complement(join(X_139,X0)))
| join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) = join(X0,join(X_139,complement(join(X_139,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) ),[1,1],$fot(join(X_139,complement(join(X_139,X0))))]]) ).
cnf(refute_0_4329,plain,
( converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))) != join(X_139,complement(join(X_139,X0)))
| join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) = join(X0,join(X_139,complement(join(X_139,X0)))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) )],[refute_0_4327,refute_0_4328]) ).
cnf(refute_0_4330,plain,
join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) = join(X0,join(X_139,complement(join(X_139,X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))),join(X_139,complement(join(X_139,X0)))) )],[refute_0_4326,refute_0_4329]) ).
cnf(refute_0_4331,plain,
( join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))) != join(X0,join(X_139,complement(join(X_139,X0))))
| top != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| top = join(X0,join(X_139,complement(join(X_139,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) ),[1],$fot(join(X0,join(X_139,complement(join(X_139,X0)))))]]) ).
cnf(refute_0_4332,plain,
( top != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| top = join(X0,join(X_139,complement(join(X_139,X0)))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0)))))))),join(X0,join(X_139,complement(join(X_139,X0))))) )],[refute_0_4330,refute_0_4331]) ).
cnf(refute_0_4333,plain,
( converse(top) != join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))
| top = join(X0,join(X_139,complement(join(X_139,X0)))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) )],[refute_0_4310,refute_0_4332]) ).
cnf(refute_0_4334,plain,
top = join(X0,join(X_139,complement(join(X_139,X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(converse(join(X_139,complement(join(X_139,converse(converse(X0))))))))) )],[refute_0_4308,refute_0_4333]) ).
cnf(refute_0_4335,plain,
top = join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4334:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_139,$fot(X_199))]]) ).
cnf(refute_0_4336,plain,
( top != join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4337,plain,
join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) )],[refute_0_4335,refute_0_4336]) ).
cnf(refute_0_4338,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) != join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) != top
| join(one,top) = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))),join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4339,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) != join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))
| join(one,top) = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))),top) )],[refute_0_4337,refute_0_4338]) ).
cnf(refute_0_4340,plain,
join(one,top) = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))),join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) )],[refute_0_4291,refute_0_4339]) ).
cnf(refute_0_4341,plain,
( join(one,top) != join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))
| join(one,top) != top
| top = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4342,plain,
( join(one,top) != join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))
| top = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_4341]) ).
cnf(refute_0_4343,plain,
top = join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_199,complement(join(X_199,skolemFOFtoCNF_X0))))) )],[refute_0_4340,refute_0_4342]) ).
cnf(refute_0_4344,plain,
top = join(one,join(X_226,complement(join(X_226,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4343:[bind(X_199,$fot(X_226))]]) ).
cnf(refute_0_4345,plain,
join(skolemFOFtoCNF_X0,X_226) = join(X_226,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_226))]]) ).
cnf(refute_0_4346,plain,
( join(skolemFOFtoCNF_X0,X_226) != join(X_226,skolemFOFtoCNF_X0)
| join(X_226,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_226) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_226))),bind(Y,$fot(join(X_226,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4347,plain,
join(X_226,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_226),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_226),join(X_226,skolemFOFtoCNF_X0)) )],[refute_0_4345,refute_0_4346]) ).
cnf(refute_0_4348,plain,
( join(X_226,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_226)
| top != join(one,join(X_226,complement(join(X_226,skolemFOFtoCNF_X0))))
| top = join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(X_226,complement(join(X_226,skolemFOFtoCNF_X0))))) ),[1,1,1,0],$fot(join(skolemFOFtoCNF_X0,X_226))]]) ).
cnf(refute_0_4349,plain,
( top != join(one,join(X_226,complement(join(X_226,skolemFOFtoCNF_X0))))
| top = join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226)))) ),
inference(resolve,[$cnf( $equal(join(X_226,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_226)) )],[refute_0_4347,refute_0_4348]) ).
cnf(refute_0_4350,plain,
top = join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226)))),
inference(resolve,[$cnf( $equal(top,join(one,join(X_226,complement(join(X_226,skolemFOFtoCNF_X0))))) )],[refute_0_4344,refute_0_4349]) ).
cnf(refute_0_4351,plain,
join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226)))) = join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)),
inference(subst,[],[refute_0_661:[bind(X0,$fot(one)),bind(X_56,$fot(X_226)),bind(X_57,$fot(complement(join(skolemFOFtoCNF_X0,X_226))))]]) ).
cnf(refute_0_4352,plain,
( join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226)))) != join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one))
| top != join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226))))
| top = join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226))))) ),[1],$fot(join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)))]]) ).
cnf(refute_0_4353,plain,
( top != join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226))))
| top = join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226)))),join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one))) )],[refute_0_4351,refute_0_4352]) ).
cnf(refute_0_4354,plain,
top = join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)),
inference(resolve,[$cnf( $equal(top,join(one,join(X_226,complement(join(skolemFOFtoCNF_X0,X_226))))) )],[refute_0_4350,refute_0_4353]) ).
cnf(refute_0_4355,plain,
join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)) = join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226)))),
inference(subst,[],[refute_0_710:[bind(X_56,$fot(X_226)),bind(X_57,$fot(complement(join(skolemFOFtoCNF_X0,X_226)))),bind(X_58,$fot(one))]]) ).
cnf(refute_0_4356,plain,
( join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)) != join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226))))
| top != join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one))
| top = join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one))) ),[1],$fot(join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226)))))]]) ).
cnf(refute_0_4357,plain,
( top != join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one))
| top = join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226)))) ),
inference(resolve,[$cnf( $equal(join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one)),join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226))))) )],[refute_0_4355,refute_0_4356]) ).
cnf(refute_0_4358,plain,
top = join(X_226,join(one,complement(join(skolemFOFtoCNF_X0,X_226)))),
inference(resolve,[$cnf( $equal(top,join(X_226,join(complement(join(skolemFOFtoCNF_X0,X_226)),one))) )],[refute_0_4354,refute_0_4357]) ).
cnf(refute_0_4359,plain,
top = join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),
inference(subst,[],[refute_0_4358:[bind(X_226,$fot(complement(converse(X_427))))]]) ).
cnf(refute_0_4360,plain,
( top != join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))
| join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))]]) ).
cnf(refute_0_4361,plain,
join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) )],[refute_0_4359,refute_0_4360]) ).
cnf(refute_0_4362,plain,
( X_427 != meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))))
| join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) != top
| X_427 = meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_427,meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_4363,plain,
( X_427 != meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))))
| X_427 = meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),top) )],[refute_0_4361,refute_0_4362]) ).
cnf(refute_0_4364,plain,
X_427 = meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))),
inference(resolve,[$cnf( $equal(X_427,meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(complement(converse(X_427)),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))))) )],[refute_0_4290,refute_0_4363]) ).
cnf(refute_0_4365,plain,
meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))) = join(skolemFOFtoCNF_X0,complement(converse(X_427))),
inference(subst,[],[refute_0_1963:[bind(X_50,$fot(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))]]) ).
cnf(refute_0_4366,plain,
complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))))]]) ).
cnf(refute_0_4367,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) != complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))))
| meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))) != join(skolemFOFtoCNF_X0,complement(converse(X_427)))
| complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(converse(X_427))))]]) ).
cnf(refute_0_4368,plain,
( meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))) != join(skolemFOFtoCNF_X0,complement(converse(X_427)))
| complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) )],[refute_0_4366,refute_0_4367]) ).
cnf(refute_0_4369,plain,
complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),
inference(resolve,[$cnf( $equal(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))),join(skolemFOFtoCNF_X0,complement(converse(X_427)))) )],[refute_0_4365,refute_0_4368]) ).
cnf(refute_0_4370,plain,
join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(top)),bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))]]) ).
cnf(refute_0_4371,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) != complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))
| join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) != complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))))
| join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),bind(Y,$fot(complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))]]) ).
cnf(refute_0_4372,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))) != complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))
| join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) )],[refute_0_4370,refute_0_4371]) ).
cnf(refute_0_4373,plain,
join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) = complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) )],[refute_0_4369,refute_0_4372]) ).
cnf(refute_0_4374,plain,
join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))]]) ).
cnf(refute_0_4375,plain,
( join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) != complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) != join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))]]) ).
cnf(refute_0_4376,plain,
( join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) != complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) )],[refute_0_4374,refute_0_4375]) ).
cnf(refute_0_4377,plain,
join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))) )],[refute_0_4373,refute_0_4376]) ).
cnf(refute_0_4378,plain,
converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))]]) ).
cnf(refute_0_4379,plain,
( converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))
| converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) ),[1,0],$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))]]) ).
cnf(refute_0_4380,plain,
( join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))
| converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) )],[refute_0_4378,refute_0_4379]) ).
cnf(refute_0_4381,plain,
converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) )],[refute_0_4377,refute_0_4380]) ).
cnf(refute_0_4382,plain,
converse(join(join(X_346,X_344),X1)) = converse(join(X1,join(X_346,X_344))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(join(X_346,X_344)))]]) ).
cnf(refute_0_4383,plain,
converse(join(X1,join(X_346,X_344))) = converse(join(X_346,join(X1,X_344))),
inference(subst,[],[refute_0_2602:[bind(X1,$fot(X_344)),bind(X_15,$fot(X1)),bind(X_16,$fot(X_346))]]) ).
cnf(refute_0_4384,plain,
( converse(join(X1,join(X_346,X_344))) != converse(join(X_346,join(X1,X_344)))
| converse(join(join(X_346,X_344),X1)) != converse(join(X1,join(X_346,X_344)))
| converse(join(join(X_346,X_344),X1)) = converse(join(X_346,join(X1,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(X1,join(X_346,X_344)))) ),[1],$fot(converse(join(X_346,join(X1,X_344))))]]) ).
cnf(refute_0_4385,plain,
( converse(join(join(X_346,X_344),X1)) != converse(join(X1,join(X_346,X_344)))
| converse(join(join(X_346,X_344),X1)) = converse(join(X_346,join(X1,X_344))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,join(X_346,X_344))),converse(join(X_346,join(X1,X_344)))) )],[refute_0_4383,refute_0_4384]) ).
cnf(refute_0_4386,plain,
converse(join(join(X_346,X_344),X1)) = converse(join(X_346,join(X1,X_344))),
inference(resolve,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(X1,join(X_346,X_344)))) )],[refute_0_4382,refute_0_4385]) ).
cnf(refute_0_4387,plain,
join(join(X_346,X_344),X1) = join(X_346,join(X_344,X1)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_346)),bind(X1,$fot(X_344)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_4388,plain,
converse(join(join(X_346,X_344),X1)) = converse(join(join(X_346,X_344),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_346,X_344),X1)))]]) ).
cnf(refute_0_4389,plain,
( converse(join(join(X_346,X_344),X1)) != converse(join(join(X_346,X_344),X1))
| join(join(X_346,X_344),X1) != join(X_346,join(X_344,X1))
| converse(join(join(X_346,X_344),X1)) = converse(join(X_346,join(X_344,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(join(X_346,X_344),X1))) ),[1,0],$fot(join(X_346,join(X_344,X1)))]]) ).
cnf(refute_0_4390,plain,
( join(join(X_346,X_344),X1) != join(X_346,join(X_344,X1))
| converse(join(join(X_346,X_344),X1)) = converse(join(X_346,join(X_344,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(join(X_346,X_344),X1))) )],[refute_0_4388,refute_0_4389]) ).
cnf(refute_0_4391,plain,
converse(join(join(X_346,X_344),X1)) = converse(join(X_346,join(X_344,X1))),
inference(resolve,[$cnf( $equal(join(join(X_346,X_344),X1),join(X_346,join(X_344,X1))) )],[refute_0_4387,refute_0_4390]) ).
cnf(refute_0_4392,plain,
( converse(join(join(X_346,X_344),X1)) != converse(join(X_346,join(X1,X_344)))
| converse(join(join(X_346,X_344),X1)) != converse(join(X_346,join(X_344,X1)))
| converse(join(X_346,join(X_344,X1))) = converse(join(X_346,join(X1,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(X_346,join(X1,X_344)))) ),[0],$fot(converse(join(X_346,join(X_344,X1))))]]) ).
cnf(refute_0_4393,plain,
( converse(join(join(X_346,X_344),X1)) != converse(join(X_346,join(X1,X_344)))
| converse(join(X_346,join(X_344,X1))) = converse(join(X_346,join(X1,X_344))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(X_346,join(X_344,X1)))) )],[refute_0_4391,refute_0_4392]) ).
cnf(refute_0_4394,plain,
converse(join(X_346,join(X_344,X1))) = converse(join(X_346,join(X1,X_344))),
inference(resolve,[$cnf( $equal(converse(join(join(X_346,X_344),X1)),converse(join(X_346,join(X1,X_344)))) )],[refute_0_4386,refute_0_4393]) ).
cnf(refute_0_4395,plain,
( converse(join(X_346,join(X_344,X1))) != converse(join(X_346,join(X1,X_344)))
| converse(join(X_346,join(X1,X_344))) = converse(join(X_346,join(X_344,X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_346,join(X_344,X1))))),bind(Y,$fot(converse(join(X_346,join(X1,X_344)))))]]) ).
cnf(refute_0_4396,plain,
converse(join(X_346,join(X1,X_344))) = converse(join(X_346,join(X_344,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_346,join(X_344,X1))),converse(join(X_346,join(X1,X_344)))) )],[refute_0_4394,refute_0_4395]) ).
cnf(refute_0_4397,plain,
converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top)))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
inference(subst,[],[refute_0_4396:[bind(X1,$fot(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),bind(X_344,$fot(complement(top))),bind(X_346,$fot(one))]]) ).
cnf(refute_0_4398,plain,
converse(join(X_345,join(X_346,X_344))) = converse(join(X_346,join(X_345,X_344))),
inference(subst,[],[refute_0_2602:[bind(X1,$fot(X_344)),bind(X_15,$fot(X_345)),bind(X_16,$fot(X_346))]]) ).
cnf(refute_0_4399,plain,
join(X_344,X_346) = join(X_346,X_344),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_344)),bind(X1,$fot(X_346))]]) ).
cnf(refute_0_4400,plain,
( join(X_344,X_346) != join(X_346,X_344)
| join(X_346,X_344) = join(X_344,X_346) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_344,X_346))),bind(Y,$fot(join(X_346,X_344)))]]) ).
cnf(refute_0_4401,plain,
join(X_346,X_344) = join(X_344,X_346),
inference(resolve,[$cnf( $equal(join(X_344,X_346),join(X_346,X_344)) )],[refute_0_4399,refute_0_4400]) ).
cnf(refute_0_4402,plain,
( converse(join(X_345,join(X_346,X_344))) != converse(join(X_346,join(X_345,X_344)))
| join(X_346,X_344) != join(X_344,X_346)
| converse(join(X_345,join(X_344,X_346))) = converse(join(X_346,join(X_345,X_344))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_345,join(X_346,X_344))),converse(join(X_346,join(X_345,X_344)))) ),[0,0,1],$fot(join(X_344,X_346))]]) ).
cnf(refute_0_4403,plain,
( converse(join(X_345,join(X_346,X_344))) != converse(join(X_346,join(X_345,X_344)))
| converse(join(X_345,join(X_344,X_346))) = converse(join(X_346,join(X_345,X_344))) ),
inference(resolve,[$cnf( $equal(join(X_346,X_344),join(X_344,X_346)) )],[refute_0_4401,refute_0_4402]) ).
cnf(refute_0_4404,plain,
converse(join(X_345,join(X_344,X_346))) = converse(join(X_346,join(X_345,X_344))),
inference(resolve,[$cnf( $equal(converse(join(X_345,join(X_346,X_344))),converse(join(X_346,join(X_345,X_344)))) )],[refute_0_4398,refute_0_4403]) ).
cnf(refute_0_4405,plain,
( converse(join(X_345,join(X_344,X_346))) != converse(join(X_346,join(X_345,X_344)))
| converse(join(X_346,join(X_345,X_344))) = converse(join(X_345,join(X_344,X_346))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_345,join(X_344,X_346))))),bind(Y,$fot(converse(join(X_346,join(X_345,X_344)))))]]) ).
cnf(refute_0_4406,plain,
converse(join(X_346,join(X_345,X_344))) = converse(join(X_345,join(X_344,X_346))),
inference(resolve,[$cnf( $equal(converse(join(X_345,join(X_344,X_346))),converse(join(X_346,join(X_345,X_344)))) )],[refute_0_4404,refute_0_4405]) ).
cnf(refute_0_4407,plain,
converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top)))),
inference(subst,[],[refute_0_4406:[bind(X_344,$fot(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),bind(X_345,$fot(one)),bind(X_346,$fot(complement(top)))]]) ).
cnf(refute_0_4408,plain,
( converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) != converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top))))
| converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top)))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))),bind(Y,$fot(converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top)))))),bind(Z,$fot(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))))]]) ).
cnf(refute_0_4409,plain,
( converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top)))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top))))) )],[refute_0_4407,refute_0_4408]) ).
cnf(refute_0_4410,plain,
converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))),complement(top)))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) )],[refute_0_4397,refute_0_4409]) ).
cnf(refute_0_4411,plain,
converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
inference(subst,[],[refute_0_2690:[bind(X_16,$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),bind(X_421,$fot(top))]]) ).
cnf(refute_0_4412,plain,
( converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) != converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))),bind(Y,$fot(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))),bind(Z,$fot(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))))]]) ).
cnf(refute_0_4413,plain,
( converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))),converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) )],[refute_0_4411,refute_0_4412]) ).
cnf(refute_0_4414,plain,
converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) )],[refute_0_4410,refute_0_4413]) ).
cnf(refute_0_4415,plain,
( converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))
| converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))),bind(Y,$fot(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))),bind(Z,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))))]]) ).
cnf(refute_0_4416,plain,
( converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))
| converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) )],[refute_0_4414,refute_0_4415]) ).
cnf(refute_0_4417,plain,
converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) )],[refute_0_4381,refute_0_4416]) ).
cnf(refute_0_4418,plain,
meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) = meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))),
introduced(tautology,[refl,[$fot(meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))))]]) ).
cnf(refute_0_4419,plain,
( converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))
| meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) != meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))
| meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) = meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))),meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))) ),[1,1],$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))]]) ).
cnf(refute_0_4420,plain,
( converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))
| meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) = meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
inference(resolve,[$cnf( $equal(meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))),meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))) )],[refute_0_4418,refute_0_4419]) ).
cnf(refute_0_4421,plain,
meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) = meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
inference(resolve,[$cnf( $equal(converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) )],[refute_0_4417,refute_0_4420]) ).
cnf(refute_0_4422,plain,
( X_427 != meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))
| meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))) != meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))
| X_427 = meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_427,meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) ),[0],$fot(meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))))]]) ).
cnf(refute_0_4423,plain,
( X_427 != meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))
| X_427 = meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))) ),
inference(resolve,[$cnf( $equal(meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top)))),meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427)))))))) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
X_427 = meet(X_427,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))))),
inference(resolve,[$cnf( $equal(X_427,meet(X_427,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_427))))),complement(top))))) )],[refute_0_4364,refute_0_4423]) ).
cnf(refute_0_4425,plain,
X_459 = meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),
inference(subst,[],[refute_0_4424:[bind(X_427,$fot(X_459))]]) ).
cnf(refute_0_4426,plain,
( X_459 != meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))
| meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = X_459 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_459)),bind(Y,$fot(meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))))]]) ).
cnf(refute_0_4427,plain,
meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = X_459,
inference(resolve,[$cnf( $equal(X_459,meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) )],[refute_0_4425,refute_0_4426]) ).
cnf(refute_0_4428,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != X_459
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) ),[0,1],$fot(X_459)]]) ).
cnf(refute_0_4429,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),
inference(resolve,[$cnf( $equal(meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),X_459) )],[refute_0_4427,refute_0_4428]) ).
cnf(refute_0_4430,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),meet(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) )],[refute_0_4289,refute_0_4429]) ).
cnf(refute_0_4431,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) = join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(X_459)),bind(X_56,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))))]]) ).
cnf(refute_0_4432,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) != join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) ),[0],$fot(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))))]]) ).
cnf(refute_0_4433,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459),join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) )],[refute_0_4431,refute_0_4432]) ).
cnf(refute_0_4434,plain,
join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),X_459),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) )],[refute_0_4430,refute_0_4433]) ).
cnf(refute_0_4435,plain,
join(X_459,join(one,X_459)) = join(X_459,one),
inference(subst,[],[refute_0_2657:[bind(X1,$fot(X_459)),bind(X_134,$fot(one))]]) ).
cnf(refute_0_4436,plain,
join(converse(one),X_459) = join(converse(one),X_459),
introduced(tautology,[refl,[$fot(join(converse(one),X_459))]]) ).
cnf(refute_0_4437,plain,
( converse(one) != one
| join(converse(one),X_459) != join(converse(one),X_459)
| join(converse(one),X_459) = join(one,X_459) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_459),join(converse(one),X_459)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4438,plain,
( converse(one) != one
| join(converse(one),X_459) = join(one,X_459) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_459),join(converse(one),X_459)) )],[refute_0_4436,refute_0_4437]) ).
cnf(refute_0_4439,plain,
join(converse(one),X_459) = join(one,X_459),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_4438]) ).
cnf(refute_0_4440,plain,
converse(join(one,converse(X_459))) = join(converse(one),X_459),
inference(subst,[],[refute_0_550:[bind(X0,$fot(X_459)),bind(X_4,$fot(one))]]) ).
cnf(refute_0_4441,plain,
( converse(join(one,converse(X_459))) != join(converse(one),X_459)
| join(converse(one),X_459) != join(one,X_459)
| converse(join(one,converse(X_459))) = join(one,X_459) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(one,converse(X_459))))),bind(Y,$fot(join(converse(one),X_459))),bind(Z,$fot(join(one,X_459)))]]) ).
cnf(refute_0_4442,plain,
( join(converse(one),X_459) != join(one,X_459)
| converse(join(one,converse(X_459))) = join(one,X_459) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X_459))),join(converse(one),X_459)) )],[refute_0_4440,refute_0_4441]) ).
cnf(refute_0_4443,plain,
converse(join(one,converse(X_459))) = join(one,X_459),
inference(resolve,[$cnf( $equal(join(converse(one),X_459),join(one,X_459)) )],[refute_0_4439,refute_0_4442]) ).
cnf(refute_0_4444,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))),bind(X_38,$fot(converse(X0)))]]) ).
cnf(refute_0_4445,plain,
converse(X0) = meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(converse(X0)))))))),
inference(subst,[],[refute_0_4424:[bind(X_427,$fot(converse(X0)))]]) ).
cnf(refute_0_4446,plain,
( converse(X0) != meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(converse(X0))))))))
| converse(converse(X0)) != X0
| converse(X0) = meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X0),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(converse(X0))))))))) ),[1,1,0,1,0,1,0],$fot(X0)]]) ).
cnf(refute_0_4447,plain,
( converse(X0) != meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(converse(X0))))))))
| converse(X0) = meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_4446]) ).
cnf(refute_0_4448,plain,
converse(X0) = meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(resolve,[$cnf( $equal(converse(X0),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(converse(X0))))))))) )],[refute_0_4445,refute_0_4447]) ).
cnf(refute_0_4449,plain,
( converse(X0) != meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(X0))),bind(Y,$fot(meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))))]]) ).
cnf(refute_0_4450,plain,
meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(X0),
inference(resolve,[$cnf( $equal(converse(X0),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4448,refute_0_4449]) ).
cnf(refute_0_4451,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(X0)
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),[0,1],$fot(converse(X0))]]) ).
cnf(refute_0_4452,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),
inference(resolve,[$cnf( $equal(meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(X0)) )],[refute_0_4450,refute_0_4451]) ).
cnf(refute_0_4453,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),meet(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4444,refute_0_4452]) ).
cnf(refute_0_4454,plain,
join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))]]) ).
cnf(refute_0_4455,plain,
join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))) = converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))),
inference(subst,[],[refute_0_2683:[bind(X_422,$fot(join(skolemFOFtoCNF_X0,complement(X0))))]]) ).
cnf(refute_0_4456,plain,
join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))))]]) ).
cnf(refute_0_4457,plain,
( join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))) != converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) != join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))) ),[1,1],$fot(converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))]]) ).
cnf(refute_0_4458,plain,
( join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))) != converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4456,refute_0_4457]) ).
cnf(refute_0_4459,plain,
join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(resolve,[$cnf( $equal(join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))),converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4455,refute_0_4458]) ).
cnf(refute_0_4460,plain,
( join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) != join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))))),bind(Y,$fot(join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))))),bind(Z,$fot(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))))]]) ).
cnf(refute_0_4461,plain,
( join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4459,refute_0_4460]) ).
cnf(refute_0_4462,plain,
join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4454,refute_0_4461]) ).
cnf(refute_0_4463,plain,
join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),
inference(subst,[],[refute_0_1192:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_8,$fot(X_150)),bind(X_9,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4464,plain,
one = join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_94:[bind(X1,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_37,$fot(one))]]) ).
cnf(refute_0_4465,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_4466,plain,
converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4467,plain,
join(one,join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) = join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4468,plain,
top = join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4302:[bind(X_26,$fot(X_139)),bind(X_27,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4469,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4470,plain,
join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4468,refute_0_4469]) ).
cnf(refute_0_4471,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) != top
| join(one,top) = join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))),join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4472,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| join(one,top) = join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),top) )],[refute_0_4470,refute_0_4471]) ).
cnf(refute_0_4473,plain,
join(one,top) = join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))),join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4467,refute_0_4472]) ).
cnf(refute_0_4474,plain,
( join(one,top) != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| join(one,top) != top
| top = join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4475,plain,
( join(one,top) != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| top = join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_801,refute_0_4474]) ).
cnf(refute_0_4476,plain,
join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) = converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4477,plain,
( join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) != converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| top != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| top = converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4478,plain,
( top != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| top = converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4476,refute_0_4477]) ).
cnf(refute_0_4479,plain,
( join(one,top) != join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))
| top = converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4475,refute_0_4478]) ).
cnf(refute_0_4480,plain,
top = converse(join(one,join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,converse(join(X_139,complement(join(X_139,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4473,refute_0_4479]) ).
cnf(refute_0_4481,plain,
top = converse(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4480:[bind(X_139,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4482,plain,
join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4483,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| top != converse(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| top = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4484,plain,
( top != converse(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| top = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4482,refute_0_4483]) ).
cnf(refute_0_4485,plain,
top = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4481,refute_0_4484]) ).
cnf(refute_0_4486,plain,
( top != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4487,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4485,refute_0_4486]) ).
cnf(refute_0_4488,plain,
( converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != top
| converse(top) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4489,plain,
( converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(top) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_4487,refute_0_4488]) ).
cnf(refute_0_4490,plain,
converse(top) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4466,refute_0_4489]) ).
cnf(refute_0_4491,plain,
( converse(top) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(top) != top
| top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4492,plain,
( converse(top) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_4491]) ).
cnf(refute_0_4493,plain,
top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4490,refute_0_4492]) ).
cnf(refute_0_4494,plain,
( top != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4495,plain,
join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4493,refute_0_4494]) ).
cnf(refute_0_4496,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != top
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_4497,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_4495,refute_0_4496]) ).
cnf(refute_0_4498,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4465,refute_0_4497]) ).
cnf(refute_0_4499,plain,
join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4500,plain,
meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4501,plain,
join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_4502,plain,
( join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))) ),[1,1],$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4503,plain,
( meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_4501,refute_0_4502]) ).
cnf(refute_0_4504,plain,
join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4500,refute_0_4503]) ).
cnf(refute_0_4505,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_4506,plain,
( complement(top) != zero
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4507,plain,
( complement(top) != zero
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_4505,refute_0_4506]) ).
cnf(refute_0_4508,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_4507]) ).
cnf(refute_0_4509,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))
| join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)))),bind(Y,$fot(join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4510,plain,
( join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_4508,refute_0_4509]) ).
cnf(refute_0_4511,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4504,refute_0_4510]) ).
cnf(refute_0_4512,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)))),bind(Y,$fot(join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4513,plain,
( join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4511,refute_0_4512]) ).
cnf(refute_0_4514,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4499,refute_0_4513]) ).
cnf(refute_0_4515,plain,
join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) = join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_4516,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) != join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))
| join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4517,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)),join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_4515,refute_0_4516]) ).
cnf(refute_0_4518,plain,
join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4514,refute_0_4517]) ).
cnf(refute_0_4519,plain,
( join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top))) ),[1],$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4520,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4518,refute_0_4519]) ).
cnf(refute_0_4521,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),complement(top))) )],[refute_0_4498,refute_0_4520]) ).
cnf(refute_0_4522,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4523,plain,
meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4521,refute_0_4522]) ).
cnf(refute_0_4524,plain,
( meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| one != join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4525,plain,
( one != join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_4523,refute_0_4524]) ).
cnf(refute_0_4526,plain,
one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4464,refute_0_4525]) ).
cnf(refute_0_4527,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4528,plain,
( join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| one != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4529,plain,
( one != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4527,refute_0_4528]) ).
cnf(refute_0_4530,plain,
one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(one,join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4526,refute_0_4529]) ).
cnf(refute_0_4531,plain,
( one != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4532,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4530,refute_0_4531]) ).
cnf(refute_0_4533,plain,
( join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != one
| join(converse(one),X_150) = join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_4534,plain,
( join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(converse(one),X_150) = join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4532,refute_0_4533]) ).
cnf(refute_0_4535,plain,
join(converse(one),X_150) = join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4463,refute_0_4534]) ).
cnf(refute_0_4536,plain,
join(converse(one),X_150) = join(converse(one),X_150),
introduced(tautology,[refl,[$fot(join(converse(one),X_150))]]) ).
cnf(refute_0_4537,plain,
( converse(one) != one
| join(converse(one),X_150) != join(converse(one),X_150)
| join(converse(one),X_150) = join(one,X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_150),join(converse(one),X_150)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4538,plain,
( converse(one) != one
| join(converse(one),X_150) = join(one,X_150) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_150),join(converse(one),X_150)) )],[refute_0_4536,refute_0_4537]) ).
cnf(refute_0_4539,plain,
join(converse(one),X_150) = join(one,X_150),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_4538]) ).
cnf(refute_0_4540,plain,
( join(converse(one),X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(converse(one),X_150) != join(one,X_150)
| join(one,X_150) = join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_150),join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) ),[0],$fot(join(one,X_150))]]) ).
cnf(refute_0_4541,plain,
( join(converse(one),X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(one,X_150) = join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_150),join(one,X_150)) )],[refute_0_4539,refute_0_4540]) ).
cnf(refute_0_4542,plain,
join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(X2,$fot(X_150))]]) ).
cnf(refute_0_4543,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_592:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_15,$fot(skolemFOFtoCNF_X0)),bind(X_16,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4544,plain,
join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4545,plain,
( join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4546,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_4544,refute_0_4545]) ).
cnf(refute_0_4547,plain,
join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4543,refute_0_4546]) ).
cnf(refute_0_4548,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_2632:[bind(X_149,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(X_150,$fot(skolemFOFtoCNF_X0)),bind(X_151,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4549,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4550,plain,
( join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_4548,refute_0_4549]) ).
cnf(refute_0_4551,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(converse(join(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4547,refute_0_4550]) ).
cnf(refute_0_4552,plain,
join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),
introduced(tautology,[refl,[$fot(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150))]]) ).
cnf(refute_0_4553,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)
| join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4554,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)) )],[refute_0_4552,refute_0_4553]) ).
cnf(refute_0_4555,plain,
join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4551,refute_0_4554]) ).
cnf(refute_0_4556,plain,
( join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)
| join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150))),bind(Y,$fot(join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))))]]) ).
cnf(refute_0_4557,plain,
( join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)) )],[refute_0_4555,refute_0_4556]) ).
cnf(refute_0_4558,plain,
join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4542,refute_0_4557]) ).
cnf(refute_0_4559,plain,
join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) = join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),
inference(subst,[],[refute_0_3715:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_8,$fot(X_150)),bind(X_9,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4560,plain,
( join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) != join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)
| join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)))),bind(Y,$fot(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))))]]) ).
cnf(refute_0_4561,plain,
( join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150)) )],[refute_0_4559,refute_0_4560]) ).
cnf(refute_0_4562,plain,
join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_150),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4558,refute_0_4561]) ).
cnf(refute_0_4563,plain,
( join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(one,X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(one,X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,X_150),join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) ),[1],$fot(join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)))]]) ).
cnf(refute_0_4564,plain,
( join(one,X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(one,X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4562,refute_0_4563]) ).
cnf(refute_0_4565,plain,
( join(converse(one),X_150) != join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(one,X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) ),
inference(resolve,[$cnf( $equal(join(one,X_150),join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4541,refute_0_4564]) ).
cnf(refute_0_4566,plain,
join(one,X_150) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)),
inference(resolve,[$cnf( $equal(join(converse(one),X_150),join(converse(skolemFOFtoCNF_X0),join(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4535,refute_0_4565]) ).
cnf(refute_0_4567,plain,
join(one,join(X_340,converse(X_342))) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))),
inference(subst,[],[refute_0_4566:[bind(X_150,$fot(join(X_340,converse(X_342))))]]) ).
cnf(refute_0_4568,plain,
converse(join(converse(join(X_15,X_16)),X_5)) = join(join(X_15,X_16),converse(X_5)),
inference(subst,[],[refute_0_537:[bind(X0,$fot(join(X_15,X_16)))]]) ).
cnf(refute_0_4569,plain,
( converse(join(X_15,X_16)) != converse(join(X_16,X_15))
| converse(join(converse(join(X_15,X_16)),X_5)) != join(join(X_15,X_16),converse(X_5))
| converse(join(converse(join(X_16,X_15)),X_5)) = join(join(X_15,X_16),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_15,X_16)),X_5)),join(join(X_15,X_16),converse(X_5))) ),[0,0,0],$fot(converse(join(X_16,X_15)))]]) ).
cnf(refute_0_4570,plain,
( converse(join(converse(join(X_15,X_16)),X_5)) != join(join(X_15,X_16),converse(X_5))
| converse(join(converse(join(X_16,X_15)),X_5)) = join(join(X_15,X_16),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,X_16)),converse(join(X_16,X_15))) )],[refute_0_584,refute_0_4569]) ).
cnf(refute_0_4571,plain,
converse(join(converse(join(X_16,X_15)),X_5)) = join(join(X_15,X_16),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_15,X_16)),X_5)),join(join(X_15,X_16),converse(X_5))) )],[refute_0_4568,refute_0_4570]) ).
cnf(refute_0_4572,plain,
join(join(X_16,X_15),converse(X_5)) = join(X_16,join(X_15,converse(X_5))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_16)),bind(X1,$fot(X_15)),bind(X2,$fot(converse(X_5)))]]) ).
cnf(refute_0_4573,plain,
converse(join(converse(join(X_16,X_15)),X_5)) = join(join(X_16,X_15),converse(X_5)),
inference(subst,[],[refute_0_537:[bind(X0,$fot(join(X_16,X_15)))]]) ).
cnf(refute_0_4574,plain,
( converse(join(converse(join(X_16,X_15)),X_5)) != join(join(X_16,X_15),converse(X_5))
| join(join(X_16,X_15),converse(X_5)) != join(X_16,join(X_15,converse(X_5)))
| converse(join(converse(join(X_16,X_15)),X_5)) = join(X_16,join(X_15,converse(X_5))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(join(X_16,X_15)),X_5)))),bind(Y,$fot(join(join(X_16,X_15),converse(X_5)))),bind(Z,$fot(join(X_16,join(X_15,converse(X_5)))))]]) ).
cnf(refute_0_4575,plain,
( join(join(X_16,X_15),converse(X_5)) != join(X_16,join(X_15,converse(X_5)))
| converse(join(converse(join(X_16,X_15)),X_5)) = join(X_16,join(X_15,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_16,X_15)),X_5)),join(join(X_16,X_15),converse(X_5))) )],[refute_0_4573,refute_0_4574]) ).
cnf(refute_0_4576,plain,
converse(join(converse(join(X_16,X_15)),X_5)) = join(X_16,join(X_15,converse(X_5))),
inference(resolve,[$cnf( $equal(join(join(X_16,X_15),converse(X_5)),join(X_16,join(X_15,converse(X_5)))) )],[refute_0_4572,refute_0_4575]) ).
cnf(refute_0_4577,plain,
( converse(join(converse(join(X_16,X_15)),X_5)) != join(X_16,join(X_15,converse(X_5)))
| converse(join(converse(join(X_16,X_15)),X_5)) != join(join(X_15,X_16),converse(X_5))
| join(X_16,join(X_15,converse(X_5))) = join(join(X_15,X_16),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_16,X_15)),X_5)),join(join(X_15,X_16),converse(X_5))) ),[0],$fot(join(X_16,join(X_15,converse(X_5))))]]) ).
cnf(refute_0_4578,plain,
( converse(join(converse(join(X_16,X_15)),X_5)) != join(join(X_15,X_16),converse(X_5))
| join(X_16,join(X_15,converse(X_5))) = join(join(X_15,X_16),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_16,X_15)),X_5)),join(X_16,join(X_15,converse(X_5)))) )],[refute_0_4576,refute_0_4577]) ).
cnf(refute_0_4579,plain,
join(join(X_15,X_16),converse(X_5)) = join(X_15,join(X_16,converse(X_5))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_15)),bind(X1,$fot(X_16)),bind(X2,$fot(converse(X_5)))]]) ).
cnf(refute_0_4580,plain,
( join(X_16,join(X_15,converse(X_5))) != join(join(X_15,X_16),converse(X_5))
| join(join(X_15,X_16),converse(X_5)) != join(X_15,join(X_16,converse(X_5)))
| join(X_16,join(X_15,converse(X_5))) = join(X_15,join(X_16,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_16,join(X_15,converse(X_5))),join(X_15,join(X_16,converse(X_5)))) ),[0],$fot(join(join(X_15,X_16),converse(X_5)))]]) ).
cnf(refute_0_4581,plain,
( join(X_16,join(X_15,converse(X_5))) != join(join(X_15,X_16),converse(X_5))
| join(X_16,join(X_15,converse(X_5))) = join(X_15,join(X_16,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(join(X_15,X_16),converse(X_5)),join(X_15,join(X_16,converse(X_5)))) )],[refute_0_4579,refute_0_4580]) ).
cnf(refute_0_4582,plain,
( converse(join(converse(join(X_16,X_15)),X_5)) != join(join(X_15,X_16),converse(X_5))
| join(X_16,join(X_15,converse(X_5))) = join(X_15,join(X_16,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(X_16,join(X_15,converse(X_5))),join(join(X_15,X_16),converse(X_5))) )],[refute_0_4578,refute_0_4581]) ).
cnf(refute_0_4583,plain,
join(X_16,join(X_15,converse(X_5))) = join(X_15,join(X_16,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_16,X_15)),X_5)),join(join(X_15,X_16),converse(X_5))) )],[refute_0_4571,refute_0_4582]) ).
cnf(refute_0_4584,plain,
join(one,join(X_340,converse(X_342))) = join(X_340,join(one,converse(X_342))),
inference(subst,[],[refute_0_4583:[bind(X_15,$fot(X_340)),bind(X_16,$fot(one)),bind(X_5,$fot(X_342))]]) ).
cnf(refute_0_4585,plain,
( join(one,join(X_340,converse(X_342))) != join(X_340,join(one,converse(X_342)))
| join(one,join(X_340,converse(X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(X_340,join(one,converse(X_342))) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_340,converse(X_342))),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))) ),[0],$fot(join(X_340,join(one,converse(X_342))))]]) ).
cnf(refute_0_4586,plain,
( join(one,join(X_340,converse(X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(X_340,join(one,converse(X_342))) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_340,converse(X_342))),join(X_340,join(one,converse(X_342)))) )],[refute_0_4584,refute_0_4585]) ).
cnf(refute_0_4587,plain,
join(X_340,join(one,converse(X_342))) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))),
inference(resolve,[$cnf( $equal(join(one,join(X_340,converse(X_342))),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))) )],[refute_0_4567,refute_0_4586]) ).
cnf(refute_0_4588,plain,
join(one,converse(X_342)) = converse(join(one,X_342)),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(X_342))]]) ).
cnf(refute_0_4589,plain,
join(X_340,join(one,converse(X_342))) = join(X_340,join(one,converse(X_342))),
introduced(tautology,[refl,[$fot(join(X_340,join(one,converse(X_342))))]]) ).
cnf(refute_0_4590,plain,
( join(X_340,join(one,converse(X_342))) != join(X_340,join(one,converse(X_342)))
| join(one,converse(X_342)) != converse(join(one,X_342))
| join(X_340,join(one,converse(X_342))) = join(X_340,converse(join(one,X_342))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_340,join(one,converse(X_342))),join(X_340,join(one,converse(X_342)))) ),[1,1],$fot(converse(join(one,X_342)))]]) ).
cnf(refute_0_4591,plain,
( join(one,converse(X_342)) != converse(join(one,X_342))
| join(X_340,join(one,converse(X_342))) = join(X_340,converse(join(one,X_342))) ),
inference(resolve,[$cnf( $equal(join(X_340,join(one,converse(X_342))),join(X_340,join(one,converse(X_342)))) )],[refute_0_4589,refute_0_4590]) ).
cnf(refute_0_4592,plain,
join(X_340,join(one,converse(X_342))) = join(X_340,converse(join(one,X_342))),
inference(resolve,[$cnf( $equal(join(one,converse(X_342)),converse(join(one,X_342))) )],[refute_0_4588,refute_0_4591]) ).
cnf(refute_0_4593,plain,
( join(X_340,join(one,converse(X_342))) != join(X_340,converse(join(one,X_342)))
| join(X_340,join(one,converse(X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(X_340,converse(join(one,X_342))) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_340,join(one,converse(X_342))),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))) ),[0],$fot(join(X_340,converse(join(one,X_342))))]]) ).
cnf(refute_0_4594,plain,
( join(X_340,join(one,converse(X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(X_340,converse(join(one,X_342))) = join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))) ),
inference(resolve,[$cnf( $equal(join(X_340,join(one,converse(X_342))),join(X_340,converse(join(one,X_342)))) )],[refute_0_4592,refute_0_4593]) ).
cnf(refute_0_4595,plain,
( join(one,X_150) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))
| join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) = join(one,X_150) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_150))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))))]]) ).
cnf(refute_0_4596,plain,
join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150)) = join(one,X_150),
inference(resolve,[$cnf( $equal(join(one,X_150),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X_150))) )],[refute_0_4566,refute_0_4595]) ).
cnf(refute_0_4597,plain,
join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))) = join(one,join(X_340,converse(X_342))),
inference(subst,[],[refute_0_4596:[bind(X_150,$fot(join(X_340,converse(X_342))))]]) ).
cnf(refute_0_4598,plain,
( join(X_340,converse(join(one,X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))) != join(one,join(X_340,converse(X_342)))
| join(X_340,converse(join(one,X_342))) = join(one,join(X_340,converse(X_342))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_340,converse(join(one,X_342))),join(one,join(X_340,converse(X_342)))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))))]]) ).
cnf(refute_0_4599,plain,
( join(X_340,converse(join(one,X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(X_340,converse(join(one,X_342))) = join(one,join(X_340,converse(X_342))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342)))),join(one,join(X_340,converse(X_342)))) )],[refute_0_4597,refute_0_4598]) ).
cnf(refute_0_4600,plain,
( join(X_340,join(one,converse(X_342))) != join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))
| join(X_340,converse(join(one,X_342))) = join(one,join(X_340,converse(X_342))) ),
inference(resolve,[$cnf( $equal(join(X_340,converse(join(one,X_342))),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))) )],[refute_0_4594,refute_0_4599]) ).
cnf(refute_0_4601,plain,
join(X_340,converse(join(one,X_342))) = join(one,join(X_340,converse(X_342))),
inference(resolve,[$cnf( $equal(join(X_340,join(one,converse(X_342))),join(skolemFOFtoCNF_X0,join(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(X_340,converse(X_342))))) )],[refute_0_4587,refute_0_4600]) ).
cnf(refute_0_4602,plain,
join(X_444,converse(join(one,complement(X0)))) = join(one,join(X_444,converse(complement(X0)))),
inference(subst,[],[refute_0_4601:[bind(X_340,$fot(X_444)),bind(X_342,$fot(complement(X0)))]]) ).
cnf(refute_0_4603,plain,
( converse(complement(X0)) != complement(converse(X0))
| join(X_444,converse(join(one,complement(X0)))) != join(one,join(X_444,converse(complement(X0))))
| join(X_444,converse(join(one,complement(X0)))) = join(one,join(X_444,complement(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_444,converse(join(one,complement(X0)))),join(one,join(X_444,converse(complement(X0))))) ),[1,1,1],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_4604,plain,
( join(X_444,converse(join(one,complement(X0)))) != join(one,join(X_444,converse(complement(X0))))
| join(X_444,converse(join(one,complement(X0)))) = join(one,join(X_444,complement(converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(X0)),complement(converse(X0))) )],[refute_0_2065,refute_0_4603]) ).
cnf(refute_0_4605,plain,
join(X_444,converse(join(one,complement(X0)))) = join(one,join(X_444,complement(converse(X0)))),
inference(resolve,[$cnf( $equal(join(X_444,converse(join(one,complement(X0)))),join(one,join(X_444,converse(complement(X0))))) )],[refute_0_4602,refute_0_4604]) ).
cnf(refute_0_4606,plain,
join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(subst,[],[refute_0_4605:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(X0)))),bind(X_444,$fot(converse(X0)))]]) ).
cnf(refute_0_4607,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(converse(X0))),bind(X_56,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))))]]) ).
cnf(refute_0_4608,plain,
( join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) != join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)))),bind(Y,$fot(join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))))),bind(Z,$fot(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))))]]) ).
cnf(refute_0_4609,plain,
( join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)),join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4607,refute_0_4608]) ).
cnf(refute_0_4610,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4606,refute_0_4609]) ).
cnf(refute_0_4611,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) != join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)))),bind(Y,$fot(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))))),bind(Z,$fot(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))))]]) ).
cnf(refute_0_4612,plain,
( join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)),join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4610,refute_0_4611]) ).
cnf(refute_0_4613,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X0),complement(converse(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4462,refute_0_4612]) ).
cnf(refute_0_4614,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) != converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),[0],$fot(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))))]]) ).
cnf(refute_0_4615,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)),converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4613,refute_0_4614]) ).
cnf(refute_0_4616,plain,
converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(X0)),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4453,refute_0_4615]) ).
cnf(refute_0_4617,plain,
join(X0,meet(complement(skolemFOFtoCNF_X0),X0)) = X0,
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(X0)),bind(X_38,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4618,plain,
( meet(complement(X_464),X_462) != complement(join(X_464,complement(X_462)))
| complement(join(X_464,complement(X_462))) = meet(complement(X_464),X_462) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_464),X_462))),bind(Y,$fot(complement(join(X_464,complement(X_462)))))]]) ).
cnf(refute_0_4619,plain,
complement(join(X_464,complement(X_462))) = meet(complement(X_464),X_462),
inference(resolve,[$cnf( $equal(meet(complement(X_464),X_462),complement(join(X_464,complement(X_462)))) )],[refute_0_1175,refute_0_4618]) ).
cnf(refute_0_4620,plain,
complement(join(skolemFOFtoCNF_X0,complement(X0))) = meet(complement(skolemFOFtoCNF_X0),X0),
inference(subst,[],[refute_0_4619:[bind(X_462,$fot(X0)),bind(X_464,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4621,plain,
join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))),
introduced(tautology,[refl,[$fot(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))]]) ).
cnf(refute_0_4622,plain,
( complement(join(skolemFOFtoCNF_X0,complement(X0))) != meet(complement(skolemFOFtoCNF_X0),X0)
| join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))
| join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(X0,meet(complement(skolemFOFtoCNF_X0),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))),join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),X0))]]) ).
cnf(refute_0_4623,plain,
( complement(join(skolemFOFtoCNF_X0,complement(X0))) != meet(complement(skolemFOFtoCNF_X0),X0)
| join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(X0,meet(complement(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))),join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) )],[refute_0_4621,refute_0_4622]) ).
cnf(refute_0_4624,plain,
join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(X0,meet(complement(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(X0))),meet(complement(skolemFOFtoCNF_X0),X0)) )],[refute_0_4620,refute_0_4623]) ).
cnf(refute_0_4625,plain,
( join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != join(X0,meet(complement(skolemFOFtoCNF_X0),X0))
| join(X0,meet(complement(skolemFOFtoCNF_X0),X0)) != X0
| join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = X0 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),bind(Y,$fot(join(X0,meet(complement(skolemFOFtoCNF_X0),X0)))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_4626,plain,
( join(X0,meet(complement(skolemFOFtoCNF_X0),X0)) != X0
| join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = X0 ),
inference(resolve,[$cnf( $equal(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))),join(X0,meet(complement(skolemFOFtoCNF_X0),X0))) )],[refute_0_4624,refute_0_4625]) ).
cnf(refute_0_4627,plain,
join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = X0,
inference(resolve,[$cnf( $equal(join(X0,meet(complement(skolemFOFtoCNF_X0),X0)),X0) )],[refute_0_4617,refute_0_4626]) ).
cnf(refute_0_4628,plain,
join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))),
introduced(tautology,[refl,[$fot(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))]]) ).
cnf(refute_0_4629,plain,
( join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != X0
| join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) != join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))),join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_4630,plain,
( join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != X0
| join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))),join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4628,refute_0_4629]) ).
cnf(refute_0_4631,plain,
join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))),X0) )],[refute_0_4627,refute_0_4630]) ).
cnf(refute_0_4632,plain,
converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))))]]) ).
cnf(refute_0_4633,plain,
( converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))
| join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) != join(one,X0)
| converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) ),[1,0],$fot(join(one,X0))]]) ).
cnf(refute_0_4634,plain,
( join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))) != join(one,X0)
| converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))))) )],[refute_0_4632,refute_0_4633]) ).
cnf(refute_0_4635,plain,
converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) = converse(join(one,X0)),
inference(resolve,[$cnf( $equal(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0))))),join(one,X0)) )],[refute_0_4631,refute_0_4634]) ).
cnf(refute_0_4636,plain,
( converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,X0))
| converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| converse(join(one,X0)) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),[0],$fot(converse(join(one,X0)))]]) ).
cnf(refute_0_4637,plain,
( converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| converse(join(one,X0)) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,X0))) )],[refute_0_4635,refute_0_4636]) ).
cnf(refute_0_4638,plain,
join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))),
introduced(tautology,[refl,[$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))]]) ).
cnf(refute_0_4639,plain,
( complement(join(skolemFOFtoCNF_X0,complement(X0))) != meet(complement(skolemFOFtoCNF_X0),X0)
| join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(one,meet(complement(skolemFOFtoCNF_X0),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))),join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),X0))]]) ).
cnf(refute_0_4640,plain,
( complement(join(skolemFOFtoCNF_X0,complement(X0))) != meet(complement(skolemFOFtoCNF_X0),X0)
| join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(one,meet(complement(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))),join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) )],[refute_0_4638,refute_0_4639]) ).
cnf(refute_0_4641,plain,
join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) = join(one,meet(complement(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(X0))),meet(complement(skolemFOFtoCNF_X0),X0)) )],[refute_0_4620,refute_0_4640]) ).
cnf(refute_0_4642,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))]]) ).
cnf(refute_0_4643,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != join(one,meet(complement(skolemFOFtoCNF_X0),X0))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) ),[1,0],$fot(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))]]) ).
cnf(refute_0_4644,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))) != join(one,meet(complement(skolemFOFtoCNF_X0),X0))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4642,refute_0_4643]) ).
cnf(refute_0_4645,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))),join(one,meet(complement(skolemFOFtoCNF_X0),X0))) )],[refute_0_4641,refute_0_4644]) ).
cnf(refute_0_4646,plain,
( converse(join(one,X0)) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))
| converse(join(one,X0)) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X0)),converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))) ),[0],$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))))]]) ).
cnf(refute_0_4647,plain,
( converse(join(one,X0)) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| converse(join(one,X0)) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))) )],[refute_0_4645,refute_0_4646]) ).
cnf(refute_0_4648,plain,
( converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))
| converse(join(one,X0)) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,X0)),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4637,refute_0_4647]) ).
cnf(refute_0_4649,plain,
converse(join(one,X0)) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X0,complement(join(skolemFOFtoCNF_X0,complement(X0)))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(X0)))))) )],[refute_0_4616,refute_0_4648]) ).
cnf(refute_0_4650,plain,
( converse(join(one,X0)) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) = converse(join(one,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X0)))),bind(Y,$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))))]]) ).
cnf(refute_0_4651,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0))) = converse(join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,X0)),converse(join(one,meet(complement(skolemFOFtoCNF_X0),X0)))) )],[refute_0_4649,refute_0_4650]) ).
cnf(refute_0_4652,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) = converse(join(one,converse(X_459))),
inference(subst,[],[refute_0_4651:[bind(X0,$fot(converse(X_459)))]]) ).
cnf(refute_0_4653,plain,
( converse(join(one,converse(X_459))) != join(one,X_459)
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) != converse(join(one,converse(X_459)))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) = join(one,X_459) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))))),bind(Y,$fot(converse(join(one,converse(X_459))))),bind(Z,$fot(join(one,X_459)))]]) ).
cnf(refute_0_4654,plain,
( converse(join(one,converse(X_459))) != join(one,X_459)
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) = join(one,X_459) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))),converse(join(one,converse(X_459)))) )],[refute_0_4652,refute_0_4653]) ).
cnf(refute_0_4655,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) = join(one,X_459),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X_459))),join(one,X_459)) )],[refute_0_4443,refute_0_4654]) ).
cnf(refute_0_4656,plain,
complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))) = meet(complement(skolemFOFtoCNF_X0),converse(X_459)),
inference(subst,[],[refute_0_4619:[bind(X_462,$fot(converse(X_459))),bind(X_464,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4657,plain,
join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))),
introduced(tautology,[refl,[$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))]]) ).
cnf(refute_0_4658,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))) != meet(complement(skolemFOFtoCNF_X0),converse(X_459))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),converse(X_459)))]]) ).
cnf(refute_0_4659,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))) != meet(complement(skolemFOFtoCNF_X0),converse(X_459))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) )],[refute_0_4657,refute_0_4658]) ).
cnf(refute_0_4660,plain,
join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))),meet(complement(skolemFOFtoCNF_X0),converse(X_459))) )],[refute_0_4656,refute_0_4659]) ).
cnf(refute_0_4661,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))]]) ).
cnf(refute_0_4662,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) ),[1,0],$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459))))]]) ).
cnf(refute_0_4663,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) )],[refute_0_4661,refute_0_4662]) ).
cnf(refute_0_4664,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) )],[refute_0_4660,refute_0_4663]) ).
cnf(refute_0_4665,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) != join(one,X_459)
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = join(one,X_459) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))),bind(Y,$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))))),bind(Z,$fot(join(one,X_459)))]]) ).
cnf(refute_0_4666,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))) != join(one,X_459)
| converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = join(one,X_459) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459))))) )],[refute_0_4664,refute_0_4665]) ).
cnf(refute_0_4667,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) = join(one,X_459),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(X_459)))),join(one,X_459)) )],[refute_0_4655,refute_0_4666]) ).
cnf(refute_0_4668,plain,
join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),
introduced(tautology,[refl,[$fot(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))))]]) ).
cnf(refute_0_4669,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) != join(one,X_459)
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,join(one,X_459)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) ),[1,1],$fot(join(one,X_459))]]) ).
cnf(refute_0_4670,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) != join(one,X_459)
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,join(one,X_459)) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))))) )],[refute_0_4668,refute_0_4669]) ).
cnf(refute_0_4671,plain,
join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,join(one,X_459)),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),join(one,X_459)) )],[refute_0_4667,refute_0_4670]) ).
cnf(refute_0_4672,plain,
( join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != join(X_459,join(one,X_459))
| join(X_459,join(one,X_459)) != join(X_459,one)
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))))),bind(Y,$fot(join(X_459,join(one,X_459)))),bind(Z,$fot(join(X_459,one)))]]) ).
cnf(refute_0_4673,plain,
( join(X_459,join(one,X_459)) != join(X_459,one)
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,one) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),join(X_459,join(one,X_459))) )],[refute_0_4671,refute_0_4672]) ).
cnf(refute_0_4674,plain,
join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) = join(X_459,one),
inference(resolve,[$cnf( $equal(join(X_459,join(one,X_459)),join(X_459,one)) )],[refute_0_4435,refute_0_4673]) ).
cnf(refute_0_4675,plain,
( join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != join(X_459,one)
| join(X_459,one) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) ),[0],$fot(join(X_459,one))]]) ).
cnf(refute_0_4676,plain,
( join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(X_459,one) = converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),join(X_459,one)) )],[refute_0_4674,refute_0_4675]) ).
cnf(refute_0_4677,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))) != join(one,X_459)
| join(X_459,one) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(X_459,one) = join(one,X_459) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,one),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) ),[1],$fot(join(one,X_459))]]) ).
cnf(refute_0_4678,plain,
( join(X_459,one) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(X_459,one) = join(one,X_459) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459)))))),join(one,X_459)) )],[refute_0_4667,refute_0_4677]) ).
cnf(refute_0_4679,plain,
( join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))
| join(X_459,one) = join(one,X_459) ),
inference(resolve,[$cnf( $equal(join(X_459,one),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) )],[refute_0_4676,refute_0_4678]) ).
cnf(refute_0_4680,plain,
join(X_459,one) = join(one,X_459),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(converse(X_459))))))) )],[refute_0_4434,refute_0_4679]) ).
cnf(refute_0_4681,plain,
join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) = join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),
inference(subst,[],[refute_0_4680:[bind(X_459,$fot(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).
cnf(refute_0_4682,plain,
( join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) != join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))
| join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != one
| join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))),bind(Y,$fot(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4683,plain,
( join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) != one
| join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) = one ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one),join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_4681,refute_0_4682]) ).
cnf(refute_0_4684,plain,
join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) = one,
inference(resolve,[$cnf( $equal(join(one,complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))),one) )],[refute_0_4288,refute_0_4683]) ).
cnf(refute_0_4685,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),
introduced(tautology,[refl,[$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)))]]) ).
cnf(refute_0_4686,plain,
( join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) != one
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4687,plain,
( join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one) != one
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),one) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))) )],[refute_0_4685,refute_0_4686]) ).
cnf(refute_0_4688,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),one),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one),one) )],[refute_0_4684,refute_0_4687]) ).
cnf(refute_0_4689,plain,
meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),
introduced(tautology,[refl,[$fot(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)))]]) ).
cnf(refute_0_4690,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_4691,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))) )],[refute_0_4689,refute_0_4690]) ).
cnf(refute_0_4692,plain,
meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3462,refute_0_4691]) ).
cnf(refute_0_4693,plain,
( meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(composition(complement(skolemFOFtoCNF_X0),top),one)
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)))),bind(Y,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)))),bind(Z,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),one)))]]) ).
cnf(refute_0_4694,plain,
( meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(composition(complement(skolemFOFtoCNF_X0),top),one)
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),one) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one))) )],[refute_0_4692,refute_0_4693]) ).
cnf(refute_0_4695,plain,
meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(composition(complement(skolemFOFtoCNF_X0),top),one),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(composition(complement(skolemFOFtoCNF_X0),top),one)) )],[refute_0_4688,refute_0_4694]) ).
cnf(refute_0_4696,plain,
( meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(composition(complement(skolemFOFtoCNF_X0),top),one)
| meet(composition(complement(skolemFOFtoCNF_X0),top),one) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)))),bind(Y,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),one))),bind(Z,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4697,plain,
( meet(composition(complement(skolemFOFtoCNF_X0),top),one) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(composition(complement(skolemFOFtoCNF_X0),top),one)) )],[refute_0_4695,refute_0_4696]) ).
cnf(refute_0_4698,plain,
meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),one),meet(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_4269,refute_0_4697]) ).
cnf(refute_0_4699,plain,
( meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| meet(one,composition(complement(skolemFOFtoCNF_X0),top)) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[0],$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4700,plain,
( meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,composition(complement(skolemFOFtoCNF_X0),top)) = complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),meet(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_4698,refute_0_4699]) ).
cnf(refute_0_4701,plain,
( complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| meet(one,composition(complement(skolemFOFtoCNF_X0),top)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,composition(complement(skolemFOFtoCNF_X0),top)) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1],$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_4702,plain,
( meet(one,composition(complement(skolemFOFtoCNF_X0),top)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,composition(complement(skolemFOFtoCNF_X0),top)) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4069,refute_0_4701]) ).
cnf(refute_0_4703,plain,
( meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)) != complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))
| meet(one,composition(complement(skolemFOFtoCNF_X0),top)) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4700,refute_0_4702]) ).
cnf(refute_0_4704,plain,
meet(one,composition(complement(skolemFOFtoCNF_X0),top)) = converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),join(complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))))),one)),complement(complement(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_4268,refute_0_4703]) ).
cnf(refute_0_4705,plain,
( meet(one,composition(complement(skolemFOFtoCNF_X0),top)) != converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_4706,plain,
converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) = meet(one,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_4704,refute_0_4705]) ).
cnf(refute_0_4707,plain,
composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) = composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4708,plain,
( composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) != composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))
| converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))) ),[1,0],$fot(meet(one,composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_4709,plain,
( converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))) != meet(one,composition(complement(skolemFOFtoCNF_X0),top))
| composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4707,refute_0_4708]) ).
cnf(refute_0_4710,plain,
composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),meet(one,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_4706,refute_0_4709]) ).
cnf(refute_0_4711,plain,
( complement(skolemFOFtoCNF_X0) != composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))
| composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)) != composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4712,plain,
( complement(skolemFOFtoCNF_X0) != composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0)),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) )],[refute_0_4710,refute_0_4711]) ).
cnf(refute_0_4713,plain,
complement(skolemFOFtoCNF_X0) = composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),composition(converse(meet(one,composition(complement(skolemFOFtoCNF_X0),top))),complement(skolemFOFtoCNF_X0))) )],[refute_0_4084,refute_0_4712]) ).
cnf(refute_0_4714,plain,
( complement(skolemFOFtoCNF_X0) != composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))
| composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4715,plain,
composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) )],[refute_0_4713,refute_0_4714]) ).
cnf(refute_0_4716,plain,
meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4717,plain,
( composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4718,plain,
( composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_4716,refute_0_4717]) ).
cnf(refute_0_4719,plain,
meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_4715,refute_0_4718]) ).
cnf(refute_0_4720,plain,
complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4721,plain,
( complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) != complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))
| meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4722,plain,
( meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_4720,refute_0_4721]) ).
cnf(refute_0_4723,plain,
complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4719,refute_0_4722]) ).
cnf(refute_0_4724,plain,
meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4725,plain,
( complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4726,plain,
( complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4724,refute_0_4725]) ).
cnf(refute_0_4727,plain,
meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4723,refute_0_4726]) ).
cnf(refute_0_4728,plain,
( meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4729,plain,
( meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4727,refute_0_4728]) ).
cnf(refute_0_4730,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4731,plain,
complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4732,plain,
( complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4733,plain,
( composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_4731,refute_0_4732]) ).
cnf(refute_0_4734,plain,
complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_4715,refute_0_4733]) ).
cnf(refute_0_4735,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != complement(complement(skolemFOFtoCNF_X0))
| complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4736,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_4734,refute_0_4735]) ).
cnf(refute_0_4737,plain,
complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_4730,refute_0_4736]) ).
cnf(refute_0_4738,plain,
( complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X0
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4739,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) )],[refute_0_4737,refute_0_4738]) ).
cnf(refute_0_4740,plain,
( meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))) != complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_4729,refute_0_4739]) ).
cnf(refute_0_4741,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0))))),complement(composition(meet(one,composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_4004,refute_0_4740]) ).
cnf(refute_0_4742,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4743,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_4741,refute_0_4742]) ).
cnf(refute_0_4744,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_3196,refute_0_4743]) ).
cnf(refute_0_4745,plain,
converse(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4746,plain,
meet(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3203:[bind(X_463,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_464,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4747,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_464,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4748,plain,
converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4749,plain,
top = join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))))),
inference(subst,[],[refute_0_1734:[bind(X_15,$fot(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X_16,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4750,plain,
converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4751,plain,
one = join(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(one)),bind(X_38,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4752,plain,
( meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| one != join(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| one = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4753,plain,
( one != join(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| one = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1807,refute_0_4752]) ).
cnf(refute_0_4754,plain,
one = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4751,refute_0_4753]) ).
cnf(refute_0_4755,plain,
join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3077:[bind(X_5,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4756,plain,
complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4757,plain,
( complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4758,plain,
( join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4756,refute_0_4757]) ).
cnf(refute_0_4759,plain,
complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4755,refute_0_4758]) ).
cnf(refute_0_4760,plain,
complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2744:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4761,plain,
( complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),bind(Y,$fot(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4762,plain,
( complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4760,refute_0_4761]) ).
cnf(refute_0_4763,plain,
complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4759,refute_0_4762]) ).
cnf(refute_0_4764,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4765,plain,
( complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,1],$fot(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4766,plain,
( complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4764,refute_0_4765]) ).
cnf(refute_0_4767,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4763,refute_0_4766]) ).
cnf(refute_0_4768,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| one != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| one = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4769,plain,
( one != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| one = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4767,refute_0_4768]) ).
cnf(refute_0_4770,plain,
one = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4754,refute_0_4769]) ).
cnf(refute_0_4771,plain,
( one != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4772,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4770,refute_0_4771]) ).
cnf(refute_0_4773,plain,
( converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != one
| converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4774,plain,
( converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4772,refute_0_4773]) ).
cnf(refute_0_4775,plain,
converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4750,refute_0_4774]) ).
cnf(refute_0_4776,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_537:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_5,$fot(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4777,plain,
( converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4778,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4750,refute_0_4777]) ).
cnf(refute_0_4779,plain,
converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4776,refute_0_4778]) ).
cnf(refute_0_4780,plain,
( converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(one)
| converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(one)) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4781,plain,
( converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4779,refute_0_4780]) ).
cnf(refute_0_4782,plain,
( converse(one) != one
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_4783,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_4782]) ).
cnf(refute_0_4784,plain,
( converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(one)) )],[refute_0_4781,refute_0_4783]) ).
cnf(refute_0_4785,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(one)) )],[refute_0_4775,refute_0_4784]) ).
cnf(refute_0_4786,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != one
| top != join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))))
| top = join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_4787,plain,
( top != join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))))
| top = join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4785,refute_0_4786]) ).
cnf(refute_0_4788,plain,
top = join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(top,join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))))) )],[refute_0_4749,refute_0_4787]) ).
cnf(refute_0_4789,plain,
meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4790,plain,
( converse(one) != one
| meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4791,plain,
( converse(one) != one
| meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4789,refute_0_4790]) ).
cnf(refute_0_4792,plain,
meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_4791]) ).
cnf(refute_0_4793,plain,
complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4794,plain,
( complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4795,plain,
( meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4793,refute_0_4794]) ).
cnf(refute_0_4796,plain,
complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4792,refute_0_4795]) ).
cnf(refute_0_4797,plain,
join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(converse(one))),bind(X1,$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4798,plain,
( complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4799,plain,
( complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4797,refute_0_4798]) ).
cnf(refute_0_4800,plain,
join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4796,refute_0_4799]) ).
cnf(refute_0_4801,plain,
converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4802,plain,
( converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4803,plain,
( join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4801,refute_0_4802]) ).
cnf(refute_0_4804,plain,
converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4800,refute_0_4803]) ).
cnf(refute_0_4805,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4806,plain,
( converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4807,plain,
( converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4805,refute_0_4806]) ).
cnf(refute_0_4808,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4804,refute_0_4807]) ).
cnf(refute_0_4809,plain,
join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4810,plain,
join(X_151,X_149) = join(X_149,X_151),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_151)),bind(X1,$fot(X_149))]]) ).
cnf(refute_0_4811,plain,
( join(X_151,X_149) != join(X_149,X_151)
| join(X_149,X_151) = join(X_151,X_149) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_151,X_149))),bind(Y,$fot(join(X_149,X_151)))]]) ).
cnf(refute_0_4812,plain,
join(X_149,X_151) = join(X_151,X_149),
inference(resolve,[$cnf( $equal(join(X_151,X_149),join(X_149,X_151)) )],[refute_0_4810,refute_0_4811]) ).
cnf(refute_0_4813,plain,
( join(X_149,X_151) != join(X_151,X_149)
| join(converse(join(X_149,X_151)),X_150) != join(converse(X_149),join(converse(X_151),X_150))
| join(converse(join(X_151,X_149)),X_150) = join(converse(X_149),join(converse(X_151),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_149,X_151)),X_150),join(converse(X_149),join(converse(X_151),X_150))) ),[0,0,0],$fot(join(X_151,X_149))]]) ).
cnf(refute_0_4814,plain,
( join(converse(join(X_149,X_151)),X_150) != join(converse(X_149),join(converse(X_151),X_150))
| join(converse(join(X_151,X_149)),X_150) = join(converse(X_149),join(converse(X_151),X_150)) ),
inference(resolve,[$cnf( $equal(join(X_149,X_151),join(X_151,X_149)) )],[refute_0_4812,refute_0_4813]) ).
cnf(refute_0_4815,plain,
join(converse(join(X_151,X_149)),X_150) = join(converse(X_149),join(converse(X_151),X_150)),
inference(resolve,[$cnf( $equal(join(converse(join(X_149,X_151)),X_150),join(converse(X_149),join(converse(X_151),X_150))) )],[refute_0_2613,refute_0_4814]) ).
cnf(refute_0_4816,plain,
( join(converse(X_149),join(converse(X_151),X_150)) != join(converse(join(X_149,X_151)),X_150)
| join(converse(join(X_151,X_149)),X_150) != join(converse(X_149),join(converse(X_151),X_150))
| join(converse(join(X_151,X_149)),X_150) = join(converse(join(X_149,X_151)),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_151,X_149)),X_150),join(converse(X_149),join(converse(X_151),X_150))) ),[1],$fot(join(converse(join(X_149,X_151)),X_150))]]) ).
cnf(refute_0_4817,plain,
( join(converse(join(X_151,X_149)),X_150) != join(converse(X_149),join(converse(X_151),X_150))
| join(converse(join(X_151,X_149)),X_150) = join(converse(join(X_149,X_151)),X_150) ),
inference(resolve,[$cnf( $equal(join(converse(X_149),join(converse(X_151),X_150)),join(converse(join(X_149,X_151)),X_150)) )],[refute_0_2615,refute_0_4816]) ).
cnf(refute_0_4818,plain,
join(converse(join(X_151,X_149)),X_150) = join(converse(join(X_149,X_151)),X_150),
inference(resolve,[$cnf( $equal(join(converse(join(X_151,X_149)),X_150),join(converse(X_149),join(converse(X_151),X_150))) )],[refute_0_4815,refute_0_4817]) ).
cnf(refute_0_4819,plain,
( join(converse(join(X_151,X_149)),X_150) != join(converse(join(X_149,X_151)),X_150)
| join(converse(join(X_149,X_151)),X_150) = join(converse(join(X_151,X_149)),X_150) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X_151,X_149)),X_150))),bind(Y,$fot(join(converse(join(X_149,X_151)),X_150)))]]) ).
cnf(refute_0_4820,plain,
join(converse(join(X_149,X_151)),X_150) = join(converse(join(X_151,X_149)),X_150),
inference(resolve,[$cnf( $equal(join(converse(join(X_151,X_149)),X_150),join(converse(join(X_149,X_151)),X_150)) )],[refute_0_4818,refute_0_4819]) ).
cnf(refute_0_4821,plain,
join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) = join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4820:[bind(X_149,$fot(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_150,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_151,$fot(complement(converse(one))))]]) ).
cnf(refute_0_4822,plain,
( join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) != join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))
| join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4823,plain,
( join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))),join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4821,refute_0_4822]) ).
cnf(refute_0_4824,plain,
join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4809,refute_0_4823]) ).
cnf(refute_0_4825,plain,
converse(join(X_4,join(converse(X_9),X_8))) = join(converse(join(X_8,X_4)),X_9),
inference(subst,[],[refute_0_2632:[bind(X_149,$fot(X_8)),bind(X_150,$fot(X_9)),bind(X_151,$fot(X_4))]]) ).
cnf(refute_0_4826,plain,
( converse(join(X_4,join(converse(X_9),X_8))) != join(converse(X_4),join(X_9,converse(X_8)))
| converse(join(X_4,join(converse(X_9),X_8))) != join(converse(join(X_8,X_4)),X_9)
| join(converse(join(X_8,X_4)),X_9) = join(converse(X_4),join(X_9,converse(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,join(converse(X_9),X_8))),join(converse(X_4),join(X_9,converse(X_8)))) ),[0],$fot(join(converse(join(X_8,X_4)),X_9))]]) ).
cnf(refute_0_4827,plain,
( converse(join(X_4,join(converse(X_9),X_8))) != join(converse(X_4),join(X_9,converse(X_8)))
| join(converse(join(X_8,X_4)),X_9) = join(converse(X_4),join(X_9,converse(X_8))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_9),X_8))),join(converse(join(X_8,X_4)),X_9)) )],[refute_0_4825,refute_0_4826]) ).
cnf(refute_0_4828,plain,
join(converse(join(X_8,X_4)),X_9) = join(converse(X_4),join(X_9,converse(X_8))),
inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_9),X_8))),join(converse(X_4),join(X_9,converse(X_8)))) )],[refute_0_2622,refute_0_4827]) ).
cnf(refute_0_4829,plain,
( join(converse(join(X_8,X_4)),X_9) != join(converse(X_4),join(X_9,converse(X_8)))
| join(converse(X_4),join(X_9,converse(X_8))) = join(converse(join(X_8,X_4)),X_9) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X_8,X_4)),X_9))),bind(Y,$fot(join(converse(X_4),join(X_9,converse(X_8)))))]]) ).
cnf(refute_0_4830,plain,
join(converse(X_4),join(X_9,converse(X_8))) = join(converse(join(X_8,X_4)),X_9),
inference(resolve,[$cnf( $equal(join(converse(join(X_8,X_4)),X_9),join(converse(X_4),join(X_9,converse(X_8)))) )],[refute_0_4828,refute_0_4829]) ).
cnf(refute_0_4831,plain,
join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4830:[bind(X_4,$fot(complement(converse(one)))),bind(X_8,$fot(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_9,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4832,plain,
( join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0)))
| join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4833,plain,
( join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4831,refute_0_4832]) ).
cnf(refute_0_4834,plain,
join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(one)))),meet(one,complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4824,refute_0_4833]) ).
cnf(refute_0_4835,plain,
join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_710:[bind(X_56,$fot(converse(complement(converse(one))))),bind(X_57,$fot(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X_58,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4836,plain,
( join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4837,plain,
( join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4835,refute_0_4836]) ).
cnf(refute_0_4838,plain,
join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4834,refute_0_4837]) ).
cnf(refute_0_4839,plain,
converse(join(converse(X_149),join(converse(X_151),X_150))) = join(converse(converse(X_149)),converse(join(converse(X_151),X_150))),
inference(subst,[],[refute_0_533:[bind(X0,$fot(converse(X_149))),bind(X1,$fot(join(converse(X_151),X_150)))]]) ).
cnf(refute_0_4840,plain,
( converse(join(converse(X_149),join(converse(X_151),X_150))) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| join(converse(X_149),join(converse(X_151),X_150)) != join(converse(join(X_149,X_151)),X_150)
| converse(join(converse(join(X_149,X_151)),X_150)) = join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_149),join(converse(X_151),X_150))),join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))) ),[0,0],$fot(join(converse(join(X_149,X_151)),X_150))]]) ).
cnf(refute_0_4841,plain,
( converse(join(converse(X_149),join(converse(X_151),X_150))) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| converse(join(converse(join(X_149,X_151)),X_150)) = join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) ),
inference(resolve,[$cnf( $equal(join(converse(X_149),join(converse(X_151),X_150)),join(converse(join(X_149,X_151)),X_150)) )],[refute_0_2615,refute_0_4840]) ).
cnf(refute_0_4842,plain,
converse(join(converse(join(X_149,X_151)),X_150)) = join(converse(converse(X_149)),converse(join(converse(X_151),X_150))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_149),join(converse(X_151),X_150))),join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))) )],[refute_0_4839,refute_0_4841]) ).
cnf(refute_0_4843,plain,
join(join(X_149,X_151),converse(X_150)) = join(X_149,join(X_151,converse(X_150))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_149)),bind(X1,$fot(X_151)),bind(X2,$fot(converse(X_150)))]]) ).
cnf(refute_0_4844,plain,
converse(join(converse(join(X_149,X_151)),X_150)) = join(join(X_149,X_151),converse(X_150)),
inference(subst,[],[refute_0_537:[bind(X0,$fot(join(X_149,X_151))),bind(X_5,$fot(X_150))]]) ).
cnf(refute_0_4845,plain,
( converse(join(converse(join(X_149,X_151)),X_150)) != join(join(X_149,X_151),converse(X_150))
| join(join(X_149,X_151),converse(X_150)) != join(X_149,join(X_151,converse(X_150)))
| converse(join(converse(join(X_149,X_151)),X_150)) = join(X_149,join(X_151,converse(X_150))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(join(X_149,X_151)),X_150)))),bind(Y,$fot(join(join(X_149,X_151),converse(X_150)))),bind(Z,$fot(join(X_149,join(X_151,converse(X_150)))))]]) ).
cnf(refute_0_4846,plain,
( join(join(X_149,X_151),converse(X_150)) != join(X_149,join(X_151,converse(X_150)))
| converse(join(converse(join(X_149,X_151)),X_150)) = join(X_149,join(X_151,converse(X_150))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_149,X_151)),X_150)),join(join(X_149,X_151),converse(X_150))) )],[refute_0_4844,refute_0_4845]) ).
cnf(refute_0_4847,plain,
converse(join(converse(join(X_149,X_151)),X_150)) = join(X_149,join(X_151,converse(X_150))),
inference(resolve,[$cnf( $equal(join(join(X_149,X_151),converse(X_150)),join(X_149,join(X_151,converse(X_150)))) )],[refute_0_4843,refute_0_4846]) ).
cnf(refute_0_4848,plain,
( converse(join(converse(join(X_149,X_151)),X_150)) != join(X_149,join(X_151,converse(X_150)))
| converse(join(converse(join(X_149,X_151)),X_150)) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| join(X_149,join(X_151,converse(X_150))) = join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_149,X_151)),X_150)),join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))) ),[0],$fot(join(X_149,join(X_151,converse(X_150))))]]) ).
cnf(refute_0_4849,plain,
( converse(join(converse(join(X_149,X_151)),X_150)) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| join(X_149,join(X_151,converse(X_150))) = join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_149,X_151)),X_150)),join(X_149,join(X_151,converse(X_150)))) )],[refute_0_4847,refute_0_4848]) ).
cnf(refute_0_4850,plain,
join(join(converse(X_150),X_149),X_151) = join(converse(X_150),join(X_149,X_151)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(converse(X_150))),bind(X1,$fot(X_149)),bind(X2,$fot(X_151))]]) ).
cnf(refute_0_4851,plain,
converse(join(X_150,converse(X_149))) = join(converse(X_150),X_149),
inference(subst,[],[refute_0_550:[bind(X0,$fot(X_149)),bind(X_4,$fot(X_150))]]) ).
cnf(refute_0_4852,plain,
join(converse(join(X_150,converse(X_149))),X_151) = join(converse(join(X_150,converse(X_149))),X_151),
introduced(tautology,[refl,[$fot(join(converse(join(X_150,converse(X_149))),X_151))]]) ).
cnf(refute_0_4853,plain,
( converse(join(X_150,converse(X_149))) != join(converse(X_150),X_149)
| join(converse(join(X_150,converse(X_149))),X_151) != join(converse(join(X_150,converse(X_149))),X_151)
| join(converse(join(X_150,converse(X_149))),X_151) = join(join(converse(X_150),X_149),X_151) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_150,converse(X_149))),X_151),join(converse(join(X_150,converse(X_149))),X_151)) ),[1,0],$fot(join(converse(X_150),X_149))]]) ).
cnf(refute_0_4854,plain,
( converse(join(X_150,converse(X_149))) != join(converse(X_150),X_149)
| join(converse(join(X_150,converse(X_149))),X_151) = join(join(converse(X_150),X_149),X_151) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_150,converse(X_149))),X_151),join(converse(join(X_150,converse(X_149))),X_151)) )],[refute_0_4852,refute_0_4853]) ).
cnf(refute_0_4855,plain,
join(converse(join(X_150,converse(X_149))),X_151) = join(join(converse(X_150),X_149),X_151),
inference(resolve,[$cnf( $equal(converse(join(X_150,converse(X_149))),join(converse(X_150),X_149)) )],[refute_0_4851,refute_0_4854]) ).
cnf(refute_0_4856,plain,
( join(converse(join(X_150,converse(X_149))),X_151) != join(join(converse(X_150),X_149),X_151)
| join(join(converse(X_150),X_149),X_151) != join(converse(X_150),join(X_149,X_151))
| join(converse(join(X_150,converse(X_149))),X_151) = join(converse(X_150),join(X_149,X_151)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(X_150,converse(X_149))),X_151))),bind(Y,$fot(join(join(converse(X_150),X_149),X_151))),bind(Z,$fot(join(converse(X_150),join(X_149,X_151))))]]) ).
cnf(refute_0_4857,plain,
( join(join(converse(X_150),X_149),X_151) != join(converse(X_150),join(X_149,X_151))
| join(converse(join(X_150,converse(X_149))),X_151) = join(converse(X_150),join(X_149,X_151)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_150,converse(X_149))),X_151),join(join(converse(X_150),X_149),X_151)) )],[refute_0_4855,refute_0_4856]) ).
cnf(refute_0_4858,plain,
join(converse(join(X_150,converse(X_149))),X_151) = join(converse(X_150),join(X_149,X_151)),
inference(resolve,[$cnf( $equal(join(join(converse(X_150),X_149),X_151),join(converse(X_150),join(X_149,X_151))) )],[refute_0_4850,refute_0_4857]) ).
cnf(refute_0_4859,plain,
converse(join(converse(X_149),join(converse(X_151),X_150))) = join(converse(join(X_150,converse(X_149))),X_151),
inference(subst,[],[refute_0_2632:[bind(X_149,$fot(X_150)),bind(X_150,$fot(X_151)),bind(X_151,$fot(converse(X_149)))]]) ).
cnf(refute_0_4860,plain,
join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = converse(join(converse(X_149),join(converse(X_151),X_150))),
inference(subst,[],[refute_0_555:[bind(X0,$fot(converse(X_149))),bind(X1,$fot(join(converse(X_151),X_150)))]]) ).
cnf(refute_0_4861,plain,
( converse(join(converse(X_149),join(converse(X_151),X_150))) != join(converse(join(X_150,converse(X_149))),X_151)
| join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) != converse(join(converse(X_149),join(converse(X_151),X_150)))
| join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = join(converse(join(X_150,converse(X_149))),X_151) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(converse(X_149)),converse(join(converse(X_151),X_150))))),bind(Y,$fot(converse(join(converse(X_149),join(converse(X_151),X_150))))),bind(Z,$fot(join(converse(join(X_150,converse(X_149))),X_151)))]]) ).
cnf(refute_0_4862,plain,
( converse(join(converse(X_149),join(converse(X_151),X_150))) != join(converse(join(X_150,converse(X_149))),X_151)
| join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = join(converse(join(X_150,converse(X_149))),X_151) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_149)),converse(join(converse(X_151),X_150))),converse(join(converse(X_149),join(converse(X_151),X_150)))) )],[refute_0_4860,refute_0_4861]) ).
cnf(refute_0_4863,plain,
join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = join(converse(join(X_150,converse(X_149))),X_151),
inference(resolve,[$cnf( $equal(converse(join(converse(X_149),join(converse(X_151),X_150))),join(converse(join(X_150,converse(X_149))),X_151)) )],[refute_0_4859,refute_0_4862]) ).
cnf(refute_0_4864,plain,
( join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) != join(converse(join(X_150,converse(X_149))),X_151)
| join(converse(join(X_150,converse(X_149))),X_151) != join(converse(X_150),join(X_149,X_151))
| join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = join(converse(X_150),join(X_149,X_151)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(converse(X_149)),converse(join(converse(X_151),X_150))))),bind(Y,$fot(join(converse(join(X_150,converse(X_149))),X_151))),bind(Z,$fot(join(converse(X_150),join(X_149,X_151))))]]) ).
cnf(refute_0_4865,plain,
( join(converse(join(X_150,converse(X_149))),X_151) != join(converse(X_150),join(X_149,X_151))
| join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = join(converse(X_150),join(X_149,X_151)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_149)),converse(join(converse(X_151),X_150))),join(converse(join(X_150,converse(X_149))),X_151)) )],[refute_0_4863,refute_0_4864]) ).
cnf(refute_0_4866,plain,
join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) = join(converse(X_150),join(X_149,X_151)),
inference(resolve,[$cnf( $equal(join(converse(join(X_150,converse(X_149))),X_151),join(converse(X_150),join(X_149,X_151))) )],[refute_0_4858,refute_0_4865]) ).
cnf(refute_0_4867,plain,
( join(X_149,join(X_151,converse(X_150))) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| join(converse(converse(X_149)),converse(join(converse(X_151),X_150))) != join(converse(X_150),join(X_149,X_151))
| join(X_149,join(X_151,converse(X_150))) = join(converse(X_150),join(X_149,X_151)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_149,join(X_151,converse(X_150))),join(converse(X_150),join(X_149,X_151))) ),[0],$fot(join(converse(converse(X_149)),converse(join(converse(X_151),X_150))))]]) ).
cnf(refute_0_4868,plain,
( join(X_149,join(X_151,converse(X_150))) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| join(X_149,join(X_151,converse(X_150))) = join(converse(X_150),join(X_149,X_151)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_149)),converse(join(converse(X_151),X_150))),join(converse(X_150),join(X_149,X_151))) )],[refute_0_4866,refute_0_4867]) ).
cnf(refute_0_4869,plain,
( converse(join(converse(join(X_149,X_151)),X_150)) != join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))
| join(X_149,join(X_151,converse(X_150))) = join(converse(X_150),join(X_149,X_151)) ),
inference(resolve,[$cnf( $equal(join(X_149,join(X_151,converse(X_150))),join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))) )],[refute_0_4849,refute_0_4868]) ).
cnf(refute_0_4870,plain,
join(X_149,join(X_151,converse(X_150))) = join(converse(X_150),join(X_149,X_151)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_149,X_151)),X_150)),join(converse(converse(X_149)),converse(join(converse(X_151),X_150)))) )],[refute_0_4842,refute_0_4869]) ).
cnf(refute_0_4871,plain,
join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4870:[bind(X_149,$fot(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X_150,$fot(complement(converse(one)))),bind(X_151,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4872,plain,
( join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) != join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))))),bind(Y,$fot(join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4873,plain,
( join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))),join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4871,refute_0_4872]) ).
cnf(refute_0_4874,plain,
join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4838,refute_0_4873]) ).
cnf(refute_0_4875,plain,
( join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4876,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4874,refute_0_4875]) ).
cnf(refute_0_4877,plain,
join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(complement(converse(one)),complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4808,refute_0_4876]) ).
cnf(refute_0_4878,plain,
( join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| top != join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one)))))
| top = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one)))))) ),[1],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4879,plain,
( top != join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one)))))
| top = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4877,refute_0_4878]) ).
cnf(refute_0_4880,plain,
top = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(top,join(converse(complement(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(one)))))) )],[refute_0_4788,refute_0_4879]) ).
cnf(refute_0_4881,plain,
( top != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4882,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4880,refute_0_4881]) ).
cnf(refute_0_4883,plain,
( converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) != top
| converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4884,plain,
( converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))
| converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_4882,refute_0_4883]) ).
cnf(refute_0_4885,plain,
converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_4748,refute_0_4884]) ).
cnf(refute_0_4886,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_550:[bind(X0,$fot(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X_4,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4887,plain,
( converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4888,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_4748,refute_0_4887]) ).
cnf(refute_0_4889,plain,
converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4886,refute_0_4888]) ).
cnf(refute_0_4890,plain,
( converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(top)
| converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))),converse(top)) ),[0],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4891,plain,
( converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(top)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4889,refute_0_4890]) ).
cnf(refute_0_4892,plain,
( converse(top) != top
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(top)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_4893,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(top)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1481,refute_0_4892]) ).
cnf(refute_0_4894,plain,
( converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(top)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),converse(top)) )],[refute_0_4891,refute_0_4893]) ).
cnf(refute_0_4895,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0)))),converse(top)) )],[refute_0_4885,refute_0_4894]) ).
cnf(refute_0_4896,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4897,plain,
complement(meet(one,skolemFOFtoCNF_X0)) = complement(meet(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4898,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4899,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_4897,refute_0_4898]) ).
cnf(refute_0_4900,plain,
complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1714,refute_0_4899]) ).
cnf(refute_0_4901,plain,
join(complement(one),complement(skolemFOFtoCNF_X0)) = complement(meet(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_348:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4902,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4241:[bind(X_236,$fot(one)),bind(X_459,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4903,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4904,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_4902,refute_0_4903]) ).
cnf(refute_0_4905,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),complement(skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_4901,refute_0_4904]) ).
cnf(refute_0_4906,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(meet(one,skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4907,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_4905,refute_0_4906]) ).
cnf(refute_0_4908,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_4900,refute_0_4907]) ).
cnf(refute_0_4909,plain,
converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4910,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4911,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4909,refute_0_4910]) ).
cnf(refute_0_4912,plain,
converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_4908,refute_0_4911]) ).
cnf(refute_0_4913,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4914,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_4912,refute_0_4913]) ).
cnf(refute_0_4915,plain,
converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_4896,refute_0_4914]) ).
cnf(refute_0_4916,plain,
meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4917,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4918,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4916,refute_0_4917]) ).
cnf(refute_0_4919,plain,
meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_4915,refute_0_4918]) ).
cnf(refute_0_4920,plain,
complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4921,plain,
( complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4922,plain,
( meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4920,refute_0_4921]) ).
cnf(refute_0_4923,plain,
complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4919,refute_0_4922]) ).
cnf(refute_0_4924,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4925,plain,
( complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4926,plain,
( complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4924,refute_0_4925]) ).
cnf(refute_0_4927,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4923,refute_0_4926]) ).
cnf(refute_0_4928,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),top) ),[0],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4929,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4927,refute_0_4928]) ).
cnf(refute_0_4930,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))),top) )],[refute_0_4895,refute_0_4929]) ).
cnf(refute_0_4931,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != top
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4932,plain,
( meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_4930,refute_0_4931]) ).
cnf(refute_0_4933,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4747,refute_0_4932]) ).
cnf(refute_0_4934,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_30,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4935,plain,
( meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(top)
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(top)) ),[0],$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4936,plain,
( meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(top)
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4934,refute_0_4935]) ).
cnf(refute_0_4937,plain,
( complement(top) != zero
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(top)
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4938,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(top)
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_4937]) ).
cnf(refute_0_4939,plain,
( meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(top)
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(top)) )],[refute_0_4936,refute_0_4938]) ).
cnf(refute_0_4940,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(top)) )],[refute_0_4933,refute_0_4939]) ).
cnf(refute_0_4941,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_30,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4942,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_38,$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_4943,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(subst,[],[refute_0_1030:[bind(X_37,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_4944,plain,
one = join(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(one)),bind(X_38,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_4945,plain,
converse(X_158) = join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(join(complement(converse(X_158)),converse(join(X_157,X_158))))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(converse(X_158))),bind(X_38,$fot(converse(join(X_157,X_158))))]]) ).
cnf(refute_0_4946,plain,
join(complement(converse(X_158)),converse(join(X_157,X_158))) = top,
inference(subst,[],[refute_0_1594:[bind(X_149,$fot(X_157)),bind(X_151,$fot(X_158))]]) ).
cnf(refute_0_4947,plain,
( converse(X_158) != join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(join(complement(converse(X_158)),converse(join(X_157,X_158)))))
| join(complement(converse(X_158)),converse(join(X_157,X_158))) != top
| converse(X_158) = join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_158),join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(join(complement(converse(X_158)),converse(join(X_157,X_158)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_4948,plain,
( converse(X_158) != join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(join(complement(converse(X_158)),converse(join(X_157,X_158)))))
| converse(X_158) = join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_158)),converse(join(X_157,X_158))),top) )],[refute_0_4946,refute_0_4947]) ).
cnf(refute_0_4949,plain,
converse(X_158) = join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)),
inference(resolve,[$cnf( $equal(converse(X_158),join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(join(complement(converse(X_158)),converse(join(X_157,X_158)))))) )],[refute_0_4945,refute_0_4948]) ).
cnf(refute_0_4950,plain,
join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) = meet(converse(X_158),converse(join(X_157,X_158))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(converse(X_158),converse(join(X_157,X_158)))))]]) ).
cnf(refute_0_4951,plain,
meet(converse(join(X_157,X_158)),converse(X_158)) = meet(converse(X_158),converse(join(X_157,X_158))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(converse(X_158))),bind(X_30,$fot(converse(join(X_157,X_158))))]]) ).
cnf(refute_0_4952,plain,
join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(join(X_157,X_158)),converse(X_158))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(join(X_157,X_158)),converse(X_158))))]]) ).
cnf(refute_0_4953,plain,
( join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) != join(zero,meet(converse(join(X_157,X_158)),converse(X_158)))
| meet(converse(join(X_157,X_158)),converse(X_158)) != meet(converse(X_158),converse(join(X_157,X_158)))
| join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(join(X_157,X_158)),converse(X_158))),join(zero,meet(converse(join(X_157,X_158)),converse(X_158)))) ),[1,1],$fot(meet(converse(X_158),converse(join(X_157,X_158))))]]) ).
cnf(refute_0_4954,plain,
( meet(converse(join(X_157,X_158)),converse(X_158)) != meet(converse(X_158),converse(join(X_157,X_158)))
| join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(join(X_157,X_158)),converse(X_158))),join(zero,meet(converse(join(X_157,X_158)),converse(X_158)))) )],[refute_0_4952,refute_0_4953]) ).
cnf(refute_0_4955,plain,
join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(X_158),converse(join(X_157,X_158)))),
inference(resolve,[$cnf( $equal(meet(converse(join(X_157,X_158)),converse(X_158)),meet(converse(X_158),converse(join(X_157,X_158)))) )],[refute_0_4951,refute_0_4954]) ).
cnf(refute_0_4956,plain,
join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))))]]) ).
cnf(refute_0_4957,plain,
( complement(top) != zero
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) != join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158)))
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4958,plain,
( complement(top) != zero
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158)))) )],[refute_0_4956,refute_0_4957]) ).
cnf(refute_0_4959,plain,
join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(join(X_157,X_158)),converse(X_158))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_4958]) ).
cnf(refute_0_4960,plain,
( join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) != join(zero,meet(converse(join(X_157,X_158)),converse(X_158)))
| join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) != join(zero,meet(converse(X_158),converse(join(X_157,X_158))))
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))))),bind(Y,$fot(join(zero,meet(converse(join(X_157,X_158)),converse(X_158))))),bind(Z,$fot(join(zero,meet(converse(X_158),converse(join(X_157,X_158))))))]]) ).
cnf(refute_0_4961,plain,
( join(zero,meet(converse(join(X_157,X_158)),converse(X_158))) != join(zero,meet(converse(X_158),converse(join(X_157,X_158))))
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),join(zero,meet(converse(join(X_157,X_158)),converse(X_158)))) )],[refute_0_4959,refute_0_4960]) ).
cnf(refute_0_4962,plain,
join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = join(zero,meet(converse(X_158),converse(join(X_157,X_158)))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(join(X_157,X_158)),converse(X_158))),join(zero,meet(converse(X_158),converse(join(X_157,X_158))))) )],[refute_0_4955,refute_0_4961]) ).
cnf(refute_0_4963,plain,
( join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) != join(zero,meet(converse(X_158),converse(join(X_157,X_158))))
| join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) != meet(converse(X_158),converse(join(X_157,X_158)))
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = meet(converse(X_158),converse(join(X_157,X_158))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))))),bind(Y,$fot(join(zero,meet(converse(X_158),converse(join(X_157,X_158)))))),bind(Z,$fot(meet(converse(X_158),converse(join(X_157,X_158)))))]]) ).
cnf(refute_0_4964,plain,
( join(zero,meet(converse(X_158),converse(join(X_157,X_158)))) != meet(converse(X_158),converse(join(X_157,X_158)))
| join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = meet(converse(X_158),converse(join(X_157,X_158))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),join(zero,meet(converse(X_158),converse(join(X_157,X_158))))) )],[refute_0_4962,refute_0_4963]) ).
cnf(refute_0_4965,plain,
join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) = meet(converse(X_158),converse(join(X_157,X_158))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(X_158),converse(join(X_157,X_158)))),meet(converse(X_158),converse(join(X_157,X_158)))) )],[refute_0_4950,refute_0_4964]) ).
cnf(refute_0_4966,plain,
join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) = join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(converse(join(X_157,X_158)),converse(X_158)))),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_4967,plain,
( join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) != meet(converse(X_158),converse(join(X_157,X_158)))
| join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) != join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158)))
| join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) = meet(converse(X_158),converse(join(X_157,X_158))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))))),bind(Z,$fot(meet(converse(X_158),converse(join(X_157,X_158)))))]]) ).
cnf(refute_0_4968,plain,
( join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))) != meet(converse(X_158),converse(join(X_157,X_158)))
| join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) = meet(converse(X_158),converse(join(X_157,X_158))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)),join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158)))) )],[refute_0_4966,refute_0_4967]) ).
cnf(refute_0_4969,plain,
join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) = meet(converse(X_158),converse(join(X_157,X_158))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(join(X_157,X_158)),converse(X_158))),meet(converse(X_158),converse(join(X_157,X_158)))) )],[refute_0_4965,refute_0_4968]) ).
cnf(refute_0_4970,plain,
( converse(X_158) != join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top))
| join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)) != meet(converse(X_158),converse(join(X_157,X_158)))
| converse(X_158) = meet(converse(X_158),converse(join(X_157,X_158))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(X_158),meet(converse(X_158),converse(join(X_157,X_158)))) ),[0],$fot(join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)))]]) ).
cnf(refute_0_4971,plain,
( converse(X_158) != join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top))
| converse(X_158) = meet(converse(X_158),converse(join(X_157,X_158))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top)),meet(converse(X_158),converse(join(X_157,X_158)))) )],[refute_0_4969,refute_0_4970]) ).
cnf(refute_0_4972,plain,
converse(X_158) = meet(converse(X_158),converse(join(X_157,X_158))),
inference(resolve,[$cnf( $equal(converse(X_158),join(meet(converse(join(X_157,X_158)),converse(X_158)),complement(top))) )],[refute_0_4949,refute_0_4971]) ).
cnf(refute_0_4973,plain,
converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_4972:[bind(X_157,$fot(one)),bind(X_158,$fot(complement(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4974,plain,
join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(complement(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4975,plain,
one = join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(one)),bind(X_38,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4976,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| one != join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4977,plain,
( one != join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1714,refute_0_4976]) ).
cnf(refute_0_4978,plain,
one = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4975,refute_0_4977]) ).
cnf(refute_0_4979,plain,
( one != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_4980,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4978,refute_0_4979]) ).
cnf(refute_0_4981,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) != one
| join(one,one) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_4982,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(one,one) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))),one) )],[refute_0_4980,refute_0_4981]) ).
cnf(refute_0_4983,plain,
join(one,one) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4974,refute_0_4982]) ).
cnf(refute_0_4984,plain,
meet(top,join(one,one)) = join(meet(meet(top,complement(one)),meet(top,join(one,one))),complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))),
inference(subst,[],[refute_0_81:[bind(X_37,$fot(meet(top,join(one,one)))),bind(X_38,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_4985,plain,
zero = meet(meet(top,join(one,one)),complement(meet(top,join(one,one)))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(meet(top,join(one,one))))]]) ).
cnf(refute_0_4986,plain,
( complement(meet(top,join(one,one))) != meet(top,complement(one))
| zero != meet(meet(top,join(one,one)),complement(meet(top,join(one,one))))
| zero = meet(meet(top,join(one,one)),meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,join(one,one)),complement(meet(top,join(one,one))))) ),[1,1],$fot(meet(top,complement(one)))]]) ).
cnf(refute_0_4987,plain,
( zero != meet(meet(top,join(one,one)),complement(meet(top,join(one,one))))
| zero = meet(meet(top,join(one,one)),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(one,one))),meet(top,complement(one))) )],[refute_0_775,refute_0_4986]) ).
cnf(refute_0_4988,plain,
zero = meet(meet(top,join(one,one)),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(zero,meet(meet(top,join(one,one)),complement(meet(top,join(one,one))))) )],[refute_0_4985,refute_0_4987]) ).
cnf(refute_0_4989,plain,
meet(meet(top,join(one,one)),meet(top,complement(one))) = meet(meet(top,complement(one)),meet(top,join(one,one))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(meet(top,complement(one)))),bind(X_30,$fot(meet(top,join(one,one))))]]) ).
cnf(refute_0_4990,plain,
( meet(meet(top,join(one,one)),meet(top,complement(one))) != meet(meet(top,complement(one)),meet(top,join(one,one)))
| zero != meet(meet(top,join(one,one)),meet(top,complement(one)))
| zero = meet(meet(top,complement(one)),meet(top,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,join(one,one)),meet(top,complement(one)))) ),[1],$fot(meet(meet(top,complement(one)),meet(top,join(one,one))))]]) ).
cnf(refute_0_4991,plain,
( zero != meet(meet(top,join(one,one)),meet(top,complement(one)))
| zero = meet(meet(top,complement(one)),meet(top,join(one,one))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,join(one,one)),meet(top,complement(one))),meet(meet(top,complement(one)),meet(top,join(one,one)))) )],[refute_0_4989,refute_0_4990]) ).
cnf(refute_0_4992,plain,
zero = meet(meet(top,complement(one)),meet(top,join(one,one))),
inference(resolve,[$cnf( $equal(zero,meet(meet(top,join(one,one)),meet(top,complement(one)))) )],[refute_0_4988,refute_0_4991]) ).
cnf(refute_0_4993,plain,
( zero != meet(meet(top,complement(one)),meet(top,join(one,one)))
| meet(meet(top,complement(one)),meet(top,join(one,one))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,complement(one)),meet(top,join(one,one)))))]]) ).
cnf(refute_0_4994,plain,
meet(meet(top,complement(one)),meet(top,join(one,one))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,complement(one)),meet(top,join(one,one)))) )],[refute_0_4992,refute_0_4993]) ).
cnf(refute_0_4995,plain,
( meet(meet(top,complement(one)),meet(top,join(one,one))) != zero
| meet(top,join(one,one)) != join(meet(meet(top,complement(one)),meet(top,join(one,one))),complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))
| meet(top,join(one,one)) = join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(one,one)),join(meet(meet(top,complement(one)),meet(top,join(one,one))),complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4996,plain,
( meet(top,join(one,one)) != join(meet(meet(top,complement(one)),meet(top,join(one,one))),complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))
| meet(top,join(one,one)) = join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(one)),meet(top,join(one,one))),zero) )],[refute_0_4994,refute_0_4995]) ).
cnf(refute_0_4997,plain,
meet(top,join(one,one)) = join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(meet(top,join(one,one)),join(meet(meet(top,complement(one)),meet(top,join(one,one))),complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) )],[refute_0_4984,refute_0_4996]) ).
cnf(refute_0_4998,plain,
join(meet(top,complement(one)),complement(meet(top,join(one,one)))) = join(meet(top,complement(one)),complement(meet(top,join(one,one)))),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),complement(meet(top,join(one,one)))))]]) ).
cnf(refute_0_4999,plain,
( complement(meet(top,join(one,one))) != meet(top,complement(one))
| join(meet(top,complement(one)),complement(meet(top,join(one,one)))) != join(meet(top,complement(one)),complement(meet(top,join(one,one))))
| join(meet(top,complement(one)),complement(meet(top,join(one,one)))) = join(meet(top,complement(one)),meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),complement(meet(top,join(one,one)))),join(meet(top,complement(one)),complement(meet(top,join(one,one))))) ),[1,1],$fot(meet(top,complement(one)))]]) ).
cnf(refute_0_5000,plain,
( complement(meet(top,join(one,one))) != meet(top,complement(one))
| join(meet(top,complement(one)),complement(meet(top,join(one,one)))) = join(meet(top,complement(one)),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),complement(meet(top,join(one,one)))),join(meet(top,complement(one)),complement(meet(top,join(one,one))))) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
join(meet(top,complement(one)),complement(meet(top,join(one,one)))) = join(meet(top,complement(one)),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(one,one))),meet(top,complement(one))) )],[refute_0_775,refute_0_5000]) ).
cnf(refute_0_5002,plain,
join(complement(meet(top,join(one,one))),meet(top,complement(one))) = join(meet(top,complement(one)),complement(meet(top,join(one,one)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(top,complement(one)))),bind(X1,$fot(complement(meet(top,join(one,one)))))]]) ).
cnf(refute_0_5003,plain,
( join(complement(meet(top,join(one,one))),meet(top,complement(one))) != join(meet(top,complement(one)),complement(meet(top,join(one,one))))
| join(meet(top,complement(one)),complement(meet(top,join(one,one)))) != join(meet(top,complement(one)),meet(top,complement(one)))
| join(complement(meet(top,join(one,one))),meet(top,complement(one))) = join(meet(top,complement(one)),meet(top,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(meet(top,join(one,one))),meet(top,complement(one))))),bind(Y,$fot(join(meet(top,complement(one)),complement(meet(top,join(one,one)))))),bind(Z,$fot(join(meet(top,complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_5004,plain,
( join(meet(top,complement(one)),complement(meet(top,join(one,one)))) != join(meet(top,complement(one)),meet(top,complement(one)))
| join(complement(meet(top,join(one,one))),meet(top,complement(one))) = join(meet(top,complement(one)),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,join(one,one))),meet(top,complement(one))),join(meet(top,complement(one)),complement(meet(top,join(one,one))))) )],[refute_0_5002,refute_0_5003]) ).
cnf(refute_0_5005,plain,
join(complement(meet(top,join(one,one))),meet(top,complement(one))) = join(meet(top,complement(one)),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),complement(meet(top,join(one,one)))),join(meet(top,complement(one)),meet(top,complement(one)))) )],[refute_0_5001,refute_0_5004]) ).
cnf(refute_0_5006,plain,
meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) = meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))))]]) ).
cnf(refute_0_5007,plain,
( join(complement(meet(top,join(one,one))),meet(top,complement(one))) != join(meet(top,complement(one)),meet(top,complement(one)))
| meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) != meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))
| meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) = meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))),meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) ),[1,1],$fot(join(meet(top,complement(one)),meet(top,complement(one))))]]) ).
cnf(refute_0_5008,plain,
( join(complement(meet(top,join(one,one))),meet(top,complement(one))) != join(meet(top,complement(one)),meet(top,complement(one)))
| meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) = meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))),meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) )],[refute_0_5006,refute_0_5007]) ).
cnf(refute_0_5009,plain,
meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) = meet(top,join(meet(top,complement(one)),meet(top,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,join(one,one))),meet(top,complement(one))),join(meet(top,complement(one)),meet(top,complement(one)))) )],[refute_0_5005,refute_0_5008]) ).
cnf(refute_0_5010,plain,
complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))))]]) ).
cnf(refute_0_5011,plain,
( complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) != complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))))
| meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) != meet(top,join(meet(top,complement(one)),meet(top,complement(one))))
| complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))),complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) ),[1,0],$fot(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_5012,plain,
( meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))) != meet(top,join(meet(top,complement(one)),meet(top,complement(one))))
| complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))),complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) )],[refute_0_5010,refute_0_5011]) ).
cnf(refute_0_5013,plain,
complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))),meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) )],[refute_0_5009,refute_0_5012]) ).
cnf(refute_0_5014,plain,
join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))),
inference(subst,[],[refute_0_455:[bind(X1,$fot(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))]]) ).
cnf(refute_0_5015,plain,
( complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) != complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))
| join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) != complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))))
| join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))))),bind(Y,$fot(complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))))),bind(Z,$fot(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))))]]) ).
cnf(refute_0_5016,plain,
( complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))) != complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))
| join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))),complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) )],[refute_0_5014,refute_0_5015]) ).
cnf(refute_0_5017,plain,
join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,join(one,one))),meet(top,complement(one))))),complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))) )],[refute_0_5013,refute_0_5016]) ).
cnf(refute_0_5018,plain,
( join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))) != complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))
| meet(top,join(one,one)) != join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))
| meet(top,join(one,one)) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(one,one)),join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) ),[1],$fot(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))))]]) ).
cnf(refute_0_5019,plain,
( meet(top,join(one,one)) != join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))
| meet(top,join(one,one)) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one))))),complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))) )],[refute_0_5017,refute_0_5018]) ).
cnf(refute_0_5020,plain,
meet(top,join(one,one)) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),
inference(resolve,[$cnf( $equal(meet(top,join(one,one)),join(zero,complement(join(complement(meet(top,join(one,one))),meet(top,complement(one)))))) )],[refute_0_4997,refute_0_5019]) ).
cnf(refute_0_5021,plain,
complement(meet(top,complement(one))) = complement(meet(top,complement(one))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(one))))]]) ).
cnf(refute_0_5022,plain,
( complement(meet(top,complement(one))) != complement(meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| complement(meet(top,complement(one))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(one))),complement(meet(top,complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5023,plain,
( meet(top,complement(one)) != complement(one)
| complement(meet(top,complement(one))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),complement(meet(top,complement(one)))) )],[refute_0_5021,refute_0_5022]) ).
cnf(refute_0_5024,plain,
complement(meet(top,complement(one))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_5023]) ).
cnf(refute_0_5025,plain,
( complement(meet(top,complement(one))) != complement(complement(one))
| one != complement(meet(top,complement(one)))
| one = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,complement(meet(top,complement(one)))) ),[1],$fot(complement(complement(one)))]]) ).
cnf(refute_0_5026,plain,
( one != complement(meet(top,complement(one)))
| one = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),complement(complement(one))) )],[refute_0_5024,refute_0_5025]) ).
cnf(refute_0_5027,plain,
one = complement(complement(one)),
inference(resolve,[$cnf( $equal(one,complement(meet(top,complement(one)))) )],[refute_0_481,refute_0_5026]) ).
cnf(refute_0_5028,plain,
( one != complement(complement(one))
| complement(complement(one)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(complement(complement(one))))]]) ).
cnf(refute_0_5029,plain,
complement(complement(one)) = one,
inference(resolve,[$cnf( $equal(one,complement(complement(one))) )],[refute_0_5027,refute_0_5028]) ).
cnf(refute_0_5030,plain,
complement(meet(one,one)) = complement(one),
inference(subst,[],[refute_0_352:[bind(X1,$fot(one))]]) ).
cnf(refute_0_5031,plain,
join(complement(one),complement(one)) = complement(meet(one,one)),
inference(subst,[],[refute_0_348:[bind(X0,$fot(one)),bind(X1,$fot(one))]]) ).
cnf(refute_0_5032,plain,
( complement(meet(one,one)) != complement(one)
| join(complement(one),complement(one)) != complement(meet(one,one))
| join(complement(one),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),complement(one)))),bind(Y,$fot(complement(meet(one,one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5033,plain,
( complement(meet(one,one)) != complement(one)
| join(complement(one),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(one)),complement(meet(one,one))) )],[refute_0_5031,refute_0_5032]) ).
cnf(refute_0_5034,plain,
join(complement(one),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(meet(one,one)),complement(one)) )],[refute_0_5030,refute_0_5033]) ).
cnf(refute_0_5035,plain,
join(complement(one),meet(top,complement(one))) = join(complement(one),meet(top,complement(one))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(top,complement(one))))]]) ).
cnf(refute_0_5036,plain,
( join(complement(one),meet(top,complement(one))) != join(complement(one),meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| join(complement(one),meet(top,complement(one))) = join(complement(one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(top,complement(one))),join(complement(one),meet(top,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5037,plain,
( meet(top,complement(one)) != complement(one)
| join(complement(one),meet(top,complement(one))) = join(complement(one),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(top,complement(one))),join(complement(one),meet(top,complement(one)))) )],[refute_0_5035,refute_0_5036]) ).
cnf(refute_0_5038,plain,
join(complement(one),meet(top,complement(one))) = join(complement(one),complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_5037]) ).
cnf(refute_0_5039,plain,
join(meet(top,complement(one)),meet(top,complement(one))) = join(meet(top,complement(one)),meet(top,complement(one))),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),meet(top,complement(one))))]]) ).
cnf(refute_0_5040,plain,
( join(meet(top,complement(one)),meet(top,complement(one))) != join(meet(top,complement(one)),meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),meet(top,complement(one))) = join(complement(one),meet(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),meet(top,complement(one))),join(meet(top,complement(one)),meet(top,complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5041,plain,
( meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),meet(top,complement(one))) = join(complement(one),meet(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),meet(top,complement(one))),join(meet(top,complement(one)),meet(top,complement(one)))) )],[refute_0_5039,refute_0_5040]) ).
cnf(refute_0_5042,plain,
join(meet(top,complement(one)),meet(top,complement(one))) = join(complement(one),meet(top,complement(one))),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_5041]) ).
cnf(refute_0_5043,plain,
( join(complement(one),meet(top,complement(one))) != join(complement(one),complement(one))
| join(meet(top,complement(one)),meet(top,complement(one))) != join(complement(one),meet(top,complement(one)))
| join(meet(top,complement(one)),meet(top,complement(one))) = join(complement(one),complement(one)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(top,complement(one)),meet(top,complement(one))))),bind(Y,$fot(join(complement(one),meet(top,complement(one))))),bind(Z,$fot(join(complement(one),complement(one))))]]) ).
cnf(refute_0_5044,plain,
( join(complement(one),meet(top,complement(one))) != join(complement(one),complement(one))
| join(meet(top,complement(one)),meet(top,complement(one))) = join(complement(one),complement(one)) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),meet(top,complement(one))),join(complement(one),meet(top,complement(one)))) )],[refute_0_5042,refute_0_5043]) ).
cnf(refute_0_5045,plain,
join(meet(top,complement(one)),meet(top,complement(one))) = join(complement(one),complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(top,complement(one))),join(complement(one),complement(one))) )],[refute_0_5038,refute_0_5044]) ).
cnf(refute_0_5046,plain,
( join(complement(one),complement(one)) != complement(one)
| join(meet(top,complement(one)),meet(top,complement(one))) != join(complement(one),complement(one))
| join(meet(top,complement(one)),meet(top,complement(one))) = complement(one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(top,complement(one)),meet(top,complement(one))))),bind(Y,$fot(join(complement(one),complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5047,plain,
( join(complement(one),complement(one)) != complement(one)
| join(meet(top,complement(one)),meet(top,complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),meet(top,complement(one))),join(complement(one),complement(one))) )],[refute_0_5045,refute_0_5046]) ).
cnf(refute_0_5048,plain,
join(meet(top,complement(one)),meet(top,complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),complement(one)),complement(one)) )],[refute_0_5034,refute_0_5047]) ).
cnf(refute_0_5049,plain,
meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = meet(top,join(meet(top,complement(one)),meet(top,complement(one)))),
introduced(tautology,[refl,[$fot(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))]]) ).
cnf(refute_0_5050,plain,
( join(meet(top,complement(one)),meet(top,complement(one))) != complement(one)
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) != meet(top,join(meet(top,complement(one)),meet(top,complement(one))))
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = meet(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))),meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5051,plain,
( join(meet(top,complement(one)),meet(top,complement(one))) != complement(one)
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = meet(top,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))),meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) )],[refute_0_5049,refute_0_5050]) ).
cnf(refute_0_5052,plain,
meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = meet(top,complement(one)),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),meet(top,complement(one))),complement(one)) )],[refute_0_5048,refute_0_5051]) ).
cnf(refute_0_5053,plain,
( meet(top,complement(one)) != complement(one)
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) != meet(top,complement(one))
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = complement(one) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))),bind(Y,$fot(meet(top,complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5054,plain,
( meet(top,complement(one)) != complement(one)
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))),meet(top,complement(one))) )],[refute_0_5052,refute_0_5053]) ).
cnf(refute_0_5055,plain,
meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_935,refute_0_5054]) ).
cnf(refute_0_5056,plain,
complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))))]]) ).
cnf(refute_0_5057,plain,
( complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) != complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))
| meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) != complement(one)
| complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5058,plain,
( meet(top,join(meet(top,complement(one)),meet(top,complement(one)))) != complement(one)
| complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))) )],[refute_0_5056,refute_0_5057]) ).
cnf(refute_0_5059,plain,
complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))),complement(one)) )],[refute_0_5055,refute_0_5058]) ).
cnf(refute_0_5060,plain,
( complement(complement(one)) != one
| complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) != complement(complement(one))
| complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = one ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5061,plain,
( complement(complement(one)) != one
| complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = one ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),complement(complement(one))) )],[refute_0_5059,refute_0_5060]) ).
cnf(refute_0_5062,plain,
complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_5029,refute_0_5061]) ).
cnf(refute_0_5063,plain,
( complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))) != one
| meet(top,join(one,one)) != complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))
| meet(top,join(one,one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(one,one)),complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))) ),[1],$fot(one)]]) ).
cnf(refute_0_5064,plain,
( meet(top,join(one,one)) != complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))
| meet(top,join(one,one)) = one ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one))))),one) )],[refute_0_5062,refute_0_5063]) ).
cnf(refute_0_5065,plain,
meet(top,join(one,one)) = one,
inference(resolve,[$cnf( $equal(meet(top,join(one,one)),complement(meet(top,join(meet(top,complement(one)),meet(top,complement(one)))))) )],[refute_0_5020,refute_0_5064]) ).
cnf(refute_0_5066,plain,
meet(top,join(one,one)) = join(one,one),
inference(subst,[],[refute_0_1963:[bind(X_50,$fot(join(one,one)))]]) ).
cnf(refute_0_5067,plain,
( meet(top,join(one,one)) != join(one,one)
| meet(top,join(one,one)) != one
| join(one,one) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(one,one)),one) ),[0],$fot(join(one,one))]]) ).
cnf(refute_0_5068,plain,
( meet(top,join(one,one)) != one
| join(one,one) = one ),
inference(resolve,[$cnf( $equal(meet(top,join(one,one)),join(one,one)) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(meet(top,join(one,one)),one) )],[refute_0_5065,refute_0_5068]) ).
cnf(refute_0_5070,plain,
( join(one,one) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(one,one) != one
| one = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5071,plain,
( join(one,one) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_5069,refute_0_5070]) ).
cnf(refute_0_5072,plain,
one = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,one),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4983,refute_0_5071]) ).
cnf(refute_0_5073,plain,
( one != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5074,plain,
join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5072,refute_0_5073]) ).
cnf(refute_0_5075,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) != one
| converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_5076,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),one) )],[refute_0_5074,refute_0_5075]) ).
cnf(refute_0_5077,plain,
converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_4973,refute_0_5076]) ).
cnf(refute_0_5078,plain,
converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5079,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))) ),[0],$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5080,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5078,refute_0_5079]) ).
cnf(refute_0_5081,plain,
meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5082,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5083,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5081,refute_0_5082]) ).
cnf(refute_0_5084,plain,
meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5078,refute_0_5083]) ).
cnf(refute_0_5085,plain,
meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5086,plain,
( converse(one) != one
| meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5087,plain,
( converse(one) != one
| meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5085,refute_0_5086]) ).
cnf(refute_0_5088,plain,
meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_5087]) ).
cnf(refute_0_5089,plain,
( meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5090,plain,
( meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5088,refute_0_5089]) ).
cnf(refute_0_5091,plain,
meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5084,refute_0_5090]) ).
cnf(refute_0_5092,plain,
meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) = meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(converse(one))),bind(X_30,$fot(converse(complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5093,plain,
( meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) != meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)))),bind(Y,$fot(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5094,plain,
( meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)),meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5092,refute_0_5093]) ).
cnf(refute_0_5095,plain,
meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(one),converse(complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5091,refute_0_5094]) ).
cnf(refute_0_5096,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))
| meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)) != meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[0],$fot(meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)))]]) ).
cnf(refute_0_5097,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one)),meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5095,refute_0_5096]) ).
cnf(refute_0_5098,plain,
( converse(complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))) )],[refute_0_5080,refute_0_5097]) ).
cnf(refute_0_5099,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(complement(join(skolemFOFtoCNF_X0,complement(one)))),converse(one))) )],[refute_0_5077,refute_0_5098]) ).
cnf(refute_0_5100,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5101,plain,
meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5099,refute_0_5100]) ).
cnf(refute_0_5102,plain,
( meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| one != join(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) ),[1,0],$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5103,plain,
( one != join(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5101,refute_0_5102]) ).
cnf(refute_0_5104,plain,
one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) )],[refute_0_4944,refute_0_5103]) ).
cnf(refute_0_5105,plain,
join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(one)),bind(X1,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5106,plain,
join(X0,join(complement(X_421),converse(complement(converse(X_421))))) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)),
inference(subst,[],[refute_0_661:[bind(X_56,$fot(complement(X_421))),bind(X_57,$fot(converse(complement(converse(X_421)))))]]) ).
cnf(refute_0_5107,plain,
( join(X0,join(complement(X_421),converse(complement(converse(X_421))))) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(complement(X_421),converse(complement(converse(X_421)))) != converse(complement(converse(X_421)))
| join(X0,converse(complement(converse(X_421)))) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(X_421),converse(complement(converse(X_421))))),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) ),[0,1],$fot(converse(complement(converse(X_421))))]]) ).
cnf(refute_0_5108,plain,
( join(X0,join(complement(X_421),converse(complement(converse(X_421))))) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(X0,converse(complement(converse(X_421)))) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X_421),converse(complement(converse(X_421)))),converse(complement(converse(X_421)))) )],[refute_0_2034,refute_0_5107]) ).
cnf(refute_0_5109,plain,
join(X0,converse(complement(converse(X_421)))) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(X_421),converse(complement(converse(X_421))))),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) )],[refute_0_5106,refute_0_5108]) ).
cnf(refute_0_5110,plain,
converse(converse(X_421)) = X_421,
inference(subst,[],[refute_0_54:[bind(X0,$fot(X_421))]]) ).
cnf(refute_0_5111,plain,
complement(converse(converse(X_421))) = complement(converse(converse(X_421))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_421))))]]) ).
cnf(refute_0_5112,plain,
( complement(converse(converse(X_421))) != complement(converse(converse(X_421)))
| converse(converse(X_421)) != X_421
| complement(converse(converse(X_421))) = complement(X_421) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_421))),complement(converse(converse(X_421)))) ),[1,0],$fot(X_421)]]) ).
cnf(refute_0_5113,plain,
( converse(converse(X_421)) != X_421
| complement(converse(converse(X_421))) = complement(X_421) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_421))),complement(converse(converse(X_421)))) )],[refute_0_5111,refute_0_5112]) ).
cnf(refute_0_5114,plain,
complement(converse(converse(X_421))) = complement(X_421),
inference(resolve,[$cnf( $equal(converse(converse(X_421)),X_421) )],[refute_0_5110,refute_0_5113]) ).
cnf(refute_0_5115,plain,
converse(complement(converse(X_421))) = complement(converse(converse(X_421))),
inference(subst,[],[refute_0_2065:[bind(X0,$fot(converse(X_421)))]]) ).
cnf(refute_0_5116,plain,
( complement(converse(converse(X_421))) != complement(X_421)
| converse(complement(converse(X_421))) != complement(converse(converse(X_421)))
| converse(complement(converse(X_421))) = complement(X_421) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(complement(converse(X_421))))),bind(Y,$fot(complement(converse(converse(X_421))))),bind(Z,$fot(complement(X_421)))]]) ).
cnf(refute_0_5117,plain,
( complement(converse(converse(X_421))) != complement(X_421)
| converse(complement(converse(X_421))) = complement(X_421) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_421))),complement(converse(converse(X_421)))) )],[refute_0_5115,refute_0_5116]) ).
cnf(refute_0_5118,plain,
converse(complement(converse(X_421))) = complement(X_421),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_421))),complement(X_421)) )],[refute_0_5114,refute_0_5117]) ).
cnf(refute_0_5119,plain,
join(X0,converse(complement(converse(X_421)))) = join(X0,converse(complement(converse(X_421)))),
introduced(tautology,[refl,[$fot(join(X0,converse(complement(converse(X_421)))))]]) ).
cnf(refute_0_5120,plain,
( converse(complement(converse(X_421))) != complement(X_421)
| join(X0,converse(complement(converse(X_421)))) != join(X0,converse(complement(converse(X_421))))
| join(X0,converse(complement(converse(X_421)))) = join(X0,complement(X_421)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(complement(converse(X_421)))),join(X0,converse(complement(converse(X_421))))) ),[1,1],$fot(complement(X_421))]]) ).
cnf(refute_0_5121,plain,
( converse(complement(converse(X_421))) != complement(X_421)
| join(X0,converse(complement(converse(X_421)))) = join(X0,complement(X_421)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(X_421)))),join(X0,converse(complement(converse(X_421))))) )],[refute_0_5119,refute_0_5120]) ).
cnf(refute_0_5122,plain,
join(X0,converse(complement(converse(X_421)))) = join(X0,complement(X_421)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_421))),complement(X_421)) )],[refute_0_5118,refute_0_5121]) ).
cnf(refute_0_5123,plain,
( join(X0,converse(complement(converse(X_421)))) != join(X0,complement(X_421))
| join(X0,converse(complement(converse(X_421)))) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(X0,complement(X_421)) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(complement(converse(X_421)))),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) ),[0],$fot(join(X0,complement(X_421)))]]) ).
cnf(refute_0_5124,plain,
( join(X0,converse(complement(converse(X_421)))) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(X0,complement(X_421)) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(X_421)))),join(X0,complement(X_421))) )],[refute_0_5122,refute_0_5123]) ).
cnf(refute_0_5125,plain,
join(complement(X_421),join(complement(X_421),X0)) = join(complement(X_421),X0),
inference(subst,[],[refute_0_1636:[bind(X1,$fot(complement(X_421))),bind(X2,$fot(X0))]]) ).
cnf(refute_0_5126,plain,
join(converse(complement(converse(X_421))),X0) = join(converse(complement(converse(X_421))),X0),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(X_421))),X0))]]) ).
cnf(refute_0_5127,plain,
( converse(complement(converse(X_421))) != complement(X_421)
| join(converse(complement(converse(X_421))),X0) != join(converse(complement(converse(X_421))),X0)
| join(converse(complement(converse(X_421))),X0) = join(complement(X_421),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(X_421))),X0),join(converse(complement(converse(X_421))),X0)) ),[1,0],$fot(complement(X_421))]]) ).
cnf(refute_0_5128,plain,
( converse(complement(converse(X_421))) != complement(X_421)
| join(converse(complement(converse(X_421))),X0) = join(complement(X_421),X0) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_421))),X0),join(converse(complement(converse(X_421))),X0)) )],[refute_0_5126,refute_0_5127]) ).
cnf(refute_0_5129,plain,
join(converse(complement(converse(X_421))),X0) = join(complement(X_421),X0),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_421))),complement(X_421)) )],[refute_0_5118,refute_0_5128]) ).
cnf(refute_0_5130,plain,
join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),join(converse(complement(converse(X_421))),X0)),
introduced(tautology,[refl,[$fot(join(complement(X_421),join(converse(complement(converse(X_421))),X0)))]]) ).
cnf(refute_0_5131,plain,
( join(complement(X_421),join(converse(complement(converse(X_421))),X0)) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(converse(complement(converse(X_421))),X0) != join(complement(X_421),X0)
| join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),join(complement(X_421),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_421),join(converse(complement(converse(X_421))),X0)),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) ),[1,1],$fot(join(complement(X_421),X0))]]) ).
cnf(refute_0_5132,plain,
( join(converse(complement(converse(X_421))),X0) != join(complement(X_421),X0)
| join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),join(complement(X_421),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X_421),join(converse(complement(converse(X_421))),X0)),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) )],[refute_0_5130,refute_0_5131]) ).
cnf(refute_0_5133,plain,
join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),join(complement(X_421),X0)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_421))),X0),join(complement(X_421),X0)) )],[refute_0_5129,refute_0_5132]) ).
cnf(refute_0_5134,plain,
( join(complement(X_421),join(complement(X_421),X0)) != join(complement(X_421),X0)
| join(complement(X_421),join(converse(complement(converse(X_421))),X0)) != join(complement(X_421),join(complement(X_421),X0))
| join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(X_421),join(converse(complement(converse(X_421))),X0)))),bind(Y,$fot(join(complement(X_421),join(complement(X_421),X0)))),bind(Z,$fot(join(complement(X_421),X0)))]]) ).
cnf(refute_0_5135,plain,
( join(complement(X_421),join(complement(X_421),X0)) != join(complement(X_421),X0)
| join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),X0) ),
inference(resolve,[$cnf( $equal(join(complement(X_421),join(converse(complement(converse(X_421))),X0)),join(complement(X_421),join(complement(X_421),X0))) )],[refute_0_5133,refute_0_5134]) ).
cnf(refute_0_5136,plain,
join(complement(X_421),join(converse(complement(converse(X_421))),X0)) = join(complement(X_421),X0),
inference(resolve,[$cnf( $equal(join(complement(X_421),join(complement(X_421),X0)),join(complement(X_421),X0)) )],[refute_0_5125,refute_0_5135]) ).
cnf(refute_0_5137,plain,
( join(X0,complement(X_421)) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(complement(X_421),join(converse(complement(converse(X_421))),X0)) != join(complement(X_421),X0)
| join(X0,complement(X_421)) = join(complement(X_421),X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,complement(X_421)),join(complement(X_421),X0)) ),[0],$fot(join(complement(X_421),join(converse(complement(converse(X_421))),X0)))]]) ).
cnf(refute_0_5138,plain,
( join(X0,complement(X_421)) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(X0,complement(X_421)) = join(complement(X_421),X0) ),
inference(resolve,[$cnf( $equal(join(complement(X_421),join(converse(complement(converse(X_421))),X0)),join(complement(X_421),X0)) )],[refute_0_5136,refute_0_5137]) ).
cnf(refute_0_5139,plain,
( join(X0,converse(complement(converse(X_421)))) != join(complement(X_421),join(converse(complement(converse(X_421))),X0))
| join(X0,complement(X_421)) = join(complement(X_421),X0) ),
inference(resolve,[$cnf( $equal(join(X0,complement(X_421)),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) )],[refute_0_5124,refute_0_5138]) ).
cnf(refute_0_5140,plain,
join(X0,complement(X_421)) = join(complement(X_421),X0),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(X_421)))),join(complement(X_421),join(converse(complement(converse(X_421))),X0))) )],[refute_0_5109,refute_0_5139]) ).
cnf(refute_0_5141,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) = join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_5140:[bind(X0,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_421,$fot(one))]]) ).
cnf(refute_0_5142,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) != join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),bind(Y,$fot(join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5143,plain,
( join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)),join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5141,refute_0_5142]) ).
cnf(refute_0_5144,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5105,refute_0_5143]) ).
cnf(refute_0_5145,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))]]) ).
cnf(refute_0_5146,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) != complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) ),[1,1],$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5147,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) != complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) )],[refute_0_5145,refute_0_5146]) ).
cnf(refute_0_5148,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5144,refute_0_5147]) ).
cnf(refute_0_5149,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))))]]) ).
cnf(refute_0_5150,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) ),[1,0],$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5151,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) )],[refute_0_5149,refute_0_5150]) ).
cnf(refute_0_5152,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5148,refute_0_5151]) ).
cnf(refute_0_5153,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X1,$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))]]) ).
cnf(refute_0_5154,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))))),bind(Y,$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))))),bind(Z,$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).
cnf(refute_0_5155,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) )],[refute_0_5153,refute_0_5154]) ).
cnf(refute_0_5156,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5152,refute_0_5155]) ).
cnf(refute_0_5157,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| one != join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))
| one = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) ),[1],$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5158,plain,
( one != join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))
| one = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5156,refute_0_5157]) ).
cnf(refute_0_5159,plain,
one = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))) )],[refute_0_5104,refute_0_5158]) ).
cnf(refute_0_5160,plain,
( one != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).
cnf(refute_0_5161,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5159,refute_0_5160]) ).
cnf(refute_0_5162,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != one
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5163,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),one) )],[refute_0_5161,refute_0_5162]) ).
cnf(refute_0_5164,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_4943,refute_0_5163]) ).
cnf(refute_0_5165,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(one)
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5166,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(one)) )],[refute_0_5164,refute_0_5165]) ).
cnf(refute_0_5167,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_4942,refute_0_5166]) ).
cnf(refute_0_5168,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X1,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5169,plain,
join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_5140:[bind(X0,$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(X_421,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5170,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5171,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5169,refute_0_5170]) ).
cnf(refute_0_5172,plain,
join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5168,refute_0_5171]) ).
cnf(refute_0_5173,plain,
meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5174,plain,
( join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5175,plain,
( join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5173,refute_0_5174]) ).
cnf(refute_0_5176,plain,
meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5172,refute_0_5175]) ).
cnf(refute_0_5177,plain,
complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5178,plain,
( complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5179,plain,
( meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5177,refute_0_5178]) ).
cnf(refute_0_5180,plain,
complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5176,refute_0_5179]) ).
cnf(refute_0_5181,plain,
join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5182,plain,
( complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))),bind(Y,$fot(complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))),bind(Z,$fot(complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).
cnf(refute_0_5183,plain,
( complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5181,refute_0_5182]) ).
cnf(refute_0_5184,plain,
join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5180,refute_0_5183]) ).
cnf(refute_0_5185,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) ),[0],$fot(join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5186,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5184,refute_0_5185]) ).
cnf(refute_0_5187,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),complement(join(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5167,refute_0_5186]) ).
cnf(refute_0_5188,plain,
meet(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_3203:[bind(X_463,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_464,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5189,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_30,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5190,plain,
complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(subst,[],[refute_0_1077:[bind(X_89,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_90,$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5191,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(one)
| complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5192,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(one)) )],[refute_0_5164,refute_0_5191]) ).
cnf(refute_0_5193,plain,
complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5190,refute_0_5192]) ).
cnf(refute_0_5194,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5195,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4755,refute_0_5194]) ).
cnf(refute_0_5196,plain,
join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_4915,refute_0_5195]) ).
cnf(refute_0_5197,plain,
converse(meet(complement(skolemFOFtoCNF_X0),one)) = converse(meet(complement(skolemFOFtoCNF_X0),one)),
introduced(tautology,[refl,[$fot(converse(meet(complement(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_5198,plain,
( converse(meet(complement(skolemFOFtoCNF_X0),one)) != converse(meet(complement(skolemFOFtoCNF_X0),one))
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(meet(complement(skolemFOFtoCNF_X0),one)) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(skolemFOFtoCNF_X0),one)),converse(meet(complement(skolemFOFtoCNF_X0),one))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5199,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(meet(complement(skolemFOFtoCNF_X0),one)) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(skolemFOFtoCNF_X0),one)),converse(meet(complement(skolemFOFtoCNF_X0),one))) )],[refute_0_5197,refute_0_5198]) ).
cnf(refute_0_5200,plain,
converse(meet(complement(skolemFOFtoCNF_X0),one)) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_32,refute_0_5199]) ).
cnf(refute_0_5201,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(meet(complement(skolemFOFtoCNF_X0),one)),
inference(subst,[],[refute_0_3129:[bind(X_465,$fot(one)),bind(X_466,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5202,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(meet(complement(skolemFOFtoCNF_X0),one))
| converse(meet(complement(skolemFOFtoCNF_X0),one)) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(converse(meet(complement(skolemFOFtoCNF_X0),one)))),bind(Z,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5203,plain,
( converse(meet(complement(skolemFOFtoCNF_X0),one)) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(meet(complement(skolemFOFtoCNF_X0),one))) )],[refute_0_5201,refute_0_5202]) ).
cnf(refute_0_5204,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(complement(skolemFOFtoCNF_X0),one)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5200,refute_0_5203]) ).
cnf(refute_0_5205,plain,
converse(join(complement(one),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_2688:[bind(X_16,$fot(skolemFOFtoCNF_X0)),bind(X_421,$fot(one))]]) ).
cnf(refute_0_5206,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(complement(one),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3077:[bind(X_5,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5207,plain,
( converse(join(complement(one),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(complement(one),skolemFOFtoCNF_X0))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(complement(one),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5208,plain,
( converse(join(complement(one),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_5206,refute_0_5207]) ).
cnf(refute_0_5209,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5205,refute_0_5208]) ).
cnf(refute_0_5210,plain,
join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1062:[bind(X_129,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5211,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5212,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5213,plain,
( join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5211,refute_0_5212]) ).
cnf(refute_0_5214,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_5210,refute_0_5213]) ).
cnf(refute_0_5215,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5216,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_5214,refute_0_5215]) ).
cnf(refute_0_5217,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5209,refute_0_5216]) ).
cnf(refute_0_5218,plain,
converse(join(converse(X0),join(X_447,complement(one)))) = join(X0,converse(join(X_447,complement(one)))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(join(X_447,complement(one))))]]) ).
cnf(refute_0_5219,plain,
join(X_341,join(X_340,converse(complement(one)))) = join(X_340,join(X_341,converse(complement(one)))),
inference(subst,[],[refute_0_4583:[bind(X_15,$fot(X_340)),bind(X_16,$fot(X_341)),bind(X_5,$fot(complement(one)))]]) ).
cnf(refute_0_5220,plain,
( converse(complement(one)) != complement(one)
| join(X_341,join(X_340,converse(complement(one)))) != join(X_340,join(X_341,converse(complement(one))))
| join(X_341,join(X_340,complement(one))) = join(X_340,join(X_341,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_341,join(X_340,converse(complement(one)))),join(X_340,join(X_341,converse(complement(one))))) ),[0,1,1],$fot(complement(one))]]) ).
cnf(refute_0_5221,plain,
( join(X_341,join(X_340,converse(complement(one)))) != join(X_340,join(X_341,converse(complement(one))))
| join(X_341,join(X_340,complement(one))) = join(X_340,join(X_341,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_5220]) ).
cnf(refute_0_5222,plain,
join(X_341,join(X_340,complement(one))) = join(X_340,join(X_341,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(X_341,join(X_340,converse(complement(one)))),join(X_340,join(X_341,converse(complement(one))))) )],[refute_0_5219,refute_0_5221]) ).
cnf(refute_0_5223,plain,
join(X_341,converse(complement(one))) = join(X_341,converse(complement(one))),
introduced(tautology,[refl,[$fot(join(X_341,converse(complement(one))))]]) ).
cnf(refute_0_5224,plain,
( converse(complement(one)) != complement(one)
| join(X_341,converse(complement(one))) != join(X_341,converse(complement(one)))
| join(X_341,converse(complement(one))) = join(X_341,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_341,converse(complement(one))),join(X_341,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5225,plain,
( converse(complement(one)) != complement(one)
| join(X_341,converse(complement(one))) = join(X_341,complement(one)) ),
inference(resolve,[$cnf( $equal(join(X_341,converse(complement(one))),join(X_341,converse(complement(one)))) )],[refute_0_5223,refute_0_5224]) ).
cnf(refute_0_5226,plain,
join(X_341,converse(complement(one))) = join(X_341,complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_5225]) ).
cnf(refute_0_5227,plain,
join(X_340,join(X_341,converse(complement(one)))) = join(X_340,join(X_341,converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(X_340,join(X_341,converse(complement(one)))))]]) ).
cnf(refute_0_5228,plain,
( join(X_340,join(X_341,converse(complement(one)))) != join(X_340,join(X_341,converse(complement(one))))
| join(X_341,converse(complement(one))) != join(X_341,complement(one))
| join(X_340,join(X_341,converse(complement(one)))) = join(X_340,join(X_341,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_340,join(X_341,converse(complement(one)))),join(X_340,join(X_341,converse(complement(one))))) ),[1,1],$fot(join(X_341,complement(one)))]]) ).
cnf(refute_0_5229,plain,
( join(X_341,converse(complement(one))) != join(X_341,complement(one))
| join(X_340,join(X_341,converse(complement(one)))) = join(X_340,join(X_341,complement(one))) ),
inference(resolve,[$cnf( $equal(join(X_340,join(X_341,converse(complement(one)))),join(X_340,join(X_341,converse(complement(one))))) )],[refute_0_5227,refute_0_5228]) ).
cnf(refute_0_5230,plain,
join(X_340,join(X_341,converse(complement(one)))) = join(X_340,join(X_341,complement(one))),
inference(resolve,[$cnf( $equal(join(X_341,converse(complement(one))),join(X_341,complement(one))) )],[refute_0_5226,refute_0_5229]) ).
cnf(refute_0_5231,plain,
( join(X_340,join(X_341,converse(complement(one)))) != join(X_340,join(X_341,complement(one)))
| join(X_341,join(X_340,complement(one))) != join(X_340,join(X_341,converse(complement(one))))
| join(X_341,join(X_340,complement(one))) = join(X_340,join(X_341,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_341,join(X_340,complement(one))),join(X_340,join(X_341,converse(complement(one))))) ),[1],$fot(join(X_340,join(X_341,complement(one))))]]) ).
cnf(refute_0_5232,plain,
( join(X_341,join(X_340,complement(one))) != join(X_340,join(X_341,converse(complement(one))))
| join(X_341,join(X_340,complement(one))) = join(X_340,join(X_341,complement(one))) ),
inference(resolve,[$cnf( $equal(join(X_340,join(X_341,converse(complement(one)))),join(X_340,join(X_341,complement(one)))) )],[refute_0_5230,refute_0_5231]) ).
cnf(refute_0_5233,plain,
join(X_341,join(X_340,complement(one))) = join(X_340,join(X_341,complement(one))),
inference(resolve,[$cnf( $equal(join(X_341,join(X_340,complement(one))),join(X_340,join(X_341,converse(complement(one))))) )],[refute_0_5222,refute_0_5232]) ).
cnf(refute_0_5234,plain,
join(converse(X0),join(X_447,complement(one))) = join(X_447,join(converse(X0),complement(one))),
inference(subst,[],[refute_0_5233:[bind(X_340,$fot(X_447)),bind(X_341,$fot(converse(X0)))]]) ).
cnf(refute_0_5235,plain,
( converse(join(converse(X0),join(X_447,complement(one)))) != join(X0,converse(join(X_447,complement(one))))
| join(converse(X0),join(X_447,complement(one))) != join(X_447,join(converse(X0),complement(one)))
| converse(join(X_447,join(converse(X0),complement(one)))) = join(X0,converse(join(X_447,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_447,complement(one)))),join(X0,converse(join(X_447,complement(one))))) ),[0,0],$fot(join(X_447,join(converse(X0),complement(one))))]]) ).
cnf(refute_0_5236,plain,
( converse(join(converse(X0),join(X_447,complement(one)))) != join(X0,converse(join(X_447,complement(one))))
| converse(join(X_447,join(converse(X0),complement(one)))) = join(X0,converse(join(X_447,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_447,complement(one))),join(X_447,join(converse(X0),complement(one)))) )],[refute_0_5234,refute_0_5235]) ).
cnf(refute_0_5237,plain,
converse(join(X_447,join(converse(X0),complement(one)))) = join(X0,converse(join(X_447,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_447,complement(one)))),join(X0,converse(join(X_447,complement(one))))) )],[refute_0_5218,refute_0_5236]) ).
cnf(refute_0_5238,plain,
join(converse(join(X0,complement(one))),X_8) = join(converse(X0),join(converse(complement(one)),X_8)),
inference(subst,[],[refute_0_1192:[bind(X_9,$fot(complement(one)))]]) ).
cnf(refute_0_5239,plain,
( converse(complement(one)) != complement(one)
| join(converse(join(X0,complement(one))),X_8) != join(converse(X0),join(converse(complement(one)),X_8))
| join(converse(join(X0,complement(one))),X_8) = join(converse(X0),join(complement(one),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,complement(one))),X_8),join(converse(X0),join(converse(complement(one)),X_8))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_5240,plain,
( join(converse(join(X0,complement(one))),X_8) != join(converse(X0),join(converse(complement(one)),X_8))
| join(converse(join(X0,complement(one))),X_8) = join(converse(X0),join(complement(one),X_8)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1464,refute_0_5239]) ).
cnf(refute_0_5241,plain,
join(converse(join(X0,complement(one))),X_8) = join(converse(X0),join(complement(one),X_8)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,complement(one))),X_8),join(converse(X0),join(converse(complement(one)),X_8))) )],[refute_0_5238,refute_0_5240]) ).
cnf(refute_0_5242,plain,
( join(X_149,join(X_151,converse(X_150))) != join(converse(X_150),join(X_149,X_151))
| join(converse(X_150),join(X_149,X_151)) = join(X_149,join(X_151,converse(X_150))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_149,join(X_151,converse(X_150))))),bind(Y,$fot(join(converse(X_150),join(X_149,X_151))))]]) ).
cnf(refute_0_5243,plain,
join(converse(X_150),join(X_149,X_151)) = join(X_149,join(X_151,converse(X_150))),
inference(resolve,[$cnf( $equal(join(X_149,join(X_151,converse(X_150))),join(converse(X_150),join(X_149,X_151))) )],[refute_0_4870,refute_0_5242]) ).
cnf(refute_0_5244,plain,
join(converse(X0),join(complement(one),X_8)) = join(complement(one),join(X_8,converse(X0))),
inference(subst,[],[refute_0_5243:[bind(X_149,$fot(complement(one))),bind(X_150,$fot(X0)),bind(X_151,$fot(X_8))]]) ).
cnf(refute_0_5245,plain,
( join(converse(X0),join(complement(one),X_8)) != join(complement(one),join(X_8,converse(X0)))
| join(converse(join(X0,complement(one))),X_8) != join(converse(X0),join(complement(one),X_8))
| join(converse(join(X0,complement(one))),X_8) = join(complement(one),join(X_8,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,complement(one))),X_8),join(converse(X0),join(complement(one),X_8))) ),[1],$fot(join(complement(one),join(X_8,converse(X0))))]]) ).
cnf(refute_0_5246,plain,
( join(converse(join(X0,complement(one))),X_8) != join(converse(X0),join(complement(one),X_8))
| join(converse(join(X0,complement(one))),X_8) = join(complement(one),join(X_8,converse(X0))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(complement(one),X_8)),join(complement(one),join(X_8,converse(X0)))) )],[refute_0_5244,refute_0_5245]) ).
cnf(refute_0_5247,plain,
join(converse(join(X0,complement(one))),X_8) = join(complement(one),join(X_8,converse(X0))),
inference(resolve,[$cnf( $equal(join(converse(join(X0,complement(one))),X_8),join(converse(X0),join(complement(one),X_8))) )],[refute_0_5241,refute_0_5246]) ).
cnf(refute_0_5248,plain,
join(converse(join(X_447,complement(one))),X0) = join(complement(one),join(X0,converse(X_447))),
inference(subst,[],[refute_0_5247:[bind(X0,$fot(X_447)),bind(X_8,$fot(X0))]]) ).
cnf(refute_0_5249,plain,
converse(join(X_447,join(complement(one),converse(X0)))) = join(converse(join(X_447,complement(one))),X0),
inference(subst,[],[refute_0_1188:[bind(X_56,$fot(X_447)),bind(X_57,$fot(complement(one)))]]) ).
cnf(refute_0_5250,plain,
( converse(join(X_447,join(complement(one),converse(X0)))) != join(converse(join(X_447,complement(one))),X0)
| join(converse(join(X_447,complement(one))),X0) != join(complement(one),join(X0,converse(X_447)))
| converse(join(X_447,join(complement(one),converse(X0)))) = join(complement(one),join(X0,converse(X_447))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(X_447,join(complement(one),converse(X0)))))),bind(Y,$fot(join(converse(join(X_447,complement(one))),X0))),bind(Z,$fot(join(complement(one),join(X0,converse(X_447)))))]]) ).
cnf(refute_0_5251,plain,
( join(converse(join(X_447,complement(one))),X0) != join(complement(one),join(X0,converse(X_447)))
| converse(join(X_447,join(complement(one),converse(X0)))) = join(complement(one),join(X0,converse(X_447))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(complement(one),converse(X0)))),join(converse(join(X_447,complement(one))),X0)) )],[refute_0_5249,refute_0_5250]) ).
cnf(refute_0_5252,plain,
converse(join(X_447,join(complement(one),converse(X0)))) = join(complement(one),join(X0,converse(X_447))),
inference(resolve,[$cnf( $equal(join(converse(join(X_447,complement(one))),X0),join(complement(one),join(X0,converse(X_447)))) )],[refute_0_5248,refute_0_5251]) ).
cnf(refute_0_5253,plain,
converse(join(X_447,join(converse(X0),complement(one)))) = converse(join(X_447,join(complement(one),converse(X0)))),
inference(subst,[],[refute_0_4396:[bind(X1,$fot(converse(X0))),bind(X_344,$fot(complement(one))),bind(X_346,$fot(X_447))]]) ).
cnf(refute_0_5254,plain,
( converse(join(X_447,join(complement(one),converse(X0)))) != join(complement(one),join(X0,converse(X_447)))
| converse(join(X_447,join(converse(X0),complement(one)))) != converse(join(X_447,join(complement(one),converse(X0))))
| converse(join(X_447,join(converse(X0),complement(one)))) = join(complement(one),join(X0,converse(X_447))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(X_447,join(converse(X0),complement(one)))))),bind(Y,$fot(converse(join(X_447,join(complement(one),converse(X0)))))),bind(Z,$fot(join(complement(one),join(X0,converse(X_447)))))]]) ).
cnf(refute_0_5255,plain,
( converse(join(X_447,join(complement(one),converse(X0)))) != join(complement(one),join(X0,converse(X_447)))
| converse(join(X_447,join(converse(X0),complement(one)))) = join(complement(one),join(X0,converse(X_447))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(converse(X0),complement(one)))),converse(join(X_447,join(complement(one),converse(X0))))) )],[refute_0_5253,refute_0_5254]) ).
cnf(refute_0_5256,plain,
converse(join(X_447,join(converse(X0),complement(one)))) = join(complement(one),join(X0,converse(X_447))),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(complement(one),converse(X0)))),join(complement(one),join(X0,converse(X_447)))) )],[refute_0_5252,refute_0_5255]) ).
cnf(refute_0_5257,plain,
( converse(join(X_447,join(converse(X0),complement(one)))) != join(X0,converse(join(X_447,complement(one))))
| converse(join(X_447,join(converse(X0),complement(one)))) != join(complement(one),join(X0,converse(X_447)))
| join(complement(one),join(X0,converse(X_447))) = join(X0,converse(join(X_447,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_447,join(converse(X0),complement(one)))),join(X0,converse(join(X_447,complement(one))))) ),[0],$fot(join(complement(one),join(X0,converse(X_447))))]]) ).
cnf(refute_0_5258,plain,
( converse(join(X_447,join(converse(X0),complement(one)))) != join(X0,converse(join(X_447,complement(one))))
| join(complement(one),join(X0,converse(X_447))) = join(X0,converse(join(X_447,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(converse(X0),complement(one)))),join(complement(one),join(X0,converse(X_447)))) )],[refute_0_5256,refute_0_5257]) ).
cnf(refute_0_5259,plain,
join(complement(one),join(X0,converse(X_447))) = join(X0,converse(join(X_447,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(converse(X0),complement(one)))),join(X0,converse(join(X_447,complement(one))))) )],[refute_0_5237,refute_0_5258]) ).
cnf(refute_0_5260,plain,
( join(complement(one),join(X0,converse(X_447))) != join(X0,converse(join(X_447,complement(one))))
| join(X0,converse(join(X_447,complement(one)))) = join(complement(one),join(X0,converse(X_447))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(one),join(X0,converse(X_447))))),bind(Y,$fot(join(X0,converse(join(X_447,complement(one))))))]]) ).
cnf(refute_0_5261,plain,
join(X0,converse(join(X_447,complement(one)))) = join(complement(one),join(X0,converse(X_447))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X0,converse(X_447))),join(X0,converse(join(X_447,complement(one))))) )],[refute_0_5259,refute_0_5260]) ).
cnf(refute_0_5262,plain,
join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_5261:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X_447,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5263,plain,
join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) = join(X_326,join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_661:[bind(X0,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_56,$fot(X_326)),bind(X_57,$fot(complement(one)))]]) ).
cnf(refute_0_5264,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_5265,plain,
converse(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5266,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5267,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_583:[bind(X0,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5268,plain,
one = join(meet(one,converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(one)),bind(X_38,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5269,plain,
converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(converse(skolemFOFtoCNF_X0))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_5270,plain,
converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5271,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1604:[bind(X_58,$fot(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5272,plain,
converse(top) = join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_545:[bind(X_10,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5273,plain,
( converse(top) != join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5274,plain,
join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5272,refute_0_5273]) ).
cnf(refute_0_5275,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(top)
| join(one,converse(top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_5276,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(one,converse(top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(top)) )],[refute_0_5274,refute_0_5275]) ).
cnf(refute_0_5277,plain,
join(one,converse(top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5271,refute_0_5276]) ).
cnf(refute_0_5278,plain,
( join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_5279,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_2465,refute_0_5278]) ).
cnf(refute_0_5280,plain,
join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5281,plain,
( converse(join(one,top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,top)),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5282,plain,
( converse(join(one,top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5280,refute_0_5281]) ).
cnf(refute_0_5283,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5279,refute_0_5282]) ).
cnf(refute_0_5284,plain,
converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5277,refute_0_5283]) ).
cnf(refute_0_5285,plain,
( converse(join(one,top)) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5286,plain,
converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5284,refute_0_5285]) ).
cnf(refute_0_5287,plain,
( converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(one,top))
| converse(converse(join(one,top))) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_5288,plain,
( converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(converse(join(one,top))) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(one,top))) )],[refute_0_5286,refute_0_5287]) ).
cnf(refute_0_5289,plain,
converse(converse(join(one,top))) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5270,refute_0_5288]) ).
cnf(refute_0_5290,plain,
converse(converse(join(one,top))) = join(one,top),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(one,top)))]]) ).
cnf(refute_0_5291,plain,
( converse(converse(join(one,top))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(converse(join(one,top))) != join(one,top)
| join(one,top) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,top))),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_5292,plain,
( converse(converse(join(one,top))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,top) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(one,top))),join(one,top)) )],[refute_0_5290,refute_0_5291]) ).
cnf(refute_0_5293,plain,
join(one,top) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,top))),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5289,refute_0_5292]) ).
cnf(refute_0_5294,plain,
( join(one,top) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,complement(converse(skolemFOFtoCNF_X0))) = join(one,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5295,plain,
join(one,complement(converse(skolemFOFtoCNF_X0))) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5293,refute_0_5294]) ).
cnf(refute_0_5296,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != join(one,top)
| converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1,0],$fot(join(one,top))]]) ).
cnf(refute_0_5297,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),join(one,top)) )],[refute_0_5295,refute_0_5296]) ).
cnf(refute_0_5298,plain,
converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5269,refute_0_5297]) ).
cnf(refute_0_5299,plain,
meet(converse(skolemFOFtoCNF_X0),one) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5300,plain,
join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) = join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)),
introduced(tautology,[refl,[$fot(join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_5301,plain,
( join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) != join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one))
| meet(converse(skolemFOFtoCNF_X0),one) != meet(one,converse(skolemFOFtoCNF_X0))
| join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)),join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one))) ),[1,1],$fot(meet(one,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5302,plain,
( meet(converse(skolemFOFtoCNF_X0),one) != meet(one,converse(skolemFOFtoCNF_X0))
| join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)),join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one))) )],[refute_0_5300,refute_0_5301]) ).
cnf(refute_0_5303,plain,
join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),one),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_5299,refute_0_5302]) ).
cnf(refute_0_5304,plain,
join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) = join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(one,top)))),bind(X1,$fot(meet(converse(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_5305,plain,
( join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) != join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) != join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))))),bind(Y,$fot(join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)))),bind(Z,$fot(join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5306,plain,
( join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)) != join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))),join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one))) )],[refute_0_5304,refute_0_5305]) ).
cnf(refute_0_5307,plain,
join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),meet(converse(skolemFOFtoCNF_X0),one)),join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_5303,refute_0_5306]) ).
cnf(refute_0_5308,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top)))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))) != join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))))]]) ).
cnf(refute_0_5309,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top)))
| converse(skolemFOFtoCNF_X0) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top))),join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_5307,refute_0_5308]) ).
cnf(refute_0_5310,plain,
converse(skolemFOFtoCNF_X0) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,top)))) )],[refute_0_5298,refute_0_5309]) ).
cnf(refute_0_5311,plain,
join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) = join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5312,plain,
( complement(join(one,top)) != zero
| join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) != join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))
| join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5313,plain,
( complement(join(one,top)) != zero
| join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_5311,refute_0_5312]) ).
cnf(refute_0_5314,plain,
join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,top)),zero) )],[refute_0_1698,refute_0_5313]) ).
cnf(refute_0_5315,plain,
( converse(skolemFOFtoCNF_X0) != join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))
| join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))) != join(zero,meet(one,converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),join(zero,meet(one,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5316,plain,
( converse(skolemFOFtoCNF_X0) != join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0))),join(zero,meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_5314,refute_0_5315]) ).
cnf(refute_0_5317,plain,
converse(skolemFOFtoCNF_X0) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(complement(join(one,top)),meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_5310,refute_0_5316]) ).
cnf(refute_0_5318,plain,
join(zero,meet(one,converse(skolemFOFtoCNF_X0))) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5319,plain,
( converse(skolemFOFtoCNF_X0) != join(zero,meet(one,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(one,converse(skolemFOFtoCNF_X0))) != meet(one,converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),meet(one,converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(zero,meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5320,plain,
( converse(skolemFOFtoCNF_X0) != join(zero,meet(one,converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,converse(skolemFOFtoCNF_X0))),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_5318,refute_0_5319]) ).
cnf(refute_0_5321,plain,
converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(zero,meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_5317,refute_0_5320]) ).
cnf(refute_0_5322,plain,
( converse(skolemFOFtoCNF_X0) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5323,plain,
meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_5321,refute_0_5322]) ).
cnf(refute_0_5324,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| one != join(meet(one,converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5325,plain,
( one != join(meet(one,converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_5323,refute_0_5324]) ).
cnf(refute_0_5326,plain,
one = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))) )],[refute_0_5268,refute_0_5325]) ).
cnf(refute_0_5327,plain,
complement(join(complement(one),converse(skolemFOFtoCNF_X0))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5328,plain,
( complement(join(complement(one),converse(skolemFOFtoCNF_X0))) != complement(join(complement(one),converse(skolemFOFtoCNF_X0)))
| join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(complement(one),converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),converse(skolemFOFtoCNF_X0))),complement(join(complement(one),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5329,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(complement(one),converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(skolemFOFtoCNF_X0))),complement(join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5327,refute_0_5328]) ).
cnf(refute_0_5330,plain,
complement(join(complement(one),converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5209,refute_0_5329]) ).
cnf(refute_0_5331,plain,
complement(join(converse(skolemFOFtoCNF_X0),complement(one))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2744:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5332,plain,
( complement(join(complement(one),converse(skolemFOFtoCNF_X0))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| complement(join(converse(skolemFOFtoCNF_X0),complement(one))) != complement(join(complement(one),converse(skolemFOFtoCNF_X0)))
| complement(join(converse(skolemFOFtoCNF_X0),complement(one))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(converse(skolemFOFtoCNF_X0),complement(one))))),bind(Y,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5333,plain,
( complement(join(complement(one),converse(skolemFOFtoCNF_X0))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| complement(join(converse(skolemFOFtoCNF_X0),complement(one))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5331,refute_0_5332]) ).
cnf(refute_0_5334,plain,
complement(join(converse(skolemFOFtoCNF_X0),complement(one))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(skolemFOFtoCNF_X0))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5330,refute_0_5333]) ).
cnf(refute_0_5335,plain,
join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_5336,plain,
( complement(join(converse(skolemFOFtoCNF_X0),complement(one))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) != join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))) ),[1,1],$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5337,plain,
( complement(join(converse(skolemFOFtoCNF_X0),complement(one))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))) )],[refute_0_5335,refute_0_5336]) ).
cnf(refute_0_5338,plain,
join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),complement(one))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5334,refute_0_5337]) ).
cnf(refute_0_5339,plain,
( join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))) != join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| one != join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))) ),[1],$fot(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5340,plain,
( one != join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one)))),join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5338,refute_0_5339]) ).
cnf(refute_0_5341,plain,
one = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(one))))) )],[refute_0_5326,refute_0_5340]) ).
cnf(refute_0_5342,plain,
( one != join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5343,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5341,refute_0_5342]) ).
cnf(refute_0_5344,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != one
| converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5345,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),one) )],[refute_0_5343,refute_0_5344]) ).
cnf(refute_0_5346,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5267,refute_0_5345]) ).
cnf(refute_0_5347,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_537:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5348,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5349,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5267,refute_0_5348]) ).
cnf(refute_0_5350,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5347,refute_0_5349]) ).
cnf(refute_0_5351,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != converse(one)
| converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),converse(one)) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5352,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5350,refute_0_5351]) ).
cnf(refute_0_5353,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_5354,plain,
( join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_5353]) ).
cnf(refute_0_5355,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(one)) )],[refute_0_5352,refute_0_5354]) ).
cnf(refute_0_5356,plain,
join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = one,
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),converse(one)) )],[refute_0_5346,refute_0_5355]) ).
cnf(refute_0_5357,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != one
| join(one,one) = join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_5358,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(one,one) = join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),one) )],[refute_0_5356,refute_0_5357]) ).
cnf(refute_0_5359,plain,
join(one,one) = join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5266,refute_0_5358]) ).
cnf(refute_0_5360,plain,
( join(one,one) != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(one,one) != one
| one = join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5361,plain,
( join(one,one) != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| one = join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_5069,refute_0_5360]) ).
cnf(refute_0_5362,plain,
join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_1757:[bind(X_5,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5363,plain,
( join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| one != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| one = converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1],$fot(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5364,plain,
( one != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| one = converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5362,refute_0_5363]) ).
cnf(refute_0_5365,plain,
( join(one,one) != join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| one = converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5361,refute_0_5364]) ).
cnf(refute_0_5366,plain,
one = converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,one),join(one,converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5359,refute_0_5365]) ).
cnf(refute_0_5367,plain,
( one != converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5368,plain,
converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5366,refute_0_5367]) ).
cnf(refute_0_5369,plain,
( converse(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != one
| converse(one) = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5370,plain,
( converse(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(one) = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),one) )],[refute_0_5368,refute_0_5369]) ).
cnf(refute_0_5371,plain,
converse(one) = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5265,refute_0_5370]) ).
cnf(refute_0_5372,plain,
( converse(one) != join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(one) != one
| one = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5373,plain,
( converse(one) != join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| one = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_260,refute_0_5372]) ).
cnf(refute_0_5374,plain,
one = join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(one),join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5371,refute_0_5373]) ).
cnf(refute_0_5375,plain,
( one != join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5376,plain,
join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5374,refute_0_5375]) ).
cnf(refute_0_5377,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != one
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_5378,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),one) )],[refute_0_5376,refute_0_5377]) ).
cnf(refute_0_5379,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(one,complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5264,refute_0_5378]) ).
cnf(refute_0_5380,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5381,plain,
join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)))]]) ).
cnf(refute_0_5382,plain,
( join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) != join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one) != meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)),join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one))) ),[1,1],$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5383,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one) != meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)),join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one))) )],[refute_0_5381,refute_0_5382]) ).
cnf(refute_0_5384,plain,
join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5380,refute_0_5383]) ).
cnf(refute_0_5385,plain,
join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) = join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_5386,plain,
( join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) != join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one))
| join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)))),bind(Z,$fot(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5387,plain,
( join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)),join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one))) )],[refute_0_5385,refute_0_5386]) ).
cnf(refute_0_5388,plain,
join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one)),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5384,refute_0_5387]) ).
cnf(refute_0_5389,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one))
| join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[0],$fot(join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)))]]) ).
cnf(refute_0_5390,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one)),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5388,refute_0_5389]) ).
cnf(refute_0_5391,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),one),complement(one))) )],[refute_0_5379,refute_0_5390]) ).
cnf(refute_0_5392,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5393,plain,
join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5391,refute_0_5392]) ).
cnf(refute_0_5394,plain,
( join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) != join(X_326,join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) = join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))),join(X_326,join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5395,plain,
( join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) != join(X_326,join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) = join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5393,refute_0_5394]) ).
cnf(refute_0_5396,plain,
join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) = join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))),join(X_326,join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5263,refute_0_5395]) ).
cnf(refute_0_5397,plain,
join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) = join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_2020:[bind(X_325,$fot(complement(one))),bind(X_326,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_327,$fot(X_326))]]) ).
cnf(refute_0_5398,plain,
( join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) != join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) != join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))),join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5399,plain,
( join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))) != join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))),join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5397,refute_0_5398]) ).
cnf(refute_0_5400,plain,
join(complement(one),join(X_326,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),join(X_326,complement(one))),join(X_326,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5396,refute_0_5399]) ).
cnf(refute_0_5401,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_5400:[bind(X_326,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5402,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5403,plain,
( join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5401,refute_0_5402]) ).
cnf(refute_0_5404,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5262,refute_0_5403]) ).
cnf(refute_0_5405,plain,
join(join(X_340,converse(X_342)),X1) = join(X1,join(X_340,converse(X_342))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(X_340,converse(X_342))))]]) ).
cnf(refute_0_5406,plain,
join(X1,join(X_340,converse(X_342))) = join(X_340,join(X1,converse(X_342))),
inference(subst,[],[refute_0_4583:[bind(X_15,$fot(X_340)),bind(X_16,$fot(X1)),bind(X_5,$fot(X_342))]]) ).
cnf(refute_0_5407,plain,
( join(X1,join(X_340,converse(X_342))) != join(X_340,join(X1,converse(X_342)))
| join(join(X_340,converse(X_342)),X1) != join(X1,join(X_340,converse(X_342)))
| join(join(X_340,converse(X_342)),X1) = join(X_340,join(X1,converse(X_342))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_340,converse(X_342)),X1),join(X1,join(X_340,converse(X_342)))) ),[1],$fot(join(X_340,join(X1,converse(X_342))))]]) ).
cnf(refute_0_5408,plain,
( join(join(X_340,converse(X_342)),X1) != join(X1,join(X_340,converse(X_342)))
| join(join(X_340,converse(X_342)),X1) = join(X_340,join(X1,converse(X_342))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_340,converse(X_342))),join(X_340,join(X1,converse(X_342)))) )],[refute_0_5406,refute_0_5407]) ).
cnf(refute_0_5409,plain,
join(join(X_340,converse(X_342)),X1) = join(X_340,join(X1,converse(X_342))),
inference(resolve,[$cnf( $equal(join(join(X_340,converse(X_342)),X1),join(X1,join(X_340,converse(X_342)))) )],[refute_0_5405,refute_0_5408]) ).
cnf(refute_0_5410,plain,
join(join(X_340,converse(X_342)),X1) = join(X_340,join(converse(X_342),X1)),
inference(subst,[],[refute_0_211:[bind(X0,$fot(X_340)),bind(X1,$fot(converse(X_342))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_5411,plain,
( join(join(X_340,converse(X_342)),X1) != join(X_340,join(X1,converse(X_342)))
| join(join(X_340,converse(X_342)),X1) != join(X_340,join(converse(X_342),X1))
| join(X_340,join(converse(X_342),X1)) = join(X_340,join(X1,converse(X_342))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_340,converse(X_342)),X1),join(X_340,join(X1,converse(X_342)))) ),[0],$fot(join(X_340,join(converse(X_342),X1)))]]) ).
cnf(refute_0_5412,plain,
( join(join(X_340,converse(X_342)),X1) != join(X_340,join(X1,converse(X_342)))
| join(X_340,join(converse(X_342),X1)) = join(X_340,join(X1,converse(X_342))) ),
inference(resolve,[$cnf( $equal(join(join(X_340,converse(X_342)),X1),join(X_340,join(converse(X_342),X1))) )],[refute_0_5410,refute_0_5411]) ).
cnf(refute_0_5413,plain,
join(X_340,join(converse(X_342),X1)) = join(X_340,join(X1,converse(X_342))),
inference(resolve,[$cnf( $equal(join(join(X_340,converse(X_342)),X1),join(X_340,join(X1,converse(X_342)))) )],[refute_0_5409,refute_0_5412]) ).
cnf(refute_0_5414,plain,
( join(X_340,join(converse(X_342),X1)) != join(X_340,join(X1,converse(X_342)))
| join(X_340,join(X1,converse(X_342))) = join(X_340,join(converse(X_342),X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_340,join(converse(X_342),X1)))),bind(Y,$fot(join(X_340,join(X1,converse(X_342)))))]]) ).
cnf(refute_0_5415,plain,
join(X_340,join(X1,converse(X_342))) = join(X_340,join(converse(X_342),X1)),
inference(resolve,[$cnf( $equal(join(X_340,join(converse(X_342),X1)),join(X_340,join(X1,converse(X_342)))) )],[refute_0_5413,refute_0_5414]) ).
cnf(refute_0_5416,plain,
join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_5415:[bind(X1,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_340,$fot(complement(one))),bind(X_342,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5417,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5418,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5416,refute_0_5417]) ).
cnf(refute_0_5419,plain,
join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5404,refute_0_5418]) ).
cnf(refute_0_5420,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_5247:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_8,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5421,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5422,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5420,refute_0_5421]) ).
cnf(refute_0_5423,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5419,refute_0_5422]) ).
cnf(refute_0_5424,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5425,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5423,refute_0_5424]) ).
cnf(refute_0_5426,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5217,refute_0_5425]) ).
cnf(refute_0_5427,plain,
complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5428,plain,
( complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5429,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5427,refute_0_5428]) ).
cnf(refute_0_5430,plain,
complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5426,refute_0_5429]) ).
cnf(refute_0_5431,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5432,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5430,refute_0_5431]) ).
cnf(refute_0_5433,plain,
complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5204,refute_0_5432]) ).
cnf(refute_0_5434,plain,
meet(complement(X_466),complement(X_37)) = complement(join(X_466,complement(complement(X_37)))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(complement(X_37))),bind(X_464,$fot(X_466))]]) ).
cnf(refute_0_5435,plain,
( complement(complement(X_37)) != X_37
| meet(complement(X_466),complement(X_37)) != complement(join(X_466,complement(complement(X_37))))
| meet(complement(X_466),complement(X_37)) = complement(join(X_466,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_466),complement(X_37)),complement(join(X_466,complement(complement(X_37))))) ),[1,0,1],$fot(X_37)]]) ).
cnf(refute_0_5436,plain,
( meet(complement(X_466),complement(X_37)) != complement(join(X_466,complement(complement(X_37))))
| meet(complement(X_466),complement(X_37)) = complement(join(X_466,X_37)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_37)),X_37) )],[refute_0_1032,refute_0_5435]) ).
cnf(refute_0_5437,plain,
meet(complement(X_466),complement(X_37)) = complement(join(X_466,X_37)),
inference(resolve,[$cnf( $equal(meet(complement(X_466),complement(X_37)),complement(join(X_466,complement(complement(X_37))))) )],[refute_0_5434,refute_0_5436]) ).
cnf(refute_0_5438,plain,
meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_5437:[bind(X_37,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_466,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5439,plain,
( complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5440,plain,
( complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5438,refute_0_5439]) ).
cnf(refute_0_5441,plain,
meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5433,refute_0_5440]) ).
cnf(refute_0_5442,plain,
join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5443,plain,
( join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5444,plain,
( meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5442,refute_0_5443]) ).
cnf(refute_0_5445,plain,
join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5441,refute_0_5444]) ).
cnf(refute_0_5446,plain,
( join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5447,plain,
( join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5445,refute_0_5446]) ).
cnf(refute_0_5448,plain,
join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5196,refute_0_5447]) ).
cnf(refute_0_5449,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(converse(skolemFOFtoCNF_X0))
| complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5450,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5448,refute_0_5449]) ).
cnf(refute_0_5451,plain,
complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(one),meet(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5193,refute_0_5450]) ).
cnf(refute_0_5452,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5453,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(skolemFOFtoCNF_X0))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5454,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(skolemFOFtoCNF_X0))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5452,refute_0_5453]) ).
cnf(refute_0_5455,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5451,refute_0_5454]) ).
cnf(refute_0_5456,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))) != meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5457,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))) != meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5455,refute_0_5456]) ).
cnf(refute_0_5458,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5189,refute_0_5457]) ).
cnf(refute_0_5459,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(one)
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(one)) ),[0],$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5460,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(one)
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5458,refute_0_5459]) ).
cnf(refute_0_5461,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(one)) )],[refute_0_5164,refute_0_5460]) ).
cnf(refute_0_5462,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) != complement(one)
| meet(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_5463,plain,
( meet(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) )],[refute_0_5461,refute_0_5462]) ).
cnf(refute_0_5464,plain,
meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5188,refute_0_5463]) ).
cnf(refute_0_5465,plain,
converse(X_451) = meet(converse(X_451),converse(join(X_450,X_451))),
inference(subst,[],[refute_0_4972:[bind(X_157,$fot(X_450)),bind(X_158,$fot(X_451))]]) ).
cnf(refute_0_5466,plain,
join(X_451,X_450) = join(X_450,X_451),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_451)),bind(X1,$fot(X_450))]]) ).
cnf(refute_0_5467,plain,
( join(X_451,X_450) != join(X_450,X_451)
| join(X_450,X_451) = join(X_451,X_450) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_451,X_450))),bind(Y,$fot(join(X_450,X_451)))]]) ).
cnf(refute_0_5468,plain,
join(X_450,X_451) = join(X_451,X_450),
inference(resolve,[$cnf( $equal(join(X_451,X_450),join(X_450,X_451)) )],[refute_0_5466,refute_0_5467]) ).
cnf(refute_0_5469,plain,
( converse(X_451) != meet(converse(X_451),converse(join(X_450,X_451)))
| join(X_450,X_451) != join(X_451,X_450)
| converse(X_451) = meet(converse(X_451),converse(join(X_451,X_450))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_451),meet(converse(X_451),converse(join(X_450,X_451)))) ),[1,1,0],$fot(join(X_451,X_450))]]) ).
cnf(refute_0_5470,plain,
( converse(X_451) != meet(converse(X_451),converse(join(X_450,X_451)))
| converse(X_451) = meet(converse(X_451),converse(join(X_451,X_450))) ),
inference(resolve,[$cnf( $equal(join(X_450,X_451),join(X_451,X_450)) )],[refute_0_5468,refute_0_5469]) ).
cnf(refute_0_5471,plain,
converse(X_451) = meet(converse(X_451),converse(join(X_451,X_450))),
inference(resolve,[$cnf( $equal(converse(X_451),meet(converse(X_451),converse(join(X_450,X_451)))) )],[refute_0_5465,refute_0_5470]) ).
cnf(refute_0_5472,plain,
( converse(X_451) != meet(converse(X_451),converse(join(X_451,X_450)))
| meet(converse(X_451),converse(join(X_451,X_450))) = converse(X_451) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(X_451))),bind(Y,$fot(meet(converse(X_451),converse(join(X_451,X_450)))))]]) ).
cnf(refute_0_5473,plain,
meet(converse(X_451),converse(join(X_451,X_450))) = converse(X_451),
inference(resolve,[$cnf( $equal(converse(X_451),meet(converse(X_451),converse(join(X_451,X_450)))) )],[refute_0_5471,refute_0_5472]) ).
cnf(refute_0_5474,plain,
meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_5473:[bind(X_450,$fot(complement(one))),bind(X_451,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5475,plain,
complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_1032:[bind(X_37,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5476,plain,
meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5477,plain,
( complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5478,plain,
( complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5476,refute_0_5477]) ).
cnf(refute_0_5479,plain,
meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5475,refute_0_5478]) ).
cnf(refute_0_5480,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(skolemFOFtoCNF_X0)
| meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5481,plain,
( meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(skolemFOFtoCNF_X0)
| meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5479,refute_0_5480]) ).
cnf(refute_0_5482,plain,
meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0)) )],[refute_0_5474,refute_0_5481]) ).
cnf(refute_0_5483,plain,
complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5484,plain,
( complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(skolemFOFtoCNF_X0)
| complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5485,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(skolemFOFtoCNF_X0)
| complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5483,refute_0_5484]) ).
cnf(refute_0_5486,plain,
complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(skolemFOFtoCNF_X0)) )],[refute_0_5482,refute_0_5485]) ).
cnf(refute_0_5487,plain,
meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).
cnf(refute_0_5488,plain,
( complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5489,plain,
( complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5487,refute_0_5488]) ).
cnf(refute_0_5490,plain,
meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5486,refute_0_5489]) ).
cnf(refute_0_5491,plain,
meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).
cnf(refute_0_5492,plain,
meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) = meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one),
inference(subst,[],[refute_0_3982:[bind(X_462,$fot(one)),bind(X_463,$fot(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(X_464,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5493,plain,
( meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) != meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one)
| meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one))),bind(Y,$fot(meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one))),bind(Z,$fot(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).
cnf(refute_0_5494,plain,
( meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one),meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one)) )],[refute_0_5492,refute_0_5493]) ).
cnf(refute_0_5495,plain,
meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),one),meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5491,refute_0_5494]) ).
cnf(refute_0_5496,plain,
complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one),
inference(subst,[],[refute_0_2774:[bind(X_465,$fot(one)),bind(X_466,$fot(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5497,plain,
( complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one)
| meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one))),bind(Z,$fot(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).
cnf(refute_0_5498,plain,
( meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))),meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one)) )],[refute_0_5496,refute_0_5497]) ).
cnf(refute_0_5499,plain,
complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))),one),meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5495,refute_0_5498]) ).
cnf(refute_0_5500,plain,
meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3994:[bind(X_464,$fot(complement(one))),bind(X_465,$fot(converse(skolemFOFtoCNF_X0))),bind(X_466,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5501,plain,
( complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).
cnf(refute_0_5502,plain,
( complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0))))) )],[refute_0_5500,refute_0_5501]) ).
cnf(refute_0_5503,plain,
meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),meet(complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(skolemFOFtoCNF_X0)))),meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5499,refute_0_5502]) ).
cnf(refute_0_5504,plain,
( meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))))),bind(Z,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5505,plain,
( meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5503,refute_0_5504]) ).
cnf(refute_0_5506,plain,
meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(skolemFOFtoCNF_X0),complement(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5490,refute_0_5505]) ).
cnf(refute_0_5507,plain,
( meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5508,plain,
( meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5506,refute_0_5507]) ).
cnf(refute_0_5509,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5510,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5204,refute_0_5509]) ).
cnf(refute_0_5511,plain,
( meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5508,refute_0_5510]) ).
cnf(refute_0_5512,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5464,refute_0_5511]) ).
cnf(refute_0_5513,plain,
join(complement(meet(X_473,X_474)),meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473))) = complement(meet(X_473,X_474)),
inference(subst,[],[refute_0_1649:[bind(X0,$fot(complement(meet(X_473,X_474)))),bind(X1,$fot(join(complement(X_474),X_473)))]]) ).
cnf(refute_0_5514,plain,
meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473)) = complement(X_474),
inference(subst,[],[refute_0_3203:[bind(X_463,$fot(X_473)),bind(X_464,$fot(X_474))]]) ).
cnf(refute_0_5515,plain,
( join(complement(meet(X_473,X_474)),meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473))) != complement(meet(X_473,X_474))
| meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473)) != complement(X_474)
| join(complement(meet(X_473,X_474)),complement(X_474)) = complement(meet(X_473,X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(X_473,X_474)),meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473))),complement(meet(X_473,X_474))) ),[0,1],$fot(complement(X_474))]]) ).
cnf(refute_0_5516,plain,
( join(complement(meet(X_473,X_474)),meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473))) != complement(meet(X_473,X_474))
| join(complement(meet(X_473,X_474)),complement(X_474)) = complement(meet(X_473,X_474)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473)),complement(X_474)) )],[refute_0_5514,refute_0_5515]) ).
cnf(refute_0_5517,plain,
join(complement(meet(X_473,X_474)),complement(X_474)) = complement(meet(X_473,X_474)),
inference(resolve,[$cnf( $equal(join(complement(meet(X_473,X_474)),meet(complement(meet(X_473,X_474)),join(complement(X_474),X_473))),complement(meet(X_473,X_474))) )],[refute_0_5513,refute_0_5516]) ).
cnf(refute_0_5518,plain,
join(complement(X_474),complement(meet(X_473,X_474))) = complement(meet(X_474,meet(X_473,X_474))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(X_474)),bind(X1,$fot(meet(X_473,X_474)))]]) ).
cnf(refute_0_5519,plain,
join(complement(meet(X_473,X_474)),complement(X_474)) = join(complement(X_474),complement(meet(X_473,X_474))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(complement(X_474))),bind(X_56,$fot(complement(meet(X_473,X_474))))]]) ).
cnf(refute_0_5520,plain,
( join(complement(X_474),complement(meet(X_473,X_474))) != complement(meet(X_474,meet(X_473,X_474)))
| join(complement(meet(X_473,X_474)),complement(X_474)) != join(complement(X_474),complement(meet(X_473,X_474)))
| join(complement(meet(X_473,X_474)),complement(X_474)) = complement(meet(X_474,meet(X_473,X_474))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(meet(X_473,X_474)),complement(X_474)))),bind(Y,$fot(join(complement(X_474),complement(meet(X_473,X_474))))),bind(Z,$fot(complement(meet(X_474,meet(X_473,X_474)))))]]) ).
cnf(refute_0_5521,plain,
( join(complement(X_474),complement(meet(X_473,X_474))) != complement(meet(X_474,meet(X_473,X_474)))
| join(complement(meet(X_473,X_474)),complement(X_474)) = complement(meet(X_474,meet(X_473,X_474))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_473,X_474)),complement(X_474)),join(complement(X_474),complement(meet(X_473,X_474)))) )],[refute_0_5519,refute_0_5520]) ).
cnf(refute_0_5522,plain,
join(complement(meet(X_473,X_474)),complement(X_474)) = complement(meet(X_474,meet(X_473,X_474))),
inference(resolve,[$cnf( $equal(join(complement(X_474),complement(meet(X_473,X_474))),complement(meet(X_474,meet(X_473,X_474)))) )],[refute_0_5518,refute_0_5521]) ).
cnf(refute_0_5523,plain,
( join(complement(meet(X_473,X_474)),complement(X_474)) != complement(meet(X_473,X_474))
| join(complement(meet(X_473,X_474)),complement(X_474)) != complement(meet(X_474,meet(X_473,X_474)))
| complement(meet(X_474,meet(X_473,X_474))) = complement(meet(X_473,X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(X_473,X_474)),complement(X_474)),complement(meet(X_473,X_474))) ),[0],$fot(complement(meet(X_474,meet(X_473,X_474))))]]) ).
cnf(refute_0_5524,plain,
( join(complement(meet(X_473,X_474)),complement(X_474)) != complement(meet(X_473,X_474))
| complement(meet(X_474,meet(X_473,X_474))) = complement(meet(X_473,X_474)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_473,X_474)),complement(X_474)),complement(meet(X_474,meet(X_473,X_474)))) )],[refute_0_5522,refute_0_5523]) ).
cnf(refute_0_5525,plain,
complement(meet(X_474,meet(X_473,X_474))) = complement(meet(X_473,X_474)),
inference(resolve,[$cnf( $equal(join(complement(meet(X_473,X_474)),complement(X_474)),complement(meet(X_473,X_474))) )],[refute_0_5517,refute_0_5524]) ).
cnf(refute_0_5526,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_5525:[bind(X_473,$fot(one)),bind(X_474,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5527,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(skolemFOFtoCNF_X0))
| complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5528,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(skolemFOFtoCNF_X0))
| complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5526,refute_0_5527]) ).
cnf(refute_0_5529,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5451,refute_0_5528]) ).
cnf(refute_0_5530,plain,
meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_5531,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5532,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_5530,refute_0_5531]) ).
cnf(refute_0_5533,plain,
meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5529,refute_0_5532]) ).
cnf(refute_0_5534,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))),bind(Y,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5535,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5533,refute_0_5534]) ).
cnf(refute_0_5536,plain,
meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5512,refute_0_5535]) ).
cnf(refute_0_5537,plain,
complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).
cnf(refute_0_5538,plain,
( complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5539,plain,
( meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5537,refute_0_5538]) ).
cnf(refute_0_5540,plain,
complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5536,refute_0_5539]) ).
cnf(refute_0_5541,plain,
( complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) != complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1],$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5542,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5540,refute_0_5541]) ).
cnf(refute_0_5543,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_5187,refute_0_5542]) ).
cnf(refute_0_5544,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5545,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5543,refute_0_5544]) ).
cnf(refute_0_5546,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5547,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5548,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5546,refute_0_5547]) ).
cnf(refute_0_5549,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5545,refute_0_5548]) ).
cnf(refute_0_5550,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5551,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5552,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5550,refute_0_5551]) ).
cnf(refute_0_5553,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5512,refute_0_5552]) ).
cnf(refute_0_5554,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5555,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5553,refute_0_5554]) ).
cnf(refute_0_5556,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5549,refute_0_5555]) ).
cnf(refute_0_5557,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5558,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5556,refute_0_5557]) ).
cnf(refute_0_5559,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4941,refute_0_5558]) ).
cnf(refute_0_5560,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != zero
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),zero) ),[0],$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5561,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != zero
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5559,refute_0_5560]) ).
cnf(refute_0_5562,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_4940,refute_0_5561]) ).
cnf(refute_0_5563,plain,
( meet(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != zero
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_5564,plain,
( meet(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_5562,refute_0_5563]) ).
cnf(refute_0_5565,plain,
meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4746,refute_0_5564]) ).
cnf(refute_0_5566,plain,
meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1963:[bind(X_50,$fot(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5567,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1513:[bind(X_37,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_38,$fot(one))]]) ).
cnf(refute_0_5568,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1722:[bind(X2,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5569,plain,
top = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5570,plain,
( top != join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5571,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5569,refute_0_5570]) ).
cnf(refute_0_5572,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != top
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,top) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_5573,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,top) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5571,refute_0_5572]) ).
cnf(refute_0_5574,plain,
join(skolemFOFtoCNF_X0,top) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5568,refute_0_5573]) ).
cnf(refute_0_5575,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,top) != top
| top = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5576,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| top = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_1741,refute_0_5575]) ).
cnf(refute_0_5577,plain,
top = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5574,refute_0_5576]) ).
cnf(refute_0_5578,plain,
( top != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5579,plain,
join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5577,refute_0_5578]) ).
cnf(refute_0_5580,plain,
( join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != top
| meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_5581,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5579,refute_0_5580]) ).
cnf(refute_0_5582,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5567,refute_0_5581]) ).
cnf(refute_0_5583,plain,
join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5584,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),one) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5585,plain,
join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_5586,plain,
( join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),one) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one))) ),[1,1],$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5587,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),one) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one))) )],[refute_0_5585,refute_0_5586]) ).
cnf(refute_0_5588,plain,
join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5584,refute_0_5587]) ).
cnf(refute_0_5589,plain,
join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_5590,plain,
( complement(top) != zero
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one))
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5591,plain,
( complement(top) != zero
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one))) )],[refute_0_5589,refute_0_5590]) ).
cnf(refute_0_5592,plain,
join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_5591]) ).
cnf(refute_0_5593,plain,
( join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one))
| join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)))),bind(Y,$fot(join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5594,plain,
( join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one))) )],[refute_0_5592,refute_0_5593]) ).
cnf(refute_0_5595,plain,
join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5588,refute_0_5594]) ).
cnf(refute_0_5596,plain,
( join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)))),bind(Y,$fot(join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5597,plain,
( join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5595,refute_0_5596]) ).
cnf(refute_0_5598,plain,
join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5583,refute_0_5597]) ).
cnf(refute_0_5599,plain,
join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) = join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),one))),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_5600,plain,
( join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) != join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one))
| join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5601,plain,
( join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)),join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one))) )],[refute_0_5599,refute_0_5600]) ).
cnf(refute_0_5602,plain,
join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5598,refute_0_5601]) ).
cnf(refute_0_5603,plain,
( join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top))) ),[1],$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5604,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top)),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5602,refute_0_5603]) ).
cnf(refute_0_5605,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),complement(top))) )],[refute_0_5582,refute_0_5604]) ).
cnf(refute_0_5606,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5607,plain,
meet(one,meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5605,refute_0_5606]) ).
cnf(refute_0_5608,plain,
complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5609,plain,
( complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5610,plain,
( meet(one,meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5608,refute_0_5609]) ).
cnf(refute_0_5611,plain,
complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5607,refute_0_5610]) ).
cnf(refute_0_5612,plain,
join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_348:[bind(X0,$fot(one)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5613,plain,
( complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5614,plain,
( complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5612,refute_0_5613]) ).
cnf(refute_0_5615,plain,
join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5611,refute_0_5614]) ).
cnf(refute_0_5616,plain,
join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5617,plain,
( join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5618,plain,
( join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5616,refute_0_5617]) ).
cnf(refute_0_5619,plain,
join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5615,refute_0_5618]) ).
cnf(refute_0_5620,plain,
join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one))),bind(X2,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5621,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5622,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5620,refute_0_5621]) ).
cnf(refute_0_5623,plain,
join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5619,refute_0_5622]) ).
cnf(refute_0_5624,plain,
converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5625,plain,
( converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5626,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5624,refute_0_5625]) ).
cnf(refute_0_5627,plain,
converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5623,refute_0_5626]) ).
cnf(refute_0_5628,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2683:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_422,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5629,plain,
join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))),
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(converse(join(X0,complement(join(complement(converse(X_459)),X0)))))),bind(X_38,$fot(X_459))]]) ).
cnf(refute_0_5630,plain,
X_459 = meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),
inference(subst,[],[refute_0_2089:[bind(X_37,$fot(X_459))]]) ).
cnf(refute_0_5631,plain,
( X_459 != meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))
| meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = X_459 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_459)),bind(Y,$fot(meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))))]]) ).
cnf(refute_0_5632,plain,
meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = X_459,
inference(resolve,[$cnf( $equal(X_459,meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) )],[refute_0_5630,refute_0_5631]) ).
cnf(refute_0_5633,plain,
( join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) != X_459
| join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) ),[0,1],$fot(X_459)]]) ).
cnf(refute_0_5634,plain,
( join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))) ),
inference(resolve,[$cnf( $equal(meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),X_459) )],[refute_0_5632,refute_0_5633]) ).
cnf(refute_0_5635,plain,
join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))),
inference(resolve,[$cnf( $equal(join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),meet(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) )],[refute_0_5629,refute_0_5634]) ).
cnf(refute_0_5636,plain,
join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) = join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(X_459)),bind(X_56,$fot(converse(join(X0,complement(join(complement(converse(X_459)),X0))))))]]) ).
cnf(refute_0_5637,plain,
( join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) != join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))
| join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) ),[0],$fot(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))))]]) ).
cnf(refute_0_5638,plain,
( join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459),join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) )],[refute_0_5636,refute_0_5637]) ).
cnf(refute_0_5639,plain,
join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))),
inference(resolve,[$cnf( $equal(join(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),X_459),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) )],[refute_0_5635,refute_0_5638]) ).
cnf(refute_0_5640,plain,
complement(join(complement(converse(X_459)),X0)) = meet(complement(X0),converse(X_459)),
inference(subst,[],[refute_0_2774:[bind(X_465,$fot(converse(X_459))),bind(X_466,$fot(X0))]]) ).
cnf(refute_0_5641,plain,
join(X0,complement(join(complement(converse(X_459)),X0))) = join(X0,complement(join(complement(converse(X_459)),X0))),
introduced(tautology,[refl,[$fot(join(X0,complement(join(complement(converse(X_459)),X0))))]]) ).
cnf(refute_0_5642,plain,
( complement(join(complement(converse(X_459)),X0)) != meet(complement(X0),converse(X_459))
| join(X0,complement(join(complement(converse(X_459)),X0))) != join(X0,complement(join(complement(converse(X_459)),X0)))
| join(X0,complement(join(complement(converse(X_459)),X0))) = join(X0,meet(complement(X0),converse(X_459))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,complement(join(complement(converse(X_459)),X0))),join(X0,complement(join(complement(converse(X_459)),X0)))) ),[1,1],$fot(meet(complement(X0),converse(X_459)))]]) ).
cnf(refute_0_5643,plain,
( complement(join(complement(converse(X_459)),X0)) != meet(complement(X0),converse(X_459))
| join(X0,complement(join(complement(converse(X_459)),X0))) = join(X0,meet(complement(X0),converse(X_459))) ),
inference(resolve,[$cnf( $equal(join(X0,complement(join(complement(converse(X_459)),X0))),join(X0,complement(join(complement(converse(X_459)),X0)))) )],[refute_0_5641,refute_0_5642]) ).
cnf(refute_0_5644,plain,
join(X0,complement(join(complement(converse(X_459)),X0))) = join(X0,meet(complement(X0),converse(X_459))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(X_459)),X0)),meet(complement(X0),converse(X_459))) )],[refute_0_5640,refute_0_5643]) ).
cnf(refute_0_5645,plain,
converse(join(X0,complement(join(complement(converse(X_459)),X0)))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))),
introduced(tautology,[refl,[$fot(converse(join(X0,complement(join(complement(converse(X_459)),X0)))))]]) ).
cnf(refute_0_5646,plain,
( converse(join(X0,complement(join(complement(converse(X_459)),X0)))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X0,complement(join(complement(converse(X_459)),X0))) != join(X0,meet(complement(X0),converse(X_459)))
| converse(join(X0,complement(join(complement(converse(X_459)),X0)))) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) ),[1,0],$fot(join(X0,meet(complement(X0),converse(X_459))))]]) ).
cnf(refute_0_5647,plain,
( join(X0,complement(join(complement(converse(X_459)),X0))) != join(X0,meet(complement(X0),converse(X_459)))
| converse(join(X0,complement(join(complement(converse(X_459)),X0)))) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) )],[refute_0_5645,refute_0_5646]) ).
cnf(refute_0_5648,plain,
converse(join(X0,complement(join(complement(converse(X_459)),X0)))) = converse(join(X0,meet(complement(X0),converse(X_459)))),
inference(resolve,[$cnf( $equal(join(X0,complement(join(complement(converse(X_459)),X0))),join(X0,meet(complement(X0),converse(X_459)))) )],[refute_0_5644,refute_0_5647]) ).
cnf(refute_0_5649,plain,
join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),
introduced(tautology,[refl,[$fot(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))))]]) ).
cnf(refute_0_5650,plain,
( converse(join(X0,complement(join(complement(converse(X_459)),X0)))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) != join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))
| join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) ),[1,1],$fot(converse(join(X0,meet(complement(X0),converse(X_459)))))]]) ).
cnf(refute_0_5651,plain,
( converse(join(X0,complement(join(complement(converse(X_459)),X0)))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0)))))) )],[refute_0_5649,refute_0_5650]) ).
cnf(refute_0_5652,plain,
join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) = join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),converse(join(X0,meet(complement(X0),converse(X_459))))) )],[refute_0_5648,refute_0_5651]) ).
cnf(refute_0_5653,plain,
( join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) != join(X_459,converse(join(X0,meet(complement(X0),converse(X_459)))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) ),[0],$fot(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))))]]) ).
cnf(refute_0_5654,plain,
( join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = converse(join(X0,complement(join(complement(converse(X_459)),X0)))) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),join(X_459,converse(join(X0,meet(complement(X0),converse(X_459)))))) )],[refute_0_5652,refute_0_5653]) ).
cnf(refute_0_5655,plain,
( converse(join(X0,complement(join(complement(converse(X_459)),X0)))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) ),[1],$fot(converse(join(X0,meet(complement(X0),converse(X_459)))))]]) ).
cnf(refute_0_5656,plain,
( join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(join(complement(converse(X_459)),X0)))),converse(join(X0,meet(complement(X0),converse(X_459))))) )],[refute_0_5648,refute_0_5655]) ).
cnf(refute_0_5657,plain,
( join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))) != converse(join(X0,complement(join(complement(converse(X_459)),X0))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) )],[refute_0_5654,refute_0_5656]) ).
cnf(refute_0_5658,plain,
join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = converse(join(X0,meet(complement(X0),converse(X_459)))),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,complement(join(complement(converse(X_459)),X0))))),converse(join(X0,complement(join(complement(converse(X_459)),X0))))) )],[refute_0_5639,refute_0_5657]) ).
cnf(refute_0_5659,plain,
join(X_459,join(converse(X0),X_459)) = join(X_459,converse(X0)),
inference(subst,[],[refute_0_2657:[bind(X1,$fot(X_459)),bind(X_134,$fot(converse(X0)))]]) ).
cnf(refute_0_5660,plain,
converse(join(X0,converse(X_459))) = join(converse(X0),X_459),
inference(subst,[],[refute_0_550:[bind(X0,$fot(X_459)),bind(X_4,$fot(X0))]]) ).
cnf(refute_0_5661,plain,
join(join(X_246,complement(join(complement(X_459),X_246))),meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))) = join(X_246,complement(join(complement(X_459),X_246))),
inference(subst,[],[refute_0_3195:[bind(X_37,$fot(join(X_246,complement(join(complement(X_459),X_246))))),bind(X_38,$fot(X_459))]]) ).
cnf(refute_0_5662,plain,
X_37 = join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246)))))),
inference(subst,[],[refute_0_81:[bind(X_38,$fot(join(X_246,complement(join(complement(X_37),X_246)))))]]) ).
cnf(refute_0_5663,plain,
converse(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),
inference(subst,[],[refute_0_537:[bind(X_5,$fot(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))]]) ).
cnf(refute_0_5664,plain,
converse(top) = join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26))))),
inference(subst,[],[refute_0_567:[bind(X0,$fot(X_26)),bind(X_4,$fot(converse(X0)))]]) ).
cnf(refute_0_5665,plain,
( converse(top) != join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))
| join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))))]]) ).
cnf(refute_0_5666,plain,
join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) )],[refute_0_5664,refute_0_5665]) ).
cnf(refute_0_5667,plain,
( converse(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) != converse(top)
| converse(converse(top)) = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_5668,plain,
( converse(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| converse(converse(top)) = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26))))),converse(top)) )],[refute_0_5666,refute_0_5667]) ).
cnf(refute_0_5669,plain,
converse(converse(top)) = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) )],[refute_0_5663,refute_0_5668]) ).
cnf(refute_0_5670,plain,
( converse(converse(top)) != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| converse(converse(top)) != top
| top = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5671,plain,
( converse(converse(top)) != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| top = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_618,refute_0_5670]) ).
cnf(refute_0_5672,plain,
join(converse(converse(X0)),X_26) = join(converse(converse(X0)),X_26),
introduced(tautology,[refl,[$fot(join(converse(converse(X0)),X_26))]]) ).
cnf(refute_0_5673,plain,
( converse(converse(X0)) != X0
| join(converse(converse(X0)),X_26) != join(converse(converse(X0)),X_26)
| join(converse(converse(X0)),X_26) = join(X0,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X0)),X_26),join(converse(converse(X0)),X_26)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_5674,plain,
( converse(converse(X0)) != X0
| join(converse(converse(X0)),X_26) = join(X0,X_26) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X0)),X_26),join(converse(converse(X0)),X_26)) )],[refute_0_5672,refute_0_5673]) ).
cnf(refute_0_5675,plain,
join(converse(converse(X0)),X_26) = join(X0,X_26),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_54,refute_0_5674]) ).
cnf(refute_0_5676,plain,
complement(join(converse(converse(X0)),X_26)) = complement(join(converse(converse(X0)),X_26)),
introduced(tautology,[refl,[$fot(complement(join(converse(converse(X0)),X_26)))]]) ).
cnf(refute_0_5677,plain,
( complement(join(converse(converse(X0)),X_26)) != complement(join(converse(converse(X0)),X_26))
| join(converse(converse(X0)),X_26) != join(X0,X_26)
| complement(join(converse(converse(X0)),X_26)) = complement(join(X0,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(converse(X0)),X_26)),complement(join(converse(converse(X0)),X_26))) ),[1,0],$fot(join(X0,X_26))]]) ).
cnf(refute_0_5678,plain,
( join(converse(converse(X0)),X_26) != join(X0,X_26)
| complement(join(converse(converse(X0)),X_26)) = complement(join(X0,X_26)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(converse(X0)),X_26)),complement(join(converse(converse(X0)),X_26))) )],[refute_0_5676,refute_0_5677]) ).
cnf(refute_0_5679,plain,
complement(join(converse(converse(X0)),X_26)) = complement(join(X0,X_26)),
inference(resolve,[$cnf( $equal(join(converse(converse(X0)),X_26),join(X0,X_26)) )],[refute_0_5675,refute_0_5678]) ).
cnf(refute_0_5680,plain,
join(X_26,complement(join(converse(converse(X0)),X_26))) = join(X_26,complement(join(converse(converse(X0)),X_26))),
introduced(tautology,[refl,[$fot(join(X_26,complement(join(converse(converse(X0)),X_26))))]]) ).
cnf(refute_0_5681,plain,
( complement(join(converse(converse(X0)),X_26)) != complement(join(X0,X_26))
| join(X_26,complement(join(converse(converse(X0)),X_26))) != join(X_26,complement(join(converse(converse(X0)),X_26)))
| join(X_26,complement(join(converse(converse(X0)),X_26))) = join(X_26,complement(join(X0,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,complement(join(converse(converse(X0)),X_26))),join(X_26,complement(join(converse(converse(X0)),X_26)))) ),[1,1],$fot(complement(join(X0,X_26)))]]) ).
cnf(refute_0_5682,plain,
( complement(join(converse(converse(X0)),X_26)) != complement(join(X0,X_26))
| join(X_26,complement(join(converse(converse(X0)),X_26))) = join(X_26,complement(join(X0,X_26))) ),
inference(resolve,[$cnf( $equal(join(X_26,complement(join(converse(converse(X0)),X_26))),join(X_26,complement(join(converse(converse(X0)),X_26)))) )],[refute_0_5680,refute_0_5681]) ).
cnf(refute_0_5683,plain,
join(X_26,complement(join(converse(converse(X0)),X_26))) = join(X_26,complement(join(X0,X_26))),
inference(resolve,[$cnf( $equal(complement(join(converse(converse(X0)),X_26)),complement(join(X0,X_26))) )],[refute_0_5679,refute_0_5682]) ).
cnf(refute_0_5684,plain,
converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) = join(X_26,complement(join(converse(converse(X0)),X_26))),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(X_26,complement(join(converse(converse(X0)),X_26)))))]]) ).
cnf(refute_0_5685,plain,
( converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) != join(X_26,complement(join(converse(converse(X0)),X_26)))
| join(X_26,complement(join(converse(converse(X0)),X_26))) != join(X_26,complement(join(X0,X_26)))
| converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) = join(X_26,complement(join(X0,X_26))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))),bind(Y,$fot(join(X_26,complement(join(converse(converse(X0)),X_26))))),bind(Z,$fot(join(X_26,complement(join(X0,X_26)))))]]) ).
cnf(refute_0_5686,plain,
( join(X_26,complement(join(converse(converse(X0)),X_26))) != join(X_26,complement(join(X0,X_26)))
| converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) = join(X_26,complement(join(X0,X_26))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))),join(X_26,complement(join(converse(converse(X0)),X_26)))) )],[refute_0_5684,refute_0_5685]) ).
cnf(refute_0_5687,plain,
converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) = join(X_26,complement(join(X0,X_26))),
inference(resolve,[$cnf( $equal(join(X_26,complement(join(converse(converse(X0)),X_26))),join(X_26,complement(join(X0,X_26)))) )],[refute_0_5683,refute_0_5686]) ).
cnf(refute_0_5688,plain,
join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) = join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))))]]) ).
cnf(refute_0_5689,plain,
( converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) != join(X_26,complement(join(X0,X_26)))
| join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) = join(X0,join(X_26,complement(join(X0,X_26)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) ),[1,1],$fot(join(X_26,complement(join(X0,X_26))))]]) ).
cnf(refute_0_5690,plain,
( converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))) != join(X_26,complement(join(X0,X_26)))
| join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) = join(X0,join(X_26,complement(join(X0,X_26)))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) )],[refute_0_5688,refute_0_5689]) ).
cnf(refute_0_5691,plain,
join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) = join(X0,join(X_26,complement(join(X0,X_26)))),
inference(resolve,[$cnf( $equal(converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))),join(X_26,complement(join(X0,X_26)))) )],[refute_0_5687,refute_0_5690]) ).
cnf(refute_0_5692,plain,
( join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))) != join(X0,join(X_26,complement(join(X0,X_26))))
| top != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| top = join(X0,join(X_26,complement(join(X0,X_26)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) ),[1],$fot(join(X0,join(X_26,complement(join(X0,X_26)))))]]) ).
cnf(refute_0_5693,plain,
( top != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| top = join(X0,join(X_26,complement(join(X0,X_26)))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26)))))),join(X0,join(X_26,complement(join(X0,X_26))))) )],[refute_0_5691,refute_0_5692]) ).
cnf(refute_0_5694,plain,
( converse(converse(top)) != join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))
| top = join(X0,join(X_26,complement(join(X0,X_26)))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) )],[refute_0_5671,refute_0_5693]) ).
cnf(refute_0_5695,plain,
top = join(X0,join(X_26,complement(join(X0,X_26)))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(X_26,complement(join(converse(converse(X0)),X_26))))))) )],[refute_0_5669,refute_0_5694]) ).
cnf(refute_0_5696,plain,
top = join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246)))),
inference(subst,[],[refute_0_5695:[bind(X0,$fot(complement(X_37))),bind(X_26,$fot(X_246))]]) ).
cnf(refute_0_5697,plain,
( top != join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))
| join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))))]]) ).
cnf(refute_0_5698,plain,
join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))) )],[refute_0_5696,refute_0_5697]) ).
cnf(refute_0_5699,plain,
( X_37 != join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))))
| join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246)))) != top
| X_37 = join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_37,join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_5700,plain,
( X_37 != join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))))
| X_37 = join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246)))),top) )],[refute_0_5698,refute_0_5699]) ).
cnf(refute_0_5701,plain,
X_37 = join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)),
inference(resolve,[$cnf( $equal(X_37,join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(join(complement(X_37),join(X_246,complement(join(complement(X_37),X_246))))))) )],[refute_0_5662,refute_0_5700]) ).
cnf(refute_0_5702,plain,
join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))))]]) ).
cnf(refute_0_5703,plain,
meet(join(X_246,complement(join(complement(X_37),X_246))),X_37) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(X_37)),bind(X_30,$fot(join(X_246,complement(join(complement(X_37),X_246)))))]]) ).
cnf(refute_0_5704,plain,
join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)))]]) ).
cnf(refute_0_5705,plain,
( join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))
| meet(join(X_246,complement(join(complement(X_37),X_246))),X_37) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))) ),[1,1],$fot(meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))]]) ).
cnf(refute_0_5706,plain,
( meet(join(X_246,complement(join(complement(X_37),X_246))),X_37) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))) )],[refute_0_5704,refute_0_5705]) ).
cnf(refute_0_5707,plain,
join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))),
inference(resolve,[$cnf( $equal(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) )],[refute_0_5703,refute_0_5706]) ).
cnf(refute_0_5708,plain,
join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)))]]) ).
cnf(refute_0_5709,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5710,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))) )],[refute_0_5708,refute_0_5709]) ).
cnf(refute_0_5711,plain,
join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_123,refute_0_5710]) ).
cnf(refute_0_5712,plain,
( join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))
| join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)))),bind(Y,$fot(join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)))),bind(Z,$fot(join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))))]]) ).
cnf(refute_0_5713,plain,
( join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))) )],[refute_0_5711,refute_0_5712]) ).
cnf(refute_0_5714,plain,
join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))) )],[refute_0_5707,refute_0_5713]) ).
cnf(refute_0_5715,plain,
( join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))
| join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)))),bind(Y,$fot(join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))))),bind(Z,$fot(meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))))]]) ).
cnf(refute_0_5716,plain,
( join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))))) )],[refute_0_5714,refute_0_5715]) ).
cnf(refute_0_5717,plain,
join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))),meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) )],[refute_0_5702,refute_0_5716]) ).
cnf(refute_0_5718,plain,
join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) = join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_5719,plain,
( join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) != join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))
| join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)))),bind(Z,$fot(meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))))]]) ).
cnf(refute_0_5720,plain,
( join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)),join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37))) )],[refute_0_5718,refute_0_5719]) ).
cnf(refute_0_5721,plain,
join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_246,complement(join(complement(X_37),X_246))),X_37)),meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) )],[refute_0_5717,refute_0_5720]) ).
cnf(refute_0_5722,plain,
( X_37 != join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top))
| join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)) != meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))
| X_37 = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_37,meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) ),[0],$fot(join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)))]]) ).
cnf(refute_0_5723,plain,
( X_37 != join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top))
| X_37 = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top)),meet(X_37,join(X_246,complement(join(complement(X_37),X_246))))) )],[refute_0_5721,refute_0_5722]) ).
cnf(refute_0_5724,plain,
X_37 = meet(X_37,join(X_246,complement(join(complement(X_37),X_246)))),
inference(resolve,[$cnf( $equal(X_37,join(meet(join(X_246,complement(join(complement(X_37),X_246))),X_37),complement(top))) )],[refute_0_5701,refute_0_5723]) ).
cnf(refute_0_5725,plain,
X_459 = meet(X_459,join(X_246,complement(join(complement(X_459),X_246)))),
inference(subst,[],[refute_0_5724:[bind(X_37,$fot(X_459))]]) ).
cnf(refute_0_5726,plain,
( X_459 != meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))
| meet(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = X_459 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_459)),bind(Y,$fot(meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))))]]) ).
cnf(refute_0_5727,plain,
meet(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = X_459,
inference(resolve,[$cnf( $equal(X_459,meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))) )],[refute_0_5725,refute_0_5726]) ).
cnf(refute_0_5728,plain,
( join(join(X_246,complement(join(complement(X_459),X_246))),meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))) != join(X_246,complement(join(complement(X_459),X_246)))
| meet(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != X_459
| join(join(X_246,complement(join(complement(X_459),X_246))),X_459) = join(X_246,complement(join(complement(X_459),X_246))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_246,complement(join(complement(X_459),X_246))),meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))),join(X_246,complement(join(complement(X_459),X_246)))) ),[0,1],$fot(X_459)]]) ).
cnf(refute_0_5729,plain,
( join(join(X_246,complement(join(complement(X_459),X_246))),meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))) != join(X_246,complement(join(complement(X_459),X_246)))
| join(join(X_246,complement(join(complement(X_459),X_246))),X_459) = join(X_246,complement(join(complement(X_459),X_246))) ),
inference(resolve,[$cnf( $equal(meet(X_459,join(X_246,complement(join(complement(X_459),X_246)))),X_459) )],[refute_0_5727,refute_0_5728]) ).
cnf(refute_0_5730,plain,
join(join(X_246,complement(join(complement(X_459),X_246))),X_459) = join(X_246,complement(join(complement(X_459),X_246))),
inference(resolve,[$cnf( $equal(join(join(X_246,complement(join(complement(X_459),X_246))),meet(X_459,join(X_246,complement(join(complement(X_459),X_246))))),join(X_246,complement(join(complement(X_459),X_246)))) )],[refute_0_5661,refute_0_5729]) ).
cnf(refute_0_5731,plain,
join(join(X_246,complement(join(complement(X_459),X_246))),X_459) = join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(X_459)),bind(X_56,$fot(join(X_246,complement(join(complement(X_459),X_246)))))]]) ).
cnf(refute_0_5732,plain,
( join(join(X_246,complement(join(complement(X_459),X_246))),X_459) != join(X_246,complement(join(complement(X_459),X_246)))
| join(join(X_246,complement(join(complement(X_459),X_246))),X_459) != join(X_459,join(X_246,complement(join(complement(X_459),X_246))))
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_246,complement(join(complement(X_459),X_246))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_246,complement(join(complement(X_459),X_246))),X_459),join(X_246,complement(join(complement(X_459),X_246)))) ),[0],$fot(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))))]]) ).
cnf(refute_0_5733,plain,
( join(join(X_246,complement(join(complement(X_459),X_246))),X_459) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_246,complement(join(complement(X_459),X_246))) ),
inference(resolve,[$cnf( $equal(join(join(X_246,complement(join(complement(X_459),X_246))),X_459),join(X_459,join(X_246,complement(join(complement(X_459),X_246))))) )],[refute_0_5731,refute_0_5732]) ).
cnf(refute_0_5734,plain,
join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_246,complement(join(complement(X_459),X_246))),
inference(resolve,[$cnf( $equal(join(join(X_246,complement(join(complement(X_459),X_246))),X_459),join(X_246,complement(join(complement(X_459),X_246)))) )],[refute_0_5730,refute_0_5733]) ).
cnf(refute_0_5735,plain,
join(X_459,join(X_246,meet(complement(X_246),X_459))) = join(X_246,X_459),
inference(subst,[],[refute_0_4231:[bind(X_459,$fot(complement(X_246))),bind(X_56,$fot(X_246)),bind(X_57,$fot(X_459))]]) ).
cnf(refute_0_5736,plain,
complement(join(complement(X_459),X_246)) = meet(complement(X_246),X_459),
inference(subst,[],[refute_0_2774:[bind(X_465,$fot(X_459)),bind(X_466,$fot(X_246))]]) ).
cnf(refute_0_5737,plain,
join(X_246,complement(join(complement(X_459),X_246))) = join(X_246,complement(join(complement(X_459),X_246))),
introduced(tautology,[refl,[$fot(join(X_246,complement(join(complement(X_459),X_246))))]]) ).
cnf(refute_0_5738,plain,
( complement(join(complement(X_459),X_246)) != meet(complement(X_246),X_459)
| join(X_246,complement(join(complement(X_459),X_246))) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_246,complement(join(complement(X_459),X_246))) = join(X_246,meet(complement(X_246),X_459)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_246,complement(join(complement(X_459),X_246))),join(X_246,complement(join(complement(X_459),X_246)))) ),[1,1],$fot(meet(complement(X_246),X_459))]]) ).
cnf(refute_0_5739,plain,
( complement(join(complement(X_459),X_246)) != meet(complement(X_246),X_459)
| join(X_246,complement(join(complement(X_459),X_246))) = join(X_246,meet(complement(X_246),X_459)) ),
inference(resolve,[$cnf( $equal(join(X_246,complement(join(complement(X_459),X_246))),join(X_246,complement(join(complement(X_459),X_246)))) )],[refute_0_5737,refute_0_5738]) ).
cnf(refute_0_5740,plain,
join(X_246,complement(join(complement(X_459),X_246))) = join(X_246,meet(complement(X_246),X_459)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_459),X_246)),meet(complement(X_246),X_459)) )],[refute_0_5736,refute_0_5739]) ).
cnf(refute_0_5741,plain,
join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),
introduced(tautology,[refl,[$fot(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))))]]) ).
cnf(refute_0_5742,plain,
( join(X_246,complement(join(complement(X_459),X_246))) != join(X_246,meet(complement(X_246),X_459))
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != join(X_459,join(X_246,complement(join(complement(X_459),X_246))))
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_459,join(X_246,meet(complement(X_246),X_459))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),join(X_459,join(X_246,complement(join(complement(X_459),X_246))))) ),[1,1],$fot(join(X_246,meet(complement(X_246),X_459)))]]) ).
cnf(refute_0_5743,plain,
( join(X_246,complement(join(complement(X_459),X_246))) != join(X_246,meet(complement(X_246),X_459))
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_459,join(X_246,meet(complement(X_246),X_459))) ),
inference(resolve,[$cnf( $equal(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),join(X_459,join(X_246,complement(join(complement(X_459),X_246))))) )],[refute_0_5741,refute_0_5742]) ).
cnf(refute_0_5744,plain,
join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_459,join(X_246,meet(complement(X_246),X_459))),
inference(resolve,[$cnf( $equal(join(X_246,complement(join(complement(X_459),X_246))),join(X_246,meet(complement(X_246),X_459))) )],[refute_0_5740,refute_0_5743]) ).
cnf(refute_0_5745,plain,
( join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != join(X_459,join(X_246,meet(complement(X_246),X_459)))
| join(X_459,join(X_246,meet(complement(X_246),X_459))) != join(X_246,X_459)
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_246,X_459) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))))),bind(Y,$fot(join(X_459,join(X_246,meet(complement(X_246),X_459))))),bind(Z,$fot(join(X_246,X_459)))]]) ).
cnf(refute_0_5746,plain,
( join(X_459,join(X_246,meet(complement(X_246),X_459))) != join(X_246,X_459)
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_246,X_459) ),
inference(resolve,[$cnf( $equal(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),join(X_459,join(X_246,meet(complement(X_246),X_459)))) )],[refute_0_5744,refute_0_5745]) ).
cnf(refute_0_5747,plain,
join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) = join(X_246,X_459),
inference(resolve,[$cnf( $equal(join(X_459,join(X_246,meet(complement(X_246),X_459))),join(X_246,X_459)) )],[refute_0_5735,refute_0_5746]) ).
cnf(refute_0_5748,plain,
( join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != join(X_246,X_459)
| join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_246,X_459) = join(X_246,complement(join(complement(X_459),X_246))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),join(X_246,complement(join(complement(X_459),X_246)))) ),[0],$fot(join(X_246,X_459))]]) ).
cnf(refute_0_5749,plain,
( join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_246,X_459) = join(X_246,complement(join(complement(X_459),X_246))) ),
inference(resolve,[$cnf( $equal(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),join(X_246,X_459)) )],[refute_0_5747,refute_0_5748]) ).
cnf(refute_0_5750,plain,
( join(X_246,X_459) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_246,complement(join(complement(X_459),X_246))) != join(X_246,meet(complement(X_246),X_459))
| join(X_246,X_459) = join(X_246,meet(complement(X_246),X_459)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_246,X_459),join(X_246,meet(complement(X_246),X_459))) ),[0],$fot(join(X_246,complement(join(complement(X_459),X_246))))]]) ).
cnf(refute_0_5751,plain,
( join(X_246,X_459) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_246,X_459) = join(X_246,meet(complement(X_246),X_459)) ),
inference(resolve,[$cnf( $equal(join(X_246,complement(join(complement(X_459),X_246))),join(X_246,meet(complement(X_246),X_459))) )],[refute_0_5740,refute_0_5750]) ).
cnf(refute_0_5752,plain,
( join(X_459,join(X_246,complement(join(complement(X_459),X_246)))) != join(X_246,complement(join(complement(X_459),X_246)))
| join(X_246,X_459) = join(X_246,meet(complement(X_246),X_459)) ),
inference(resolve,[$cnf( $equal(join(X_246,X_459),join(X_246,complement(join(complement(X_459),X_246)))) )],[refute_0_5749,refute_0_5751]) ).
cnf(refute_0_5753,plain,
join(X_246,X_459) = join(X_246,meet(complement(X_246),X_459)),
inference(resolve,[$cnf( $equal(join(X_459,join(X_246,complement(join(complement(X_459),X_246)))),join(X_246,complement(join(complement(X_459),X_246)))) )],[refute_0_5734,refute_0_5752]) ).
cnf(refute_0_5754,plain,
( join(X_246,X_459) != join(X_246,meet(complement(X_246),X_459))
| join(X_246,meet(complement(X_246),X_459)) = join(X_246,X_459) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_246,X_459))),bind(Y,$fot(join(X_246,meet(complement(X_246),X_459))))]]) ).
cnf(refute_0_5755,plain,
join(X_246,meet(complement(X_246),X_459)) = join(X_246,X_459),
inference(resolve,[$cnf( $equal(join(X_246,X_459),join(X_246,meet(complement(X_246),X_459))) )],[refute_0_5753,refute_0_5754]) ).
cnf(refute_0_5756,plain,
join(X0,meet(complement(X0),converse(X_459))) = join(X0,converse(X_459)),
inference(subst,[],[refute_0_5755:[bind(X_246,$fot(X0)),bind(X_459,$fot(converse(X_459)))]]) ).
cnf(refute_0_5757,plain,
converse(join(X0,meet(complement(X0),converse(X_459)))) = converse(join(X0,meet(complement(X0),converse(X_459)))),
introduced(tautology,[refl,[$fot(converse(join(X0,meet(complement(X0),converse(X_459)))))]]) ).
cnf(refute_0_5758,plain,
( converse(join(X0,meet(complement(X0),converse(X_459)))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X0,meet(complement(X0),converse(X_459))) != join(X0,converse(X_459))
| converse(join(X0,meet(complement(X0),converse(X_459)))) = converse(join(X0,converse(X_459))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,meet(complement(X0),converse(X_459)))),converse(join(X0,meet(complement(X0),converse(X_459))))) ),[1,0],$fot(join(X0,converse(X_459)))]]) ).
cnf(refute_0_5759,plain,
( join(X0,meet(complement(X0),converse(X_459))) != join(X0,converse(X_459))
| converse(join(X0,meet(complement(X0),converse(X_459)))) = converse(join(X0,converse(X_459))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,meet(complement(X0),converse(X_459)))),converse(join(X0,meet(complement(X0),converse(X_459))))) )],[refute_0_5757,refute_0_5758]) ).
cnf(refute_0_5760,plain,
converse(join(X0,meet(complement(X0),converse(X_459)))) = converse(join(X0,converse(X_459))),
inference(resolve,[$cnf( $equal(join(X0,meet(complement(X0),converse(X_459))),join(X0,converse(X_459))) )],[refute_0_5756,refute_0_5759]) ).
cnf(refute_0_5761,plain,
( converse(join(X0,converse(X_459))) != join(converse(X0),X_459)
| converse(join(X0,meet(complement(X0),converse(X_459)))) != converse(join(X0,converse(X_459)))
| converse(join(X0,meet(complement(X0),converse(X_459)))) = join(converse(X0),X_459) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(converse(join(X0,meet(complement(X0),converse(X_459)))))),bind(Y,$fot(converse(join(X0,converse(X_459))))),bind(Z,$fot(join(converse(X0),X_459)))]]) ).
cnf(refute_0_5762,plain,
( converse(join(X0,converse(X_459))) != join(converse(X0),X_459)
| converse(join(X0,meet(complement(X0),converse(X_459)))) = join(converse(X0),X_459) ),
inference(resolve,[$cnf( $equal(converse(join(X0,meet(complement(X0),converse(X_459)))),converse(join(X0,converse(X_459)))) )],[refute_0_5760,refute_0_5761]) ).
cnf(refute_0_5763,plain,
converse(join(X0,meet(complement(X0),converse(X_459)))) = join(converse(X0),X_459),
inference(resolve,[$cnf( $equal(converse(join(X0,converse(X_459))),join(converse(X0),X_459)) )],[refute_0_5660,refute_0_5762]) ).
cnf(refute_0_5764,plain,
join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),
introduced(tautology,[refl,[$fot(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))))]]) ).
cnf(refute_0_5765,plain,
( converse(join(X0,meet(complement(X0),converse(X_459)))) != join(converse(X0),X_459)
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != join(X_459,converse(join(X0,meet(complement(X0),converse(X_459)))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,join(converse(X0),X_459)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),join(X_459,converse(join(X0,meet(complement(X0),converse(X_459)))))) ),[1,1],$fot(join(converse(X0),X_459))]]) ).
cnf(refute_0_5766,plain,
( converse(join(X0,meet(complement(X0),converse(X_459)))) != join(converse(X0),X_459)
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,join(converse(X0),X_459)) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),join(X_459,converse(join(X0,meet(complement(X0),converse(X_459)))))) )],[refute_0_5764,refute_0_5765]) ).
cnf(refute_0_5767,plain,
join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,join(converse(X0),X_459)),
inference(resolve,[$cnf( $equal(converse(join(X0,meet(complement(X0),converse(X_459)))),join(converse(X0),X_459)) )],[refute_0_5763,refute_0_5766]) ).
cnf(refute_0_5768,plain,
( join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != join(X_459,join(converse(X0),X_459))
| join(X_459,join(converse(X0),X_459)) != join(X_459,converse(X0))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,converse(X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))))),bind(Y,$fot(join(X_459,join(converse(X0),X_459)))),bind(Z,$fot(join(X_459,converse(X0))))]]) ).
cnf(refute_0_5769,plain,
( join(X_459,join(converse(X0),X_459)) != join(X_459,converse(X0))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),join(X_459,join(converse(X0),X_459))) )],[refute_0_5767,refute_0_5768]) ).
cnf(refute_0_5770,plain,
join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) = join(X_459,converse(X0)),
inference(resolve,[$cnf( $equal(join(X_459,join(converse(X0),X_459)),join(X_459,converse(X0))) )],[refute_0_5659,refute_0_5769]) ).
cnf(refute_0_5771,plain,
( join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != join(X_459,converse(X0))
| join(X_459,converse(X0)) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),converse(join(X0,meet(complement(X0),converse(X_459))))) ),[0],$fot(join(X_459,converse(X0)))]]) ).
cnf(refute_0_5772,plain,
( join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(X0)) = converse(join(X0,meet(complement(X0),converse(X_459)))) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),join(X_459,converse(X0))) )],[refute_0_5770,refute_0_5771]) ).
cnf(refute_0_5773,plain,
( converse(join(X0,meet(complement(X0),converse(X_459)))) != join(converse(X0),X_459)
| join(X_459,converse(X0)) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(X0)) = join(converse(X0),X_459) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,converse(X0)),converse(join(X0,meet(complement(X0),converse(X_459))))) ),[1],$fot(join(converse(X0),X_459))]]) ).
cnf(refute_0_5774,plain,
( join(X_459,converse(X0)) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(X0)) = join(converse(X0),X_459) ),
inference(resolve,[$cnf( $equal(converse(join(X0,meet(complement(X0),converse(X_459)))),join(converse(X0),X_459)) )],[refute_0_5763,refute_0_5773]) ).
cnf(refute_0_5775,plain,
( join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))) != converse(join(X0,meet(complement(X0),converse(X_459))))
| join(X_459,converse(X0)) = join(converse(X0),X_459) ),
inference(resolve,[$cnf( $equal(join(X_459,converse(X0)),converse(join(X0,meet(complement(X0),converse(X_459))))) )],[refute_0_5772,refute_0_5774]) ).
cnf(refute_0_5776,plain,
join(X_459,converse(X0)) = join(converse(X0),X_459),
inference(resolve,[$cnf( $equal(join(X_459,converse(join(X0,meet(complement(X0),converse(X_459))))),converse(join(X0,meet(complement(X0),converse(X_459))))) )],[refute_0_5658,refute_0_5775]) ).
cnf(refute_0_5777,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5776:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_459,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5778,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5779,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5777,refute_0_5778]) ).
cnf(refute_0_5780,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5628,refute_0_5779]) ).
cnf(refute_0_5781,plain,
( converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5782,plain,
( converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5780,refute_0_5781]) ).
cnf(refute_0_5783,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5627,refute_0_5782]) ).
cnf(refute_0_5784,plain,
meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5785,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5786,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5784,refute_0_5785]) ).
cnf(refute_0_5787,plain,
meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5783,refute_0_5786]) ).
cnf(refute_0_5788,plain,
meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5789,plain,
( complement(zero) != top
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5790,plain,
( complement(zero) != top
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5788,refute_0_5789]) ).
cnf(refute_0_5791,plain,
meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_201,refute_0_5790]) ).
cnf(refute_0_5792,plain,
( meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5793,plain,
( meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5791,refute_0_5792]) ).
cnf(refute_0_5794,plain,
meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5787,refute_0_5793]) ).
cnf(refute_0_5795,plain,
( meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5796,plain,
( meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5794,refute_0_5795]) ).
cnf(refute_0_5797,plain,
meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(top,converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5566,refute_0_5796]) ).
cnf(refute_0_5798,plain,
( meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5799,plain,
( meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5797,refute_0_5798]) ).
cnf(refute_0_5800,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5801,plain,
( converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5545,refute_0_5800]) ).
cnf(refute_0_5802,plain,
( meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5799,refute_0_5801]) ).
cnf(refute_0_5803,plain,
converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5565,refute_0_5802]) ).
cnf(refute_0_5804,plain,
( converse(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5805,plain,
( converse(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5803,refute_0_5804]) ).
cnf(refute_0_5806,plain,
converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4745,refute_0_5805]) ).
cnf(refute_0_5807,plain,
converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_54:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5808,plain,
( converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5809,plain,
( converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5807,refute_0_5808]) ).
cnf(refute_0_5810,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5806,refute_0_5809]) ).
cnf(refute_0_5811,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5812,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5810,refute_0_5811]) ).
cnf(refute_0_5813,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2794:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_56,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5814,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5815,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5813,refute_0_5814]) ).
cnf(refute_0_5816,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5812,refute_0_5815]) ).
cnf(refute_0_5817,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5818,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5816,refute_0_5817]) ).
cnf(refute_0_5819,plain,
join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4744,refute_0_5818]) ).
cnf(refute_0_5820,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5821,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5819,refute_0_5820]) ).
cnf(refute_0_5822,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(X_464,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))),complement(join(X_464,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5823,plain,
( meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(X_464,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5821,refute_0_5822]) ).
cnf(refute_0_5824,plain,
meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))),complement(join(X_464,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3182,refute_0_5823]) ).
cnf(refute_0_5825,plain,
meet(complement(join(X_464,skolemFOFtoCNF_X0)),one) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_26:[bind(X_29,$fot(one)),bind(X_30,$fot(complement(join(X_464,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5826,plain,
meet(complement(join(X0,X1)),X_465) = complement(join(join(X0,X1),complement(X_465))),
inference(subst,[],[refute_0_1175:[bind(X_462,$fot(X_465)),bind(X_464,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5827,plain,
join(X0,join(X1,complement(X_465))) = join(join(X0,X1),complement(X_465)),
inference(subst,[],[refute_0_209:[bind(X2,$fot(complement(X_465)))]]) ).
cnf(refute_0_5828,plain,
( join(X0,join(X1,complement(X_465))) != join(join(X0,X1),complement(X_465))
| join(join(X0,X1),complement(X_465)) = join(X0,join(X1,complement(X_465))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,complement(X_465))))),bind(Y,$fot(join(join(X0,X1),complement(X_465))))]]) ).
cnf(refute_0_5829,plain,
join(join(X0,X1),complement(X_465)) = join(X0,join(X1,complement(X_465))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_465))),join(join(X0,X1),complement(X_465))) )],[refute_0_5827,refute_0_5828]) ).
cnf(refute_0_5830,plain,
( join(join(X0,X1),complement(X_465)) != join(X0,join(X1,complement(X_465)))
| meet(complement(join(X0,X1)),X_465) != complement(join(join(X0,X1),complement(X_465)))
| meet(complement(join(X0,X1)),X_465) = complement(join(X0,join(X1,complement(X_465)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X0,X1)),X_465),complement(join(join(X0,X1),complement(X_465)))) ),[1,0],$fot(join(X0,join(X1,complement(X_465))))]]) ).
cnf(refute_0_5831,plain,
( meet(complement(join(X0,X1)),X_465) != complement(join(join(X0,X1),complement(X_465)))
| meet(complement(join(X0,X1)),X_465) = complement(join(X0,join(X1,complement(X_465)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_465)),join(X0,join(X1,complement(X_465)))) )],[refute_0_5829,refute_0_5830]) ).
cnf(refute_0_5832,plain,
meet(complement(join(X0,X1)),X_465) = complement(join(X0,join(X1,complement(X_465)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_465),complement(join(join(X0,X1),complement(X_465)))) )],[refute_0_5826,refute_0_5831]) ).
cnf(refute_0_5833,plain,
( meet(complement(join(X0,X1)),X_465) != complement(join(X0,join(X1,complement(X_465))))
| complement(join(X0,join(X1,complement(X_465)))) = meet(complement(join(X0,X1)),X_465) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(join(X0,X1)),X_465))),bind(Y,$fot(complement(join(X0,join(X1,complement(X_465))))))]]) ).
cnf(refute_0_5834,plain,
complement(join(X0,join(X1,complement(X_465)))) = meet(complement(join(X0,X1)),X_465),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_465),complement(join(X0,join(X1,complement(X_465))))) )],[refute_0_5832,refute_0_5833]) ).
cnf(refute_0_5835,plain,
complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) = meet(complement(join(X_464,skolemFOFtoCNF_X0)),one),
inference(subst,[],[refute_0_5834:[bind(X0,$fot(X_464)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_465,$fot(one))]]) ).
cnf(refute_0_5836,plain,
( complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) != meet(complement(join(X_464,skolemFOFtoCNF_X0)),one)
| meet(complement(join(X_464,skolemFOFtoCNF_X0)),one) != meet(one,complement(join(X_464,skolemFOFtoCNF_X0)))
| complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(meet(complement(join(X_464,skolemFOFtoCNF_X0)),one))),bind(Z,$fot(meet(one,complement(join(X_464,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5837,plain,
( meet(complement(join(X_464,skolemFOFtoCNF_X0)),one) != meet(one,complement(join(X_464,skolemFOFtoCNF_X0)))
| complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))),meet(complement(join(X_464,skolemFOFtoCNF_X0)),one)) )],[refute_0_5835,refute_0_5836]) ).
cnf(refute_0_5838,plain,
complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(join(X_464,skolemFOFtoCNF_X0)),one),meet(one,complement(join(X_464,skolemFOFtoCNF_X0)))) )],[refute_0_5825,refute_0_5837]) ).
cnf(refute_0_5839,plain,
( complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(join(X_464,skolemFOFtoCNF_X0)))
| meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))),complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(meet(one,complement(join(X_464,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5840,plain,
( meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one)))),meet(one,complement(join(X_464,skolemFOFtoCNF_X0)))) )],[refute_0_5838,refute_0_5839]) ).
cnf(refute_0_5841,plain,
meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(X_464,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(X_464),meet(one,complement(skolemFOFtoCNF_X0))),complement(join(X_464,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5824,refute_0_5840]) ).
cnf(refute_0_5842,plain,
meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_5841:[bind(X_464,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5843,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0)))
| meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5844,plain,
( meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0)))) )],[refute_0_5842,refute_0_5843]) ).
cnf(refute_0_5845,plain,
meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_3181,refute_0_5844]) ).
cnf(refute_0_5846,plain,
join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1154:[bind(X_37,$fot(meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5847,plain,
( join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) != meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5848,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5846,refute_0_5847]) ).
cnf(refute_0_5849,plain,
join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5845,refute_0_5848]) ).
cnf(refute_0_5850,plain,
( join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5851,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5849,refute_0_5850]) ).
cnf(refute_0_5852,plain,
join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_3048,refute_0_5851]) ).
cnf(refute_0_5853,plain,
( join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(skolemFOFtoCNF_X0)) != join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5854,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5852,refute_0_5853]) ).
cnf(refute_0_5855,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(zero,meet(complement(composition(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2855,refute_0_5854]) ).
cnf(refute_0_5856,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5857,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5855,refute_0_5856]) ).
cnf(refute_0_5858,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5859,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5860,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5858,refute_0_5859]) ).
cnf(refute_0_5861,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5857,refute_0_5860]) ).
cnf(refute_0_5862,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5863,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5861,refute_0_5862]) ).
cnf(refute_0_5864,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1063,refute_0_5863]) ).
cnf(refute_0_5865,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),meet(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5866,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,complement(skolemFOFtoCNF_X0))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5864,refute_0_5865]) ).
cnf(refute_0_5867,plain,
meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5866,refute_0_47]) ).
cnf(refute_0_5868,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,complement(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5869,plain,
$false,
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5868,refute_0_5867]) ).
fof(negate_1_0,plain,
~ ! [X0] :
( ( join(X0,one) = one
& join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one) )
=> join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) = meet(complement(composition(X0,top)),one) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,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_1_1,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_1_3,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_1_5,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_1_7,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_1_9,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_1_11,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_1_13,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_1_15,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_1_17,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_1_19,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_1_21,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_1_23,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_1_25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_1_24]) ).
fof(normalize_1_26,plain,
? [X0] :
( join(meet(complement(X0),one),meet(complement(composition(X0,top)),one)) != meet(complement(composition(X0,top)),one)
& join(X0,one) = one
& join(meet(complement(composition(X0,top)),one),meet(complement(X0),one)) = meet(complement(X0),one) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_27,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)
& join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) = meet(complement(skolemFOFtoCNF_X0_1),one)
& join(skolemFOFtoCNF_X0_1,one) = one ),
inference(skolemize,[],[normalize_1_26]) ).
fof(normalize_1_28,plain,
join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) = meet(complement(skolemFOFtoCNF_X0_1),one),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
join(skolemFOFtoCNF_X0_1,one) = one,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_30,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(canonicalize,[],[modular_law_1]) ).
fof(normalize_1_31,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(specialize,[],[normalize_1_30]) ).
fof(normalize_1_32,plain,
join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),
inference(conjunct,[],[normalize_1_27]) ).
cnf(refute_1_0,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_1_6,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_1_1,refute_1_5]) ).
cnf(refute_1_7,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_8,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_1_9,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_7,refute_1_8]) ).
cnf(refute_1_10,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_1_0,refute_1_9]) ).
cnf(refute_1_11,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_1_12,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_13,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_14,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_16,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_1_17,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_14,refute_1_17]) ).
cnf(refute_1_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_4,refute_1_19]) ).
cnf(refute_1_21,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_22,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_1_18,refute_1_21]) ).
cnf(refute_1_23,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_11,refute_1_22]) ).
cnf(refute_1_24,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_1_25,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_23,refute_1_24]) ).
cnf(refute_1_26,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_10,refute_1_25]) ).
cnf(refute_1_27,plain,
X_675 = join(meet(X_675,X_676),complement(join(complement(X_675),X_676))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(X_676))]]) ).
cnf(refute_1_28,plain,
meet(X_601,X_602) = complement(join(complement(X_601),complement(X_602))),
inference(subst,[],[refute_1_12:[bind(X0,$fot(X_601)),bind(X1,$fot(X_602))]]) ).
cnf(refute_1_29,plain,
join(complement(X_602),complement(X_601)) = join(complement(X_601),complement(X_602)),
inference(subst,[],[refute_1_1:[bind(X0,$fot(complement(X_602))),bind(X1,$fot(complement(X_601)))]]) ).
cnf(refute_1_30,plain,
( join(complement(X_602),complement(X_601)) != join(complement(X_601),complement(X_602))
| join(complement(X_601),complement(X_602)) = join(complement(X_602),complement(X_601)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(X_602),complement(X_601)))),bind(Y,$fot(join(complement(X_601),complement(X_602))))]]) ).
cnf(refute_1_31,plain,
join(complement(X_601),complement(X_602)) = join(complement(X_602),complement(X_601)),
inference(resolve,[$cnf( $equal(join(complement(X_602),complement(X_601)),join(complement(X_601),complement(X_602))) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
( join(complement(X_601),complement(X_602)) != join(complement(X_602),complement(X_601))
| meet(X_601,X_602) != complement(join(complement(X_601),complement(X_602)))
| meet(X_601,X_602) = complement(join(complement(X_602),complement(X_601))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_601,X_602),complement(join(complement(X_601),complement(X_602)))) ),[1,0],$fot(join(complement(X_602),complement(X_601)))]]) ).
cnf(refute_1_33,plain,
( meet(X_601,X_602) != complement(join(complement(X_601),complement(X_602)))
| meet(X_601,X_602) = complement(join(complement(X_602),complement(X_601))) ),
inference(resolve,[$cnf( $equal(join(complement(X_601),complement(X_602)),join(complement(X_602),complement(X_601))) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
meet(X_601,X_602) = complement(join(complement(X_602),complement(X_601))),
inference(resolve,[$cnf( $equal(meet(X_601,X_602),complement(join(complement(X_601),complement(X_602)))) )],[refute_1_28,refute_1_33]) ).
cnf(refute_1_35,plain,
complement(join(complement(X_602),complement(X_601))) = meet(X_602,X_601),
inference(subst,[],[refute_1_14:[bind(X0,$fot(X_602)),bind(X1,$fot(X_601))]]) ).
cnf(refute_1_36,plain,
( complement(join(complement(X_602),complement(X_601))) != meet(X_602,X_601)
| meet(X_601,X_602) != complement(join(complement(X_602),complement(X_601)))
| meet(X_601,X_602) = meet(X_602,X_601) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_601,X_602),complement(join(complement(X_602),complement(X_601)))) ),[1],$fot(meet(X_602,X_601))]]) ).
cnf(refute_1_37,plain,
( meet(X_601,X_602) != complement(join(complement(X_602),complement(X_601)))
| meet(X_601,X_602) = meet(X_602,X_601) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_602),complement(X_601))),meet(X_602,X_601)) )],[refute_1_35,refute_1_36]) ).
cnf(refute_1_38,plain,
meet(X_601,X_602) = meet(X_602,X_601),
inference(resolve,[$cnf( $equal(meet(X_601,X_602),complement(join(complement(X_602),complement(X_601)))) )],[refute_1_34,refute_1_37]) ).
cnf(refute_1_39,plain,
meet(X_676,X_675) = meet(X_675,X_676),
inference(subst,[],[refute_1_38:[bind(X_601,$fot(X_676)),bind(X_602,$fot(X_675))]]) ).
cnf(refute_1_40,plain,
( meet(X_676,X_675) != meet(X_675,X_676)
| meet(X_675,X_676) = meet(X_676,X_675) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_676,X_675))),bind(Y,$fot(meet(X_675,X_676)))]]) ).
cnf(refute_1_41,plain,
meet(X_675,X_676) = meet(X_676,X_675),
inference(resolve,[$cnf( $equal(meet(X_676,X_675),meet(X_675,X_676)) )],[refute_1_39,refute_1_40]) ).
cnf(refute_1_42,plain,
( X_675 != join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))
| meet(X_675,X_676) != meet(X_676,X_675)
| X_675 = join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))) ),[1,0],$fot(meet(X_676,X_675))]]) ).
cnf(refute_1_43,plain,
( X_675 != join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))
| X_675 = join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) ),
inference(resolve,[$cnf( $equal(meet(X_675,X_676),meet(X_676,X_675)) )],[refute_1_41,refute_1_42]) ).
cnf(refute_1_44,plain,
X_675 = join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))) )],[refute_1_27,refute_1_43]) ).
cnf(refute_1_45,plain,
X_675 = join(meet(join(complement(complement(X_675)),X_732),X_675),complement(join(complement(X_675),join(complement(complement(X_675)),X_732)))),
inference(subst,[],[refute_1_44:[bind(X_676,$fot(join(complement(complement(X_675)),X_732)))]]) ).
cnf(refute_1_46,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_47,plain,
join(X_727,join(complement(X_727),X_729)) = join(join(X_727,complement(X_727)),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(complement(X_727))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_48,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_49,plain,
top = join(X_727,complement(X_727)),
inference(subst,[],[refute_1_48:[bind(X0,$fot(X_727))]]) ).
cnf(refute_1_50,plain,
( top != join(X_727,complement(X_727))
| join(X_727,complement(X_727)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_727,complement(X_727))))]]) ).
cnf(refute_1_51,plain,
join(X_727,complement(X_727)) = top,
inference(resolve,[$cnf( $equal(top,join(X_727,complement(X_727))) )],[refute_1_49,refute_1_50]) ).
cnf(refute_1_52,plain,
( join(X_727,complement(X_727)) != top
| join(X_727,join(complement(X_727),X_729)) != join(join(X_727,complement(X_727)),X_729)
| join(X_727,join(complement(X_727),X_729)) = join(top,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_727,join(complement(X_727),X_729)),join(join(X_727,complement(X_727)),X_729)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_53,plain,
( join(X_727,join(complement(X_727),X_729)) != join(join(X_727,complement(X_727)),X_729)
| join(X_727,join(complement(X_727),X_729)) = join(top,X_729) ),
inference(resolve,[$cnf( $equal(join(X_727,complement(X_727)),top) )],[refute_1_51,refute_1_52]) ).
cnf(refute_1_54,plain,
join(X_727,join(complement(X_727),X_729)) = join(top,X_729),
inference(resolve,[$cnf( $equal(join(X_727,join(complement(X_727),X_729)),join(join(X_727,complement(X_727)),X_729)) )],[refute_1_47,refute_1_53]) ).
cnf(refute_1_55,plain,
top = join(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602)))),
inference(subst,[],[refute_1_48:[bind(X0,$fot(join(complement(X_601),complement(X_602))))]]) ).
cnf(refute_1_56,plain,
( meet(X_601,X_602) != complement(join(complement(X_601),complement(X_602)))
| complement(join(complement(X_601),complement(X_602))) = meet(X_601,X_602) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_601,X_602))),bind(Y,$fot(complement(join(complement(X_601),complement(X_602)))))]]) ).
cnf(refute_1_57,plain,
complement(join(complement(X_601),complement(X_602))) = meet(X_601,X_602),
inference(resolve,[$cnf( $equal(meet(X_601,X_602),complement(join(complement(X_601),complement(X_602)))) )],[refute_1_28,refute_1_56]) ).
cnf(refute_1_58,plain,
( complement(join(complement(X_601),complement(X_602))) != meet(X_601,X_602)
| top != join(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))
| top = join(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))) ),[1,1],$fot(meet(X_601,X_602))]]) ).
cnf(refute_1_59,plain,
( top != join(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))
| top = join(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_601),complement(X_602))),meet(X_601,X_602)) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
top = join(join(complement(X_601),complement(X_602)),meet(X_601,X_602)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))) )],[refute_1_55,refute_1_59]) ).
cnf(refute_1_61,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_1_62,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_1_46,refute_1_61]) ).
cnf(refute_1_63,plain,
join(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) = join(complement(X_601),join(complement(X_602),meet(X_601,X_602))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(X_601))),bind(X1,$fot(complement(X_602))),bind(X2,$fot(meet(X_601,X_602)))]]) ).
cnf(refute_1_64,plain,
( join(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) != join(complement(X_601),join(complement(X_602),meet(X_601,X_602)))
| top != join(join(complement(X_601),complement(X_602)),meet(X_601,X_602))
| top = join(complement(X_601),join(complement(X_602),meet(X_601,X_602))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_601),complement(X_602)),meet(X_601,X_602))) ),[1],$fot(join(complement(X_601),join(complement(X_602),meet(X_601,X_602))))]]) ).
cnf(refute_1_65,plain,
( top != join(join(complement(X_601),complement(X_602)),meet(X_601,X_602))
| top = join(complement(X_601),join(complement(X_602),meet(X_601,X_602))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_601),complement(X_602)),meet(X_601,X_602)),join(complement(X_601),join(complement(X_602),meet(X_601,X_602)))) )],[refute_1_63,refute_1_64]) ).
cnf(refute_1_66,plain,
top = join(complement(X_601),join(complement(X_602),meet(X_601,X_602))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_601),complement(X_602)),meet(X_601,X_602))) )],[refute_1_60,refute_1_65]) ).
cnf(refute_1_67,plain,
top = join(complement(X_602),join(complement(X_602),meet(X_602,X_602))),
inference(subst,[],[refute_1_66:[bind(X_601,$fot(X_602))]]) ).
cnf(refute_1_68,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_1_12:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_69,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_70,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_1_71,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_1_72,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_1_69,refute_1_72]) ).
cnf(refute_1_74,plain,
join(complement(X_617),composition(converse(one),complement(composition(one,X_617)))) = complement(X_617),
inference(subst,[],[refute_1_73:[bind(X0,$fot(one)),bind(X1,$fot(X_617))]]) ).
cnf(refute_1_75,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_76,plain,
converse(composition(converse(X0),X_596)) = composition(converse(X_596),converse(converse(X0))),
inference(subst,[],[refute_1_75:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_596))]]) ).
cnf(refute_1_77,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_78,plain,
( converse(composition(converse(X0),X_596)) != composition(converse(X_596),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_596)) = composition(converse(X_596),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_596)),composition(converse(X_596),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_79,plain,
( converse(composition(converse(X0),X_596)) != composition(converse(X_596),converse(converse(X0)))
| converse(composition(converse(X0),X_596)) = composition(converse(X_596),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_78]) ).
cnf(refute_1_80,plain,
converse(composition(converse(X0),X_596)) = composition(converse(X_596),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_596)),composition(converse(X_596),converse(converse(X0)))) )],[refute_1_76,refute_1_79]) ).
cnf(refute_1_81,plain,
converse(composition(converse(X_610),one)) = composition(converse(one),X_610),
inference(subst,[],[refute_1_80:[bind(X0,$fot(X_610)),bind(X_596,$fot(one))]]) ).
cnf(refute_1_82,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_83,plain,
composition(converse(X_610),one) = converse(X_610),
inference(subst,[],[refute_1_82:[bind(X0,$fot(converse(X_610)))]]) ).
cnf(refute_1_84,plain,
( composition(converse(X_610),one) != converse(X_610)
| converse(composition(converse(X_610),one)) != composition(converse(one),X_610)
| converse(converse(X_610)) = composition(converse(one),X_610) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_610),one)),composition(converse(one),X_610)) ),[0,0],$fot(converse(X_610))]]) ).
cnf(refute_1_85,plain,
( converse(composition(converse(X_610),one)) != composition(converse(one),X_610)
| converse(converse(X_610)) = composition(converse(one),X_610) ),
inference(resolve,[$cnf( $equal(composition(converse(X_610),one),converse(X_610)) )],[refute_1_83,refute_1_84]) ).
cnf(refute_1_86,plain,
converse(converse(X_610)) = composition(converse(one),X_610),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_610),one)),composition(converse(one),X_610)) )],[refute_1_81,refute_1_85]) ).
cnf(refute_1_87,plain,
converse(converse(X_610)) = X_610,
inference(subst,[],[refute_1_77:[bind(X0,$fot(X_610))]]) ).
cnf(refute_1_88,plain,
( converse(converse(X_610)) != X_610
| converse(converse(X_610)) != composition(converse(one),X_610)
| X_610 = composition(converse(one),X_610) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_610)),composition(converse(one),X_610)) ),[0],$fot(X_610)]]) ).
cnf(refute_1_89,plain,
( converse(converse(X_610)) != composition(converse(one),X_610)
| X_610 = composition(converse(one),X_610) ),
inference(resolve,[$cnf( $equal(converse(converse(X_610)),X_610) )],[refute_1_87,refute_1_88]) ).
cnf(refute_1_90,plain,
X_610 = composition(converse(one),X_610),
inference(resolve,[$cnf( $equal(converse(converse(X_610)),composition(converse(one),X_610)) )],[refute_1_86,refute_1_89]) ).
cnf(refute_1_91,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_1_82:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_1_92,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_1_90:[bind(X_610,$fot(one))]]) ).
cnf(refute_1_93,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_1_94,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_1_92,refute_1_93]) ).
cnf(refute_1_95,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_1_96,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_1_94,refute_1_95]) ).
cnf(refute_1_97,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_1_91,refute_1_96]) ).
cnf(refute_1_98,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_1_99,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_1_97,refute_1_98]) ).
cnf(refute_1_100,plain,
composition(converse(one),X_610) = composition(converse(one),X_610),
introduced(tautology,[refl,[$fot(composition(converse(one),X_610))]]) ).
cnf(refute_1_101,plain,
( composition(converse(one),X_610) != composition(converse(one),X_610)
| converse(one) != one
| composition(converse(one),X_610) = composition(one,X_610) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_610),composition(converse(one),X_610)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_102,plain,
( converse(one) != one
| composition(converse(one),X_610) = composition(one,X_610) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_610),composition(converse(one),X_610)) )],[refute_1_100,refute_1_101]) ).
cnf(refute_1_103,plain,
composition(converse(one),X_610) = composition(one,X_610),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_102]) ).
cnf(refute_1_104,plain,
( X_610 != composition(converse(one),X_610)
| composition(converse(one),X_610) != composition(one,X_610)
| X_610 = composition(one,X_610) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_610,composition(one,X_610)) ),[0],$fot(composition(converse(one),X_610))]]) ).
cnf(refute_1_105,plain,
( X_610 != composition(converse(one),X_610)
| X_610 = composition(one,X_610) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_610),composition(one,X_610)) )],[refute_1_103,refute_1_104]) ).
cnf(refute_1_106,plain,
X_610 = composition(one,X_610),
inference(resolve,[$cnf( $equal(X_610,composition(converse(one),X_610)) )],[refute_1_90,refute_1_105]) ).
cnf(refute_1_107,plain,
X_617 = composition(one,X_617),
inference(subst,[],[refute_1_106:[bind(X_610,$fot(X_617))]]) ).
cnf(refute_1_108,plain,
( X_617 != composition(one,X_617)
| composition(one,X_617) = X_617 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_617)),bind(Y,$fot(composition(one,X_617)))]]) ).
cnf(refute_1_109,plain,
composition(one,X_617) = X_617,
inference(resolve,[$cnf( $equal(X_617,composition(one,X_617)) )],[refute_1_107,refute_1_108]) ).
cnf(refute_1_110,plain,
( composition(one,X_617) != X_617
| join(complement(X_617),composition(converse(one),complement(composition(one,X_617)))) != complement(X_617)
| join(complement(X_617),composition(converse(one),complement(X_617))) = complement(X_617) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(composition(one,X_617)))),complement(X_617)) ),[0,1,1,0],$fot(X_617)]]) ).
cnf(refute_1_111,plain,
( join(complement(X_617),composition(converse(one),complement(composition(one,X_617)))) != complement(X_617)
| join(complement(X_617),composition(converse(one),complement(X_617))) = complement(X_617) ),
inference(resolve,[$cnf( $equal(composition(one,X_617),X_617) )],[refute_1_109,refute_1_110]) ).
cnf(refute_1_112,plain,
join(complement(X_617),composition(converse(one),complement(X_617))) = complement(X_617),
inference(resolve,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(composition(one,X_617)))),complement(X_617)) )],[refute_1_74,refute_1_111]) ).
cnf(refute_1_113,plain,
( X_610 != composition(one,X_610)
| composition(one,X_610) = X_610 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_610)),bind(Y,$fot(composition(one,X_610)))]]) ).
cnf(refute_1_114,plain,
composition(one,X_610) = X_610,
inference(resolve,[$cnf( $equal(X_610,composition(one,X_610)) )],[refute_1_106,refute_1_113]) ).
cnf(refute_1_115,plain,
composition(one,complement(X_617)) = complement(X_617),
inference(subst,[],[refute_1_114:[bind(X_610,$fot(complement(X_617)))]]) ).
cnf(refute_1_116,plain,
composition(converse(one),complement(X_617)) = composition(converse(one),complement(X_617)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_617)))]]) ).
cnf(refute_1_117,plain,
( composition(converse(one),complement(X_617)) != composition(converse(one),complement(X_617))
| converse(one) != one
| composition(converse(one),complement(X_617)) = composition(one,complement(X_617)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_617)),composition(converse(one),complement(X_617))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_118,plain,
( converse(one) != one
| composition(converse(one),complement(X_617)) = composition(one,complement(X_617)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_617)),composition(converse(one),complement(X_617))) )],[refute_1_116,refute_1_117]) ).
cnf(refute_1_119,plain,
composition(converse(one),complement(X_617)) = composition(one,complement(X_617)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_118]) ).
cnf(refute_1_120,plain,
( composition(converse(one),complement(X_617)) != composition(one,complement(X_617))
| composition(one,complement(X_617)) != complement(X_617)
| composition(converse(one),complement(X_617)) = complement(X_617) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(one),complement(X_617)))),bind(Y,$fot(composition(one,complement(X_617)))),bind(Z,$fot(complement(X_617)))]]) ).
cnf(refute_1_121,plain,
( composition(one,complement(X_617)) != complement(X_617)
| composition(converse(one),complement(X_617)) = complement(X_617) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_617)),composition(one,complement(X_617))) )],[refute_1_119,refute_1_120]) ).
cnf(refute_1_122,plain,
composition(converse(one),complement(X_617)) = complement(X_617),
inference(resolve,[$cnf( $equal(composition(one,complement(X_617)),complement(X_617)) )],[refute_1_115,refute_1_121]) ).
cnf(refute_1_123,plain,
join(complement(X_617),composition(converse(one),complement(X_617))) = join(complement(X_617),composition(converse(one),complement(X_617))),
introduced(tautology,[refl,[$fot(join(complement(X_617),composition(converse(one),complement(X_617))))]]) ).
cnf(refute_1_124,plain,
( composition(converse(one),complement(X_617)) != complement(X_617)
| join(complement(X_617),composition(converse(one),complement(X_617))) != join(complement(X_617),composition(converse(one),complement(X_617)))
| join(complement(X_617),composition(converse(one),complement(X_617))) = join(complement(X_617),complement(X_617)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(X_617))),join(complement(X_617),composition(converse(one),complement(X_617)))) ),[1,1],$fot(complement(X_617))]]) ).
cnf(refute_1_125,plain,
( composition(converse(one),complement(X_617)) != complement(X_617)
| join(complement(X_617),composition(converse(one),complement(X_617))) = join(complement(X_617),complement(X_617)) ),
inference(resolve,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(X_617))),join(complement(X_617),composition(converse(one),complement(X_617)))) )],[refute_1_123,refute_1_124]) ).
cnf(refute_1_126,plain,
join(complement(X_617),composition(converse(one),complement(X_617))) = join(complement(X_617),complement(X_617)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_617)),complement(X_617)) )],[refute_1_122,refute_1_125]) ).
cnf(refute_1_127,plain,
( join(complement(X_617),composition(converse(one),complement(X_617))) != complement(X_617)
| join(complement(X_617),composition(converse(one),complement(X_617))) != join(complement(X_617),complement(X_617))
| join(complement(X_617),complement(X_617)) = complement(X_617) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(X_617))),complement(X_617)) ),[0],$fot(join(complement(X_617),complement(X_617)))]]) ).
cnf(refute_1_128,plain,
( join(complement(X_617),composition(converse(one),complement(X_617))) != complement(X_617)
| join(complement(X_617),complement(X_617)) = complement(X_617) ),
inference(resolve,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(X_617))),join(complement(X_617),complement(X_617))) )],[refute_1_126,refute_1_127]) ).
cnf(refute_1_129,plain,
join(complement(X_617),complement(X_617)) = complement(X_617),
inference(resolve,[$cnf( $equal(join(complement(X_617),composition(converse(one),complement(X_617))),complement(X_617)) )],[refute_1_112,refute_1_128]) ).
cnf(refute_1_130,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_1_129:[bind(X_617,$fot(X1))]]) ).
cnf(refute_1_131,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_1_132,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_1_130,refute_1_131]) ).
cnf(refute_1_133,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_1_68,refute_1_132]) ).
cnf(refute_1_134,plain,
meet(X_602,X_602) = complement(complement(X_602)),
inference(subst,[],[refute_1_133:[bind(X1,$fot(X_602))]]) ).
cnf(refute_1_135,plain,
( meet(X_602,X_602) != complement(complement(X_602))
| top != join(complement(X_602),join(complement(X_602),meet(X_602,X_602)))
| top = join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_602),join(complement(X_602),meet(X_602,X_602)))) ),[1,1,1],$fot(complement(complement(X_602)))]]) ).
cnf(refute_1_136,plain,
( top != join(complement(X_602),join(complement(X_602),meet(X_602,X_602)))
| top = join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) ),
inference(resolve,[$cnf( $equal(meet(X_602,X_602),complement(complement(X_602))) )],[refute_1_134,refute_1_135]) ).
cnf(refute_1_137,plain,
top = join(complement(X_602),join(complement(X_602),complement(complement(X_602)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_602),join(complement(X_602),meet(X_602,X_602)))) )],[refute_1_67,refute_1_136]) ).
cnf(refute_1_138,plain,
join(complement(X_602),top) = join(top,complement(X_602)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_602)))]]) ).
cnf(refute_1_139,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_1_140,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_1_48,refute_1_139]) ).
cnf(refute_1_141,plain,
join(complement(X_602),complement(complement(X_602))) = top,
inference(subst,[],[refute_1_140:[bind(X0,$fot(complement(X_602)))]]) ).
cnf(refute_1_142,plain,
join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(complement(X_602),join(complement(X_602),complement(complement(X_602)))),
introduced(tautology,[refl,[$fot(join(complement(X_602),join(complement(X_602),complement(complement(X_602)))))]]) ).
cnf(refute_1_143,plain,
( join(complement(X_602),complement(complement(X_602))) != top
| join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) != join(complement(X_602),join(complement(X_602),complement(complement(X_602))))
| join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(complement(X_602),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_602),join(complement(X_602),complement(complement(X_602)))),join(complement(X_602),join(complement(X_602),complement(complement(X_602))))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_144,plain,
( join(complement(X_602),complement(complement(X_602))) != top
| join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(complement(X_602),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(complement(X_602),complement(complement(X_602)))),join(complement(X_602),join(complement(X_602),complement(complement(X_602))))) )],[refute_1_142,refute_1_143]) ).
cnf(refute_1_145,plain,
join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(complement(X_602),top),
inference(resolve,[$cnf( $equal(join(complement(X_602),complement(complement(X_602))),top) )],[refute_1_141,refute_1_144]) ).
cnf(refute_1_146,plain,
( join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) != join(complement(X_602),top)
| join(complement(X_602),top) != join(top,complement(X_602))
| join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(top,complement(X_602)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_602),join(complement(X_602),complement(complement(X_602)))))),bind(Y,$fot(join(complement(X_602),top))),bind(Z,$fot(join(top,complement(X_602))))]]) ).
cnf(refute_1_147,plain,
( join(complement(X_602),top) != join(top,complement(X_602))
| join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(top,complement(X_602)) ),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(complement(X_602),complement(complement(X_602)))),join(complement(X_602),top)) )],[refute_1_145,refute_1_146]) ).
cnf(refute_1_148,plain,
join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) = join(top,complement(X_602)),
inference(resolve,[$cnf( $equal(join(complement(X_602),top),join(top,complement(X_602))) )],[refute_1_138,refute_1_147]) ).
cnf(refute_1_149,plain,
( join(complement(X_602),join(complement(X_602),complement(complement(X_602)))) != join(top,complement(X_602))
| top != join(complement(X_602),join(complement(X_602),complement(complement(X_602))))
| top = join(top,complement(X_602)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_602),join(complement(X_602),complement(complement(X_602))))) ),[1],$fot(join(top,complement(X_602)))]]) ).
cnf(refute_1_150,plain,
( top != join(complement(X_602),join(complement(X_602),complement(complement(X_602))))
| top = join(top,complement(X_602)) ),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(complement(X_602),complement(complement(X_602)))),join(top,complement(X_602))) )],[refute_1_148,refute_1_149]) ).
cnf(refute_1_151,plain,
top = join(top,complement(X_602)),
inference(resolve,[$cnf( $equal(top,join(complement(X_602),join(complement(X_602),complement(complement(X_602))))) )],[refute_1_137,refute_1_150]) ).
cnf(refute_1_152,plain,
top = join(top,complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_1_151:[bind(X_602,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_1_153,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| top != join(top,complement(join(complement(X0),complement(X1))))
| top = join(top,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_1_154,plain,
( top != join(top,complement(join(complement(X0),complement(X1))))
| top = join(top,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_14,refute_1_153]) ).
cnf(refute_1_155,plain,
top = join(top,meet(X0,X1)),
inference(resolve,[$cnf( $equal(top,join(top,complement(join(complement(X0),complement(X1))))) )],[refute_1_152,refute_1_154]) ).
cnf(refute_1_156,plain,
top = join(top,meet(X1,X1)),
inference(subst,[],[refute_1_155:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_157,plain,
X_675 = join(meet(X_675,complement(X_675)),complement(join(complement(X_675),complement(X_675)))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(complement(X_675)))]]) ).
cnf(refute_1_158,plain,
converse(composition(X_595,converse(X0))) = composition(converse(converse(X0)),converse(X_595)),
inference(subst,[],[refute_1_75:[bind(X0,$fot(X_595)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_159,plain,
( converse(composition(X_595,converse(X0))) != composition(converse(converse(X0)),converse(X_595))
| converse(converse(X0)) != X0
| converse(composition(X_595,converse(X0))) = composition(X0,converse(X_595)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_595,converse(X0))),composition(converse(converse(X0)),converse(X_595))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_160,plain,
( converse(composition(X_595,converse(X0))) != composition(converse(converse(X0)),converse(X_595))
| converse(composition(X_595,converse(X0))) = composition(X0,converse(X_595)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_159]) ).
cnf(refute_1_161,plain,
converse(composition(X_595,converse(X0))) = composition(X0,converse(X_595)),
inference(resolve,[$cnf( $equal(converse(composition(X_595,converse(X0))),composition(converse(converse(X0)),converse(X_595))) )],[refute_1_158,refute_1_160]) ).
cnf(refute_1_162,plain,
converse(composition(join(one,one),converse(X0))) = composition(X0,converse(join(one,one))),
inference(subst,[],[refute_1_161:[bind(X_595,$fot(join(one,one)))]]) ).
cnf(refute_1_163,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_164,plain,
composition(join(X_631,one),X_633) = join(composition(X_631,X_633),composition(one,X_633)),
inference(subst,[],[refute_1_163:[bind(X0,$fot(X_631)),bind(X1,$fot(one)),bind(X2,$fot(X_633))]]) ).
cnf(refute_1_165,plain,
X_633 = composition(one,X_633),
inference(subst,[],[refute_1_106:[bind(X_610,$fot(X_633))]]) ).
cnf(refute_1_166,plain,
( X_633 != composition(one,X_633)
| composition(one,X_633) = X_633 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_633)),bind(Y,$fot(composition(one,X_633)))]]) ).
cnf(refute_1_167,plain,
composition(one,X_633) = X_633,
inference(resolve,[$cnf( $equal(X_633,composition(one,X_633)) )],[refute_1_165,refute_1_166]) ).
cnf(refute_1_168,plain,
( composition(join(X_631,one),X_633) != join(composition(X_631,X_633),composition(one,X_633))
| composition(one,X_633) != X_633
| composition(join(X_631,one),X_633) = join(composition(X_631,X_633),X_633) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_631,one),X_633),join(composition(X_631,X_633),composition(one,X_633))) ),[1,1],$fot(X_633)]]) ).
cnf(refute_1_169,plain,
( composition(join(X_631,one),X_633) != join(composition(X_631,X_633),composition(one,X_633))
| composition(join(X_631,one),X_633) = join(composition(X_631,X_633),X_633) ),
inference(resolve,[$cnf( $equal(composition(one,X_633),X_633) )],[refute_1_167,refute_1_168]) ).
cnf(refute_1_170,plain,
composition(join(X_631,one),X_633) = join(composition(X_631,X_633),X_633),
inference(resolve,[$cnf( $equal(composition(join(X_631,one),X_633),join(composition(X_631,X_633),composition(one,X_633))) )],[refute_1_164,refute_1_169]) ).
cnf(refute_1_171,plain,
join(composition(X_631,X_633),X_633) = join(X_633,composition(X_631,X_633)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_633)),bind(X1,$fot(composition(X_631,X_633)))]]) ).
cnf(refute_1_172,plain,
( composition(join(X_631,one),X_633) != join(composition(X_631,X_633),X_633)
| join(composition(X_631,X_633),X_633) != join(X_633,composition(X_631,X_633))
| composition(join(X_631,one),X_633) = join(X_633,composition(X_631,X_633)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_631,one),X_633),join(X_633,composition(X_631,X_633))) ),[0],$fot(join(composition(X_631,X_633),X_633))]]) ).
cnf(refute_1_173,plain,
( composition(join(X_631,one),X_633) != join(composition(X_631,X_633),X_633)
| composition(join(X_631,one),X_633) = join(X_633,composition(X_631,X_633)) ),
inference(resolve,[$cnf( $equal(join(composition(X_631,X_633),X_633),join(X_633,composition(X_631,X_633))) )],[refute_1_171,refute_1_172]) ).
cnf(refute_1_174,plain,
composition(join(X_631,one),X_633) = join(X_633,composition(X_631,X_633)),
inference(resolve,[$cnf( $equal(composition(join(X_631,one),X_633),join(composition(X_631,X_633),X_633)) )],[refute_1_170,refute_1_173]) ).
cnf(refute_1_175,plain,
composition(join(one,one),X_635) = join(X_635,composition(one,X_635)),
inference(subst,[],[refute_1_174:[bind(X_631,$fot(one)),bind(X_633,$fot(X_635))]]) ).
cnf(refute_1_176,plain,
X_635 = composition(one,X_635),
inference(subst,[],[refute_1_106:[bind(X_610,$fot(X_635))]]) ).
cnf(refute_1_177,plain,
( X_635 != composition(one,X_635)
| composition(one,X_635) = X_635 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_635)),bind(Y,$fot(composition(one,X_635)))]]) ).
cnf(refute_1_178,plain,
composition(one,X_635) = X_635,
inference(resolve,[$cnf( $equal(X_635,composition(one,X_635)) )],[refute_1_176,refute_1_177]) ).
cnf(refute_1_179,plain,
( composition(join(one,one),X_635) != join(X_635,composition(one,X_635))
| composition(one,X_635) != X_635
| composition(join(one,one),X_635) = join(X_635,X_635) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_635),join(X_635,composition(one,X_635))) ),[1,1],$fot(X_635)]]) ).
cnf(refute_1_180,plain,
( composition(join(one,one),X_635) != join(X_635,composition(one,X_635))
| composition(join(one,one),X_635) = join(X_635,X_635) ),
inference(resolve,[$cnf( $equal(composition(one,X_635),X_635) )],[refute_1_178,refute_1_179]) ).
cnf(refute_1_181,plain,
composition(join(one,one),X_635) = join(X_635,X_635),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_635),join(X_635,composition(one,X_635))) )],[refute_1_175,refute_1_180]) ).
cnf(refute_1_182,plain,
composition(join(one,one),converse(X0)) = join(converse(X0),converse(X0)),
inference(subst,[],[refute_1_181:[bind(X_635,$fot(converse(X0)))]]) ).
cnf(refute_1_183,plain,
( composition(join(one,one),converse(X0)) != join(converse(X0),converse(X0))
| converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) ),[0,0],$fot(join(converse(X0),converse(X0)))]]) ).
cnf(refute_1_184,plain,
( converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X0)),join(converse(X0),converse(X0))) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_1_162,refute_1_184]) ).
cnf(refute_1_186,plain,
join(X0,converse(converse(X0))) = join(X0,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(X0))))]]) ).
cnf(refute_1_187,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) = join(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_188,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) )],[refute_1_186,refute_1_187]) ).
cnf(refute_1_189,plain,
join(X0,converse(converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_188]) ).
cnf(refute_1_190,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_191,plain,
converse(join(converse(X0),X_594)) = join(converse(converse(X0)),converse(X_594)),
inference(subst,[],[refute_1_190:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_594))]]) ).
cnf(refute_1_192,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_594)) != join(converse(converse(X0)),converse(X_594))
| converse(join(converse(X0),X_594)) = join(X0,converse(X_594)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_594)),join(converse(converse(X0)),converse(X_594))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_193,plain,
( converse(join(converse(X0),X_594)) != join(converse(converse(X0)),converse(X_594))
| converse(join(converse(X0),X_594)) = join(X0,converse(X_594)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_192]) ).
cnf(refute_1_194,plain,
converse(join(converse(X0),X_594)) = join(X0,converse(X_594)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_594)),join(converse(converse(X0)),converse(X_594))) )],[refute_1_191,refute_1_193]) ).
cnf(refute_1_195,plain,
converse(join(converse(X0),converse(X0))) = join(X0,converse(converse(X0))),
inference(subst,[],[refute_1_194:[bind(X_594,$fot(converse(X0)))]]) ).
cnf(refute_1_196,plain,
( converse(join(converse(X0),converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(X0),converse(X0))))),bind(Y,$fot(join(X0,converse(converse(X0))))),bind(Z,$fot(join(X0,X0)))]]) ).
cnf(refute_1_197,plain,
( join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,converse(converse(X0)))) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
converse(join(converse(X0),converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,X0)) )],[refute_1_189,refute_1_197]) ).
cnf(refute_1_199,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) != join(X0,X0)
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) ),[0],$fot(join(X0,X0))]]) ).
cnf(refute_1_200,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,X0)) )],[refute_1_198,refute_1_199]) ).
cnf(refute_1_201,plain,
converse(join(one,X1)) = join(converse(one),converse(X1)),
inference(subst,[],[refute_1_190:[bind(X0,$fot(one))]]) ).
cnf(refute_1_202,plain,
( converse(join(one,X1)) != join(converse(one),converse(X1))
| converse(one) != one
| converse(join(one,X1)) = join(one,converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,X1)),join(converse(one),converse(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_203,plain,
( converse(join(one,X1)) != join(converse(one),converse(X1))
| converse(join(one,X1)) = join(one,converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_202]) ).
cnf(refute_1_204,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(one,X1)),join(converse(one),converse(X1))) )],[refute_1_201,refute_1_203]) ).
cnf(refute_1_205,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_1_204:[bind(X1,$fot(one))]]) ).
cnf(refute_1_206,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_1_207,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_206]) ).
cnf(refute_1_208,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_1_205,refute_1_207]) ).
cnf(refute_1_209,plain,
composition(X0,converse(join(one,one))) = composition(X0,converse(join(one,one))),
introduced(tautology,[refl,[$fot(composition(X0,converse(join(one,one))))]]) ).
cnf(refute_1_210,plain,
( composition(X0,converse(join(one,one))) != composition(X0,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_1_211,plain,
( converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) )],[refute_1_209,refute_1_210]) ).
cnf(refute_1_212,plain,
composition(X0,converse(join(one,one))) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_1_208,refute_1_211]) ).
cnf(refute_1_213,plain,
( composition(X0,converse(join(one,one))) != composition(X0,join(one,one))
| join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) ),[1],$fot(composition(X0,join(one,one)))]]) ).
cnf(refute_1_214,plain,
( join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,join(one,one))) )],[refute_1_212,refute_1_213]) ).
cnf(refute_1_215,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) )],[refute_1_200,refute_1_214]) ).
cnf(refute_1_216,plain,
join(X0,X0) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_1_185,refute_1_215]) ).
cnf(refute_1_217,plain,
join(complement(X_675),complement(X_675)) = composition(complement(X_675),join(one,one)),
inference(subst,[],[refute_1_216:[bind(X0,$fot(complement(X_675)))]]) ).
cnf(refute_1_218,plain,
( X_675 != join(meet(X_675,complement(X_675)),complement(join(complement(X_675),complement(X_675))))
| join(complement(X_675),complement(X_675)) != composition(complement(X_675),join(one,one))
| X_675 = join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,complement(X_675)),complement(join(complement(X_675),complement(X_675))))) ),[1,1,0],$fot(composition(complement(X_675),join(one,one)))]]) ).
cnf(refute_1_219,plain,
( X_675 != join(meet(X_675,complement(X_675)),complement(join(complement(X_675),complement(X_675))))
| X_675 = join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),complement(X_675)),composition(complement(X_675),join(one,one))) )],[refute_1_217,refute_1_218]) ).
cnf(refute_1_220,plain,
X_675 = join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(X_675)),complement(join(complement(X_675),complement(X_675))))) )],[refute_1_157,refute_1_219]) ).
cnf(refute_1_221,plain,
composition(join(one,one),complement(X_638)) = join(composition(one,complement(X_638)),composition(one,complement(X_638))),
inference(subst,[],[refute_1_163:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(complement(X_638)))]]) ).
cnf(refute_1_222,plain,
composition(join(one,one),complement(X_617)) = join(complement(X_617),complement(X_617)),
inference(subst,[],[refute_1_181:[bind(X_635,$fot(complement(X_617)))]]) ).
cnf(refute_1_223,plain,
( composition(join(one,one),complement(X_617)) != join(complement(X_617),complement(X_617))
| join(complement(X_617),complement(X_617)) = composition(join(one,one),complement(X_617)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(one,one),complement(X_617)))),bind(Y,$fot(join(complement(X_617),complement(X_617))))]]) ).
cnf(refute_1_224,plain,
join(complement(X_617),complement(X_617)) = composition(join(one,one),complement(X_617)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_617)),join(complement(X_617),complement(X_617))) )],[refute_1_222,refute_1_223]) ).
cnf(refute_1_225,plain,
( join(complement(X_617),complement(X_617)) != complement(X_617)
| join(complement(X_617),complement(X_617)) != composition(join(one,one),complement(X_617))
| composition(join(one,one),complement(X_617)) = complement(X_617) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_617),complement(X_617)),complement(X_617)) ),[0],$fot(composition(join(one,one),complement(X_617)))]]) ).
cnf(refute_1_226,plain,
( join(complement(X_617),complement(X_617)) != complement(X_617)
| composition(join(one,one),complement(X_617)) = complement(X_617) ),
inference(resolve,[$cnf( $equal(join(complement(X_617),complement(X_617)),composition(join(one,one),complement(X_617))) )],[refute_1_224,refute_1_225]) ).
cnf(refute_1_227,plain,
composition(join(one,one),complement(X_617)) = complement(X_617),
inference(resolve,[$cnf( $equal(join(complement(X_617),complement(X_617)),complement(X_617)) )],[refute_1_129,refute_1_226]) ).
cnf(refute_1_228,plain,
composition(join(one,one),complement(X_638)) = complement(X_638),
inference(subst,[],[refute_1_227:[bind(X_617,$fot(X_638))]]) ).
cnf(refute_1_229,plain,
( composition(join(one,one),complement(X_638)) != complement(X_638)
| composition(join(one,one),complement(X_638)) != join(composition(one,complement(X_638)),composition(one,complement(X_638)))
| complement(X_638) = join(composition(one,complement(X_638)),composition(one,complement(X_638))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(X_638)),join(composition(one,complement(X_638)),composition(one,complement(X_638)))) ),[0],$fot(complement(X_638))]]) ).
cnf(refute_1_230,plain,
( composition(join(one,one),complement(X_638)) != join(composition(one,complement(X_638)),composition(one,complement(X_638)))
| complement(X_638) = join(composition(one,complement(X_638)),composition(one,complement(X_638))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_638)),complement(X_638)) )],[refute_1_228,refute_1_229]) ).
cnf(refute_1_231,plain,
complement(X_638) = join(composition(one,complement(X_638)),composition(one,complement(X_638))),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_638)),join(composition(one,complement(X_638)),composition(one,complement(X_638)))) )],[refute_1_221,refute_1_230]) ).
cnf(refute_1_232,plain,
composition(one,composition(complement(X_638),join(one,one))) = composition(complement(X_638),join(one,one)),
inference(subst,[],[refute_1_114:[bind(X_610,$fot(composition(complement(X_638),join(one,one))))]]) ).
cnf(refute_1_233,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_234,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_1_235,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_1_233,refute_1_234]) ).
cnf(refute_1_236,plain,
composition(composition(one,complement(X_638)),join(one,one)) = composition(one,composition(complement(X_638),join(one,one))),
inference(subst,[],[refute_1_235:[bind(X0,$fot(one)),bind(X1,$fot(complement(X_638))),bind(X2,$fot(join(one,one)))]]) ).
cnf(refute_1_237,plain,
( composition(composition(one,complement(X_638)),join(one,one)) != composition(one,composition(complement(X_638),join(one,one)))
| composition(one,composition(complement(X_638),join(one,one))) != composition(complement(X_638),join(one,one))
| composition(composition(one,complement(X_638)),join(one,one)) = composition(complement(X_638),join(one,one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(composition(one,complement(X_638)),join(one,one)))),bind(Y,$fot(composition(one,composition(complement(X_638),join(one,one))))),bind(Z,$fot(composition(complement(X_638),join(one,one))))]]) ).
cnf(refute_1_238,plain,
( composition(one,composition(complement(X_638),join(one,one))) != composition(complement(X_638),join(one,one))
| composition(composition(one,complement(X_638)),join(one,one)) = composition(complement(X_638),join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(composition(one,complement(X_638)),join(one,one)),composition(one,composition(complement(X_638),join(one,one)))) )],[refute_1_236,refute_1_237]) ).
cnf(refute_1_239,plain,
composition(composition(one,complement(X_638)),join(one,one)) = composition(complement(X_638),join(one,one)),
inference(resolve,[$cnf( $equal(composition(one,composition(complement(X_638),join(one,one))),composition(complement(X_638),join(one,one))) )],[refute_1_232,refute_1_238]) ).
cnf(refute_1_240,plain,
join(composition(one,complement(X_638)),composition(one,complement(X_638))) = composition(composition(one,complement(X_638)),join(one,one)),
inference(subst,[],[refute_1_216:[bind(X0,$fot(composition(one,complement(X_638))))]]) ).
cnf(refute_1_241,plain,
( composition(composition(one,complement(X_638)),join(one,one)) != composition(complement(X_638),join(one,one))
| join(composition(one,complement(X_638)),composition(one,complement(X_638))) != composition(composition(one,complement(X_638)),join(one,one))
| join(composition(one,complement(X_638)),composition(one,complement(X_638))) = composition(complement(X_638),join(one,one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(one,complement(X_638)),composition(one,complement(X_638))))),bind(Y,$fot(composition(composition(one,complement(X_638)),join(one,one)))),bind(Z,$fot(composition(complement(X_638),join(one,one))))]]) ).
cnf(refute_1_242,plain,
( composition(composition(one,complement(X_638)),join(one,one)) != composition(complement(X_638),join(one,one))
| join(composition(one,complement(X_638)),composition(one,complement(X_638))) = composition(complement(X_638),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(composition(one,complement(X_638)),composition(one,complement(X_638))),composition(composition(one,complement(X_638)),join(one,one))) )],[refute_1_240,refute_1_241]) ).
cnf(refute_1_243,plain,
join(composition(one,complement(X_638)),composition(one,complement(X_638))) = composition(complement(X_638),join(one,one)),
inference(resolve,[$cnf( $equal(composition(composition(one,complement(X_638)),join(one,one)),composition(complement(X_638),join(one,one))) )],[refute_1_239,refute_1_242]) ).
cnf(refute_1_244,plain,
( complement(X_638) != join(composition(one,complement(X_638)),composition(one,complement(X_638)))
| join(composition(one,complement(X_638)),composition(one,complement(X_638))) != composition(complement(X_638),join(one,one))
| complement(X_638) = composition(complement(X_638),join(one,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_638),composition(complement(X_638),join(one,one))) ),[0],$fot(join(composition(one,complement(X_638)),composition(one,complement(X_638))))]]) ).
cnf(refute_1_245,plain,
( complement(X_638) != join(composition(one,complement(X_638)),composition(one,complement(X_638)))
| complement(X_638) = composition(complement(X_638),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(composition(one,complement(X_638)),composition(one,complement(X_638))),composition(complement(X_638),join(one,one))) )],[refute_1_243,refute_1_244]) ).
cnf(refute_1_246,plain,
complement(X_638) = composition(complement(X_638),join(one,one)),
inference(resolve,[$cnf( $equal(complement(X_638),join(composition(one,complement(X_638)),composition(one,complement(X_638)))) )],[refute_1_231,refute_1_245]) ).
cnf(refute_1_247,plain,
( complement(X_638) != composition(complement(X_638),join(one,one))
| composition(complement(X_638),join(one,one)) = complement(X_638) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_638))),bind(Y,$fot(composition(complement(X_638),join(one,one))))]]) ).
cnf(refute_1_248,plain,
composition(complement(X_638),join(one,one)) = complement(X_638),
inference(resolve,[$cnf( $equal(complement(X_638),composition(complement(X_638),join(one,one))) )],[refute_1_246,refute_1_247]) ).
cnf(refute_1_249,plain,
composition(complement(X_675),join(one,one)) = complement(X_675),
inference(subst,[],[refute_1_248:[bind(X_638,$fot(X_675))]]) ).
cnf(refute_1_250,plain,
complement(composition(complement(X_675),join(one,one))) = complement(composition(complement(X_675),join(one,one))),
introduced(tautology,[refl,[$fot(complement(composition(complement(X_675),join(one,one))))]]) ).
cnf(refute_1_251,plain,
( complement(composition(complement(X_675),join(one,one))) != complement(composition(complement(X_675),join(one,one)))
| composition(complement(X_675),join(one,one)) != complement(X_675)
| complement(composition(complement(X_675),join(one,one))) = complement(complement(X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(X_675),join(one,one))),complement(composition(complement(X_675),join(one,one)))) ),[1,0],$fot(complement(X_675))]]) ).
cnf(refute_1_252,plain,
( composition(complement(X_675),join(one,one)) != complement(X_675)
| complement(composition(complement(X_675),join(one,one))) = complement(complement(X_675)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_675),join(one,one))),complement(composition(complement(X_675),join(one,one)))) )],[refute_1_250,refute_1_251]) ).
cnf(refute_1_253,plain,
complement(composition(complement(X_675),join(one,one))) = complement(complement(X_675)),
inference(resolve,[$cnf( $equal(composition(complement(X_675),join(one,one)),complement(X_675)) )],[refute_1_249,refute_1_252]) ).
cnf(refute_1_254,plain,
join(zero,complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(composition(complement(X_675),join(one,one)))),
introduced(tautology,[refl,[$fot(join(zero,complement(composition(complement(X_675),join(one,one)))))]]) ).
cnf(refute_1_255,plain,
( complement(composition(complement(X_675),join(one,one))) != complement(complement(X_675))
| join(zero,complement(composition(complement(X_675),join(one,one)))) != join(zero,complement(composition(complement(X_675),join(one,one))))
| join(zero,complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(complement(X_675))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(composition(complement(X_675),join(one,one)))),join(zero,complement(composition(complement(X_675),join(one,one))))) ),[1,1],$fot(complement(complement(X_675)))]]) ).
cnf(refute_1_256,plain,
( complement(composition(complement(X_675),join(one,one))) != complement(complement(X_675))
| join(zero,complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(complement(X_675))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_675),join(one,one)))),join(zero,complement(composition(complement(X_675),join(one,one))))) )],[refute_1_254,refute_1_255]) ).
cnf(refute_1_257,plain,
join(zero,complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(complement(X_675))),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_675),join(one,one))),complement(complement(X_675))) )],[refute_1_253,refute_1_256]) ).
cnf(refute_1_258,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_259,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_1_260,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_1_258,refute_1_259]) ).
cnf(refute_1_261,plain,
meet(X_675,complement(X_675)) = zero,
inference(subst,[],[refute_1_260:[bind(X0,$fot(X_675))]]) ).
cnf(refute_1_262,plain,
join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))),
introduced(tautology,[refl,[$fot(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))))]]) ).
cnf(refute_1_263,plain,
( join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) != join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one))))
| meet(X_675,complement(X_675)) != zero
| join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(composition(complement(X_675),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))),join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_264,plain,
( meet(X_675,complement(X_675)) != zero
| join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(composition(complement(X_675),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))),join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one))))) )],[refute_1_262,refute_1_263]) ).
cnf(refute_1_265,plain,
join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(composition(complement(X_675),join(one,one)))),
inference(resolve,[$cnf( $equal(meet(X_675,complement(X_675)),zero) )],[refute_1_261,refute_1_264]) ).
cnf(refute_1_266,plain,
( join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) != join(zero,complement(composition(complement(X_675),join(one,one))))
| join(zero,complement(composition(complement(X_675),join(one,one)))) != join(zero,complement(complement(X_675)))
| join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(complement(X_675))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))))),bind(Y,$fot(join(zero,complement(composition(complement(X_675),join(one,one)))))),bind(Z,$fot(join(zero,complement(complement(X_675)))))]]) ).
cnf(refute_1_267,plain,
( join(zero,complement(composition(complement(X_675),join(one,one)))) != join(zero,complement(complement(X_675)))
| join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(complement(X_675))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))),join(zero,complement(composition(complement(X_675),join(one,one))))) )],[refute_1_265,refute_1_266]) ).
cnf(refute_1_268,plain,
join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) = join(zero,complement(complement(X_675))),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_675),join(one,one)))),join(zero,complement(complement(X_675)))) )],[refute_1_257,refute_1_267]) ).
cnf(refute_1_269,plain,
( X_675 != join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one))))
| join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))) != join(zero,complement(complement(X_675)))
| X_675 = join(zero,complement(complement(X_675))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(zero,complement(complement(X_675)))) ),[0],$fot(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))))]]) ).
cnf(refute_1_270,plain,
( X_675 != join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one))))
| X_675 = join(zero,complement(complement(X_675))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one)))),join(zero,complement(complement(X_675)))) )],[refute_1_268,refute_1_269]) ).
cnf(refute_1_271,plain,
X_675 = join(zero,complement(complement(X_675))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(X_675)),complement(composition(complement(X_675),join(one,one))))) )],[refute_1_220,refute_1_270]) ).
cnf(refute_1_272,plain,
X_675 = join(meet(X_675,top),complement(join(complement(X_675),top))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(top))]]) ).
cnf(refute_1_273,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_1_12:[bind(X1,$fot(top))]]) ).
cnf(refute_1_274,plain,
zero = meet(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602)))),
inference(subst,[],[refute_1_258:[bind(X0,$fot(join(complement(X_601),complement(X_602))))]]) ).
cnf(refute_1_275,plain,
( complement(join(complement(X_601),complement(X_602))) != meet(X_601,X_602)
| zero != meet(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))
| zero = meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))) ),[1,1],$fot(meet(X_601,X_602))]]) ).
cnf(refute_1_276,plain,
( zero != meet(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))
| zero = meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_601),complement(X_602))),meet(X_601,X_602)) )],[refute_1_57,refute_1_275]) ).
cnf(refute_1_277,plain,
zero = meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_601),complement(X_602)),complement(join(complement(X_601),complement(X_602))))) )],[refute_1_274,refute_1_276]) ).
cnf(refute_1_278,plain,
join(meet(X_601,X_602),complement(meet(X_601,X_602))) = top,
inference(subst,[],[refute_1_140:[bind(X0,$fot(meet(X_601,X_602)))]]) ).
cnf(refute_1_279,plain,
complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) = complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))))]]) ).
cnf(refute_1_280,plain,
( complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) != complement(join(meet(X_601,X_602),complement(meet(X_601,X_602))))
| join(meet(X_601,X_602),complement(meet(X_601,X_602))) != top
| complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))),complement(join(meet(X_601,X_602),complement(meet(X_601,X_602))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_281,plain,
( join(meet(X_601,X_602),complement(meet(X_601,X_602))) != top
| complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))),complement(join(meet(X_601,X_602),complement(meet(X_601,X_602))))) )],[refute_1_279,refute_1_280]) ).
cnf(refute_1_282,plain,
complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_601,X_602),complement(meet(X_601,X_602))),top) )],[refute_1_278,refute_1_281]) ).
cnf(refute_1_283,plain,
meet(join(complement(X_601),complement(X_602)),X1) = complement(join(complement(join(complement(X_601),complement(X_602))),complement(X1))),
inference(subst,[],[refute_1_12:[bind(X0,$fot(join(complement(X_601),complement(X_602))))]]) ).
cnf(refute_1_284,plain,
( complement(join(complement(X_601),complement(X_602))) != meet(X_601,X_602)
| meet(join(complement(X_601),complement(X_602)),X1) != complement(join(complement(join(complement(X_601),complement(X_602))),complement(X1)))
| meet(join(complement(X_601),complement(X_602)),X1) = complement(join(meet(X_601,X_602),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),complement(join(complement(join(complement(X_601),complement(X_602))),complement(X1)))) ),[1,0,0],$fot(meet(X_601,X_602))]]) ).
cnf(refute_1_285,plain,
( meet(join(complement(X_601),complement(X_602)),X1) != complement(join(complement(join(complement(X_601),complement(X_602))),complement(X1)))
| meet(join(complement(X_601),complement(X_602)),X1) = complement(join(meet(X_601,X_602),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_601),complement(X_602))),meet(X_601,X_602)) )],[refute_1_57,refute_1_284]) ).
cnf(refute_1_286,plain,
meet(join(complement(X_601),complement(X_602)),X1) = complement(join(meet(X_601,X_602),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),complement(join(complement(join(complement(X_601),complement(X_602))),complement(X1)))) )],[refute_1_283,refute_1_285]) ).
cnf(refute_1_287,plain,
meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) = complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))),
inference(subst,[],[refute_1_286:[bind(X1,$fot(meet(X_601,X_602)))]]) ).
cnf(refute_1_288,plain,
( complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) != complement(top)
| meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) != complement(join(meet(X_601,X_602),complement(meet(X_601,X_602))))
| meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) = complement(top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)))),bind(Y,$fot(complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_1_289,plain,
( complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))) != complement(top)
| meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)),complement(join(meet(X_601,X_602),complement(meet(X_601,X_602))))) )],[refute_1_287,refute_1_288]) ).
cnf(refute_1_290,plain,
meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_601,X_602),complement(meet(X_601,X_602)))),complement(top)) )],[refute_1_282,refute_1_289]) ).
cnf(refute_1_291,plain,
( meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)) != complement(top)
| zero != meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602))) ),[1],$fot(complement(top))]]) ).
cnf(refute_1_292,plain,
( zero != meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602)),complement(top)) )],[refute_1_290,refute_1_291]) ).
cnf(refute_1_293,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_601),complement(X_602)),meet(X_601,X_602))) )],[refute_1_277,refute_1_292]) ).
cnf(refute_1_294,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_1_295,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_1_293,refute_1_294]) ).
cnf(refute_1_296,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_1_297,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_296]) ).
cnf(refute_1_298,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_1_273,refute_1_297]) ).
cnf(refute_1_299,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_1_12:[bind(X0,$fot(top))]]) ).
cnf(refute_1_300,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_1_301,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_300]) ).
cnf(refute_1_302,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_1_299,refute_1_301]) ).
cnf(refute_1_303,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_1_304,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_1_302,refute_1_303]) ).
cnf(refute_1_305,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_1_304:[bind(X1,$fot(X0))]]) ).
cnf(refute_1_306,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_1_307,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_1_308,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_1_309,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_1_307,refute_1_308]) ).
cnf(refute_1_310,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_1_306,refute_1_309]) ).
cnf(refute_1_311,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_1_312,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_1_310,refute_1_311]) ).
cnf(refute_1_313,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_1_305,refute_1_312]) ).
cnf(refute_1_314,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_1_315,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_1_313,refute_1_314]) ).
cnf(refute_1_316,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_1_298,refute_1_315]) ).
cnf(refute_1_317,plain,
meet(X_675,top) = meet(top,X_675),
inference(subst,[],[refute_1_316:[bind(X0,$fot(X_675))]]) ).
cnf(refute_1_318,plain,
( X_675 != join(meet(X_675,top),complement(join(complement(X_675),top)))
| meet(X_675,top) != meet(top,X_675)
| X_675 = join(meet(top,X_675),complement(join(complement(X_675),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,top),complement(join(complement(X_675),top)))) ),[1,0],$fot(meet(top,X_675))]]) ).
cnf(refute_1_319,plain,
( X_675 != join(meet(X_675,top),complement(join(complement(X_675),top)))
| X_675 = join(meet(top,X_675),complement(join(complement(X_675),top))) ),
inference(resolve,[$cnf( $equal(meet(X_675,top),meet(top,X_675)) )],[refute_1_317,refute_1_318]) ).
cnf(refute_1_320,plain,
X_675 = join(meet(top,X_675),complement(join(complement(X_675),top))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,top),complement(join(complement(X_675),top)))) )],[refute_1_272,refute_1_319]) ).
cnf(refute_1_321,plain,
join(meet(top,X_675),zero) = join(zero,meet(top,X_675)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_675)))]]) ).
cnf(refute_1_322,plain,
( top != join(top,complement(X_602))
| join(top,complement(X_602)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_602))))]]) ).
cnf(refute_1_323,plain,
join(top,complement(X_602)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_602))) )],[refute_1_151,refute_1_322]) ).
cnf(refute_1_324,plain,
join(top,complement(X_675)) = top,
inference(subst,[],[refute_1_323:[bind(X_602,$fot(X_675))]]) ).
cnf(refute_1_325,plain,
join(complement(X_675),top) = join(top,complement(X_675)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_675)))]]) ).
cnf(refute_1_326,plain,
( join(complement(X_675),top) != join(top,complement(X_675))
| join(top,complement(X_675)) != top
| join(complement(X_675),top) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_675),top))),bind(Y,$fot(join(top,complement(X_675)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_327,plain,
( join(top,complement(X_675)) != top
| join(complement(X_675),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_675),top),join(top,complement(X_675))) )],[refute_1_325,refute_1_326]) ).
cnf(refute_1_328,plain,
join(complement(X_675),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X_675)),top) )],[refute_1_324,refute_1_327]) ).
cnf(refute_1_329,plain,
complement(join(complement(X_675),top)) = complement(join(complement(X_675),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_675),top)))]]) ).
cnf(refute_1_330,plain,
( complement(join(complement(X_675),top)) != complement(join(complement(X_675),top))
| join(complement(X_675),top) != top
| complement(join(complement(X_675),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_675),top)),complement(join(complement(X_675),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_331,plain,
( join(complement(X_675),top) != top
| complement(join(complement(X_675),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_675),top)),complement(join(complement(X_675),top))) )],[refute_1_329,refute_1_330]) ).
cnf(refute_1_332,plain,
complement(join(complement(X_675),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X_675),top),top) )],[refute_1_328,refute_1_331]) ).
cnf(refute_1_333,plain,
( complement(join(complement(X_675),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X_675),top)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(X_675),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_334,plain,
( complement(top) != zero
| complement(join(complement(X_675),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_675),top)),complement(top)) )],[refute_1_332,refute_1_333]) ).
cnf(refute_1_335,plain,
complement(join(complement(X_675),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_334]) ).
cnf(refute_1_336,plain,
join(meet(top,X_675),complement(join(complement(X_675),top))) = join(meet(top,X_675),complement(join(complement(X_675),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_675),complement(join(complement(X_675),top))))]]) ).
cnf(refute_1_337,plain,
( complement(join(complement(X_675),top)) != zero
| join(meet(top,X_675),complement(join(complement(X_675),top))) != join(meet(top,X_675),complement(join(complement(X_675),top)))
| join(meet(top,X_675),complement(join(complement(X_675),top))) = join(meet(top,X_675),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_675),complement(join(complement(X_675),top))),join(meet(top,X_675),complement(join(complement(X_675),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_338,plain,
( complement(join(complement(X_675),top)) != zero
| join(meet(top,X_675),complement(join(complement(X_675),top))) = join(meet(top,X_675),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_675),complement(join(complement(X_675),top))),join(meet(top,X_675),complement(join(complement(X_675),top)))) )],[refute_1_336,refute_1_337]) ).
cnf(refute_1_339,plain,
join(meet(top,X_675),complement(join(complement(X_675),top))) = join(meet(top,X_675),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X_675),top)),zero) )],[refute_1_335,refute_1_338]) ).
cnf(refute_1_340,plain,
( join(meet(top,X_675),complement(join(complement(X_675),top))) != join(meet(top,X_675),zero)
| join(meet(top,X_675),zero) != join(zero,meet(top,X_675))
| join(meet(top,X_675),complement(join(complement(X_675),top))) = join(zero,meet(top,X_675)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(top,X_675),complement(join(complement(X_675),top))))),bind(Y,$fot(join(meet(top,X_675),zero))),bind(Z,$fot(join(zero,meet(top,X_675))))]]) ).
cnf(refute_1_341,plain,
( join(meet(top,X_675),zero) != join(zero,meet(top,X_675))
| join(meet(top,X_675),complement(join(complement(X_675),top))) = join(zero,meet(top,X_675)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_675),complement(join(complement(X_675),top))),join(meet(top,X_675),zero)) )],[refute_1_339,refute_1_340]) ).
cnf(refute_1_342,plain,
join(meet(top,X_675),complement(join(complement(X_675),top))) = join(zero,meet(top,X_675)),
inference(resolve,[$cnf( $equal(join(meet(top,X_675),zero),join(zero,meet(top,X_675))) )],[refute_1_321,refute_1_341]) ).
cnf(refute_1_343,plain,
( X_675 != join(meet(top,X_675),complement(join(complement(X_675),top)))
| join(meet(top,X_675),complement(join(complement(X_675),top))) != join(zero,meet(top,X_675))
| X_675 = join(zero,meet(top,X_675)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(zero,meet(top,X_675))) ),[0],$fot(join(meet(top,X_675),complement(join(complement(X_675),top))))]]) ).
cnf(refute_1_344,plain,
( X_675 != join(meet(top,X_675),complement(join(complement(X_675),top)))
| X_675 = join(zero,meet(top,X_675)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_675),complement(join(complement(X_675),top))),join(zero,meet(top,X_675))) )],[refute_1_342,refute_1_343]) ).
cnf(refute_1_345,plain,
X_675 = join(zero,meet(top,X_675)),
inference(resolve,[$cnf( $equal(X_675,join(meet(top,X_675),complement(join(complement(X_675),top)))) )],[refute_1_320,refute_1_344]) ).
cnf(refute_1_346,plain,
complement(X_682) = join(zero,meet(top,complement(X_682))),
inference(subst,[],[refute_1_345:[bind(X_675,$fot(complement(X_682)))]]) ).
cnf(refute_1_347,plain,
meet(top,complement(X_681)) = complement(join(zero,complement(complement(X_681)))),
inference(subst,[],[refute_1_302:[bind(X1,$fot(complement(X_681)))]]) ).
cnf(refute_1_348,plain,
X_681 = join(zero,complement(complement(X_681))),
inference(subst,[],[refute_1_271:[bind(X_675,$fot(X_681))]]) ).
cnf(refute_1_349,plain,
( X_681 != join(zero,complement(complement(X_681)))
| join(zero,complement(complement(X_681))) = X_681 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_681)),bind(Y,$fot(join(zero,complement(complement(X_681)))))]]) ).
cnf(refute_1_350,plain,
join(zero,complement(complement(X_681))) = X_681,
inference(resolve,[$cnf( $equal(X_681,join(zero,complement(complement(X_681)))) )],[refute_1_348,refute_1_349]) ).
cnf(refute_1_351,plain,
( join(zero,complement(complement(X_681))) != X_681
| meet(top,complement(X_681)) != complement(join(zero,complement(complement(X_681))))
| meet(top,complement(X_681)) = complement(X_681) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_681)),complement(join(zero,complement(complement(X_681))))) ),[1,0],$fot(X_681)]]) ).
cnf(refute_1_352,plain,
( meet(top,complement(X_681)) != complement(join(zero,complement(complement(X_681))))
| meet(top,complement(X_681)) = complement(X_681) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_681))),X_681) )],[refute_1_350,refute_1_351]) ).
cnf(refute_1_353,plain,
meet(top,complement(X_681)) = complement(X_681),
inference(resolve,[$cnf( $equal(meet(top,complement(X_681)),complement(join(zero,complement(complement(X_681))))) )],[refute_1_347,refute_1_352]) ).
cnf(refute_1_354,plain,
meet(top,complement(X_682)) = complement(X_682),
inference(subst,[],[refute_1_353:[bind(X_681,$fot(X_682))]]) ).
cnf(refute_1_355,plain,
( complement(X_682) != join(zero,meet(top,complement(X_682)))
| meet(top,complement(X_682)) != complement(X_682)
| complement(X_682) = join(zero,complement(X_682)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_682),join(zero,meet(top,complement(X_682)))) ),[1,1],$fot(complement(X_682))]]) ).
cnf(refute_1_356,plain,
( complement(X_682) != join(zero,meet(top,complement(X_682)))
| complement(X_682) = join(zero,complement(X_682)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_682)),complement(X_682)) )],[refute_1_354,refute_1_355]) ).
cnf(refute_1_357,plain,
complement(X_682) = join(zero,complement(X_682)),
inference(resolve,[$cnf( $equal(complement(X_682),join(zero,meet(top,complement(X_682)))) )],[refute_1_346,refute_1_356]) ).
cnf(refute_1_358,plain,
( complement(X_682) != join(zero,complement(X_682))
| join(zero,complement(X_682)) = complement(X_682) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_682))),bind(Y,$fot(join(zero,complement(X_682))))]]) ).
cnf(refute_1_359,plain,
join(zero,complement(X_682)) = complement(X_682),
inference(resolve,[$cnf( $equal(complement(X_682),join(zero,complement(X_682))) )],[refute_1_357,refute_1_358]) ).
cnf(refute_1_360,plain,
join(zero,complement(complement(X_675))) = complement(complement(X_675)),
inference(subst,[],[refute_1_359:[bind(X_682,$fot(complement(X_675)))]]) ).
cnf(refute_1_361,plain,
( X_675 != join(zero,complement(complement(X_675)))
| join(zero,complement(complement(X_675))) != complement(complement(X_675))
| X_675 = complement(complement(X_675)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,complement(complement(X_675))) ),[0],$fot(join(zero,complement(complement(X_675))))]]) ).
cnf(refute_1_362,plain,
( X_675 != join(zero,complement(complement(X_675)))
| X_675 = complement(complement(X_675)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_675))),complement(complement(X_675))) )],[refute_1_360,refute_1_361]) ).
cnf(refute_1_363,plain,
X_675 = complement(complement(X_675)),
inference(resolve,[$cnf( $equal(X_675,join(zero,complement(complement(X_675)))) )],[refute_1_271,refute_1_362]) ).
cnf(refute_1_364,plain,
( X_675 != complement(complement(X_675))
| complement(complement(X_675)) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(complement(complement(X_675))))]]) ).
cnf(refute_1_365,plain,
complement(complement(X_675)) = X_675,
inference(resolve,[$cnf( $equal(X_675,complement(complement(X_675))) )],[refute_1_363,refute_1_364]) ).
cnf(refute_1_366,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(X1))]]) ).
cnf(refute_1_367,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_1_368,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_1_366,refute_1_367]) ).
cnf(refute_1_369,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_1_133,refute_1_368]) ).
cnf(refute_1_370,plain,
( meet(X1,X1) != X1
| top != join(top,meet(X1,X1))
| top = join(top,X1) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,meet(X1,X1))) ),[1,1],$fot(X1)]]) ).
cnf(refute_1_371,plain,
( top != join(top,meet(X1,X1))
| top = join(top,X1) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_1_369,refute_1_370]) ).
cnf(refute_1_372,plain,
top = join(top,X1),
inference(resolve,[$cnf( $equal(top,join(top,meet(X1,X1))) )],[refute_1_156,refute_1_371]) ).
cnf(refute_1_373,plain,
( top != join(top,X1)
| join(top,X1) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X1)))]]) ).
cnf(refute_1_374,plain,
join(top,X1) = top,
inference(resolve,[$cnf( $equal(top,join(top,X1)) )],[refute_1_372,refute_1_373]) ).
cnf(refute_1_375,plain,
join(top,X_729) = top,
inference(subst,[],[refute_1_374:[bind(X1,$fot(X_729))]]) ).
cnf(refute_1_376,plain,
( join(X_727,join(complement(X_727),X_729)) != join(top,X_729)
| join(top,X_729) != top
| join(X_727,join(complement(X_727),X_729)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_727,join(complement(X_727),X_729)),top) ),[0],$fot(join(top,X_729))]]) ).
cnf(refute_1_377,plain,
( join(X_727,join(complement(X_727),X_729)) != join(top,X_729)
| join(X_727,join(complement(X_727),X_729)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_729),top) )],[refute_1_375,refute_1_376]) ).
cnf(refute_1_378,plain,
join(X_727,join(complement(X_727),X_729)) = top,
inference(resolve,[$cnf( $equal(join(X_727,join(complement(X_727),X_729)),join(top,X_729)) )],[refute_1_54,refute_1_377]) ).
cnf(refute_1_379,plain,
join(complement(X_675),join(complement(complement(X_675)),X_732)) = top,
inference(subst,[],[refute_1_378:[bind(X_727,$fot(complement(X_675))),bind(X_729,$fot(X_732))]]) ).
cnf(refute_1_380,plain,
( X_675 != join(meet(join(complement(complement(X_675)),X_732),X_675),complement(join(complement(X_675),join(complement(complement(X_675)),X_732))))
| join(complement(X_675),join(complement(complement(X_675)),X_732)) != top
| X_675 = join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(join(complement(complement(X_675)),X_732),X_675),complement(join(complement(X_675),join(complement(complement(X_675)),X_732))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_381,plain,
( X_675 != join(meet(join(complement(complement(X_675)),X_732),X_675),complement(join(complement(X_675),join(complement(complement(X_675)),X_732))))
| X_675 = join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(complement(complement(X_675)),X_732)),top) )],[refute_1_379,refute_1_380]) ).
cnf(refute_1_382,plain,
X_675 = join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)),
inference(resolve,[$cnf( $equal(X_675,join(meet(join(complement(complement(X_675)),X_732),X_675),complement(join(complement(X_675),join(complement(complement(X_675)),X_732))))) )],[refute_1_45,refute_1_381]) ).
cnf(refute_1_383,plain,
X_675 = join(meet(X_675,complement(complement(X_675))),complement(join(complement(X_675),complement(complement(X_675))))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(complement(complement(X_675))))]]) ).
cnf(refute_1_384,plain,
top = join(complement(X_675),complement(complement(X_675))),
inference(subst,[],[refute_1_48:[bind(X0,$fot(complement(X_675)))]]) ).
cnf(refute_1_385,plain,
( top != join(complement(X_675),complement(complement(X_675)))
| join(complement(X_675),complement(complement(X_675))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_675),complement(complement(X_675)))))]]) ).
cnf(refute_1_386,plain,
join(complement(X_675),complement(complement(X_675))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_675),complement(complement(X_675)))) )],[refute_1_384,refute_1_385]) ).
cnf(refute_1_387,plain,
( X_675 != join(meet(X_675,complement(complement(X_675))),complement(join(complement(X_675),complement(complement(X_675)))))
| join(complement(X_675),complement(complement(X_675))) != top
| X_675 = join(meet(X_675,complement(complement(X_675))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,complement(complement(X_675))),complement(join(complement(X_675),complement(complement(X_675)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_388,plain,
( X_675 != join(meet(X_675,complement(complement(X_675))),complement(join(complement(X_675),complement(complement(X_675)))))
| X_675 = join(meet(X_675,complement(complement(X_675))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),complement(complement(X_675))),top) )],[refute_1_386,refute_1_387]) ).
cnf(refute_1_389,plain,
X_675 = join(meet(X_675,complement(complement(X_675))),complement(top)),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(complement(X_675))),complement(join(complement(X_675),complement(complement(X_675)))))) )],[refute_1_383,refute_1_388]) ).
cnf(refute_1_390,plain,
join(complement(top),meet(X_675,complement(complement(X_675)))) = join(complement(top),meet(X_675,complement(complement(X_675)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_675,complement(complement(X_675)))))]]) ).
cnf(refute_1_391,plain,
( complement(top) != zero
| join(complement(top),meet(X_675,complement(complement(X_675)))) != join(complement(top),meet(X_675,complement(complement(X_675))))
| join(complement(top),meet(X_675,complement(complement(X_675)))) = join(zero,meet(X_675,complement(complement(X_675)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_675,complement(complement(X_675)))),join(complement(top),meet(X_675,complement(complement(X_675))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_392,plain,
( complement(top) != zero
| join(complement(top),meet(X_675,complement(complement(X_675)))) = join(zero,meet(X_675,complement(complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_675,complement(complement(X_675)))),join(complement(top),meet(X_675,complement(complement(X_675))))) )],[refute_1_390,refute_1_391]) ).
cnf(refute_1_393,plain,
join(complement(top),meet(X_675,complement(complement(X_675)))) = join(zero,meet(X_675,complement(complement(X_675)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_392]) ).
cnf(refute_1_394,plain,
join(meet(X_675,complement(complement(X_675))),complement(top)) = join(complement(top),meet(X_675,complement(complement(X_675)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_675,complement(complement(X_675)))))]]) ).
cnf(refute_1_395,plain,
( join(complement(top),meet(X_675,complement(complement(X_675)))) != join(zero,meet(X_675,complement(complement(X_675))))
| join(meet(X_675,complement(complement(X_675))),complement(top)) != join(complement(top),meet(X_675,complement(complement(X_675))))
| join(meet(X_675,complement(complement(X_675))),complement(top)) = join(zero,meet(X_675,complement(complement(X_675)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_675,complement(complement(X_675))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_675,complement(complement(X_675)))))),bind(Z,$fot(join(zero,meet(X_675,complement(complement(X_675))))))]]) ).
cnf(refute_1_396,plain,
( join(complement(top),meet(X_675,complement(complement(X_675)))) != join(zero,meet(X_675,complement(complement(X_675))))
| join(meet(X_675,complement(complement(X_675))),complement(top)) = join(zero,meet(X_675,complement(complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(complement(X_675))),complement(top)),join(complement(top),meet(X_675,complement(complement(X_675))))) )],[refute_1_394,refute_1_395]) ).
cnf(refute_1_397,plain,
join(meet(X_675,complement(complement(X_675))),complement(top)) = join(zero,meet(X_675,complement(complement(X_675)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_675,complement(complement(X_675)))),join(zero,meet(X_675,complement(complement(X_675))))) )],[refute_1_393,refute_1_396]) ).
cnf(refute_1_398,plain,
( X_675 != join(meet(X_675,complement(complement(X_675))),complement(top))
| join(meet(X_675,complement(complement(X_675))),complement(top)) != join(zero,meet(X_675,complement(complement(X_675))))
| X_675 = join(zero,meet(X_675,complement(complement(X_675)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(zero,meet(X_675,complement(complement(X_675))))) ),[0],$fot(join(meet(X_675,complement(complement(X_675))),complement(top)))]]) ).
cnf(refute_1_399,plain,
( X_675 != join(meet(X_675,complement(complement(X_675))),complement(top))
| X_675 = join(zero,meet(X_675,complement(complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(complement(X_675))),complement(top)),join(zero,meet(X_675,complement(complement(X_675))))) )],[refute_1_397,refute_1_398]) ).
cnf(refute_1_400,plain,
X_675 = join(zero,meet(X_675,complement(complement(X_675)))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(complement(X_675))),complement(top))) )],[refute_1_389,refute_1_399]) ).
cnf(refute_1_401,plain,
meet(X_675,X_675) = X_675,
inference(subst,[],[refute_1_369:[bind(X1,$fot(X_675))]]) ).
cnf(refute_1_402,plain,
meet(X_675,complement(complement(X_675))) = meet(X_675,complement(complement(X_675))),
introduced(tautology,[refl,[$fot(meet(X_675,complement(complement(X_675))))]]) ).
cnf(refute_1_403,plain,
( complement(complement(X_675)) != X_675
| meet(X_675,complement(complement(X_675))) != meet(X_675,complement(complement(X_675)))
| meet(X_675,complement(complement(X_675))) = meet(X_675,X_675) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_675,complement(complement(X_675))),meet(X_675,complement(complement(X_675)))) ),[1,1],$fot(X_675)]]) ).
cnf(refute_1_404,plain,
( complement(complement(X_675)) != X_675
| meet(X_675,complement(complement(X_675))) = meet(X_675,X_675) ),
inference(resolve,[$cnf( $equal(meet(X_675,complement(complement(X_675))),meet(X_675,complement(complement(X_675)))) )],[refute_1_402,refute_1_403]) ).
cnf(refute_1_405,plain,
meet(X_675,complement(complement(X_675))) = meet(X_675,X_675),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_404]) ).
cnf(refute_1_406,plain,
( meet(X_675,X_675) != X_675
| meet(X_675,complement(complement(X_675))) != meet(X_675,X_675)
| meet(X_675,complement(complement(X_675))) = X_675 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(X_675,complement(complement(X_675))))),bind(Y,$fot(meet(X_675,X_675))),bind(Z,$fot(X_675))]]) ).
cnf(refute_1_407,plain,
( meet(X_675,X_675) != X_675
| meet(X_675,complement(complement(X_675))) = X_675 ),
inference(resolve,[$cnf( $equal(meet(X_675,complement(complement(X_675))),meet(X_675,X_675)) )],[refute_1_405,refute_1_406]) ).
cnf(refute_1_408,plain,
meet(X_675,complement(complement(X_675))) = X_675,
inference(resolve,[$cnf( $equal(meet(X_675,X_675),X_675) )],[refute_1_401,refute_1_407]) ).
cnf(refute_1_409,plain,
join(zero,meet(X_675,complement(complement(X_675)))) = join(zero,meet(X_675,complement(complement(X_675)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_675,complement(complement(X_675)))))]]) ).
cnf(refute_1_410,plain,
( join(zero,meet(X_675,complement(complement(X_675)))) != join(zero,meet(X_675,complement(complement(X_675))))
| meet(X_675,complement(complement(X_675))) != X_675
| join(zero,meet(X_675,complement(complement(X_675)))) = join(zero,X_675) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_675,complement(complement(X_675)))),join(zero,meet(X_675,complement(complement(X_675))))) ),[1,1],$fot(X_675)]]) ).
cnf(refute_1_411,plain,
( meet(X_675,complement(complement(X_675))) != X_675
| join(zero,meet(X_675,complement(complement(X_675)))) = join(zero,X_675) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,complement(complement(X_675)))),join(zero,meet(X_675,complement(complement(X_675))))) )],[refute_1_409,refute_1_410]) ).
cnf(refute_1_412,plain,
join(zero,meet(X_675,complement(complement(X_675)))) = join(zero,X_675),
inference(resolve,[$cnf( $equal(meet(X_675,complement(complement(X_675))),X_675) )],[refute_1_408,refute_1_411]) ).
cnf(refute_1_413,plain,
( X_675 != join(zero,meet(X_675,complement(complement(X_675))))
| join(zero,meet(X_675,complement(complement(X_675)))) != join(zero,X_675)
| X_675 = join(zero,X_675) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(zero,X_675)) ),[0],$fot(join(zero,meet(X_675,complement(complement(X_675)))))]]) ).
cnf(refute_1_414,plain,
( X_675 != join(zero,meet(X_675,complement(complement(X_675))))
| X_675 = join(zero,X_675) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,complement(complement(X_675)))),join(zero,X_675)) )],[refute_1_412,refute_1_413]) ).
cnf(refute_1_415,plain,
X_675 = join(zero,X_675),
inference(resolve,[$cnf( $equal(X_675,join(zero,meet(X_675,complement(complement(X_675))))) )],[refute_1_400,refute_1_414]) ).
cnf(refute_1_416,plain,
( X_675 != join(zero,X_675)
| join(zero,X_675) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(join(zero,X_675)))]]) ).
cnf(refute_1_417,plain,
join(zero,X_675) = X_675,
inference(resolve,[$cnf( $equal(X_675,join(zero,X_675)) )],[refute_1_415,refute_1_416]) ).
cnf(refute_1_418,plain,
join(zero,meet(X_675,join(X_675,X_732))) = meet(X_675,join(X_675,X_732)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_675,join(X_675,X_732))))]]) ).
cnf(refute_1_419,plain,
join(complement(complement(X_675)),X_732) = join(complement(complement(X_675)),X_732),
introduced(tautology,[refl,[$fot(join(complement(complement(X_675)),X_732))]]) ).
cnf(refute_1_420,plain,
( complement(complement(X_675)) != X_675
| join(complement(complement(X_675)),X_732) != join(complement(complement(X_675)),X_732)
| join(complement(complement(X_675)),X_732) = join(X_675,X_732) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_675)),X_732),join(complement(complement(X_675)),X_732)) ),[1,0],$fot(X_675)]]) ).
cnf(refute_1_421,plain,
( complement(complement(X_675)) != X_675
| join(complement(complement(X_675)),X_732) = join(X_675,X_732) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_675)),X_732),join(complement(complement(X_675)),X_732)) )],[refute_1_419,refute_1_420]) ).
cnf(refute_1_422,plain,
join(complement(complement(X_675)),X_732) = join(X_675,X_732),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_421]) ).
cnf(refute_1_423,plain,
meet(X_675,join(complement(complement(X_675)),X_732)) = meet(X_675,join(complement(complement(X_675)),X_732)),
introduced(tautology,[refl,[$fot(meet(X_675,join(complement(complement(X_675)),X_732)))]]) ).
cnf(refute_1_424,plain,
( join(complement(complement(X_675)),X_732) != join(X_675,X_732)
| meet(X_675,join(complement(complement(X_675)),X_732)) != meet(X_675,join(complement(complement(X_675)),X_732))
| meet(X_675,join(complement(complement(X_675)),X_732)) = meet(X_675,join(X_675,X_732)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_675,join(complement(complement(X_675)),X_732)),meet(X_675,join(complement(complement(X_675)),X_732))) ),[1,1],$fot(join(X_675,X_732))]]) ).
cnf(refute_1_425,plain,
( join(complement(complement(X_675)),X_732) != join(X_675,X_732)
| meet(X_675,join(complement(complement(X_675)),X_732)) = meet(X_675,join(X_675,X_732)) ),
inference(resolve,[$cnf( $equal(meet(X_675,join(complement(complement(X_675)),X_732)),meet(X_675,join(complement(complement(X_675)),X_732))) )],[refute_1_423,refute_1_424]) ).
cnf(refute_1_426,plain,
meet(X_675,join(complement(complement(X_675)),X_732)) = meet(X_675,join(X_675,X_732)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_675)),X_732),join(X_675,X_732)) )],[refute_1_422,refute_1_425]) ).
cnf(refute_1_427,plain,
( meet(X_601,X_602) != meet(X_602,X_601)
| meet(X_602,X_601) = meet(X_601,X_602) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_601,X_602))),bind(Y,$fot(meet(X_602,X_601)))]]) ).
cnf(refute_1_428,plain,
meet(X_602,X_601) = meet(X_601,X_602),
inference(resolve,[$cnf( $equal(meet(X_601,X_602),meet(X_602,X_601)) )],[refute_1_38,refute_1_427]) ).
cnf(refute_1_429,plain,
meet(join(complement(complement(X_675)),X_732),X_675) = meet(X_675,join(complement(complement(X_675)),X_732)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X_675)),bind(X_602,$fot(join(complement(complement(X_675)),X_732)))]]) ).
cnf(refute_1_430,plain,
( meet(X_675,join(complement(complement(X_675)),X_732)) != meet(X_675,join(X_675,X_732))
| meet(join(complement(complement(X_675)),X_732),X_675) != meet(X_675,join(complement(complement(X_675)),X_732))
| meet(join(complement(complement(X_675)),X_732),X_675) = meet(X_675,join(X_675,X_732)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(complement(complement(X_675)),X_732),X_675))),bind(Y,$fot(meet(X_675,join(complement(complement(X_675)),X_732)))),bind(Z,$fot(meet(X_675,join(X_675,X_732))))]]) ).
cnf(refute_1_431,plain,
( meet(X_675,join(complement(complement(X_675)),X_732)) != meet(X_675,join(X_675,X_732))
| meet(join(complement(complement(X_675)),X_732),X_675) = meet(X_675,join(X_675,X_732)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_675)),X_732),X_675),meet(X_675,join(complement(complement(X_675)),X_732))) )],[refute_1_429,refute_1_430]) ).
cnf(refute_1_432,plain,
meet(join(complement(complement(X_675)),X_732),X_675) = meet(X_675,join(X_675,X_732)),
inference(resolve,[$cnf( $equal(meet(X_675,join(complement(complement(X_675)),X_732)),meet(X_675,join(X_675,X_732))) )],[refute_1_426,refute_1_431]) ).
cnf(refute_1_433,plain,
join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(join(complement(complement(X_675)),X_732),X_675)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(complement(X_675)),X_732),X_675)))]]) ).
cnf(refute_1_434,plain,
( join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) != join(zero,meet(join(complement(complement(X_675)),X_732),X_675))
| meet(join(complement(complement(X_675)),X_732),X_675) != meet(X_675,join(X_675,X_732))
| join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(X_675,join(X_675,X_732))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(complement(X_675)),X_732),X_675)),join(zero,meet(join(complement(complement(X_675)),X_732),X_675))) ),[1,1],$fot(meet(X_675,join(X_675,X_732)))]]) ).
cnf(refute_1_435,plain,
( meet(join(complement(complement(X_675)),X_732),X_675) != meet(X_675,join(X_675,X_732))
| join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(X_675,join(X_675,X_732))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_675)),X_732),X_675)),join(zero,meet(join(complement(complement(X_675)),X_732),X_675))) )],[refute_1_433,refute_1_434]) ).
cnf(refute_1_436,plain,
join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(X_675,join(X_675,X_732))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_675)),X_732),X_675),meet(X_675,join(X_675,X_732))) )],[refute_1_432,refute_1_435]) ).
cnf(refute_1_437,plain,
join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)))]]) ).
cnf(refute_1_438,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) != join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675))
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_439,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675))) )],[refute_1_437,refute_1_438]) ).
cnf(refute_1_440,plain,
join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(join(complement(complement(X_675)),X_732),X_675)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_439]) ).
cnf(refute_1_441,plain,
( join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) != join(zero,meet(join(complement(complement(X_675)),X_732),X_675))
| join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) != join(zero,meet(X_675,join(X_675,X_732)))
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(X_675,join(X_675,X_732))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)))),bind(Y,$fot(join(zero,meet(join(complement(complement(X_675)),X_732),X_675)))),bind(Z,$fot(join(zero,meet(X_675,join(X_675,X_732)))))]]) ).
cnf(refute_1_442,plain,
( join(zero,meet(join(complement(complement(X_675)),X_732),X_675)) != join(zero,meet(X_675,join(X_675,X_732)))
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(X_675,join(X_675,X_732))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),join(zero,meet(join(complement(complement(X_675)),X_732),X_675))) )],[refute_1_440,refute_1_441]) ).
cnf(refute_1_443,plain,
join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = join(zero,meet(X_675,join(X_675,X_732))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_675)),X_732),X_675)),join(zero,meet(X_675,join(X_675,X_732)))) )],[refute_1_436,refute_1_442]) ).
cnf(refute_1_444,plain,
( join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) != join(zero,meet(X_675,join(X_675,X_732)))
| join(zero,meet(X_675,join(X_675,X_732))) != meet(X_675,join(X_675,X_732))
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = meet(X_675,join(X_675,X_732)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)))),bind(Y,$fot(join(zero,meet(X_675,join(X_675,X_732))))),bind(Z,$fot(meet(X_675,join(X_675,X_732))))]]) ).
cnf(refute_1_445,plain,
( join(zero,meet(X_675,join(X_675,X_732))) != meet(X_675,join(X_675,X_732))
| join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = meet(X_675,join(X_675,X_732)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),join(zero,meet(X_675,join(X_675,X_732)))) )],[refute_1_443,refute_1_444]) ).
cnf(refute_1_446,plain,
join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) = meet(X_675,join(X_675,X_732)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,join(X_675,X_732))),meet(X_675,join(X_675,X_732))) )],[refute_1_418,refute_1_445]) ).
cnf(refute_1_447,plain,
join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) = join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(complement(X_675)),X_732),X_675)))]]) ).
cnf(refute_1_448,plain,
( join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) != meet(X_675,join(X_675,X_732))
| join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) != join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675))
| join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) = meet(X_675,join(X_675,X_732)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)))),bind(Z,$fot(meet(X_675,join(X_675,X_732))))]]) ).
cnf(refute_1_449,plain,
( join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)) != meet(X_675,join(X_675,X_732))
| join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) = meet(X_675,join(X_675,X_732)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)),join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675))) )],[refute_1_447,refute_1_448]) ).
cnf(refute_1_450,plain,
join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) = meet(X_675,join(X_675,X_732)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_675)),X_732),X_675)),meet(X_675,join(X_675,X_732))) )],[refute_1_446,refute_1_449]) ).
cnf(refute_1_451,plain,
( X_675 != join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top))
| join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)) != meet(X_675,join(X_675,X_732))
| X_675 = meet(X_675,join(X_675,X_732)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,join(X_675,X_732))) ),[0],$fot(join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)))]]) ).
cnf(refute_1_452,plain,
( X_675 != join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top))
| X_675 = meet(X_675,join(X_675,X_732)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top)),meet(X_675,join(X_675,X_732))) )],[refute_1_450,refute_1_451]) ).
cnf(refute_1_453,plain,
X_675 = meet(X_675,join(X_675,X_732)),
inference(resolve,[$cnf( $equal(X_675,join(meet(join(complement(complement(X_675)),X_732),X_675),complement(top))) )],[refute_1_382,refute_1_452]) ).
cnf(refute_1_454,plain,
meet(X_676,X_675) = meet(meet(X_676,X_675),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(meet(X_676,X_675))),bind(X_732,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_455,plain,
( X_675 != join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))
| join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_456,plain,
join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) = X_675,
inference(resolve,[$cnf( $equal(X_675,join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) )],[refute_1_44,refute_1_455]) ).
cnf(refute_1_457,plain,
( join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) != X_675
| meet(X_676,X_675) != meet(meet(X_676,X_675),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))
| meet(X_676,X_675) = meet(meet(X_676,X_675),X_675) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_676,X_675),meet(meet(X_676,X_675),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))) ),[1,1],$fot(X_675)]]) ).
cnf(refute_1_458,plain,
( meet(X_676,X_675) != meet(meet(X_676,X_675),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))
| meet(X_676,X_675) = meet(meet(X_676,X_675),X_675) ),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_675) )],[refute_1_456,refute_1_457]) ).
cnf(refute_1_459,plain,
meet(X_676,X_675) = meet(meet(X_676,X_675),X_675),
inference(resolve,[$cnf( $equal(meet(X_676,X_675),meet(meet(X_676,X_675),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))) )],[refute_1_454,refute_1_458]) ).
cnf(refute_1_460,plain,
meet(meet(X_676,X_675),X_675) = meet(X_675,meet(X_676,X_675)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X_675)),bind(X_602,$fot(meet(X_676,X_675)))]]) ).
cnf(refute_1_461,plain,
( meet(X_676,X_675) != meet(meet(X_676,X_675),X_675)
| meet(meet(X_676,X_675),X_675) != meet(X_675,meet(X_676,X_675))
| meet(X_676,X_675) = meet(X_675,meet(X_676,X_675)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_676,X_675),meet(X_675,meet(X_676,X_675))) ),[0],$fot(meet(meet(X_676,X_675),X_675))]]) ).
cnf(refute_1_462,plain,
( meet(X_676,X_675) != meet(meet(X_676,X_675),X_675)
| meet(X_676,X_675) = meet(X_675,meet(X_676,X_675)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_676,X_675),X_675),meet(X_675,meet(X_676,X_675))) )],[refute_1_460,refute_1_461]) ).
cnf(refute_1_463,plain,
meet(X_676,X_675) = meet(X_675,meet(X_676,X_675)),
inference(resolve,[$cnf( $equal(meet(X_676,X_675),meet(meet(X_676,X_675),X_675)) )],[refute_1_459,refute_1_462]) ).
cnf(refute_1_464,plain,
meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_463:[bind(X_675,$fot(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(X_676,$fot(join(one,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_465,plain,
converse(complement(X_937)) = complement(complement(converse(complement(X_937)))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(converse(complement(X_937))))]]) ).
cnf(refute_1_466,plain,
converse(converse(complement(converse(complement(X_936))))) = complement(converse(complement(X_936))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(converse(complement(X_936)))))]]) ).
cnf(refute_1_467,plain,
join(X_676,complement(X_675)) = join(complement(X_675),X_676),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_676)),bind(X1,$fot(complement(X_675)))]]) ).
cnf(refute_1_468,plain,
( join(X_676,complement(X_675)) != join(complement(X_675),X_676)
| join(complement(X_675),X_676) = join(X_676,complement(X_675)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_676,complement(X_675)))),bind(Y,$fot(join(complement(X_675),X_676)))]]) ).
cnf(refute_1_469,plain,
join(complement(X_675),X_676) = join(X_676,complement(X_675)),
inference(resolve,[$cnf( $equal(join(X_676,complement(X_675)),join(complement(X_675),X_676)) )],[refute_1_467,refute_1_468]) ).
cnf(refute_1_470,plain,
( X_675 != join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))
| join(complement(X_675),X_676) != join(X_676,complement(X_675))
| X_675 = join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))) ),[1,1,0],$fot(join(X_676,complement(X_675)))]]) ).
cnf(refute_1_471,plain,
( X_675 != join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))
| X_675 = join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),X_676),join(X_676,complement(X_675))) )],[refute_1_469,refute_1_470]) ).
cnf(refute_1_472,plain,
X_675 = join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,X_676),complement(join(complement(X_675),X_676)))) )],[refute_1_27,refute_1_471]) ).
cnf(refute_1_473,plain,
X_710 = join(meet(X_710,X_711),complement(join(X_711,complement(X_710)))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(X_710)),bind(X_676,$fot(X_711))]]) ).
cnf(refute_1_474,plain,
meet(X_711,X_710) = meet(X_710,X_711),
inference(subst,[],[refute_1_38:[bind(X_601,$fot(X_711)),bind(X_602,$fot(X_710))]]) ).
cnf(refute_1_475,plain,
( meet(X_711,X_710) != meet(X_710,X_711)
| meet(X_710,X_711) = meet(X_711,X_710) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_711,X_710))),bind(Y,$fot(meet(X_710,X_711)))]]) ).
cnf(refute_1_476,plain,
meet(X_710,X_711) = meet(X_711,X_710),
inference(resolve,[$cnf( $equal(meet(X_711,X_710),meet(X_710,X_711)) )],[refute_1_474,refute_1_475]) ).
cnf(refute_1_477,plain,
( X_710 != join(meet(X_710,X_711),complement(join(X_711,complement(X_710))))
| meet(X_710,X_711) != meet(X_711,X_710)
| X_710 = join(meet(X_711,X_710),complement(join(X_711,complement(X_710)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_710,join(meet(X_710,X_711),complement(join(X_711,complement(X_710))))) ),[1,0],$fot(meet(X_711,X_710))]]) ).
cnf(refute_1_478,plain,
( X_710 != join(meet(X_710,X_711),complement(join(X_711,complement(X_710))))
| X_710 = join(meet(X_711,X_710),complement(join(X_711,complement(X_710)))) ),
inference(resolve,[$cnf( $equal(meet(X_710,X_711),meet(X_711,X_710)) )],[refute_1_476,refute_1_477]) ).
cnf(refute_1_479,plain,
X_710 = join(meet(X_711,X_710),complement(join(X_711,complement(X_710)))),
inference(resolve,[$cnf( $equal(X_710,join(meet(X_710,X_711),complement(join(X_711,complement(X_710))))) )],[refute_1_473,refute_1_478]) ).
cnf(refute_1_480,plain,
converse(complement(converse(complement(X_711)))) = join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(join(X_711,complement(converse(complement(converse(complement(X_711)))))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(converse(complement(converse(complement(X_711))))))]]) ).
cnf(refute_1_481,plain,
converse(join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),
inference(subst,[],[refute_1_194:[bind(X_594,$fot(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))]]) ).
cnf(refute_1_482,plain,
join(X_727,join(converse(complement(converse(X_727))),X_729)) = join(join(X_727,converse(complement(converse(X_727)))),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(converse(complement(converse(X_727))))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_483,plain,
converse(join(converse(X_628),complement(converse(X_628)))) = join(X_628,converse(complement(converse(X_628)))),
inference(subst,[],[refute_1_194:[bind(X0,$fot(X_628)),bind(X_594,$fot(complement(converse(X_628))))]]) ).
cnf(refute_1_484,plain,
top = join(converse(X_628),complement(converse(X_628))),
inference(subst,[],[refute_1_48:[bind(X0,$fot(converse(X_628)))]]) ).
cnf(refute_1_485,plain,
( top != join(converse(X_628),complement(converse(X_628)))
| join(converse(X_628),complement(converse(X_628))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_628),complement(converse(X_628)))))]]) ).
cnf(refute_1_486,plain,
join(converse(X_628),complement(converse(X_628))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_628),complement(converse(X_628)))) )],[refute_1_484,refute_1_485]) ).
cnf(refute_1_487,plain,
( converse(join(converse(X_628),complement(converse(X_628)))) != join(X_628,converse(complement(converse(X_628))))
| join(converse(X_628),complement(converse(X_628))) != top
| converse(top) = join(X_628,converse(complement(converse(X_628)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_628),complement(converse(X_628)))),join(X_628,converse(complement(converse(X_628))))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_488,plain,
( converse(join(converse(X_628),complement(converse(X_628)))) != join(X_628,converse(complement(converse(X_628))))
| converse(top) = join(X_628,converse(complement(converse(X_628)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_628),complement(converse(X_628))),top) )],[refute_1_486,refute_1_487]) ).
cnf(refute_1_489,plain,
converse(top) = join(X_628,converse(complement(converse(X_628)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),complement(converse(X_628)))),join(X_628,converse(complement(converse(X_628))))) )],[refute_1_483,refute_1_488]) ).
cnf(refute_1_490,plain,
converse(top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_1_489:[bind(X_628,$fot(top))]]) ).
cnf(refute_1_491,plain,
top = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_1_372:[bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_1_492,plain,
( top != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,converse(complement(converse(top))))))]]) ).
cnf(refute_1_493,plain,
join(top,converse(complement(converse(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(top,converse(complement(converse(top))))) )],[refute_1_491,refute_1_492]) ).
cnf(refute_1_494,plain,
( converse(top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,converse(complement(converse(top)))))]]) ).
cnf(refute_1_495,plain,
( converse(top) != join(top,converse(complement(converse(top))))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),top) )],[refute_1_493,refute_1_494]) ).
cnf(refute_1_496,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(complement(converse(top))))) )],[refute_1_490,refute_1_495]) ).
cnf(refute_1_497,plain,
( converse(top) != join(X_628,converse(complement(converse(X_628))))
| converse(top) != top
| top = join(X_628,converse(complement(converse(X_628)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_628,converse(complement(converse(X_628))))) ),[0],$fot(top)]]) ).
cnf(refute_1_498,plain,
( converse(top) != join(X_628,converse(complement(converse(X_628))))
| top = join(X_628,converse(complement(converse(X_628)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_497]) ).
cnf(refute_1_499,plain,
top = join(X_628,converse(complement(converse(X_628)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_628,converse(complement(converse(X_628))))) )],[refute_1_489,refute_1_498]) ).
cnf(refute_1_500,plain,
top = join(X_727,converse(complement(converse(X_727)))),
inference(subst,[],[refute_1_499:[bind(X_628,$fot(X_727))]]) ).
cnf(refute_1_501,plain,
( top != join(X_727,converse(complement(converse(X_727))))
| join(X_727,converse(complement(converse(X_727)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_727,converse(complement(converse(X_727))))))]]) ).
cnf(refute_1_502,plain,
join(X_727,converse(complement(converse(X_727)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_727,converse(complement(converse(X_727))))) )],[refute_1_500,refute_1_501]) ).
cnf(refute_1_503,plain,
( join(X_727,converse(complement(converse(X_727)))) != top
| join(X_727,join(converse(complement(converse(X_727))),X_729)) != join(join(X_727,converse(complement(converse(X_727)))),X_729)
| join(X_727,join(converse(complement(converse(X_727))),X_729)) = join(top,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_727,join(converse(complement(converse(X_727))),X_729)),join(join(X_727,converse(complement(converse(X_727)))),X_729)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_504,plain,
( join(X_727,join(converse(complement(converse(X_727))),X_729)) != join(join(X_727,converse(complement(converse(X_727)))),X_729)
| join(X_727,join(converse(complement(converse(X_727))),X_729)) = join(top,X_729) ),
inference(resolve,[$cnf( $equal(join(X_727,converse(complement(converse(X_727)))),top) )],[refute_1_502,refute_1_503]) ).
cnf(refute_1_505,plain,
join(X_727,join(converse(complement(converse(X_727))),X_729)) = join(top,X_729),
inference(resolve,[$cnf( $equal(join(X_727,join(converse(complement(converse(X_727))),X_729)),join(join(X_727,converse(complement(converse(X_727)))),X_729)) )],[refute_1_482,refute_1_504]) ).
cnf(refute_1_506,plain,
( join(X_727,join(converse(complement(converse(X_727))),X_729)) != join(top,X_729)
| join(top,X_729) != top
| join(X_727,join(converse(complement(converse(X_727))),X_729)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_727,join(converse(complement(converse(X_727))),X_729)),top) ),[0],$fot(join(top,X_729))]]) ).
cnf(refute_1_507,plain,
( join(X_727,join(converse(complement(converse(X_727))),X_729)) != join(top,X_729)
| join(X_727,join(converse(complement(converse(X_727))),X_729)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_729),top) )],[refute_1_375,refute_1_506]) ).
cnf(refute_1_508,plain,
join(X_727,join(converse(complement(converse(X_727))),X_729)) = top,
inference(resolve,[$cnf( $equal(join(X_727,join(converse(complement(converse(X_727))),X_729)),join(top,X_729)) )],[refute_1_505,refute_1_507]) ).
cnf(refute_1_509,plain,
join(X_727,join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))) = top,
inference(subst,[],[refute_1_508:[bind(X_729,$fot(converse(complement(converse(complement(converse(complement(converse(X_727)))))))))]]) ).
cnf(refute_1_510,plain,
converse(complement(converse(complement(X_713)))) = join(meet(X_713,converse(complement(converse(complement(X_713))))),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(converse(complement(converse(complement(X_713)))))),bind(X_676,$fot(X_713))]]) ).
cnf(refute_1_511,plain,
X_675 = join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(join(complement(X_675),converse(complement(converse(complement(X_675))))))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(converse(complement(converse(complement(X_675))))))]]) ).
cnf(refute_1_512,plain,
converse(top) = join(complement(X_675),converse(complement(converse(complement(X_675))))),
inference(subst,[],[refute_1_489:[bind(X_628,$fot(complement(X_675)))]]) ).
cnf(refute_1_513,plain,
( converse(top) != join(complement(X_675),converse(complement(converse(complement(X_675)))))
| join(complement(X_675),converse(complement(converse(complement(X_675))))) = converse(top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_675),converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_514,plain,
join(complement(X_675),converse(complement(converse(complement(X_675))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_675),converse(complement(converse(complement(X_675)))))) )],[refute_1_512,refute_1_513]) ).
cnf(refute_1_515,plain,
( X_675 != join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(join(complement(X_675),converse(complement(converse(complement(X_675)))))))
| join(complement(X_675),converse(complement(converse(complement(X_675))))) != converse(top)
| X_675 = join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(join(complement(X_675),converse(complement(converse(complement(X_675)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_1_516,plain,
( X_675 != join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(join(complement(X_675),converse(complement(converse(complement(X_675)))))))
| X_675 = join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),converse(complement(converse(complement(X_675))))),converse(top)) )],[refute_1_514,refute_1_515]) ).
cnf(refute_1_517,plain,
X_675 = join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(join(complement(X_675),converse(complement(converse(complement(X_675)))))))) )],[refute_1_511,refute_1_516]) ).
cnf(refute_1_518,plain,
join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))) = join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_675,converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_519,plain,
( X_675 != join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top)))
| join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))) != join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))
| X_675 = join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))) ),[0],$fot(join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))))]]) ).
cnf(refute_1_520,plain,
( X_675 != join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top)))
| X_675 = join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top))),join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))) )],[refute_1_518,refute_1_519]) ).
cnf(refute_1_521,plain,
X_675 = join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,converse(complement(converse(complement(X_675))))),complement(converse(top)))) )],[refute_1_517,refute_1_520]) ).
cnf(refute_1_522,plain,
join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))) = meet(X_675,converse(complement(converse(complement(X_675))))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_675,converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_523,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_1_524,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_525,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_1_523,refute_1_524]) ).
cnf(refute_1_526,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_525]) ).
cnf(refute_1_527,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_528,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_1_526,refute_1_527]) ).
cnf(refute_1_529,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_528]) ).
cnf(refute_1_530,plain,
join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_531,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) != join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))
| join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_532,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))) )],[refute_1_530,refute_1_531]) ).
cnf(refute_1_533,plain,
join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_1_529,refute_1_532]) ).
cnf(refute_1_534,plain,
( join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) != join(zero,meet(X_675,converse(complement(converse(complement(X_675))))))
| join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))) != meet(X_675,converse(complement(converse(complement(X_675)))))
| join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = meet(X_675,converse(complement(converse(complement(X_675))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))))),bind(Y,$fot(join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))))),bind(Z,$fot(meet(X_675,converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_535,plain,
( join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))) != meet(X_675,converse(complement(converse(complement(X_675)))))
| join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = meet(X_675,converse(complement(converse(complement(X_675))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),join(zero,meet(X_675,converse(complement(converse(complement(X_675))))))) )],[refute_1_533,refute_1_534]) ).
cnf(refute_1_536,plain,
join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) = meet(X_675,converse(complement(converse(complement(X_675))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,converse(complement(converse(complement(X_675)))))),meet(X_675,converse(complement(converse(complement(X_675)))))) )],[refute_1_522,refute_1_535]) ).
cnf(refute_1_537,plain,
( X_675 != join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))
| join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))) != meet(X_675,converse(complement(converse(complement(X_675)))))
| X_675 = meet(X_675,converse(complement(converse(complement(X_675))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,converse(complement(converse(complement(X_675)))))) ),[0],$fot(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_538,plain,
( X_675 != join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))
| X_675 = meet(X_675,converse(complement(converse(complement(X_675))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675)))))),meet(X_675,converse(complement(converse(complement(X_675)))))) )],[refute_1_536,refute_1_537]) ).
cnf(refute_1_539,plain,
X_675 = meet(X_675,converse(complement(converse(complement(X_675))))),
inference(resolve,[$cnf( $equal(X_675,join(complement(converse(top)),meet(X_675,converse(complement(converse(complement(X_675))))))) )],[refute_1_521,refute_1_538]) ).
cnf(refute_1_540,plain,
X_713 = meet(X_713,converse(complement(converse(complement(X_713))))),
inference(subst,[],[refute_1_539:[bind(X_675,$fot(X_713))]]) ).
cnf(refute_1_541,plain,
( X_713 != meet(X_713,converse(complement(converse(complement(X_713)))))
| meet(X_713,converse(complement(converse(complement(X_713))))) = X_713 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_713)),bind(Y,$fot(meet(X_713,converse(complement(converse(complement(X_713)))))))]]) ).
cnf(refute_1_542,plain,
meet(X_713,converse(complement(converse(complement(X_713))))) = X_713,
inference(resolve,[$cnf( $equal(X_713,meet(X_713,converse(complement(converse(complement(X_713)))))) )],[refute_1_540,refute_1_541]) ).
cnf(refute_1_543,plain,
( converse(complement(converse(complement(X_713)))) != join(meet(X_713,converse(complement(converse(complement(X_713))))),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))
| meet(X_713,converse(complement(converse(complement(X_713))))) != X_713
| converse(complement(converse(complement(X_713)))) = join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_713)))),join(meet(X_713,converse(complement(converse(complement(X_713))))),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))) ),[1,0],$fot(X_713)]]) ).
cnf(refute_1_544,plain,
( converse(complement(converse(complement(X_713)))) != join(meet(X_713,converse(complement(converse(complement(X_713))))),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))
| converse(complement(converse(complement(X_713)))) = join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) ),
inference(resolve,[$cnf( $equal(meet(X_713,converse(complement(converse(complement(X_713))))),X_713) )],[refute_1_542,refute_1_543]) ).
cnf(refute_1_545,plain,
converse(complement(converse(complement(X_713)))) = join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_713)))),join(meet(X_713,converse(complement(converse(complement(X_713))))),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))) )],[refute_1_510,refute_1_544]) ).
cnf(refute_1_546,plain,
join(complement(converse(complement(converse(complement(X_713))))),X_713) = join(X_713,complement(converse(complement(converse(complement(X_713)))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_713)),bind(X1,$fot(complement(converse(complement(converse(complement(X_713)))))))]]) ).
cnf(refute_1_547,plain,
complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) = complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)),
introduced(tautology,[refl,[$fot(complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))]]) ).
cnf(refute_1_548,plain,
( complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) != complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))
| join(complement(converse(complement(converse(complement(X_713))))),X_713) != join(X_713,complement(converse(complement(converse(complement(X_713))))))
| complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) = complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) ),[1,0],$fot(join(X_713,complement(converse(complement(converse(complement(X_713)))))))]]) ).
cnf(refute_1_549,plain,
( join(complement(converse(complement(converse(complement(X_713))))),X_713) != join(X_713,complement(converse(complement(converse(complement(X_713))))))
| complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) = complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)),complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) )],[refute_1_547,refute_1_548]) ).
cnf(refute_1_550,plain,
complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) = complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(X_713))))),X_713),join(X_713,complement(converse(complement(converse(complement(X_713))))))) )],[refute_1_546,refute_1_549]) ).
cnf(refute_1_551,plain,
join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) = join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))),
introduced(tautology,[refl,[$fot(join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))))]]) ).
cnf(refute_1_552,plain,
( complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) != complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))
| join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) != join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))
| join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) = join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))),join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))) ),[1,1],$fot(complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))]]) ).
cnf(refute_1_553,plain,
( complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)) != complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))
| join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) = join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) ),
inference(resolve,[$cnf( $equal(join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))),join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))) )],[refute_1_551,refute_1_552]) ).
cnf(refute_1_554,plain,
join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) = join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)),complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) )],[refute_1_550,refute_1_553]) ).
cnf(refute_1_555,plain,
( converse(complement(converse(complement(X_713)))) != join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))
| join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))) != join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))
| converse(complement(converse(complement(X_713)))) = join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_713)))),join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))) ),[0],$fot(join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))))]]) ).
cnf(refute_1_556,plain,
( converse(complement(converse(complement(X_713)))) != join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))
| converse(complement(converse(complement(X_713)))) = join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) ),
inference(resolve,[$cnf( $equal(join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713))),join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))) )],[refute_1_554,refute_1_555]) ).
cnf(refute_1_557,plain,
converse(complement(converse(complement(X_713)))) = join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_713)))),join(X_713,complement(join(complement(converse(complement(converse(complement(X_713))))),X_713)))) )],[refute_1_545,refute_1_556]) ).
cnf(refute_1_558,plain,
join(converse(complement(converse(complement(X_713)))),X_713) = join(X_713,converse(complement(converse(complement(X_713))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_713)),bind(X1,$fot(converse(complement(converse(complement(X_713))))))]]) ).
cnf(refute_1_559,plain,
join(X_758,X_676) = join(meet(X_676,join(X_758,X_676)),complement(join(complement(join(X_758,X_676)),X_676))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(join(X_758,X_676)))]]) ).
cnf(refute_1_560,plain,
X_734 = meet(X_734,join(X_734,X_735)),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(X_734)),bind(X_732,$fot(X_735))]]) ).
cnf(refute_1_561,plain,
join(X_735,X_734) = join(X_734,X_735),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_735)),bind(X1,$fot(X_734))]]) ).
cnf(refute_1_562,plain,
( join(X_735,X_734) != join(X_734,X_735)
| join(X_734,X_735) = join(X_735,X_734) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_735,X_734))),bind(Y,$fot(join(X_734,X_735)))]]) ).
cnf(refute_1_563,plain,
join(X_734,X_735) = join(X_735,X_734),
inference(resolve,[$cnf( $equal(join(X_735,X_734),join(X_734,X_735)) )],[refute_1_561,refute_1_562]) ).
cnf(refute_1_564,plain,
( X_734 != meet(X_734,join(X_734,X_735))
| join(X_734,X_735) != join(X_735,X_734)
| X_734 = meet(X_734,join(X_735,X_734)) ),
introduced(tautology,[equality,[$cnf( $equal(X_734,meet(X_734,join(X_734,X_735))) ),[1,1],$fot(join(X_735,X_734))]]) ).
cnf(refute_1_565,plain,
( X_734 != meet(X_734,join(X_734,X_735))
| X_734 = meet(X_734,join(X_735,X_734)) ),
inference(resolve,[$cnf( $equal(join(X_734,X_735),join(X_735,X_734)) )],[refute_1_563,refute_1_564]) ).
cnf(refute_1_566,plain,
X_734 = meet(X_734,join(X_735,X_734)),
inference(resolve,[$cnf( $equal(X_734,meet(X_734,join(X_734,X_735))) )],[refute_1_560,refute_1_565]) ).
cnf(refute_1_567,plain,
X_676 = meet(X_676,join(X_758,X_676)),
inference(subst,[],[refute_1_566:[bind(X_734,$fot(X_676)),bind(X_735,$fot(X_758))]]) ).
cnf(refute_1_568,plain,
( X_676 != meet(X_676,join(X_758,X_676))
| meet(X_676,join(X_758,X_676)) = X_676 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_676)),bind(Y,$fot(meet(X_676,join(X_758,X_676))))]]) ).
cnf(refute_1_569,plain,
meet(X_676,join(X_758,X_676)) = X_676,
inference(resolve,[$cnf( $equal(X_676,meet(X_676,join(X_758,X_676))) )],[refute_1_567,refute_1_568]) ).
cnf(refute_1_570,plain,
( join(X_758,X_676) != join(meet(X_676,join(X_758,X_676)),complement(join(complement(join(X_758,X_676)),X_676)))
| meet(X_676,join(X_758,X_676)) != X_676
| join(X_758,X_676) = join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_758,X_676),join(meet(X_676,join(X_758,X_676)),complement(join(complement(join(X_758,X_676)),X_676)))) ),[1,0],$fot(X_676)]]) ).
cnf(refute_1_571,plain,
( join(X_758,X_676) != join(meet(X_676,join(X_758,X_676)),complement(join(complement(join(X_758,X_676)),X_676)))
| join(X_758,X_676) = join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) ),
inference(resolve,[$cnf( $equal(meet(X_676,join(X_758,X_676)),X_676) )],[refute_1_569,refute_1_570]) ).
cnf(refute_1_572,plain,
join(X_758,X_676) = join(X_676,complement(join(complement(join(X_758,X_676)),X_676))),
inference(resolve,[$cnf( $equal(join(X_758,X_676),join(meet(X_676,join(X_758,X_676)),complement(join(complement(join(X_758,X_676)),X_676)))) )],[refute_1_559,refute_1_571]) ).
cnf(refute_1_573,plain,
join(complement(join(X_758,X_676)),X_676) = join(X_676,complement(join(X_758,X_676))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_676)),bind(X1,$fot(complement(join(X_758,X_676))))]]) ).
cnf(refute_1_574,plain,
complement(join(complement(join(X_758,X_676)),X_676)) = complement(join(complement(join(X_758,X_676)),X_676)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(X_758,X_676)),X_676)))]]) ).
cnf(refute_1_575,plain,
( complement(join(complement(join(X_758,X_676)),X_676)) != complement(join(complement(join(X_758,X_676)),X_676))
| join(complement(join(X_758,X_676)),X_676) != join(X_676,complement(join(X_758,X_676)))
| complement(join(complement(join(X_758,X_676)),X_676)) = complement(join(X_676,complement(join(X_758,X_676)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(X_758,X_676)),X_676)),complement(join(complement(join(X_758,X_676)),X_676))) ),[1,0],$fot(join(X_676,complement(join(X_758,X_676))))]]) ).
cnf(refute_1_576,plain,
( join(complement(join(X_758,X_676)),X_676) != join(X_676,complement(join(X_758,X_676)))
| complement(join(complement(join(X_758,X_676)),X_676)) = complement(join(X_676,complement(join(X_758,X_676)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_758,X_676)),X_676)),complement(join(complement(join(X_758,X_676)),X_676))) )],[refute_1_574,refute_1_575]) ).
cnf(refute_1_577,plain,
complement(join(complement(join(X_758,X_676)),X_676)) = complement(join(X_676,complement(join(X_758,X_676)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_758,X_676)),X_676),join(X_676,complement(join(X_758,X_676)))) )],[refute_1_573,refute_1_576]) ).
cnf(refute_1_578,plain,
join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) = join(X_676,complement(join(complement(join(X_758,X_676)),X_676))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(complement(join(X_758,X_676)),X_676))))]]) ).
cnf(refute_1_579,plain,
( complement(join(complement(join(X_758,X_676)),X_676)) != complement(join(X_676,complement(join(X_758,X_676))))
| join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) != join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))
| join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(complement(join(X_758,X_676)),X_676))),join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))) ),[1,1],$fot(complement(join(X_676,complement(join(X_758,X_676)))))]]) ).
cnf(refute_1_580,plain,
( complement(join(complement(join(X_758,X_676)),X_676)) != complement(join(X_676,complement(join(X_758,X_676))))
| join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(X_758,X_676)),X_676))),join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))) )],[refute_1_578,refute_1_579]) ).
cnf(refute_1_581,plain,
join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_758,X_676)),X_676)),complement(join(X_676,complement(join(X_758,X_676))))) )],[refute_1_577,refute_1_580]) ).
cnf(refute_1_582,plain,
( join(X_676,complement(join(complement(join(X_758,X_676)),X_676))) != join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))
| join(X_758,X_676) != join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))
| join(X_758,X_676) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))) ),[1],$fot(join(X_676,complement(join(X_676,complement(join(X_758,X_676))))))]]) ).
cnf(refute_1_583,plain,
( join(X_758,X_676) != join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))
| join(X_758,X_676) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(X_758,X_676)),X_676))),join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))) )],[refute_1_581,refute_1_582]) ).
cnf(refute_1_584,plain,
join(X_758,X_676) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))),
inference(resolve,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(complement(join(X_758,X_676)),X_676)))) )],[refute_1_572,refute_1_583]) ).
cnf(refute_1_585,plain,
join(join(X_728,X_729),join(X_728,X_729)) = join(join(join(X_728,X_729),X_728),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(join(X_728,X_729))),bind(X1,$fot(X_728)),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_586,plain,
composition(join(one,one),complement(complement(X_706))) = complement(complement(X_706)),
inference(subst,[],[refute_1_227:[bind(X_617,$fot(complement(X_706)))]]) ).
cnf(refute_1_587,plain,
X_706 = complement(complement(X_706)),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(X_706))]]) ).
cnf(refute_1_588,plain,
( X_706 != complement(complement(X_706))
| complement(complement(X_706)) = X_706 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_706)),bind(Y,$fot(complement(complement(X_706))))]]) ).
cnf(refute_1_589,plain,
complement(complement(X_706)) = X_706,
inference(resolve,[$cnf( $equal(X_706,complement(complement(X_706))) )],[refute_1_587,refute_1_588]) ).
cnf(refute_1_590,plain,
( complement(complement(X_706)) != X_706
| composition(join(one,one),complement(complement(X_706))) != complement(complement(X_706))
| composition(join(one,one),X_706) = complement(complement(X_706)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(complement(X_706))),complement(complement(X_706))) ),[0,1],$fot(X_706)]]) ).
cnf(refute_1_591,plain,
( composition(join(one,one),complement(complement(X_706))) != complement(complement(X_706))
| composition(join(one,one),X_706) = complement(complement(X_706)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_706)),X_706) )],[refute_1_589,refute_1_590]) ).
cnf(refute_1_592,plain,
composition(join(one,one),X_706) = complement(complement(X_706)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(complement(X_706))),complement(complement(X_706))) )],[refute_1_586,refute_1_591]) ).
cnf(refute_1_593,plain,
( complement(complement(X_706)) != X_706
| composition(join(one,one),X_706) != complement(complement(X_706))
| composition(join(one,one),X_706) = X_706 ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_706),complement(complement(X_706))) ),[1],$fot(X_706)]]) ).
cnf(refute_1_594,plain,
( composition(join(one,one),X_706) != complement(complement(X_706))
| composition(join(one,one),X_706) = X_706 ),
inference(resolve,[$cnf( $equal(complement(complement(X_706)),X_706) )],[refute_1_589,refute_1_593]) ).
cnf(refute_1_595,plain,
composition(join(one,one),X_706) = X_706,
inference(resolve,[$cnf( $equal(composition(join(one,one),X_706),complement(complement(X_706))) )],[refute_1_592,refute_1_594]) ).
cnf(refute_1_596,plain,
composition(join(one,one),X_635) = X_635,
inference(subst,[],[refute_1_595:[bind(X_706,$fot(X_635))]]) ).
cnf(refute_1_597,plain,
( composition(join(one,one),X_635) != X_635
| composition(join(one,one),X_635) != join(X_635,X_635)
| X_635 = join(X_635,X_635) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_635),join(X_635,X_635)) ),[0],$fot(X_635)]]) ).
cnf(refute_1_598,plain,
( composition(join(one,one),X_635) != join(X_635,X_635)
| X_635 = join(X_635,X_635) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_635),X_635) )],[refute_1_596,refute_1_597]) ).
cnf(refute_1_599,plain,
X_635 = join(X_635,X_635),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_635),join(X_635,X_635)) )],[refute_1_181,refute_1_598]) ).
cnf(refute_1_600,plain,
join(X_728,X_729) = join(join(X_728,X_729),join(X_728,X_729)),
inference(subst,[],[refute_1_599:[bind(X_635,$fot(join(X_728,X_729)))]]) ).
cnf(refute_1_601,plain,
( join(X_728,X_729) != join(join(X_728,X_729),join(X_728,X_729))
| join(join(X_728,X_729),join(X_728,X_729)) = join(X_728,X_729) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_728,X_729))),bind(Y,$fot(join(join(X_728,X_729),join(X_728,X_729))))]]) ).
cnf(refute_1_602,plain,
join(join(X_728,X_729),join(X_728,X_729)) = join(X_728,X_729),
inference(resolve,[$cnf( $equal(join(X_728,X_729),join(join(X_728,X_729),join(X_728,X_729))) )],[refute_1_600,refute_1_601]) ).
cnf(refute_1_603,plain,
( join(join(X_728,X_729),join(X_728,X_729)) != join(X_728,X_729)
| join(join(X_728,X_729),join(X_728,X_729)) != join(join(join(X_728,X_729),X_728),X_729)
| join(X_728,X_729) = join(join(join(X_728,X_729),X_728),X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_728,X_729),join(X_728,X_729)),join(join(join(X_728,X_729),X_728),X_729)) ),[0],$fot(join(X_728,X_729))]]) ).
cnf(refute_1_604,plain,
( join(join(X_728,X_729),join(X_728,X_729)) != join(join(join(X_728,X_729),X_728),X_729)
| join(X_728,X_729) = join(join(join(X_728,X_729),X_728),X_729) ),
inference(resolve,[$cnf( $equal(join(join(X_728,X_729),join(X_728,X_729)),join(X_728,X_729)) )],[refute_1_602,refute_1_603]) ).
cnf(refute_1_605,plain,
join(X_728,X_729) = join(join(join(X_728,X_729),X_728),X_729),
inference(resolve,[$cnf( $equal(join(join(X_728,X_729),join(X_728,X_729)),join(join(join(X_728,X_729),X_728),X_729)) )],[refute_1_585,refute_1_604]) ).
cnf(refute_1_606,plain,
composition(join(X0,X1),join(one,one)) = join(composition(X0,join(one,one)),composition(X1,join(one,one))),
inference(subst,[],[refute_1_163:[bind(X2,$fot(join(one,one)))]]) ).
cnf(refute_1_607,plain,
( join(X0,X0) != composition(X0,join(one,one))
| composition(X0,join(one,one)) = join(X0,X0) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,X0))),bind(Y,$fot(composition(X0,join(one,one))))]]) ).
cnf(refute_1_608,plain,
composition(X0,join(one,one)) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,join(one,one))) )],[refute_1_216,refute_1_607]) ).
cnf(refute_1_609,plain,
( composition(X0,join(one,one)) != join(X0,X0)
| composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) ),[1,0],$fot(join(X0,X0))]]) ).
cnf(refute_1_610,plain,
( composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(X0,join(one,one)),join(X0,X0)) )],[refute_1_608,refute_1_609]) ).
cnf(refute_1_611,plain,
composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) )],[refute_1_606,refute_1_610]) ).
cnf(refute_1_612,plain,
join(join(X0,X0),composition(X1,join(one,one))) = join(X0,join(X0,composition(X1,join(one,one)))),
inference(subst,[],[refute_1_62:[bind(X1,$fot(X0)),bind(X2,$fot(composition(X1,join(one,one))))]]) ).
cnf(refute_1_613,plain,
( composition(join(X0,X1),join(one,one)) != join(join(X0,X0),composition(X1,join(one,one)))
| join(join(X0,X0),composition(X1,join(one,one))) != join(X0,join(X0,composition(X1,join(one,one))))
| composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) ),[0],$fot(join(join(X0,X0),composition(X1,join(one,one))))]]) ).
cnf(refute_1_614,plain,
( composition(join(X0,X1),join(one,one)) != join(join(X0,X0),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X0),composition(X1,join(one,one))),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_1_612,refute_1_613]) ).
cnf(refute_1_615,plain,
composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(join(X0,X0),composition(X1,join(one,one)))) )],[refute_1_611,refute_1_614]) ).
cnf(refute_1_616,plain,
composition(join(X0,X1),one) = join(X0,X1),
inference(subst,[],[refute_1_82:[bind(X0,$fot(join(X0,X1)))]]) ).
cnf(refute_1_617,plain,
( X_635 != join(X_635,X_635)
| join(X_635,X_635) = X_635 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_635)),bind(Y,$fot(join(X_635,X_635)))]]) ).
cnf(refute_1_618,plain,
join(X_635,X_635) = X_635,
inference(resolve,[$cnf( $equal(X_635,join(X_635,X_635)) )],[refute_1_599,refute_1_617]) ).
cnf(refute_1_619,plain,
join(one,one) = one,
inference(subst,[],[refute_1_618:[bind(X_635,$fot(one))]]) ).
cnf(refute_1_620,plain,
composition(join(X0,X1),join(one,one)) = composition(join(X0,X1),join(one,one)),
introduced(tautology,[refl,[$fot(composition(join(X0,X1),join(one,one)))]]) ).
cnf(refute_1_621,plain,
( composition(join(X0,X1),join(one,one)) != composition(join(X0,X1),join(one,one))
| join(one,one) != one
| composition(join(X0,X1),join(one,one)) = composition(join(X0,X1),one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),composition(join(X0,X1),join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_622,plain,
( join(one,one) != one
| composition(join(X0,X1),join(one,one)) = composition(join(X0,X1),one) ),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),composition(join(X0,X1),join(one,one))) )],[refute_1_620,refute_1_621]) ).
cnf(refute_1_623,plain,
composition(join(X0,X1),join(one,one)) = composition(join(X0,X1),one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_1_619,refute_1_622]) ).
cnf(refute_1_624,plain,
( composition(join(X0,X1),join(one,one)) != composition(join(X0,X1),one)
| composition(join(X0,X1),one) != join(X0,X1)
| composition(join(X0,X1),join(one,one)) = join(X0,X1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(X0,X1),join(one,one)))),bind(Y,$fot(composition(join(X0,X1),one))),bind(Z,$fot(join(X0,X1)))]]) ).
cnf(refute_1_625,plain,
( composition(join(X0,X1),one) != join(X0,X1)
| composition(join(X0,X1),join(one,one)) = join(X0,X1) ),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),composition(join(X0,X1),one)) )],[refute_1_623,refute_1_624]) ).
cnf(refute_1_626,plain,
composition(join(X0,X1),join(one,one)) = join(X0,X1),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),one),join(X0,X1)) )],[refute_1_616,refute_1_625]) ).
cnf(refute_1_627,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,X1)
| composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,composition(X1,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) ),[0],$fot(join(X0,X1))]]) ).
cnf(refute_1_628,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,composition(X1,join(one,one)))) ),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,X1)) )],[refute_1_626,refute_1_627]) ).
cnf(refute_1_629,plain,
composition(X1,one) = X1,
inference(subst,[],[refute_1_82:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_630,plain,
composition(X1,join(one,one)) = composition(X1,join(one,one)),
introduced(tautology,[refl,[$fot(composition(X1,join(one,one)))]]) ).
cnf(refute_1_631,plain,
( composition(X1,join(one,one)) != composition(X1,join(one,one))
| join(one,one) != one
| composition(X1,join(one,one)) = composition(X1,one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X1,join(one,one)),composition(X1,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_632,plain,
( join(one,one) != one
| composition(X1,join(one,one)) = composition(X1,one) ),
inference(resolve,[$cnf( $equal(composition(X1,join(one,one)),composition(X1,join(one,one))) )],[refute_1_630,refute_1_631]) ).
cnf(refute_1_633,plain,
composition(X1,join(one,one)) = composition(X1,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_1_619,refute_1_632]) ).
cnf(refute_1_634,plain,
( composition(X1,join(one,one)) != composition(X1,one)
| composition(X1,one) != X1
| composition(X1,join(one,one)) = X1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(X1,join(one,one)))),bind(Y,$fot(composition(X1,one))),bind(Z,$fot(X1))]]) ).
cnf(refute_1_635,plain,
( composition(X1,one) != X1
| composition(X1,join(one,one)) = X1 ),
inference(resolve,[$cnf( $equal(composition(X1,join(one,one)),composition(X1,one)) )],[refute_1_633,refute_1_634]) ).
cnf(refute_1_636,plain,
composition(X1,join(one,one)) = X1,
inference(resolve,[$cnf( $equal(composition(X1,one),X1) )],[refute_1_629,refute_1_635]) ).
cnf(refute_1_637,plain,
join(X0,composition(X1,join(one,one))) = join(X0,composition(X1,join(one,one))),
introduced(tautology,[refl,[$fot(join(X0,composition(X1,join(one,one))))]]) ).
cnf(refute_1_638,plain,
( composition(X1,join(one,one)) != X1
| join(X0,composition(X1,join(one,one))) != join(X0,composition(X1,join(one,one)))
| join(X0,composition(X1,join(one,one))) = join(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_1_639,plain,
( composition(X1,join(one,one)) != X1
| join(X0,composition(X1,join(one,one))) = join(X0,X1) ),
inference(resolve,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) )],[refute_1_637,refute_1_638]) ).
cnf(refute_1_640,plain,
join(X0,composition(X1,join(one,one))) = join(X0,X1),
inference(resolve,[$cnf( $equal(composition(X1,join(one,one)),X1) )],[refute_1_636,refute_1_639]) ).
cnf(refute_1_641,plain,
join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,composition(X1,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X0,join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_1_642,plain,
( join(X0,composition(X1,join(one,one))) != join(X0,X1)
| join(X0,join(X0,composition(X1,join(one,one)))) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,composition(X1,join(one,one))))) ),[1,1],$fot(join(X0,X1))]]) ).
cnf(refute_1_643,plain,
( join(X0,composition(X1,join(one,one))) != join(X0,X1)
| join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_1_641,refute_1_642]) ).
cnf(refute_1_644,plain,
join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,X1)) )],[refute_1_640,refute_1_643]) ).
cnf(refute_1_645,plain,
( join(X0,X1) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,join(X0,composition(X1,join(one,one)))) != join(X0,join(X0,X1))
| join(X0,X1) = join(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,X1),join(X0,join(X0,X1))) ),[0],$fot(join(X0,join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_1_646,plain,
( join(X0,X1) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,X1))) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_1_628,refute_1_646]) ).
cnf(refute_1_648,plain,
join(X0,X1) = join(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_1_615,refute_1_647]) ).
cnf(refute_1_649,plain,
( join(X0,X1) != join(X0,join(X0,X1))
| join(X0,join(X0,X1)) = join(X0,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X0,join(X0,X1))))]]) ).
cnf(refute_1_650,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X0,join(X0,X1))) )],[refute_1_648,refute_1_649]) ).
cnf(refute_1_651,plain,
join(X_728,join(X_728,X_729)) = join(X_728,X_729),
inference(subst,[],[refute_1_650:[bind(X0,$fot(X_728)),bind(X1,$fot(X_729))]]) ).
cnf(refute_1_652,plain,
join(X_729,join(X_728,join(X_728,X_729))) = join(X_729,join(X_728,join(X_728,X_729))),
introduced(tautology,[refl,[$fot(join(X_729,join(X_728,join(X_728,X_729))))]]) ).
cnf(refute_1_653,plain,
( join(X_728,join(X_728,X_729)) != join(X_728,X_729)
| join(X_729,join(X_728,join(X_728,X_729))) != join(X_729,join(X_728,join(X_728,X_729)))
| join(X_729,join(X_728,join(X_728,X_729))) = join(X_729,join(X_728,X_729)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_729,join(X_728,join(X_728,X_729))),join(X_729,join(X_728,join(X_728,X_729)))) ),[1,1],$fot(join(X_728,X_729))]]) ).
cnf(refute_1_654,plain,
( join(X_728,join(X_728,X_729)) != join(X_728,X_729)
| join(X_729,join(X_728,join(X_728,X_729))) = join(X_729,join(X_728,X_729)) ),
inference(resolve,[$cnf( $equal(join(X_729,join(X_728,join(X_728,X_729))),join(X_729,join(X_728,join(X_728,X_729)))) )],[refute_1_652,refute_1_653]) ).
cnf(refute_1_655,plain,
join(X_729,join(X_728,join(X_728,X_729))) = join(X_729,join(X_728,X_729)),
inference(resolve,[$cnf( $equal(join(X_728,join(X_728,X_729)),join(X_728,X_729)) )],[refute_1_651,refute_1_654]) ).
cnf(refute_1_656,plain,
join(X_727,join(X_728,X_729)) = join(join(X_727,X_728),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_657,plain,
join(X_729,X_728) = join(X_728,X_729),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_729)),bind(X1,$fot(X_728))]]) ).
cnf(refute_1_658,plain,
( join(X_729,X_728) != join(X_728,X_729)
| join(X_728,X_729) = join(X_729,X_728) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_729,X_728))),bind(Y,$fot(join(X_728,X_729)))]]) ).
cnf(refute_1_659,plain,
join(X_728,X_729) = join(X_729,X_728),
inference(resolve,[$cnf( $equal(join(X_729,X_728),join(X_728,X_729)) )],[refute_1_657,refute_1_658]) ).
cnf(refute_1_660,plain,
( join(X_727,join(X_728,X_729)) != join(join(X_727,X_728),X_729)
| join(X_728,X_729) != join(X_729,X_728)
| join(X_727,join(X_729,X_728)) = join(join(X_727,X_728),X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_727,join(X_728,X_729)),join(join(X_727,X_728),X_729)) ),[0,1],$fot(join(X_729,X_728))]]) ).
cnf(refute_1_661,plain,
( join(X_727,join(X_728,X_729)) != join(join(X_727,X_728),X_729)
| join(X_727,join(X_729,X_728)) = join(join(X_727,X_728),X_729) ),
inference(resolve,[$cnf( $equal(join(X_728,X_729),join(X_729,X_728)) )],[refute_1_659,refute_1_660]) ).
cnf(refute_1_662,plain,
join(X_727,join(X_729,X_728)) = join(join(X_727,X_728),X_729),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,X_729)),join(join(X_727,X_728),X_729)) )],[refute_1_656,refute_1_661]) ).
cnf(refute_1_663,plain,
join(join(X_727,X_728),X_729) = join(X_727,join(X_728,X_729)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_664,plain,
( join(X_727,join(X_729,X_728)) != join(join(X_727,X_728),X_729)
| join(join(X_727,X_728),X_729) != join(X_727,join(X_728,X_729))
| join(X_727,join(X_729,X_728)) = join(X_727,join(X_728,X_729)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_727,join(X_729,X_728)),join(X_727,join(X_728,X_729))) ),[0],$fot(join(join(X_727,X_728),X_729))]]) ).
cnf(refute_1_665,plain,
( join(X_727,join(X_729,X_728)) != join(join(X_727,X_728),X_729)
| join(X_727,join(X_729,X_728)) = join(X_727,join(X_728,X_729)) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),X_729),join(X_727,join(X_728,X_729))) )],[refute_1_663,refute_1_664]) ).
cnf(refute_1_666,plain,
join(X_727,join(X_729,X_728)) = join(X_727,join(X_728,X_729)),
inference(resolve,[$cnf( $equal(join(X_727,join(X_729,X_728)),join(join(X_727,X_728),X_729)) )],[refute_1_662,refute_1_665]) ).
cnf(refute_1_667,plain,
( join(X_727,join(X_729,X_728)) != join(X_727,join(X_728,X_729))
| join(X_727,join(X_728,X_729)) = join(X_727,join(X_729,X_728)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_729,X_728)))),bind(Y,$fot(join(X_727,join(X_728,X_729))))]]) ).
cnf(refute_1_668,plain,
join(X_727,join(X_728,X_729)) = join(X_727,join(X_729,X_728)),
inference(resolve,[$cnf( $equal(join(X_727,join(X_729,X_728)),join(X_727,join(X_728,X_729))) )],[refute_1_666,refute_1_667]) ).
cnf(refute_1_669,plain,
join(X_729,join(join(X_728,X_729),X_728)) = join(X_729,join(X_728,join(X_728,X_729))),
inference(subst,[],[refute_1_668:[bind(X_727,$fot(X_729)),bind(X_728,$fot(join(X_728,X_729))),bind(X_729,$fot(X_728))]]) ).
cnf(refute_1_670,plain,
join(X0,join(X_727,X_728)) = join(join(X_727,X_728),X0),
inference(subst,[],[refute_1_1:[bind(X1,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_671,plain,
join(X_727,join(X_728,X0)) = join(join(X_727,X_728),X0),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(X0))]]) ).
cnf(refute_1_672,plain,
( join(X_727,join(X_728,X0)) != join(join(X_727,X_728),X0)
| join(join(X_727,X_728),X0) = join(X_727,join(X_728,X0)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,X0)))),bind(Y,$fot(join(join(X_727,X_728),X0)))]]) ).
cnf(refute_1_673,plain,
join(join(X_727,X_728),X0) = join(X_727,join(X_728,X0)),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,X0)),join(join(X_727,X_728),X0)) )],[refute_1_671,refute_1_672]) ).
cnf(refute_1_674,plain,
( join(X0,join(X_727,X_728)) != join(join(X_727,X_728),X0)
| join(join(X_727,X_728),X0) != join(X_727,join(X_728,X0))
| join(X0,join(X_727,X_728)) = join(X_727,join(X_728,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_727,X_728)),join(X_727,join(X_728,X0))) ),[0],$fot(join(join(X_727,X_728),X0))]]) ).
cnf(refute_1_675,plain,
( join(X0,join(X_727,X_728)) != join(join(X_727,X_728),X0)
| join(X0,join(X_727,X_728)) = join(X_727,join(X_728,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),X0),join(X_727,join(X_728,X0))) )],[refute_1_673,refute_1_674]) ).
cnf(refute_1_676,plain,
join(X0,join(X_727,X_728)) = join(X_727,join(X_728,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_727,X_728)),join(join(X_727,X_728),X0)) )],[refute_1_670,refute_1_675]) ).
cnf(refute_1_677,plain,
( join(X0,join(X_727,X_728)) != join(X_727,join(X_728,X0))
| join(X_727,join(X_728,X0)) = join(X0,join(X_727,X_728)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X_727,X_728)))),bind(Y,$fot(join(X_727,join(X_728,X0))))]]) ).
cnf(refute_1_678,plain,
join(X_727,join(X_728,X0)) = join(X0,join(X_727,X_728)),
inference(resolve,[$cnf( $equal(join(X0,join(X_727,X_728)),join(X_727,join(X_728,X0))) )],[refute_1_676,refute_1_677]) ).
cnf(refute_1_679,plain,
join(join(X_728,X_729),join(X_728,X_729)) = join(X_729,join(join(X_728,X_729),X_728)),
inference(subst,[],[refute_1_678:[bind(X0,$fot(X_729)),bind(X_727,$fot(join(X_728,X_729)))]]) ).
cnf(refute_1_680,plain,
( join(X_729,join(join(X_728,X_729),X_728)) != join(X_729,join(X_728,join(X_728,X_729)))
| join(join(X_728,X_729),join(X_728,X_729)) != join(X_729,join(join(X_728,X_729),X_728))
| join(join(X_728,X_729),join(X_728,X_729)) = join(X_729,join(X_728,join(X_728,X_729))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_728,X_729),join(X_728,X_729)))),bind(Y,$fot(join(X_729,join(join(X_728,X_729),X_728)))),bind(Z,$fot(join(X_729,join(X_728,join(X_728,X_729)))))]]) ).
cnf(refute_1_681,plain,
( join(X_729,join(join(X_728,X_729),X_728)) != join(X_729,join(X_728,join(X_728,X_729)))
| join(join(X_728,X_729),join(X_728,X_729)) = join(X_729,join(X_728,join(X_728,X_729))) ),
inference(resolve,[$cnf( $equal(join(join(X_728,X_729),join(X_728,X_729)),join(X_729,join(join(X_728,X_729),X_728))) )],[refute_1_679,refute_1_680]) ).
cnf(refute_1_682,plain,
join(join(X_728,X_729),join(X_728,X_729)) = join(X_729,join(X_728,join(X_728,X_729))),
inference(resolve,[$cnf( $equal(join(X_729,join(join(X_728,X_729),X_728)),join(X_729,join(X_728,join(X_728,X_729)))) )],[refute_1_669,refute_1_681]) ).
cnf(refute_1_683,plain,
join(join(join(X_728,X_729),X_728),X_729) = join(join(X_728,X_729),join(X_728,X_729)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(join(X_728,X_729))),bind(X1,$fot(X_728)),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_684,plain,
( join(join(X_728,X_729),join(X_728,X_729)) != join(X_729,join(X_728,join(X_728,X_729)))
| join(join(join(X_728,X_729),X_728),X_729) != join(join(X_728,X_729),join(X_728,X_729))
| join(join(join(X_728,X_729),X_728),X_729) = join(X_729,join(X_728,join(X_728,X_729))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(join(X_728,X_729),X_728),X_729))),bind(Y,$fot(join(join(X_728,X_729),join(X_728,X_729)))),bind(Z,$fot(join(X_729,join(X_728,join(X_728,X_729)))))]]) ).
cnf(refute_1_685,plain,
( join(join(X_728,X_729),join(X_728,X_729)) != join(X_729,join(X_728,join(X_728,X_729)))
| join(join(join(X_728,X_729),X_728),X_729) = join(X_729,join(X_728,join(X_728,X_729))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_728,X_729),X_728),X_729),join(join(X_728,X_729),join(X_728,X_729))) )],[refute_1_683,refute_1_684]) ).
cnf(refute_1_686,plain,
join(join(join(X_728,X_729),X_728),X_729) = join(X_729,join(X_728,join(X_728,X_729))),
inference(resolve,[$cnf( $equal(join(join(X_728,X_729),join(X_728,X_729)),join(X_729,join(X_728,join(X_728,X_729)))) )],[refute_1_682,refute_1_685]) ).
cnf(refute_1_687,plain,
( join(X_729,join(X_728,join(X_728,X_729))) != join(X_729,join(X_728,X_729))
| join(join(join(X_728,X_729),X_728),X_729) != join(X_729,join(X_728,join(X_728,X_729)))
| join(join(join(X_728,X_729),X_728),X_729) = join(X_729,join(X_728,X_729)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(join(X_728,X_729),X_728),X_729))),bind(Y,$fot(join(X_729,join(X_728,join(X_728,X_729))))),bind(Z,$fot(join(X_729,join(X_728,X_729))))]]) ).
cnf(refute_1_688,plain,
( join(X_729,join(X_728,join(X_728,X_729))) != join(X_729,join(X_728,X_729))
| join(join(join(X_728,X_729),X_728),X_729) = join(X_729,join(X_728,X_729)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_728,X_729),X_728),X_729),join(X_729,join(X_728,join(X_728,X_729)))) )],[refute_1_686,refute_1_687]) ).
cnf(refute_1_689,plain,
join(join(join(X_728,X_729),X_728),X_729) = join(X_729,join(X_728,X_729)),
inference(resolve,[$cnf( $equal(join(X_729,join(X_728,join(X_728,X_729))),join(X_729,join(X_728,X_729))) )],[refute_1_655,refute_1_688]) ).
cnf(refute_1_690,plain,
( join(X_728,X_729) != join(join(join(X_728,X_729),X_728),X_729)
| join(join(join(X_728,X_729),X_728),X_729) != join(X_729,join(X_728,X_729))
| join(X_728,X_729) = join(X_729,join(X_728,X_729)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_728,X_729),join(X_729,join(X_728,X_729))) ),[0],$fot(join(join(join(X_728,X_729),X_728),X_729))]]) ).
cnf(refute_1_691,plain,
( join(X_728,X_729) != join(join(join(X_728,X_729),X_728),X_729)
| join(X_728,X_729) = join(X_729,join(X_728,X_729)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_728,X_729),X_728),X_729),join(X_729,join(X_728,X_729))) )],[refute_1_689,refute_1_690]) ).
cnf(refute_1_692,plain,
join(X_728,X_729) = join(X_729,join(X_728,X_729)),
inference(resolve,[$cnf( $equal(join(X_728,X_729),join(join(join(X_728,X_729),X_728),X_729)) )],[refute_1_605,refute_1_691]) ).
cnf(refute_1_693,plain,
join(meet(X_703,X_702),meet(complement(X_702),X_703)) = join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(meet(X_703,X_702))),bind(X_729,$fot(meet(complement(X_702),X_703)))]]) ).
cnf(refute_1_694,plain,
X_675 = join(meet(X_675,complement(X1)),complement(join(complement(X_675),complement(X1)))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_1_695,plain,
meet(X_675,X1) = complement(join(complement(X_675),complement(X1))),
inference(subst,[],[refute_1_12:[bind(X0,$fot(X_675))]]) ).
cnf(refute_1_696,plain,
( meet(X_675,X1) != complement(join(complement(X_675),complement(X1)))
| complement(join(complement(X_675),complement(X1))) = meet(X_675,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_675,X1))),bind(Y,$fot(complement(join(complement(X_675),complement(X1)))))]]) ).
cnf(refute_1_697,plain,
complement(join(complement(X_675),complement(X1))) = meet(X_675,X1),
inference(resolve,[$cnf( $equal(meet(X_675,X1),complement(join(complement(X_675),complement(X1)))) )],[refute_1_695,refute_1_696]) ).
cnf(refute_1_698,plain,
( X_675 != join(meet(X_675,complement(X1)),complement(join(complement(X_675),complement(X1))))
| complement(join(complement(X_675),complement(X1))) != meet(X_675,X1)
| X_675 = join(meet(X_675,complement(X1)),meet(X_675,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,complement(X1)),complement(join(complement(X_675),complement(X1))))) ),[1,1],$fot(meet(X_675,X1))]]) ).
cnf(refute_1_699,plain,
( X_675 != join(meet(X_675,complement(X1)),complement(join(complement(X_675),complement(X1))))
| X_675 = join(meet(X_675,complement(X1)),meet(X_675,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_675),complement(X1))),meet(X_675,X1)) )],[refute_1_697,refute_1_698]) ).
cnf(refute_1_700,plain,
X_675 = join(meet(X_675,complement(X1)),meet(X_675,X1)),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(X1)),complement(join(complement(X_675),complement(X1))))) )],[refute_1_694,refute_1_699]) ).
cnf(refute_1_701,plain,
join(meet(X_675,complement(X1)),meet(X_675,X1)) = join(meet(X_675,X1),meet(X_675,complement(X1))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(meet(X_675,X1))),bind(X1,$fot(meet(X_675,complement(X1))))]]) ).
cnf(refute_1_702,plain,
( X_675 != join(meet(X_675,complement(X1)),meet(X_675,X1))
| join(meet(X_675,complement(X1)),meet(X_675,X1)) != join(meet(X_675,X1),meet(X_675,complement(X1)))
| X_675 = join(meet(X_675,X1),meet(X_675,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(meet(X_675,X1),meet(X_675,complement(X1)))) ),[0],$fot(join(meet(X_675,complement(X1)),meet(X_675,X1)))]]) ).
cnf(refute_1_703,plain,
( X_675 != join(meet(X_675,complement(X1)),meet(X_675,X1))
| X_675 = join(meet(X_675,X1),meet(X_675,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(X1)),meet(X_675,X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) )],[refute_1_701,refute_1_702]) ).
cnf(refute_1_704,plain,
X_675 = join(meet(X_675,X1),meet(X_675,complement(X1))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(X1)),meet(X_675,X1))) )],[refute_1_700,refute_1_703]) ).
cnf(refute_1_705,plain,
X_703 = join(meet(X_703,X_702),meet(X_703,complement(X_702))),
inference(subst,[],[refute_1_704:[bind(X1,$fot(X_702)),bind(X_675,$fot(X_703))]]) ).
cnf(refute_1_706,plain,
meet(complement(X_702),X_703) = meet(X_703,complement(X_702)),
inference(subst,[],[refute_1_38:[bind(X_601,$fot(complement(X_702))),bind(X_602,$fot(X_703))]]) ).
cnf(refute_1_707,plain,
( meet(complement(X_702),X_703) != meet(X_703,complement(X_702))
| meet(X_703,complement(X_702)) = meet(complement(X_702),X_703) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(X_702),X_703))),bind(Y,$fot(meet(X_703,complement(X_702))))]]) ).
cnf(refute_1_708,plain,
meet(X_703,complement(X_702)) = meet(complement(X_702),X_703),
inference(resolve,[$cnf( $equal(meet(complement(X_702),X_703),meet(X_703,complement(X_702))) )],[refute_1_706,refute_1_707]) ).
cnf(refute_1_709,plain,
( X_703 != join(meet(X_703,X_702),meet(X_703,complement(X_702)))
| meet(X_703,complement(X_702)) != meet(complement(X_702),X_703)
| X_703 = join(meet(X_703,X_702),meet(complement(X_702),X_703)) ),
introduced(tautology,[equality,[$cnf( $equal(X_703,join(meet(X_703,X_702),meet(X_703,complement(X_702)))) ),[1,1],$fot(meet(complement(X_702),X_703))]]) ).
cnf(refute_1_710,plain,
( X_703 != join(meet(X_703,X_702),meet(X_703,complement(X_702)))
| X_703 = join(meet(X_703,X_702),meet(complement(X_702),X_703)) ),
inference(resolve,[$cnf( $equal(meet(X_703,complement(X_702)),meet(complement(X_702),X_703)) )],[refute_1_708,refute_1_709]) ).
cnf(refute_1_711,plain,
X_703 = join(meet(X_703,X_702),meet(complement(X_702),X_703)),
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,X_702),meet(X_703,complement(X_702)))) )],[refute_1_705,refute_1_710]) ).
cnf(refute_1_712,plain,
( X_703 != join(meet(X_703,X_702),meet(complement(X_702),X_703))
| join(meet(X_703,X_702),meet(complement(X_702),X_703)) = X_703 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_703)),bind(Y,$fot(join(meet(X_703,X_702),meet(complement(X_702),X_703))))]]) ).
cnf(refute_1_713,plain,
join(meet(X_703,X_702),meet(complement(X_702),X_703)) = X_703,
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,X_702),meet(complement(X_702),X_703))) )],[refute_1_711,refute_1_712]) ).
cnf(refute_1_714,plain,
( join(meet(X_703,X_702),meet(complement(X_702),X_703)) != X_703
| join(meet(X_703,X_702),meet(complement(X_702),X_703)) != join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))
| X_703 = join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_703,X_702),meet(complement(X_702),X_703)),join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))) ),[0],$fot(X_703)]]) ).
cnf(refute_1_715,plain,
( join(meet(X_703,X_702),meet(complement(X_702),X_703)) != join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))
| X_703 = join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) ),
inference(resolve,[$cnf( $equal(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_703) )],[refute_1_713,refute_1_714]) ).
cnf(refute_1_716,plain,
X_703 = join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))),
inference(resolve,[$cnf( $equal(join(meet(X_703,X_702),meet(complement(X_702),X_703)),join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))) )],[refute_1_693,refute_1_715]) ).
cnf(refute_1_717,plain,
join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)) = join(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(meet(X_703,X_702))),bind(X1,$fot(meet(complement(X_702),X_703))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_718,plain,
( join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)) != join(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_729)
| join(meet(X_703,X_702),meet(complement(X_702),X_703)) != X_703
| join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)) = join(X_703,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)),join(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_729)) ),[1,0],$fot(X_703)]]) ).
cnf(refute_1_719,plain,
( join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)) != join(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_729)
| join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)) = join(X_703,X_729) ),
inference(resolve,[$cnf( $equal(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_703) )],[refute_1_713,refute_1_718]) ).
cnf(refute_1_720,plain,
join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)) = join(X_703,X_729),
inference(resolve,[$cnf( $equal(join(meet(X_703,X_702),join(meet(complement(X_702),X_703),X_729)),join(join(meet(X_703,X_702),meet(complement(X_702),X_703)),X_729)) )],[refute_1_717,refute_1_719]) ).
cnf(refute_1_721,plain,
join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703))) = join(X_703,meet(complement(X_702),X_703)),
inference(subst,[],[refute_1_720:[bind(X_729,$fot(meet(complement(X_702),X_703)))]]) ).
cnf(refute_1_722,plain,
join(X_728,X_727) = join(X_727,X_728),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_728)),bind(X1,$fot(X_727))]]) ).
cnf(refute_1_723,plain,
( join(X_728,X_727) != join(X_727,X_728)
| join(X_727,X_728) = join(X_728,X_727) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_728,X_727))),bind(Y,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_724,plain,
join(X_727,X_728) = join(X_728,X_727),
inference(resolve,[$cnf( $equal(join(X_728,X_727),join(X_727,X_728)) )],[refute_1_722,refute_1_723]) ).
cnf(refute_1_725,plain,
( join(X_727,X_728) != join(X_728,X_727)
| join(X_727,join(X_728,X_729)) != join(join(X_727,X_728),X_729)
| join(X_727,join(X_728,X_729)) = join(join(X_728,X_727),X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_727,join(X_728,X_729)),join(join(X_727,X_728),X_729)) ),[1,0],$fot(join(X_728,X_727))]]) ).
cnf(refute_1_726,plain,
( join(X_727,join(X_728,X_729)) != join(join(X_727,X_728),X_729)
| join(X_727,join(X_728,X_729)) = join(join(X_728,X_727),X_729) ),
inference(resolve,[$cnf( $equal(join(X_727,X_728),join(X_728,X_727)) )],[refute_1_724,refute_1_725]) ).
cnf(refute_1_727,plain,
join(X_727,join(X_728,X_729)) = join(join(X_728,X_727),X_729),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,X_729)),join(join(X_727,X_728),X_729)) )],[refute_1_656,refute_1_726]) ).
cnf(refute_1_728,plain,
join(join(X_728,X_727),X_729) = join(X_728,join(X_727,X_729)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_728)),bind(X1,$fot(X_727)),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_729,plain,
( join(X_727,join(X_728,X_729)) != join(join(X_728,X_727),X_729)
| join(join(X_728,X_727),X_729) != join(X_728,join(X_727,X_729))
| join(X_727,join(X_728,X_729)) = join(X_728,join(X_727,X_729)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_727,join(X_728,X_729)),join(X_728,join(X_727,X_729))) ),[0],$fot(join(join(X_728,X_727),X_729))]]) ).
cnf(refute_1_730,plain,
( join(X_727,join(X_728,X_729)) != join(join(X_728,X_727),X_729)
| join(X_727,join(X_728,X_729)) = join(X_728,join(X_727,X_729)) ),
inference(resolve,[$cnf( $equal(join(join(X_728,X_727),X_729),join(X_728,join(X_727,X_729))) )],[refute_1_728,refute_1_729]) ).
cnf(refute_1_731,plain,
join(X_727,join(X_728,X_729)) = join(X_728,join(X_727,X_729)),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,X_729)),join(join(X_728,X_727),X_729)) )],[refute_1_727,refute_1_730]) ).
cnf(refute_1_732,plain,
( join(X_727,join(X_728,X_729)) != join(X_728,join(X_727,X_729))
| join(X_728,join(X_727,X_729)) = join(X_727,join(X_728,X_729)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,X_729)))),bind(Y,$fot(join(X_728,join(X_727,X_729))))]]) ).
cnf(refute_1_733,plain,
join(X_728,join(X_727,X_729)) = join(X_727,join(X_728,X_729)),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,X_729)),join(X_728,join(X_727,X_729))) )],[refute_1_731,refute_1_732]) ).
cnf(refute_1_734,plain,
join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) = join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(meet(X_703,X_702))),bind(X_728,$fot(meet(complement(X_702),X_703))),bind(X_729,$fot(meet(complement(X_702),X_703)))]]) ).
cnf(refute_1_735,plain,
( join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703))) != join(X_703,meet(complement(X_702),X_703))
| join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) != join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703)))
| join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) = join(X_703,meet(complement(X_702),X_703)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))))),bind(Y,$fot(join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703))))),bind(Z,$fot(join(X_703,meet(complement(X_702),X_703))))]]) ).
cnf(refute_1_736,plain,
( join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703))) != join(X_703,meet(complement(X_702),X_703))
| join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) = join(X_703,meet(complement(X_702),X_703)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))),join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703)))) )],[refute_1_734,refute_1_735]) ).
cnf(refute_1_737,plain,
join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) = join(X_703,meet(complement(X_702),X_703)),
inference(resolve,[$cnf( $equal(join(meet(X_703,X_702),join(meet(complement(X_702),X_703),meet(complement(X_702),X_703))),join(X_703,meet(complement(X_702),X_703))) )],[refute_1_721,refute_1_736]) ).
cnf(refute_1_738,plain,
( X_703 != join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))
| join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))) != join(X_703,meet(complement(X_702),X_703))
| X_703 = join(X_703,meet(complement(X_702),X_703)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_703,join(X_703,meet(complement(X_702),X_703))) ),[0],$fot(join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))))]]) ).
cnf(refute_1_739,plain,
( X_703 != join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))
| X_703 = join(X_703,meet(complement(X_702),X_703)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703))),join(X_703,meet(complement(X_702),X_703))) )],[refute_1_737,refute_1_738]) ).
cnf(refute_1_740,plain,
X_703 = join(X_703,meet(complement(X_702),X_703)),
inference(resolve,[$cnf( $equal(X_703,join(meet(complement(X_702),X_703),join(meet(X_703,X_702),meet(complement(X_702),X_703)))) )],[refute_1_716,refute_1_739]) ).
cnf(refute_1_741,plain,
join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(join(X_744,complement(join(complement(complement(X_898)),X_744))),meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744))))),
inference(subst,[],[refute_1_740:[bind(X_702,$fot(X_898)),bind(X_703,$fot(join(X_744,complement(join(complement(complement(X_898)),X_744)))))]]) ).
cnf(refute_1_742,plain,
X_675 = join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744)))))),
inference(subst,[],[refute_1_44:[bind(X_676,$fot(join(X_744,complement(join(complement(X_675),X_744)))))]]) ).
cnf(refute_1_743,plain,
top = join(join(X_727,X_728),complement(join(X_727,X_728))),
inference(subst,[],[refute_1_48:[bind(X0,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_744,plain,
join(X_727,join(X_728,complement(join(X_727,X_728)))) = join(join(X_727,X_728),complement(join(X_727,X_728))),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(complement(join(X_727,X_728))))]]) ).
cnf(refute_1_745,plain,
( join(X_727,join(X_728,complement(join(X_727,X_728)))) != join(join(X_727,X_728),complement(join(X_727,X_728)))
| join(join(X_727,X_728),complement(join(X_727,X_728))) = join(X_727,join(X_728,complement(join(X_727,X_728)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,complement(join(X_727,X_728)))))),bind(Y,$fot(join(join(X_727,X_728),complement(join(X_727,X_728)))))]]) ).
cnf(refute_1_746,plain,
join(join(X_727,X_728),complement(join(X_727,X_728))) = join(X_727,join(X_728,complement(join(X_727,X_728)))),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,complement(join(X_727,X_728)))),join(join(X_727,X_728),complement(join(X_727,X_728)))) )],[refute_1_744,refute_1_745]) ).
cnf(refute_1_747,plain,
( join(join(X_727,X_728),complement(join(X_727,X_728))) != join(X_727,join(X_728,complement(join(X_727,X_728))))
| top != join(join(X_727,X_728),complement(join(X_727,X_728)))
| top = join(X_727,join(X_728,complement(join(X_727,X_728)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_727,X_728),complement(join(X_727,X_728)))) ),[1],$fot(join(X_727,join(X_728,complement(join(X_727,X_728)))))]]) ).
cnf(refute_1_748,plain,
( top != join(join(X_727,X_728),complement(join(X_727,X_728)))
| top = join(X_727,join(X_728,complement(join(X_727,X_728)))) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),complement(join(X_727,X_728))),join(X_727,join(X_728,complement(join(X_727,X_728))))) )],[refute_1_746,refute_1_747]) ).
cnf(refute_1_749,plain,
top = join(X_727,join(X_728,complement(join(X_727,X_728)))),
inference(resolve,[$cnf( $equal(top,join(join(X_727,X_728),complement(join(X_727,X_728)))) )],[refute_1_743,refute_1_748]) ).
cnf(refute_1_750,plain,
top = join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744)))),
inference(subst,[],[refute_1_749:[bind(X_727,$fot(complement(X_675))),bind(X_728,$fot(X_744))]]) ).
cnf(refute_1_751,plain,
( top != join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))
| join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))))]]) ).
cnf(refute_1_752,plain,
join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))) )],[refute_1_750,refute_1_751]) ).
cnf(refute_1_753,plain,
( X_675 != join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))))
| join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744)))) != top
| X_675 = join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_754,plain,
( X_675 != join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))))
| X_675 = join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744)))),top) )],[refute_1_752,refute_1_753]) ).
cnf(refute_1_755,plain,
X_675 = join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)),
inference(resolve,[$cnf( $equal(X_675,join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(join(complement(X_675),join(X_744,complement(join(complement(X_675),X_744))))))) )],[refute_1_742,refute_1_754]) ).
cnf(refute_1_756,plain,
join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))))]]) ).
cnf(refute_1_757,plain,
meet(join(X_744,complement(join(complement(X_675),X_744))),X_675) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X_675)),bind(X_602,$fot(join(X_744,complement(join(complement(X_675),X_744)))))]]) ).
cnf(refute_1_758,plain,
join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))]]) ).
cnf(refute_1_759,plain,
( join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))
| meet(join(X_744,complement(join(complement(X_675),X_744))),X_675) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))) ),[1,1],$fot(meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))]]) ).
cnf(refute_1_760,plain,
( meet(join(X_744,complement(join(complement(X_675),X_744))),X_675) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))) )],[refute_1_758,refute_1_759]) ).
cnf(refute_1_761,plain,
join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))),
inference(resolve,[$cnf( $equal(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) )],[refute_1_757,refute_1_760]) ).
cnf(refute_1_762,plain,
join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))]]) ).
cnf(refute_1_763,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_764,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))) )],[refute_1_762,refute_1_763]) ).
cnf(refute_1_765,plain,
join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_764]) ).
cnf(refute_1_766,plain,
( join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))
| join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))),bind(Y,$fot(join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))),bind(Z,$fot(join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))))]]) ).
cnf(refute_1_767,plain,
( join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))) )],[refute_1_765,refute_1_766]) ).
cnf(refute_1_768,plain,
join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))) )],[refute_1_761,refute_1_767]) ).
cnf(refute_1_769,plain,
( join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))
| join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))),bind(Y,$fot(join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))))),bind(Z,$fot(meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))))]]) ).
cnf(refute_1_770,plain,
( join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))))) )],[refute_1_768,refute_1_769]) ).
cnf(refute_1_771,plain,
join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))),meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) )],[refute_1_756,refute_1_770]) ).
cnf(refute_1_772,plain,
join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) = join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))]]) ).
cnf(refute_1_773,plain,
( join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) != join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))
| join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)))),bind(Z,$fot(meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))))]]) ).
cnf(refute_1_774,plain,
( join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)),join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675))) )],[refute_1_772,refute_1_773]) ).
cnf(refute_1_775,plain,
join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_744,complement(join(complement(X_675),X_744))),X_675)),meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) )],[refute_1_771,refute_1_774]) ).
cnf(refute_1_776,plain,
( X_675 != join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top))
| join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)) != meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))
| X_675 = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) ),[0],$fot(join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)))]]) ).
cnf(refute_1_777,plain,
( X_675 != join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top))
| X_675 = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top)),meet(X_675,join(X_744,complement(join(complement(X_675),X_744))))) )],[refute_1_775,refute_1_776]) ).
cnf(refute_1_778,plain,
X_675 = meet(X_675,join(X_744,complement(join(complement(X_675),X_744)))),
inference(resolve,[$cnf( $equal(X_675,join(meet(join(X_744,complement(join(complement(X_675),X_744))),X_675),complement(top))) )],[refute_1_755,refute_1_777]) ).
cnf(refute_1_779,plain,
complement(X_898) = meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))),
inference(subst,[],[refute_1_778:[bind(X_675,$fot(complement(X_898)))]]) ).
cnf(refute_1_780,plain,
( complement(X_898) != meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744))))
| meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))) = complement(X_898) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_898))),bind(Y,$fot(meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744))))))]]) ).
cnf(refute_1_781,plain,
meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))) = complement(X_898),
inference(resolve,[$cnf( $equal(complement(X_898),meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744))))) )],[refute_1_779,refute_1_780]) ).
cnf(refute_1_782,plain,
( join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))))
| meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))) != complement(X_898)
| join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(join(X_744,complement(join(complement(complement(X_898)),X_744))),meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))))) ),[1,1],$fot(complement(X_898))]]) ).
cnf(refute_1_783,plain,
( join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))))
| join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))),complement(X_898)) )],[refute_1_781,refute_1_782]) ).
cnf(refute_1_784,plain,
join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)),
inference(resolve,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(join(X_744,complement(join(complement(complement(X_898)),X_744))),meet(complement(X_898),join(X_744,complement(join(complement(complement(X_898)),X_744)))))) )],[refute_1_741,refute_1_783]) ).
cnf(refute_1_785,plain,
complement(complement(X_898)) = X_898,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(X_898))]]) ).
cnf(refute_1_786,plain,
join(complement(complement(X_898)),X_744) = join(complement(complement(X_898)),X_744),
introduced(tautology,[refl,[$fot(join(complement(complement(X_898)),X_744))]]) ).
cnf(refute_1_787,plain,
( complement(complement(X_898)) != X_898
| join(complement(complement(X_898)),X_744) != join(complement(complement(X_898)),X_744)
| join(complement(complement(X_898)),X_744) = join(X_898,X_744) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_898)),X_744),join(complement(complement(X_898)),X_744)) ),[1,0],$fot(X_898)]]) ).
cnf(refute_1_788,plain,
( complement(complement(X_898)) != X_898
| join(complement(complement(X_898)),X_744) = join(X_898,X_744) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_898)),X_744),join(complement(complement(X_898)),X_744)) )],[refute_1_786,refute_1_787]) ).
cnf(refute_1_789,plain,
join(complement(complement(X_898)),X_744) = join(X_898,X_744),
inference(resolve,[$cnf( $equal(complement(complement(X_898)),X_898) )],[refute_1_785,refute_1_788]) ).
cnf(refute_1_790,plain,
complement(join(complement(complement(X_898)),X_744)) = complement(join(complement(complement(X_898)),X_744)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_898)),X_744)))]]) ).
cnf(refute_1_791,plain,
( complement(join(complement(complement(X_898)),X_744)) != complement(join(complement(complement(X_898)),X_744))
| join(complement(complement(X_898)),X_744) != join(X_898,X_744)
| complement(join(complement(complement(X_898)),X_744)) = complement(join(X_898,X_744)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_898)),X_744)),complement(join(complement(complement(X_898)),X_744))) ),[1,0],$fot(join(X_898,X_744))]]) ).
cnf(refute_1_792,plain,
( join(complement(complement(X_898)),X_744) != join(X_898,X_744)
| complement(join(complement(complement(X_898)),X_744)) = complement(join(X_898,X_744)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_898)),X_744)),complement(join(complement(complement(X_898)),X_744))) )],[refute_1_790,refute_1_791]) ).
cnf(refute_1_793,plain,
complement(join(complement(complement(X_898)),X_744)) = complement(join(X_898,X_744)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_898)),X_744),join(X_898,X_744)) )],[refute_1_789,refute_1_792]) ).
cnf(refute_1_794,plain,
join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(X_744,complement(join(complement(complement(X_898)),X_744))),
introduced(tautology,[refl,[$fot(join(X_744,complement(join(complement(complement(X_898)),X_744))))]]) ).
cnf(refute_1_795,plain,
( complement(join(complement(complement(X_898)),X_744)) != complement(join(X_898,X_744))
| join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(X_744,complement(join(complement(complement(X_898)),X_744)))
| join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(X_744,complement(join(X_898,X_744))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(X_744,complement(join(complement(complement(X_898)),X_744)))) ),[1,1],$fot(complement(join(X_898,X_744)))]]) ).
cnf(refute_1_796,plain,
( complement(join(complement(complement(X_898)),X_744)) != complement(join(X_898,X_744))
| join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(X_744,complement(join(X_898,X_744))) ),
inference(resolve,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(X_744,complement(join(complement(complement(X_898)),X_744)))) )],[refute_1_794,refute_1_795]) ).
cnf(refute_1_797,plain,
join(X_744,complement(join(complement(complement(X_898)),X_744))) = join(X_744,complement(join(X_898,X_744))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_898)),X_744)),complement(join(X_898,X_744))) )],[refute_1_793,refute_1_796]) ).
cnf(refute_1_798,plain,
( join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(X_744,complement(join(X_898,X_744)))
| join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))
| join(X_744,complement(join(X_898,X_744))) = join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))) ),[0],$fot(join(X_744,complement(join(X_898,X_744))))]]) ).
cnf(refute_1_799,plain,
( join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))
| join(X_744,complement(join(X_898,X_744))) = join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(X_744,complement(join(X_898,X_744)))) )],[refute_1_797,refute_1_798]) ).
cnf(refute_1_800,plain,
join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) = join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(meet(X_676,X_675))),bind(X_729,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_801,plain,
( join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) != X_675
| join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) != join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))
| X_675 = join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))) ),[0],$fot(X_675)]]) ).
cnf(refute_1_802,plain,
( join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) != join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))
| X_675 = join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_675) )],[refute_1_456,refute_1_801]) ).
cnf(refute_1_803,plain,
X_675 = join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))) )],[refute_1_800,refute_1_802]) ).
cnf(refute_1_804,plain,
join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)) = join(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(meet(X_676,X_675))),bind(X1,$fot(complement(join(complement(X_675),X_676)))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_805,plain,
( join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) != X_675
| join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)) != join(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_729)
| join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)) = join(X_675,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)),join(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_729)) ),[1,0],$fot(X_675)]]) ).
cnf(refute_1_806,plain,
( join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)) != join(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_729)
| join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)) = join(X_675,X_729) ),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_675) )],[refute_1_456,refute_1_805]) ).
cnf(refute_1_807,plain,
join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)) = join(X_675,X_729),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),X_729)),join(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_729)) )],[refute_1_804,refute_1_806]) ).
cnf(refute_1_808,plain,
join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676)))) = join(X_675,complement(join(complement(X_675),X_676))),
inference(subst,[],[refute_1_807:[bind(X_729,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_809,plain,
join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) = join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676)))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(meet(X_676,X_675))),bind(X_728,$fot(complement(join(complement(X_675),X_676)))),bind(X_729,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_810,plain,
( join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) != join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676))))
| join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676)))) != join(X_675,complement(join(complement(X_675),X_676)))
| join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) = join(X_675,complement(join(complement(X_675),X_676))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))))),bind(Y,$fot(join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676)))))),bind(Z,$fot(join(X_675,complement(join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_811,plain,
( join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676)))) != join(X_675,complement(join(complement(X_675),X_676)))
| join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) = join(X_675,complement(join(complement(X_675),X_676))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676))))) )],[refute_1_809,refute_1_810]) ).
cnf(refute_1_812,plain,
join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) = join(X_675,complement(join(complement(X_675),X_676))),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),join(complement(join(complement(X_675),X_676)),complement(join(complement(X_675),X_676)))),join(X_675,complement(join(complement(X_675),X_676)))) )],[refute_1_808,refute_1_811]) ).
cnf(refute_1_813,plain,
( X_675 != join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))
| join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))) != join(X_675,complement(join(complement(X_675),X_676)))
| X_675 = join(X_675,complement(join(complement(X_675),X_676))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(X_675,complement(join(complement(X_675),X_676)))) ),[0],$fot(join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_814,plain,
( X_675 != join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))
| X_675 = join(X_675,complement(join(complement(X_675),X_676))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),join(X_675,complement(join(complement(X_675),X_676)))) )],[refute_1_812,refute_1_813]) ).
cnf(refute_1_815,plain,
X_675 = join(X_675,complement(join(complement(X_675),X_676))),
inference(resolve,[$cnf( $equal(X_675,join(complement(join(complement(X_675),X_676)),join(meet(X_676,X_675),complement(join(complement(X_675),X_676))))) )],[refute_1_803,refute_1_814]) ).
cnf(refute_1_816,plain,
( X_675 != join(X_675,complement(join(complement(X_675),X_676)))
| join(X_675,complement(join(complement(X_675),X_676))) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(join(X_675,complement(join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_817,plain,
join(X_675,complement(join(complement(X_675),X_676))) = X_675,
inference(resolve,[$cnf( $equal(X_675,join(X_675,complement(join(complement(X_675),X_676)))) )],[refute_1_815,refute_1_816]) ).
cnf(refute_1_818,plain,
join(complement(X_898),complement(join(complement(complement(X_898)),X_744))) = complement(X_898),
inference(subst,[],[refute_1_817:[bind(X_675,$fot(complement(X_898))),bind(X_676,$fot(X_744))]]) ).
cnf(refute_1_819,plain,
join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) = join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))),
introduced(tautology,[refl,[$fot(join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))))]]) ).
cnf(refute_1_820,plain,
( join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) != join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))
| join(complement(X_898),complement(join(complement(complement(X_898)),X_744))) != complement(X_898)
| join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) = join(X_744,complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))),join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))) ),[1,1],$fot(complement(X_898))]]) ).
cnf(refute_1_821,plain,
( join(complement(X_898),complement(join(complement(complement(X_898)),X_744))) != complement(X_898)
| join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) = join(X_744,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))),join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))) )],[refute_1_819,refute_1_820]) ).
cnf(refute_1_822,plain,
join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) = join(X_744,complement(X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_898),complement(join(complement(complement(X_898)),X_744))),complement(X_898)) )],[refute_1_818,refute_1_821]) ).
cnf(refute_1_823,plain,
join(X0,join(X1,join(X_737,X1))) = join(join(X0,X1),join(X_737,X1)),
inference(subst,[],[refute_1_46:[bind(X2,$fot(join(X_737,X1)))]]) ).
cnf(refute_1_824,plain,
join(X_737,X1) = join(X1,join(X_737,X1)),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(X_737)),bind(X_729,$fot(X1))]]) ).
cnf(refute_1_825,plain,
( join(X_737,X1) != join(X1,join(X_737,X1))
| join(X1,join(X_737,X1)) = join(X_737,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_737,X1))),bind(Y,$fot(join(X1,join(X_737,X1))))]]) ).
cnf(refute_1_826,plain,
join(X1,join(X_737,X1)) = join(X_737,X1),
inference(resolve,[$cnf( $equal(join(X_737,X1),join(X1,join(X_737,X1))) )],[refute_1_824,refute_1_825]) ).
cnf(refute_1_827,plain,
( join(X0,join(X1,join(X_737,X1))) != join(join(X0,X1),join(X_737,X1))
| join(X1,join(X_737,X1)) != join(X_737,X1)
| join(X0,join(X_737,X1)) = join(join(X0,X1),join(X_737,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_737,X1))),join(join(X0,X1),join(X_737,X1))) ),[0,1],$fot(join(X_737,X1))]]) ).
cnf(refute_1_828,plain,
( join(X0,join(X1,join(X_737,X1))) != join(join(X0,X1),join(X_737,X1))
| join(X0,join(X_737,X1)) = join(join(X0,X1),join(X_737,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_737,X1)),join(X_737,X1)) )],[refute_1_826,refute_1_827]) ).
cnf(refute_1_829,plain,
join(X0,join(X_737,X1)) = join(join(X0,X1),join(X_737,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_737,X1))),join(join(X0,X1),join(X_737,X1))) )],[refute_1_823,refute_1_828]) ).
cnf(refute_1_830,plain,
join(X0,join(join(X_737,X0),X2)) = join(join(X0,join(X_737,X0)),X2),
inference(subst,[],[refute_1_46:[bind(X1,$fot(join(X_737,X0)))]]) ).
cnf(refute_1_831,plain,
join(X_737,X0) = join(X0,join(X_737,X0)),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(X_737)),bind(X_729,$fot(X0))]]) ).
cnf(refute_1_832,plain,
( join(X_737,X0) != join(X0,join(X_737,X0))
| join(X0,join(X_737,X0)) = join(X_737,X0) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_737,X0))),bind(Y,$fot(join(X0,join(X_737,X0))))]]) ).
cnf(refute_1_833,plain,
join(X0,join(X_737,X0)) = join(X_737,X0),
inference(resolve,[$cnf( $equal(join(X_737,X0),join(X0,join(X_737,X0))) )],[refute_1_831,refute_1_832]) ).
cnf(refute_1_834,plain,
( join(X0,join(X_737,X0)) != join(X_737,X0)
| join(X0,join(join(X_737,X0),X2)) != join(join(X0,join(X_737,X0)),X2)
| join(X0,join(join(X_737,X0),X2)) = join(join(X_737,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(join(X0,join(X_737,X0)),X2)) ),[1,0],$fot(join(X_737,X0))]]) ).
cnf(refute_1_835,plain,
( join(X0,join(join(X_737,X0),X2)) != join(join(X0,join(X_737,X0)),X2)
| join(X0,join(join(X_737,X0),X2)) = join(join(X_737,X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_737,X0)),join(X_737,X0)) )],[refute_1_833,refute_1_834]) ).
cnf(refute_1_836,plain,
join(X0,join(join(X_737,X0),X2)) = join(join(X_737,X0),X2),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(join(X0,join(X_737,X0)),X2)) )],[refute_1_830,refute_1_835]) ).
cnf(refute_1_837,plain,
join(join(X_737,X0),X2) = join(X_737,join(X0,X2)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_737)),bind(X1,$fot(X0))]]) ).
cnf(refute_1_838,plain,
join(X0,join(join(X_737,X0),X2)) = join(X0,join(join(X_737,X0),X2)),
introduced(tautology,[refl,[$fot(join(X0,join(join(X_737,X0),X2)))]]) ).
cnf(refute_1_839,plain,
( join(X0,join(join(X_737,X0),X2)) != join(X0,join(join(X_737,X0),X2))
| join(join(X_737,X0),X2) != join(X_737,join(X0,X2))
| join(X0,join(join(X_737,X0),X2)) = join(X0,join(X_737,join(X0,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(X0,join(join(X_737,X0),X2))) ),[1,1],$fot(join(X_737,join(X0,X2)))]]) ).
cnf(refute_1_840,plain,
( join(join(X_737,X0),X2) != join(X_737,join(X0,X2))
| join(X0,join(join(X_737,X0),X2)) = join(X0,join(X_737,join(X0,X2))) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(X0,join(join(X_737,X0),X2))) )],[refute_1_838,refute_1_839]) ).
cnf(refute_1_841,plain,
join(X0,join(join(X_737,X0),X2)) = join(X0,join(X_737,join(X0,X2))),
inference(resolve,[$cnf( $equal(join(join(X_737,X0),X2),join(X_737,join(X0,X2))) )],[refute_1_837,refute_1_840]) ).
cnf(refute_1_842,plain,
( join(X0,join(join(X_737,X0),X2)) != join(X0,join(X_737,join(X0,X2)))
| join(X0,join(join(X_737,X0),X2)) != join(join(X_737,X0),X2)
| join(X0,join(X_737,join(X0,X2))) = join(join(X_737,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(join(X_737,X0),X2)) ),[0],$fot(join(X0,join(X_737,join(X0,X2))))]]) ).
cnf(refute_1_843,plain,
( join(X0,join(join(X_737,X0),X2)) != join(join(X_737,X0),X2)
| join(X0,join(X_737,join(X0,X2))) = join(join(X_737,X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(X0,join(X_737,join(X0,X2)))) )],[refute_1_841,refute_1_842]) ).
cnf(refute_1_844,plain,
( join(X0,join(X_737,join(X0,X2))) != join(join(X_737,X0),X2)
| join(join(X_737,X0),X2) != join(X_737,join(X0,X2))
| join(X0,join(X_737,join(X0,X2))) = join(X_737,join(X0,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_737,join(X0,X2))),join(X_737,join(X0,X2))) ),[0],$fot(join(join(X_737,X0),X2))]]) ).
cnf(refute_1_845,plain,
( join(X0,join(X_737,join(X0,X2))) != join(join(X_737,X0),X2)
| join(X0,join(X_737,join(X0,X2))) = join(X_737,join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_737,X0),X2),join(X_737,join(X0,X2))) )],[refute_1_837,refute_1_844]) ).
cnf(refute_1_846,plain,
( join(X0,join(join(X_737,X0),X2)) != join(join(X_737,X0),X2)
| join(X0,join(X_737,join(X0,X2))) = join(X_737,join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_737,join(X0,X2))),join(join(X_737,X0),X2)) )],[refute_1_843,refute_1_845]) ).
cnf(refute_1_847,plain,
join(X0,join(X_737,join(X0,X2))) = join(X_737,join(X0,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_737,X0),X2)),join(join(X_737,X0),X2)) )],[refute_1_836,refute_1_846]) ).
cnf(refute_1_848,plain,
join(X1,join(X0,join(X1,X_737))) = join(X0,join(X1,X_737)),
inference(subst,[],[refute_1_847:[bind(X0,$fot(X1)),bind(X2,$fot(X_737)),bind(X_737,$fot(X0))]]) ).
cnf(refute_1_849,plain,
join(join(X0,X1),X_737) = join(X0,join(X1,X_737)),
inference(subst,[],[refute_1_62:[bind(X2,$fot(X_737))]]) ).
cnf(refute_1_850,plain,
join(X1,join(join(X0,X1),X_737)) = join(X1,join(join(X0,X1),X_737)),
introduced(tautology,[refl,[$fot(join(X1,join(join(X0,X1),X_737)))]]) ).
cnf(refute_1_851,plain,
( join(X1,join(join(X0,X1),X_737)) != join(X1,join(join(X0,X1),X_737))
| join(join(X0,X1),X_737) != join(X0,join(X1,X_737))
| join(X1,join(join(X0,X1),X_737)) = join(X1,join(X0,join(X1,X_737))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(join(X0,X1),X_737)),join(X1,join(join(X0,X1),X_737))) ),[1,1],$fot(join(X0,join(X1,X_737)))]]) ).
cnf(refute_1_852,plain,
( join(join(X0,X1),X_737) != join(X0,join(X1,X_737))
| join(X1,join(join(X0,X1),X_737)) = join(X1,join(X0,join(X1,X_737))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_737)),join(X1,join(join(X0,X1),X_737))) )],[refute_1_850,refute_1_851]) ).
cnf(refute_1_853,plain,
join(X1,join(join(X0,X1),X_737)) = join(X1,join(X0,join(X1,X_737))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_737),join(X0,join(X1,X_737))) )],[refute_1_849,refute_1_852]) ).
cnf(refute_1_854,plain,
( join(X1,join(X0,join(X1,X_737))) != join(X0,join(X1,X_737))
| join(X1,join(join(X0,X1),X_737)) != join(X1,join(X0,join(X1,X_737)))
| join(X1,join(join(X0,X1),X_737)) = join(X0,join(X1,X_737)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X1,join(join(X0,X1),X_737)))),bind(Y,$fot(join(X1,join(X0,join(X1,X_737))))),bind(Z,$fot(join(X0,join(X1,X_737))))]]) ).
cnf(refute_1_855,plain,
( join(X1,join(X0,join(X1,X_737))) != join(X0,join(X1,X_737))
| join(X1,join(join(X0,X1),X_737)) = join(X0,join(X1,X_737)) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_737)),join(X1,join(X0,join(X1,X_737)))) )],[refute_1_853,refute_1_854]) ).
cnf(refute_1_856,plain,
join(X1,join(join(X0,X1),X_737)) = join(X0,join(X1,X_737)),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,X_737))),join(X0,join(X1,X_737))) )],[refute_1_848,refute_1_855]) ).
cnf(refute_1_857,plain,
join(join(X0,X1),join(X_737,X1)) = join(X1,join(join(X0,X1),X_737)),
inference(subst,[],[refute_1_678:[bind(X0,$fot(X1)),bind(X_727,$fot(join(X0,X1))),bind(X_728,$fot(X_737))]]) ).
cnf(refute_1_858,plain,
( join(X1,join(join(X0,X1),X_737)) != join(X0,join(X1,X_737))
| join(join(X0,X1),join(X_737,X1)) != join(X1,join(join(X0,X1),X_737))
| join(join(X0,X1),join(X_737,X1)) = join(X0,join(X1,X_737)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X0,X1),join(X_737,X1)))),bind(Y,$fot(join(X1,join(join(X0,X1),X_737)))),bind(Z,$fot(join(X0,join(X1,X_737))))]]) ).
cnf(refute_1_859,plain,
( join(X1,join(join(X0,X1),X_737)) != join(X0,join(X1,X_737))
| join(join(X0,X1),join(X_737,X1)) = join(X0,join(X1,X_737)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_737,X1)),join(X1,join(join(X0,X1),X_737))) )],[refute_1_857,refute_1_858]) ).
cnf(refute_1_860,plain,
join(join(X0,X1),join(X_737,X1)) = join(X0,join(X1,X_737)),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_737)),join(X0,join(X1,X_737))) )],[refute_1_856,refute_1_859]) ).
cnf(refute_1_861,plain,
( join(X0,join(X_737,X1)) != join(join(X0,X1),join(X_737,X1))
| join(join(X0,X1),join(X_737,X1)) != join(X0,join(X1,X_737))
| join(X0,join(X_737,X1)) = join(X0,join(X1,X_737)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_737,X1)),join(X0,join(X1,X_737))) ),[0],$fot(join(join(X0,X1),join(X_737,X1)))]]) ).
cnf(refute_1_862,plain,
( join(X0,join(X_737,X1)) != join(join(X0,X1),join(X_737,X1))
| join(X0,join(X_737,X1)) = join(X0,join(X1,X_737)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_737,X1)),join(X0,join(X1,X_737))) )],[refute_1_860,refute_1_861]) ).
cnf(refute_1_863,plain,
join(X0,join(X_737,X1)) = join(X0,join(X1,X_737)),
inference(resolve,[$cnf( $equal(join(X0,join(X_737,X1)),join(join(X0,X1),join(X_737,X1))) )],[refute_1_829,refute_1_862]) ).
cnf(refute_1_864,plain,
( join(X0,join(X_737,X1)) != join(X0,join(X1,X_737))
| join(X0,join(X1,X_737)) = join(X0,join(X_737,X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X_737,X1)))),bind(Y,$fot(join(X0,join(X1,X_737))))]]) ).
cnf(refute_1_865,plain,
join(X0,join(X1,X_737)) = join(X0,join(X_737,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_737,X1)),join(X0,join(X1,X_737))) )],[refute_1_863,refute_1_864]) ).
cnf(refute_1_866,plain,
join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898))) = join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(X_744)),bind(X1,$fot(complement(join(complement(complement(X_898)),X_744)))),bind(X_737,$fot(complement(X_898)))]]) ).
cnf(refute_1_867,plain,
join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_744)),bind(X1,$fot(complement(join(complement(complement(X_898)),X_744)))),bind(X2,$fot(complement(X_898)))]]) ).
cnf(refute_1_868,plain,
( join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898))) != join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) != join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898)))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)))),bind(Y,$fot(join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898))))),bind(Z,$fot(join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))))]]) ).
cnf(refute_1_869,plain,
( join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898))) != join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) ),
inference(resolve,[$cnf( $equal(join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)),join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898)))) )],[refute_1_867,refute_1_868]) ).
cnf(refute_1_870,plain,
join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))),
inference(resolve,[$cnf( $equal(join(X_744,join(complement(join(complement(complement(X_898)),X_744)),complement(X_898))),join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))) )],[refute_1_866,refute_1_869]) ).
cnf(refute_1_871,plain,
( join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) != join(X_744,complement(X_898))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) != join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,complement(X_898)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)))),bind(Y,$fot(join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))))),bind(Z,$fot(join(X_744,complement(X_898))))]]) ).
cnf(refute_1_872,plain,
( join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))) != join(X_744,complement(X_898))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)),join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744))))) )],[refute_1_870,refute_1_871]) ).
cnf(refute_1_873,plain,
join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) = join(X_744,complement(X_898)),
inference(resolve,[$cnf( $equal(join(X_744,join(complement(X_898),complement(join(complement(complement(X_898)),X_744)))),join(X_744,complement(X_898))) )],[refute_1_822,refute_1_872]) ).
cnf(refute_1_874,plain,
( join(X_744,complement(join(X_898,X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))
| join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)) != join(X_744,complement(X_898))
| join(X_744,complement(join(X_898,X_744))) = join(X_744,complement(X_898)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_744,complement(join(X_898,X_744))),join(X_744,complement(X_898))) ),[0],$fot(join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)))]]) ).
cnf(refute_1_875,plain,
( join(X_744,complement(join(X_898,X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))
| join(X_744,complement(join(X_898,X_744))) = join(X_744,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898)),join(X_744,complement(X_898))) )],[refute_1_873,refute_1_874]) ).
cnf(refute_1_876,plain,
( join(X_744,complement(join(complement(complement(X_898)),X_744))) != join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))
| join(X_744,complement(join(X_898,X_744))) = join(X_744,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(X_744,complement(join(X_898,X_744))),join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))) )],[refute_1_799,refute_1_875]) ).
cnf(refute_1_877,plain,
join(X_744,complement(join(X_898,X_744))) = join(X_744,complement(X_898)),
inference(resolve,[$cnf( $equal(join(X_744,complement(join(complement(complement(X_898)),X_744))),join(join(X_744,complement(join(complement(complement(X_898)),X_744))),complement(X_898))) )],[refute_1_784,refute_1_876]) ).
cnf(refute_1_878,plain,
join(X_676,complement(join(X_758,X_676))) = join(X_676,complement(X_758)),
inference(subst,[],[refute_1_877:[bind(X_744,$fot(X_676)),bind(X_898,$fot(X_758))]]) ).
cnf(refute_1_879,plain,
complement(join(X_676,complement(join(X_758,X_676)))) = complement(join(X_676,complement(join(X_758,X_676)))),
introduced(tautology,[refl,[$fot(complement(join(X_676,complement(join(X_758,X_676)))))]]) ).
cnf(refute_1_880,plain,
( complement(join(X_676,complement(join(X_758,X_676)))) != complement(join(X_676,complement(join(X_758,X_676))))
| join(X_676,complement(join(X_758,X_676))) != join(X_676,complement(X_758))
| complement(join(X_676,complement(join(X_758,X_676)))) = complement(join(X_676,complement(X_758))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_676,complement(join(X_758,X_676)))),complement(join(X_676,complement(join(X_758,X_676))))) ),[1,0],$fot(join(X_676,complement(X_758)))]]) ).
cnf(refute_1_881,plain,
( join(X_676,complement(join(X_758,X_676))) != join(X_676,complement(X_758))
| complement(join(X_676,complement(join(X_758,X_676)))) = complement(join(X_676,complement(X_758))) ),
inference(resolve,[$cnf( $equal(complement(join(X_676,complement(join(X_758,X_676)))),complement(join(X_676,complement(join(X_758,X_676))))) )],[refute_1_879,refute_1_880]) ).
cnf(refute_1_882,plain,
complement(join(X_676,complement(join(X_758,X_676)))) = complement(join(X_676,complement(X_758))),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_758,X_676))),join(X_676,complement(X_758))) )],[refute_1_878,refute_1_881]) ).
cnf(refute_1_883,plain,
join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) = join(X_676,complement(join(X_676,complement(join(X_758,X_676))))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(X_676,complement(join(X_758,X_676))))))]]) ).
cnf(refute_1_884,plain,
( complement(join(X_676,complement(join(X_758,X_676)))) != complement(join(X_676,complement(X_758)))
| join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) != join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))
| join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) = join(X_676,complement(join(X_676,complement(X_758)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_758,X_676))))),join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))) ),[1,1],$fot(complement(join(X_676,complement(X_758))))]]) ).
cnf(refute_1_885,plain,
( complement(join(X_676,complement(join(X_758,X_676)))) != complement(join(X_676,complement(X_758)))
| join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) = join(X_676,complement(join(X_676,complement(X_758)))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_758,X_676))))),join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))) )],[refute_1_883,refute_1_884]) ).
cnf(refute_1_886,plain,
join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) = join(X_676,complement(join(X_676,complement(X_758)))),
inference(resolve,[$cnf( $equal(complement(join(X_676,complement(join(X_758,X_676)))),complement(join(X_676,complement(X_758)))) )],[refute_1_882,refute_1_885]) ).
cnf(refute_1_887,plain,
( join(X_676,complement(join(X_676,complement(join(X_758,X_676))))) != join(X_676,complement(join(X_676,complement(X_758))))
| join(X_758,X_676) != join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))
| join(X_758,X_676) = join(X_676,complement(join(X_676,complement(X_758)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))) ),[1],$fot(join(X_676,complement(join(X_676,complement(X_758)))))]]) ).
cnf(refute_1_888,plain,
( join(X_758,X_676) != join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))
| join(X_758,X_676) = join(X_676,complement(join(X_676,complement(X_758)))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_758,X_676))))),join(X_676,complement(join(X_676,complement(X_758))))) )],[refute_1_886,refute_1_887]) ).
cnf(refute_1_889,plain,
join(X_758,X_676) = join(X_676,complement(join(X_676,complement(X_758)))),
inference(resolve,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(X_676,complement(join(X_758,X_676)))))) )],[refute_1_584,refute_1_888]) ).
cnf(refute_1_890,plain,
( join(X_758,X_676) != join(X_676,complement(join(X_676,complement(X_758))))
| join(X_676,complement(join(X_676,complement(X_758)))) = join(X_758,X_676) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_758,X_676))),bind(Y,$fot(join(X_676,complement(join(X_676,complement(X_758))))))]]) ).
cnf(refute_1_891,plain,
join(X_676,complement(join(X_676,complement(X_758)))) = join(X_758,X_676),
inference(resolve,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(X_676,complement(X_758))))) )],[refute_1_889,refute_1_890]) ).
cnf(refute_1_892,plain,
join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) = join(converse(complement(converse(complement(X_713)))),X_713),
inference(subst,[],[refute_1_891:[bind(X_676,$fot(X_713)),bind(X_758,$fot(converse(complement(converse(complement(X_713))))))]]) ).
cnf(refute_1_893,plain,
( join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) != join(converse(complement(converse(complement(X_713)))),X_713)
| join(converse(complement(converse(complement(X_713)))),X_713) != join(X_713,converse(complement(converse(complement(X_713)))))
| join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) = join(X_713,converse(complement(converse(complement(X_713))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))))),bind(Y,$fot(join(converse(complement(converse(complement(X_713)))),X_713))),bind(Z,$fot(join(X_713,converse(complement(converse(complement(X_713)))))))]]) ).
cnf(refute_1_894,plain,
( join(converse(complement(converse(complement(X_713)))),X_713) != join(X_713,converse(complement(converse(complement(X_713)))))
| join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) = join(X_713,converse(complement(converse(complement(X_713))))) ),
inference(resolve,[$cnf( $equal(join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))),join(converse(complement(converse(complement(X_713)))),X_713)) )],[refute_1_892,refute_1_893]) ).
cnf(refute_1_895,plain,
join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) = join(X_713,converse(complement(converse(complement(X_713))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(X_713)))),X_713),join(X_713,converse(complement(converse(complement(X_713)))))) )],[refute_1_558,refute_1_894]) ).
cnf(refute_1_896,plain,
( converse(complement(converse(complement(X_713)))) != join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))
| join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))) != join(X_713,converse(complement(converse(complement(X_713)))))
| converse(complement(converse(complement(X_713)))) = join(X_713,converse(complement(converse(complement(X_713))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_713)))),join(X_713,converse(complement(converse(complement(X_713)))))) ),[0],$fot(join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))))]]) ).
cnf(refute_1_897,plain,
( converse(complement(converse(complement(X_713)))) != join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))
| converse(complement(converse(complement(X_713)))) = join(X_713,converse(complement(converse(complement(X_713))))) ),
inference(resolve,[$cnf( $equal(join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713)))))))),join(X_713,converse(complement(converse(complement(X_713)))))) )],[refute_1_895,refute_1_896]) ).
cnf(refute_1_898,plain,
converse(complement(converse(complement(X_713)))) = join(X_713,converse(complement(converse(complement(X_713))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_713)))),join(X_713,complement(join(X_713,complement(converse(complement(converse(complement(X_713))))))))) )],[refute_1_557,refute_1_897]) ).
cnf(refute_1_899,plain,
converse(complement(converse(complement(converse(complement(converse(X_727))))))) = join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727)))))))),
inference(subst,[],[refute_1_898:[bind(X_713,$fot(converse(complement(converse(X_727)))))]]) ).
cnf(refute_1_900,plain,
( converse(complement(converse(complement(converse(complement(converse(X_727))))))) != join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))
| join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727)))))))) = converse(complement(converse(complement(converse(complement(converse(X_727))))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(complement(converse(complement(converse(X_727))))))))),bind(Y,$fot(join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))))]]) ).
cnf(refute_1_901,plain,
join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727)))))))) = converse(complement(converse(complement(converse(complement(converse(X_727))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(complement(converse(X_727))))))),join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))) )],[refute_1_899,refute_1_900]) ).
cnf(refute_1_902,plain,
( join(X_727,join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))) != top
| join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727)))))))) != converse(complement(converse(complement(converse(complement(converse(X_727)))))))
| join(X_727,converse(complement(converse(complement(converse(complement(converse(X_727)))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_727,join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))),top) ),[0,1],$fot(converse(complement(converse(complement(converse(complement(converse(X_727))))))))]]) ).
cnf(refute_1_903,plain,
( join(X_727,join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))) != top
| join(X_727,converse(complement(converse(complement(converse(complement(converse(X_727)))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727)))))))),converse(complement(converse(complement(converse(complement(converse(X_727)))))))) )],[refute_1_901,refute_1_902]) ).
cnf(refute_1_904,plain,
join(X_727,converse(complement(converse(complement(converse(complement(converse(X_727)))))))) = top,
inference(resolve,[$cnf( $equal(join(X_727,join(converse(complement(converse(X_727))),converse(complement(converse(complement(converse(complement(converse(X_727))))))))),top) )],[refute_1_509,refute_1_903]) ).
cnf(refute_1_905,plain,
join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) = top,
inference(subst,[],[refute_1_904:[bind(X_727,$fot(converse(X0)))]]) ).
cnf(refute_1_906,plain,
( converse(join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) != top
| converse(top) = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_907,plain,
( converse(join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| converse(top) = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))),top) )],[refute_1_905,refute_1_906]) ).
cnf(refute_1_908,plain,
converse(top) = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) )],[refute_1_481,refute_1_907]) ).
cnf(refute_1_909,plain,
( converse(top) != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| converse(top) != top
| top = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) ),[0],$fot(top)]]) ).
cnf(refute_1_910,plain,
( converse(top) != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| top = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_909]) ).
cnf(refute_1_911,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_1_912,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_913,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_1_911,refute_1_912]) ).
cnf(refute_1_914,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_913]) ).
cnf(refute_1_915,plain,
converse(complement(converse(converse(X0)))) = converse(complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_1_916,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_1_917,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) )],[refute_1_915,refute_1_916]) ).
cnf(refute_1_918,plain,
converse(complement(converse(converse(X0)))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_1_914,refute_1_917]) ).
cnf(refute_1_919,plain,
complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(converse(converse(X0))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(converse(X0))))))]]) ).
cnf(refute_1_920,plain,
( complement(converse(complement(converse(converse(X0))))) != complement(converse(complement(converse(converse(X0)))))
| converse(complement(converse(converse(X0)))) != converse(complement(X0))
| complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(converse(X0))))),complement(converse(complement(converse(converse(X0)))))) ),[1,0],$fot(converse(complement(X0)))]]) ).
cnf(refute_1_921,plain,
( converse(complement(converse(converse(X0)))) != converse(complement(X0))
| complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(X0))))),complement(converse(complement(converse(converse(X0)))))) )],[refute_1_919,refute_1_920]) ).
cnf(refute_1_922,plain,
complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(X0))) )],[refute_1_918,refute_1_921]) ).
cnf(refute_1_923,plain,
converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(converse(converse(X0)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(converse(X0)))))))]]) ).
cnf(refute_1_924,plain,
( complement(converse(complement(converse(converse(X0))))) != complement(converse(complement(X0)))
| converse(complement(converse(complement(converse(converse(X0)))))) != converse(complement(converse(complement(converse(converse(X0))))))
| converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X0)))))),converse(complement(converse(complement(converse(converse(X0))))))) ),[1,0],$fot(complement(converse(complement(X0))))]]) ).
cnf(refute_1_925,plain,
( complement(converse(complement(converse(converse(X0))))) != complement(converse(complement(X0)))
| converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X0)))))),converse(complement(converse(complement(converse(converse(X0))))))) )],[refute_1_923,refute_1_924]) ).
cnf(refute_1_926,plain,
converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(X0))))),complement(converse(complement(X0)))) )],[refute_1_922,refute_1_925]) ).
cnf(refute_1_927,plain,
complement(converse(complement(converse(complement(converse(converse(X0))))))) = complement(converse(complement(converse(complement(converse(converse(X0))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(complement(converse(converse(X0))))))))]]) ).
cnf(refute_1_928,plain,
( complement(converse(complement(converse(complement(converse(converse(X0))))))) != complement(converse(complement(converse(complement(converse(converse(X0)))))))
| converse(complement(converse(complement(converse(converse(X0)))))) != converse(complement(converse(complement(X0))))
| complement(converse(complement(converse(complement(converse(converse(X0))))))) = complement(converse(complement(converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(converse(converse(X0))))))),complement(converse(complement(converse(complement(converse(converse(X0)))))))) ),[1,0],$fot(converse(complement(converse(complement(X0)))))]]) ).
cnf(refute_1_929,plain,
( converse(complement(converse(complement(converse(converse(X0)))))) != converse(complement(converse(complement(X0))))
| complement(converse(complement(converse(complement(converse(converse(X0))))))) = complement(converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(converse(converse(X0))))))),complement(converse(complement(converse(complement(converse(converse(X0)))))))) )],[refute_1_927,refute_1_928]) ).
cnf(refute_1_930,plain,
complement(converse(complement(converse(complement(converse(converse(X0))))))) = complement(converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X0)))))),converse(complement(converse(complement(X0))))) )],[refute_1_926,refute_1_929]) ).
cnf(refute_1_931,plain,
converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) = complement(converse(complement(converse(complement(converse(converse(X0))))))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(converse(complement(converse(complement(converse(converse(X0)))))))))]]) ).
cnf(refute_1_932,plain,
( complement(converse(complement(converse(complement(converse(converse(X0))))))) != complement(converse(complement(converse(complement(X0)))))
| converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) != complement(converse(complement(converse(complement(converse(converse(X0)))))))
| converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) = complement(converse(complement(converse(complement(X0))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))),bind(Y,$fot(complement(converse(complement(converse(complement(converse(converse(X0))))))))),bind(Z,$fot(complement(converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_1_933,plain,
( complement(converse(complement(converse(complement(converse(converse(X0))))))) != complement(converse(complement(converse(complement(X0)))))
| converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) = complement(converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))),complement(converse(complement(converse(complement(converse(converse(X0)))))))) )],[refute_1_931,refute_1_932]) ).
cnf(refute_1_934,plain,
converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) = complement(converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(converse(converse(X0))))))),complement(converse(complement(converse(complement(X0)))))) )],[refute_1_930,refute_1_933]) ).
cnf(refute_1_935,plain,
join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) = join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))))]]) ).
cnf(refute_1_936,plain,
( converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) != complement(converse(complement(converse(complement(X0)))))
| join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) = join(X0,complement(converse(complement(converse(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) ),[1,1],$fot(complement(converse(complement(converse(complement(X0))))))]]) ).
cnf(refute_1_937,plain,
( converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))) != complement(converse(complement(converse(complement(X0)))))
| join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) = join(X0,complement(converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) )],[refute_1_935,refute_1_936]) ).
cnf(refute_1_938,plain,
join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) = join(X0,complement(converse(complement(converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))),complement(converse(complement(converse(complement(X0)))))) )],[refute_1_934,refute_1_937]) ).
cnf(refute_1_939,plain,
( join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))) != join(X0,complement(converse(complement(converse(complement(X0))))))
| top != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| top = join(X0,complement(converse(complement(converse(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) ),[1],$fot(join(X0,complement(converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_1_940,plain,
( top != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| top = join(X0,complement(converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0)))))))))),join(X0,complement(converse(complement(converse(complement(X0))))))) )],[refute_1_938,refute_1_939]) ).
cnf(refute_1_941,plain,
( converse(top) != join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))
| top = join(X0,complement(converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) )],[refute_1_910,refute_1_940]) ).
cnf(refute_1_942,plain,
top = join(X0,complement(converse(complement(converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(converse(complement(converse(complement(converse(complement(converse(converse(X0))))))))))) )],[refute_1_908,refute_1_941]) ).
cnf(refute_1_943,plain,
top = join(X_711,complement(converse(complement(converse(complement(X_711)))))),
inference(subst,[],[refute_1_942:[bind(X0,$fot(X_711))]]) ).
cnf(refute_1_944,plain,
( top != join(X_711,complement(converse(complement(converse(complement(X_711))))))
| join(X_711,complement(converse(complement(converse(complement(X_711)))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_711,complement(converse(complement(converse(complement(X_711))))))))]]) ).
cnf(refute_1_945,plain,
join(X_711,complement(converse(complement(converse(complement(X_711)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_711,complement(converse(complement(converse(complement(X_711))))))) )],[refute_1_943,refute_1_944]) ).
cnf(refute_1_946,plain,
( converse(complement(converse(complement(X_711)))) != join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(join(X_711,complement(converse(complement(converse(complement(X_711))))))))
| join(X_711,complement(converse(complement(converse(complement(X_711)))))) != top
| converse(complement(converse(complement(X_711)))) = join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_711)))),join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(join(X_711,complement(converse(complement(converse(complement(X_711))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_947,plain,
( converse(complement(converse(complement(X_711)))) != join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(join(X_711,complement(converse(complement(converse(complement(X_711))))))))
| converse(complement(converse(complement(X_711)))) = join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(X_711,complement(converse(complement(converse(complement(X_711)))))),top) )],[refute_1_945,refute_1_946]) ).
cnf(refute_1_948,plain,
converse(complement(converse(complement(X_711)))) = join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_711)))),join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(join(X_711,complement(converse(complement(converse(complement(X_711))))))))) )],[refute_1_480,refute_1_947]) ).
cnf(refute_1_949,plain,
join(zero,X_711) = X_711,
inference(subst,[],[refute_1_417:[bind(X_675,$fot(X_711))]]) ).
cnf(refute_1_950,plain,
( X_675 != meet(X_675,converse(complement(converse(complement(X_675)))))
| meet(X_675,converse(complement(converse(complement(X_675))))) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(meet(X_675,converse(complement(converse(complement(X_675)))))))]]) ).
cnf(refute_1_951,plain,
meet(X_675,converse(complement(converse(complement(X_675))))) = X_675,
inference(resolve,[$cnf( $equal(X_675,meet(X_675,converse(complement(converse(complement(X_675)))))) )],[refute_1_539,refute_1_950]) ).
cnf(refute_1_952,plain,
meet(X_711,converse(complement(converse(complement(X_711))))) = X_711,
inference(subst,[],[refute_1_951:[bind(X_675,$fot(X_711))]]) ).
cnf(refute_1_953,plain,
join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))))]]) ).
cnf(refute_1_954,plain,
( join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) != join(zero,meet(X_711,converse(complement(converse(complement(X_711))))))
| meet(X_711,converse(complement(converse(complement(X_711))))) != X_711
| join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,X_711) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))),join(zero,meet(X_711,converse(complement(converse(complement(X_711))))))) ),[1,1],$fot(X_711)]]) ).
cnf(refute_1_955,plain,
( meet(X_711,converse(complement(converse(complement(X_711))))) != X_711
| join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,X_711) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))),join(zero,meet(X_711,converse(complement(converse(complement(X_711))))))) )],[refute_1_953,refute_1_954]) ).
cnf(refute_1_956,plain,
join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,X_711),
inference(resolve,[$cnf( $equal(meet(X_711,converse(complement(converse(complement(X_711))))),X_711) )],[refute_1_952,refute_1_955]) ).
cnf(refute_1_957,plain,
join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))))]]) ).
cnf(refute_1_958,plain,
( complement(top) != zero
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) != join(complement(top),meet(X_711,converse(complement(converse(complement(X_711))))))
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),join(complement(top),meet(X_711,converse(complement(converse(complement(X_711))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_959,plain,
( complement(top) != zero
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),join(complement(top),meet(X_711,converse(complement(converse(complement(X_711))))))) )],[refute_1_957,refute_1_958]) ).
cnf(refute_1_960,plain,
join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_959]) ).
cnf(refute_1_961,plain,
( join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) != join(zero,meet(X_711,converse(complement(converse(complement(X_711))))))
| join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) != join(zero,X_711)
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,X_711) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))))),bind(Y,$fot(join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))))),bind(Z,$fot(join(zero,X_711)))]]) ).
cnf(refute_1_962,plain,
( join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))) != join(zero,X_711)
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,X_711) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),join(zero,meet(X_711,converse(complement(converse(complement(X_711))))))) )],[refute_1_960,refute_1_961]) ).
cnf(refute_1_963,plain,
join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = join(zero,X_711),
inference(resolve,[$cnf( $equal(join(zero,meet(X_711,converse(complement(converse(complement(X_711)))))),join(zero,X_711)) )],[refute_1_956,refute_1_962]) ).
cnf(refute_1_964,plain,
( join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) != join(zero,X_711)
| join(zero,X_711) != X_711
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = X_711 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))))),bind(Y,$fot(join(zero,X_711))),bind(Z,$fot(X_711))]]) ).
cnf(refute_1_965,plain,
( join(zero,X_711) != X_711
| join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = X_711 ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),join(zero,X_711)) )],[refute_1_963,refute_1_964]) ).
cnf(refute_1_966,plain,
join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) = X_711,
inference(resolve,[$cnf( $equal(join(zero,X_711),X_711) )],[refute_1_949,refute_1_965]) ).
cnf(refute_1_967,plain,
join(X_676,X_735) = join(meet(X_676,join(X_676,X_735)),complement(join(complement(join(X_676,X_735)),X_676))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(join(X_676,X_735)))]]) ).
cnf(refute_1_968,plain,
X_676 = meet(X_676,join(X_676,X_735)),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(X_676)),bind(X_732,$fot(X_735))]]) ).
cnf(refute_1_969,plain,
( X_676 != meet(X_676,join(X_676,X_735))
| meet(X_676,join(X_676,X_735)) = X_676 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_676)),bind(Y,$fot(meet(X_676,join(X_676,X_735))))]]) ).
cnf(refute_1_970,plain,
meet(X_676,join(X_676,X_735)) = X_676,
inference(resolve,[$cnf( $equal(X_676,meet(X_676,join(X_676,X_735))) )],[refute_1_968,refute_1_969]) ).
cnf(refute_1_971,plain,
( join(X_676,X_735) != join(meet(X_676,join(X_676,X_735)),complement(join(complement(join(X_676,X_735)),X_676)))
| meet(X_676,join(X_676,X_735)) != X_676
| join(X_676,X_735) = join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,X_735),join(meet(X_676,join(X_676,X_735)),complement(join(complement(join(X_676,X_735)),X_676)))) ),[1,0],$fot(X_676)]]) ).
cnf(refute_1_972,plain,
( join(X_676,X_735) != join(meet(X_676,join(X_676,X_735)),complement(join(complement(join(X_676,X_735)),X_676)))
| join(X_676,X_735) = join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) ),
inference(resolve,[$cnf( $equal(meet(X_676,join(X_676,X_735)),X_676) )],[refute_1_970,refute_1_971]) ).
cnf(refute_1_973,plain,
join(X_676,X_735) = join(X_676,complement(join(complement(join(X_676,X_735)),X_676))),
inference(resolve,[$cnf( $equal(join(X_676,X_735),join(meet(X_676,join(X_676,X_735)),complement(join(complement(join(X_676,X_735)),X_676)))) )],[refute_1_967,refute_1_972]) ).
cnf(refute_1_974,plain,
join(complement(join(X_676,X_735)),X_676) = join(X_676,complement(join(X_676,X_735))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_676)),bind(X1,$fot(complement(join(X_676,X_735))))]]) ).
cnf(refute_1_975,plain,
complement(join(complement(join(X_676,X_735)),X_676)) = complement(join(complement(join(X_676,X_735)),X_676)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(X_676,X_735)),X_676)))]]) ).
cnf(refute_1_976,plain,
( complement(join(complement(join(X_676,X_735)),X_676)) != complement(join(complement(join(X_676,X_735)),X_676))
| join(complement(join(X_676,X_735)),X_676) != join(X_676,complement(join(X_676,X_735)))
| complement(join(complement(join(X_676,X_735)),X_676)) = complement(join(X_676,complement(join(X_676,X_735)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(X_676,X_735)),X_676)),complement(join(complement(join(X_676,X_735)),X_676))) ),[1,0],$fot(join(X_676,complement(join(X_676,X_735))))]]) ).
cnf(refute_1_977,plain,
( join(complement(join(X_676,X_735)),X_676) != join(X_676,complement(join(X_676,X_735)))
| complement(join(complement(join(X_676,X_735)),X_676)) = complement(join(X_676,complement(join(X_676,X_735)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_676,X_735)),X_676)),complement(join(complement(join(X_676,X_735)),X_676))) )],[refute_1_975,refute_1_976]) ).
cnf(refute_1_978,plain,
complement(join(complement(join(X_676,X_735)),X_676)) = complement(join(X_676,complement(join(X_676,X_735)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_676,X_735)),X_676),join(X_676,complement(join(X_676,X_735)))) )],[refute_1_974,refute_1_977]) ).
cnf(refute_1_979,plain,
join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) = join(X_676,complement(join(complement(join(X_676,X_735)),X_676))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(complement(join(X_676,X_735)),X_676))))]]) ).
cnf(refute_1_980,plain,
( complement(join(complement(join(X_676,X_735)),X_676)) != complement(join(X_676,complement(join(X_676,X_735))))
| join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) != join(X_676,complement(join(complement(join(X_676,X_735)),X_676)))
| join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) = join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(complement(join(X_676,X_735)),X_676))),join(X_676,complement(join(complement(join(X_676,X_735)),X_676)))) ),[1,1],$fot(complement(join(X_676,complement(join(X_676,X_735)))))]]) ).
cnf(refute_1_981,plain,
( complement(join(complement(join(X_676,X_735)),X_676)) != complement(join(X_676,complement(join(X_676,X_735))))
| join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) = join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(X_676,X_735)),X_676))),join(X_676,complement(join(complement(join(X_676,X_735)),X_676)))) )],[refute_1_979,refute_1_980]) ).
cnf(refute_1_982,plain,
join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) = join(X_676,complement(join(X_676,complement(join(X_676,X_735))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_676,X_735)),X_676)),complement(join(X_676,complement(join(X_676,X_735))))) )],[refute_1_978,refute_1_981]) ).
cnf(refute_1_983,plain,
( join(X_676,X_735) != join(X_676,complement(join(complement(join(X_676,X_735)),X_676)))
| join(X_676,complement(join(complement(join(X_676,X_735)),X_676))) != join(X_676,complement(join(X_676,complement(join(X_676,X_735)))))
| join(X_676,X_735) = join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_676,X_735),join(X_676,complement(join(X_676,complement(join(X_676,X_735)))))) ),[0],$fot(join(X_676,complement(join(complement(join(X_676,X_735)),X_676))))]]) ).
cnf(refute_1_984,plain,
( join(X_676,X_735) != join(X_676,complement(join(complement(join(X_676,X_735)),X_676)))
| join(X_676,X_735) = join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(X_676,X_735)),X_676))),join(X_676,complement(join(X_676,complement(join(X_676,X_735)))))) )],[refute_1_982,refute_1_983]) ).
cnf(refute_1_985,plain,
join(X_676,X_735) = join(X_676,complement(join(X_676,complement(join(X_676,X_735))))),
inference(resolve,[$cnf( $equal(join(X_676,X_735),join(X_676,complement(join(complement(join(X_676,X_735)),X_676)))) )],[refute_1_973,refute_1_984]) ).
cnf(refute_1_986,plain,
( join(X_728,X_729) != join(X_729,join(X_728,X_729))
| join(X_729,join(X_728,X_729)) = join(X_728,X_729) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_728,X_729))),bind(Y,$fot(join(X_729,join(X_728,X_729))))]]) ).
cnf(refute_1_987,plain,
join(X_729,join(X_728,X_729)) = join(X_728,X_729),
inference(resolve,[$cnf( $equal(join(X_728,X_729),join(X_729,join(X_728,X_729))) )],[refute_1_692,refute_1_986]) ).
cnf(refute_1_988,plain,
join(X_676,join(X_735,X_676)) = join(X_735,X_676),
inference(subst,[],[refute_1_987:[bind(X_728,$fot(X_735)),bind(X_729,$fot(X_676))]]) ).
cnf(refute_1_989,plain,
join(join(X_676,X_735),X_676) = join(X_676,join(X_735,X_676)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_676)),bind(X1,$fot(X_735)),bind(X2,$fot(X_676))]]) ).
cnf(refute_1_990,plain,
( join(X_676,join(X_735,X_676)) != join(X_735,X_676)
| join(join(X_676,X_735),X_676) != join(X_676,join(X_735,X_676))
| join(join(X_676,X_735),X_676) = join(X_735,X_676) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_676,X_735),X_676))),bind(Y,$fot(join(X_676,join(X_735,X_676)))),bind(Z,$fot(join(X_735,X_676)))]]) ).
cnf(refute_1_991,plain,
( join(X_676,join(X_735,X_676)) != join(X_735,X_676)
| join(join(X_676,X_735),X_676) = join(X_735,X_676) ),
inference(resolve,[$cnf( $equal(join(join(X_676,X_735),X_676),join(X_676,join(X_735,X_676))) )],[refute_1_989,refute_1_990]) ).
cnf(refute_1_992,plain,
join(join(X_676,X_735),X_676) = join(X_735,X_676),
inference(resolve,[$cnf( $equal(join(X_676,join(X_735,X_676)),join(X_735,X_676)) )],[refute_1_988,refute_1_991]) ).
cnf(refute_1_993,plain,
join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) = join(join(X_676,X_735),X_676),
inference(subst,[],[refute_1_891:[bind(X_758,$fot(join(X_676,X_735)))]]) ).
cnf(refute_1_994,plain,
( join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) != join(join(X_676,X_735),X_676)
| join(join(X_676,X_735),X_676) != join(X_735,X_676)
| join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) = join(X_735,X_676) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_676,complement(join(X_676,complement(join(X_676,X_735))))))),bind(Y,$fot(join(join(X_676,X_735),X_676))),bind(Z,$fot(join(X_735,X_676)))]]) ).
cnf(refute_1_995,plain,
( join(join(X_676,X_735),X_676) != join(X_735,X_676)
| join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) = join(X_735,X_676) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_676,X_735))))),join(join(X_676,X_735),X_676)) )],[refute_1_993,refute_1_994]) ).
cnf(refute_1_996,plain,
join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) = join(X_735,X_676),
inference(resolve,[$cnf( $equal(join(join(X_676,X_735),X_676),join(X_735,X_676)) )],[refute_1_992,refute_1_995]) ).
cnf(refute_1_997,plain,
( join(X_676,X_735) != join(X_676,complement(join(X_676,complement(join(X_676,X_735)))))
| join(X_676,complement(join(X_676,complement(join(X_676,X_735))))) != join(X_735,X_676)
| join(X_676,X_735) = join(X_735,X_676) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_676,X_735),join(X_735,X_676)) ),[0],$fot(join(X_676,complement(join(X_676,complement(join(X_676,X_735))))))]]) ).
cnf(refute_1_998,plain,
( join(X_676,X_735) != join(X_676,complement(join(X_676,complement(join(X_676,X_735)))))
| join(X_676,X_735) = join(X_735,X_676) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_676,X_735))))),join(X_735,X_676)) )],[refute_1_996,refute_1_997]) ).
cnf(refute_1_999,plain,
join(X_676,X_735) = join(X_735,X_676),
inference(resolve,[$cnf( $equal(join(X_676,X_735),join(X_676,complement(join(X_676,complement(join(X_676,X_735)))))) )],[refute_1_985,refute_1_998]) ).
cnf(refute_1_1000,plain,
( join(X_676,X_735) != join(X_735,X_676)
| join(X_735,X_676) = join(X_676,X_735) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_676,X_735))),bind(Y,$fot(join(X_735,X_676)))]]) ).
cnf(refute_1_1001,plain,
join(X_735,X_676) = join(X_676,X_735),
inference(resolve,[$cnf( $equal(join(X_676,X_735),join(X_735,X_676)) )],[refute_1_999,refute_1_1000]) ).
cnf(refute_1_1002,plain,
join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) = join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(complement(top))),bind(X_735,$fot(meet(X_711,converse(complement(converse(complement(X_711)))))))]]) ).
cnf(refute_1_1003,plain,
( join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) != X_711
| join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) != join(complement(top),meet(X_711,converse(complement(converse(complement(X_711))))))
| join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) = X_711 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))))),bind(Z,$fot(X_711))]]) ).
cnf(refute_1_1004,plain,
( join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))) != X_711
| join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) = X_711 ),
inference(resolve,[$cnf( $equal(join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)),join(complement(top),meet(X_711,converse(complement(converse(complement(X_711))))))) )],[refute_1_1002,refute_1_1003]) ).
cnf(refute_1_1005,plain,
join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) = X_711,
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_711,converse(complement(converse(complement(X_711)))))),X_711) )],[refute_1_966,refute_1_1004]) ).
cnf(refute_1_1006,plain,
( converse(complement(converse(complement(X_711)))) != join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top))
| join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)) != X_711
| converse(complement(converse(complement(X_711)))) = X_711 ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_711)))),X_711) ),[0],$fot(join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)))]]) ).
cnf(refute_1_1007,plain,
( converse(complement(converse(complement(X_711)))) != join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top))
| converse(complement(converse(complement(X_711)))) = X_711 ),
inference(resolve,[$cnf( $equal(join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top)),X_711) )],[refute_1_1005,refute_1_1006]) ).
cnf(refute_1_1008,plain,
converse(complement(converse(complement(X_711)))) = X_711,
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_711)))),join(meet(X_711,converse(complement(converse(complement(X_711))))),complement(top))) )],[refute_1_948,refute_1_1007]) ).
cnf(refute_1_1009,plain,
converse(complement(converse(complement(X_936)))) = X_936,
inference(subst,[],[refute_1_1008:[bind(X_711,$fot(X_936))]]) ).
cnf(refute_1_1010,plain,
( converse(complement(converse(complement(X_936)))) != X_936
| converse(converse(complement(converse(complement(X_936))))) != complement(converse(complement(X_936)))
| converse(X_936) = complement(converse(complement(X_936))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(complement(X_936))))),complement(converse(complement(X_936)))) ),[0,0],$fot(X_936)]]) ).
cnf(refute_1_1011,plain,
( converse(converse(complement(converse(complement(X_936))))) != complement(converse(complement(X_936)))
| converse(X_936) = complement(converse(complement(X_936))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_936)))),X_936) )],[refute_1_1009,refute_1_1010]) ).
cnf(refute_1_1012,plain,
converse(X_936) = complement(converse(complement(X_936))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(X_936))))),complement(converse(complement(X_936)))) )],[refute_1_466,refute_1_1011]) ).
cnf(refute_1_1013,plain,
converse(X_937) = complement(converse(complement(X_937))),
inference(subst,[],[refute_1_1012:[bind(X_936,$fot(X_937))]]) ).
cnf(refute_1_1014,plain,
( converse(X_937) != complement(converse(complement(X_937)))
| complement(converse(complement(X_937))) = converse(X_937) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(X_937))),bind(Y,$fot(complement(converse(complement(X_937)))))]]) ).
cnf(refute_1_1015,plain,
complement(converse(complement(X_937))) = converse(X_937),
inference(resolve,[$cnf( $equal(converse(X_937),complement(converse(complement(X_937)))) )],[refute_1_1013,refute_1_1014]) ).
cnf(refute_1_1016,plain,
( complement(converse(complement(X_937))) != converse(X_937)
| converse(complement(X_937)) != complement(complement(converse(complement(X_937))))
| converse(complement(X_937)) = complement(converse(X_937)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_937)),complement(complement(converse(complement(X_937))))) ),[1,0],$fot(converse(X_937))]]) ).
cnf(refute_1_1017,plain,
( converse(complement(X_937)) != complement(complement(converse(complement(X_937))))
| converse(complement(X_937)) = complement(converse(X_937)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(X_937))),converse(X_937)) )],[refute_1_1015,refute_1_1016]) ).
cnf(refute_1_1018,plain,
converse(complement(X_937)) = complement(converse(X_937)),
inference(resolve,[$cnf( $equal(converse(complement(X_937)),complement(complement(converse(complement(X_937))))) )],[refute_1_465,refute_1_1017]) ).
cnf(refute_1_1019,plain,
converse(complement(converse(join(X_1258,X_1257)))) = complement(converse(converse(join(X_1258,X_1257)))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(converse(join(X_1258,X_1257))))]]) ).
cnf(refute_1_1020,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_1_73:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_1021,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_1_1022,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_1_75,refute_1_1021]) ).
cnf(refute_1_1023,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$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_1_1024,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( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_1_1022,refute_1_1023]) ).
cnf(refute_1_1025,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_1_1020,refute_1_1024]) ).
cnf(refute_1_1026,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_1_77:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_1027,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_1_1028,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$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_1_1029,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_1_1027,refute_1_1028]) ).
cnf(refute_1_1030,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_1_1026,refute_1_1029]) ).
cnf(refute_1_1031,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_1_1032,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_1_1033,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( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_1_1031,refute_1_1032]) ).
cnf(refute_1_1034,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_1_1030,refute_1_1033]) ).
cnf(refute_1_1035,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$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_1_1036,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( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_1_1034,refute_1_1035]) ).
cnf(refute_1_1037,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_1_1025,refute_1_1036]) ).
cnf(refute_1_1038,plain,
join(complement(converse(join(X_593,X_594))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) = complement(converse(join(X_593,X_594))),
inference(subst,[],[refute_1_1037:[bind(X0,$fot(join(X_593,X_594))),bind(X1,$fot(X_1255))]]) ).
cnf(refute_1_1039,plain,
join(converse(X_594),converse(X_593)) = join(converse(X_593),converse(X_594)),
inference(subst,[],[refute_1_1:[bind(X0,$fot(converse(X_594))),bind(X1,$fot(converse(X_593)))]]) ).
cnf(refute_1_1040,plain,
converse(join(X_593,X_594)) = join(converse(X_593),converse(X_594)),
inference(subst,[],[refute_1_190:[bind(X0,$fot(X_593)),bind(X1,$fot(X_594))]]) ).
cnf(refute_1_1041,plain,
( converse(join(X_593,X_594)) != join(converse(X_593),converse(X_594))
| join(converse(X_593),converse(X_594)) = converse(join(X_593,X_594)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(X_593,X_594)))),bind(Y,$fot(join(converse(X_593),converse(X_594))))]]) ).
cnf(refute_1_1042,plain,
join(converse(X_593),converse(X_594)) = converse(join(X_593,X_594)),
inference(resolve,[$cnf( $equal(converse(join(X_593,X_594)),join(converse(X_593),converse(X_594))) )],[refute_1_1040,refute_1_1041]) ).
cnf(refute_1_1043,plain,
( join(converse(X_593),converse(X_594)) != converse(join(X_593,X_594))
| join(converse(X_594),converse(X_593)) != join(converse(X_593),converse(X_594))
| join(converse(X_594),converse(X_593)) = converse(join(X_593,X_594)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_594),converse(X_593)),join(converse(X_593),converse(X_594))) ),[1],$fot(converse(join(X_593,X_594)))]]) ).
cnf(refute_1_1044,plain,
( join(converse(X_594),converse(X_593)) != join(converse(X_593),converse(X_594))
| join(converse(X_594),converse(X_593)) = converse(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(join(converse(X_593),converse(X_594)),converse(join(X_593,X_594))) )],[refute_1_1042,refute_1_1043]) ).
cnf(refute_1_1045,plain,
join(converse(X_594),converse(X_593)) = converse(join(X_593,X_594)),
inference(resolve,[$cnf( $equal(join(converse(X_594),converse(X_593)),join(converse(X_593),converse(X_594))) )],[refute_1_1039,refute_1_1044]) ).
cnf(refute_1_1046,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_1_1047,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_1_190,refute_1_1046]) ).
cnf(refute_1_1048,plain,
join(converse(X_594),converse(X_593)) = converse(join(X_594,X_593)),
inference(subst,[],[refute_1_1047:[bind(X0,$fot(X_594)),bind(X1,$fot(X_593))]]) ).
cnf(refute_1_1049,plain,
( join(converse(X_594),converse(X_593)) != converse(join(X_593,X_594))
| join(converse(X_594),converse(X_593)) != converse(join(X_594,X_593))
| converse(join(X_594,X_593)) = converse(join(X_593,X_594)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_594),converse(X_593)),converse(join(X_593,X_594))) ),[0],$fot(converse(join(X_594,X_593)))]]) ).
cnf(refute_1_1050,plain,
( join(converse(X_594),converse(X_593)) != converse(join(X_593,X_594))
| converse(join(X_594,X_593)) = converse(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(join(converse(X_594),converse(X_593)),converse(join(X_594,X_593))) )],[refute_1_1048,refute_1_1049]) ).
cnf(refute_1_1051,plain,
converse(join(X_594,X_593)) = converse(join(X_593,X_594)),
inference(resolve,[$cnf( $equal(join(converse(X_594),converse(X_593)),converse(join(X_593,X_594))) )],[refute_1_1045,refute_1_1050]) ).
cnf(refute_1_1052,plain,
( converse(join(X_594,X_593)) != converse(join(X_593,X_594))
| converse(join(X_593,X_594)) = converse(join(X_594,X_593)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(X_594,X_593)))),bind(Y,$fot(converse(join(X_593,X_594))))]]) ).
cnf(refute_1_1053,plain,
converse(join(X_593,X_594)) = converse(join(X_594,X_593)),
inference(resolve,[$cnf( $equal(converse(join(X_594,X_593)),converse(join(X_593,X_594))) )],[refute_1_1051,refute_1_1052]) ).
cnf(refute_1_1054,plain,
( converse(join(X_593,X_594)) != converse(join(X_594,X_593))
| join(complement(converse(join(X_593,X_594))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) != complement(converse(join(X_593,X_594)))
| join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) = complement(converse(join(X_593,X_594))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_593,X_594))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))),complement(converse(join(X_593,X_594)))) ),[0,0,0],$fot(converse(join(X_594,X_593)))]]) ).
cnf(refute_1_1055,plain,
( join(complement(converse(join(X_593,X_594))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) != complement(converse(join(X_593,X_594)))
| join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) = complement(converse(join(X_593,X_594))) ),
inference(resolve,[$cnf( $equal(converse(join(X_593,X_594)),converse(join(X_594,X_593))) )],[refute_1_1053,refute_1_1054]) ).
cnf(refute_1_1056,plain,
join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) = complement(converse(join(X_593,X_594))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_593,X_594))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))),complement(converse(join(X_593,X_594)))) )],[refute_1_1038,refute_1_1055]) ).
cnf(refute_1_1057,plain,
join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_631,X_632),X_1255))))) = complement(converse(join(X_631,X_632))),
inference(subst,[],[refute_1_1037:[bind(X0,$fot(join(X_631,X_632))),bind(X1,$fot(X_1255))]]) ).
cnf(refute_1_1058,plain,
join(composition(X_632,X_633),composition(X_631,X_633)) = join(composition(X_631,X_633),composition(X_632,X_633)),
inference(subst,[],[refute_1_1:[bind(X0,$fot(composition(X_632,X_633))),bind(X1,$fot(composition(X_631,X_633)))]]) ).
cnf(refute_1_1059,plain,
composition(join(X_631,X_632),X_633) = join(composition(X_631,X_633),composition(X_632,X_633)),
inference(subst,[],[refute_1_163:[bind(X0,$fot(X_631)),bind(X1,$fot(X_632)),bind(X2,$fot(X_633))]]) ).
cnf(refute_1_1060,plain,
( composition(join(X_631,X_632),X_633) != join(composition(X_631,X_633),composition(X_632,X_633))
| join(composition(X_631,X_633),composition(X_632,X_633)) = composition(join(X_631,X_632),X_633) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_631,X_632),X_633))),bind(Y,$fot(join(composition(X_631,X_633),composition(X_632,X_633))))]]) ).
cnf(refute_1_1061,plain,
join(composition(X_631,X_633),composition(X_632,X_633)) = composition(join(X_631,X_632),X_633),
inference(resolve,[$cnf( $equal(composition(join(X_631,X_632),X_633),join(composition(X_631,X_633),composition(X_632,X_633))) )],[refute_1_1059,refute_1_1060]) ).
cnf(refute_1_1062,plain,
( join(composition(X_631,X_633),composition(X_632,X_633)) != composition(join(X_631,X_632),X_633)
| join(composition(X_632,X_633),composition(X_631,X_633)) != join(composition(X_631,X_633),composition(X_632,X_633))
| join(composition(X_632,X_633),composition(X_631,X_633)) = composition(join(X_631,X_632),X_633) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_632,X_633),composition(X_631,X_633)),join(composition(X_631,X_633),composition(X_632,X_633))) ),[1],$fot(composition(join(X_631,X_632),X_633))]]) ).
cnf(refute_1_1063,plain,
( join(composition(X_632,X_633),composition(X_631,X_633)) != join(composition(X_631,X_633),composition(X_632,X_633))
| join(composition(X_632,X_633),composition(X_631,X_633)) = composition(join(X_631,X_632),X_633) ),
inference(resolve,[$cnf( $equal(join(composition(X_631,X_633),composition(X_632,X_633)),composition(join(X_631,X_632),X_633)) )],[refute_1_1061,refute_1_1062]) ).
cnf(refute_1_1064,plain,
join(composition(X_632,X_633),composition(X_631,X_633)) = composition(join(X_631,X_632),X_633),
inference(resolve,[$cnf( $equal(join(composition(X_632,X_633),composition(X_631,X_633)),join(composition(X_631,X_633),composition(X_632,X_633))) )],[refute_1_1058,refute_1_1063]) ).
cnf(refute_1_1065,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_1_1066,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_1_163,refute_1_1065]) ).
cnf(refute_1_1067,plain,
join(composition(X_632,X_633),composition(X_631,X_633)) = composition(join(X_632,X_631),X_633),
inference(subst,[],[refute_1_1066:[bind(X0,$fot(X_632)),bind(X1,$fot(X_631)),bind(X2,$fot(X_633))]]) ).
cnf(refute_1_1068,plain,
( join(composition(X_632,X_633),composition(X_631,X_633)) != composition(join(X_631,X_632),X_633)
| join(composition(X_632,X_633),composition(X_631,X_633)) != composition(join(X_632,X_631),X_633)
| composition(join(X_632,X_631),X_633) = composition(join(X_631,X_632),X_633) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_632,X_633),composition(X_631,X_633)),composition(join(X_631,X_632),X_633)) ),[0],$fot(composition(join(X_632,X_631),X_633))]]) ).
cnf(refute_1_1069,plain,
( join(composition(X_632,X_633),composition(X_631,X_633)) != composition(join(X_631,X_632),X_633)
| composition(join(X_632,X_631),X_633) = composition(join(X_631,X_632),X_633) ),
inference(resolve,[$cnf( $equal(join(composition(X_632,X_633),composition(X_631,X_633)),composition(join(X_632,X_631),X_633)) )],[refute_1_1067,refute_1_1068]) ).
cnf(refute_1_1070,plain,
composition(join(X_632,X_631),X_633) = composition(join(X_631,X_632),X_633),
inference(resolve,[$cnf( $equal(join(composition(X_632,X_633),composition(X_631,X_633)),composition(join(X_631,X_632),X_633)) )],[refute_1_1064,refute_1_1069]) ).
cnf(refute_1_1071,plain,
composition(join(X_632,X_631),X_1255) = composition(join(X_631,X_632),X_1255),
inference(subst,[],[refute_1_1070:[bind(X_633,$fot(X_1255))]]) ).
cnf(refute_1_1072,plain,
( composition(join(X_632,X_631),X_1255) != composition(join(X_631,X_632),X_1255)
| composition(join(X_631,X_632),X_1255) = composition(join(X_632,X_631),X_1255) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_632,X_631),X_1255))),bind(Y,$fot(composition(join(X_631,X_632),X_1255)))]]) ).
cnf(refute_1_1073,plain,
composition(join(X_631,X_632),X_1255) = composition(join(X_632,X_631),X_1255),
inference(resolve,[$cnf( $equal(composition(join(X_632,X_631),X_1255),composition(join(X_631,X_632),X_1255)) )],[refute_1_1071,refute_1_1072]) ).
cnf(refute_1_1074,plain,
( composition(join(X_631,X_632),X_1255) != composition(join(X_632,X_631),X_1255)
| join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_631,X_632),X_1255))))) != complement(converse(join(X_631,X_632)))
| join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_632,X_631),X_1255))))) = complement(converse(join(X_631,X_632))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_631,X_632),X_1255))))),complement(converse(join(X_631,X_632)))) ),[0,1,1,0,0],$fot(composition(join(X_632,X_631),X_1255))]]) ).
cnf(refute_1_1075,plain,
( join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_631,X_632),X_1255))))) != complement(converse(join(X_631,X_632)))
| join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_632,X_631),X_1255))))) = complement(converse(join(X_631,X_632))) ),
inference(resolve,[$cnf( $equal(composition(join(X_631,X_632),X_1255),composition(join(X_632,X_631),X_1255)) )],[refute_1_1073,refute_1_1074]) ).
cnf(refute_1_1076,plain,
join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_632,X_631),X_1255))))) = complement(converse(join(X_631,X_632))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_631,X_632))),composition(X_1255,complement(converse(composition(join(X_631,X_632),X_1255))))),complement(converse(join(X_631,X_632)))) )],[refute_1_1057,refute_1_1075]) ).
cnf(refute_1_1077,plain,
join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) = complement(converse(join(X_594,X_593))),
inference(subst,[],[refute_1_1076:[bind(X_631,$fot(X_594)),bind(X_632,$fot(X_593))]]) ).
cnf(refute_1_1078,plain,
( join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) != complement(converse(join(X_593,X_594)))
| join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) != complement(converse(join(X_594,X_593)))
| complement(converse(join(X_594,X_593))) = complement(converse(join(X_593,X_594))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))),complement(converse(join(X_593,X_594)))) ),[0],$fot(complement(converse(join(X_594,X_593))))]]) ).
cnf(refute_1_1079,plain,
( join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))) != complement(converse(join(X_593,X_594)))
| complement(converse(join(X_594,X_593))) = complement(converse(join(X_593,X_594))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))),complement(converse(join(X_594,X_593)))) )],[refute_1_1077,refute_1_1078]) ).
cnf(refute_1_1080,plain,
complement(converse(join(X_594,X_593))) = complement(converse(join(X_593,X_594))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_594,X_593))),composition(X_1255,complement(converse(composition(join(X_593,X_594),X_1255))))),complement(converse(join(X_593,X_594)))) )],[refute_1_1056,refute_1_1079]) ).
cnf(refute_1_1081,plain,
complement(converse(join(X_1258,X_1257))) = complement(converse(join(X_1257,X_1258))),
inference(subst,[],[refute_1_1080:[bind(X_593,$fot(X_1257)),bind(X_594,$fot(X_1258))]]) ).
cnf(refute_1_1082,plain,
( complement(converse(join(X_1258,X_1257))) != complement(converse(join(X_1257,X_1258)))
| converse(complement(converse(join(X_1258,X_1257)))) != complement(converse(converse(join(X_1258,X_1257))))
| converse(complement(converse(join(X_1257,X_1258)))) = complement(converse(converse(join(X_1258,X_1257)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_1258,X_1257)))),complement(converse(converse(join(X_1258,X_1257))))) ),[0,0],$fot(complement(converse(join(X_1257,X_1258))))]]) ).
cnf(refute_1_1083,plain,
( converse(complement(converse(join(X_1258,X_1257)))) != complement(converse(converse(join(X_1258,X_1257))))
| converse(complement(converse(join(X_1257,X_1258)))) = complement(converse(converse(join(X_1258,X_1257)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_1258,X_1257))),complement(converse(join(X_1257,X_1258)))) )],[refute_1_1081,refute_1_1082]) ).
cnf(refute_1_1084,plain,
converse(complement(converse(join(X_1257,X_1258)))) = complement(converse(converse(join(X_1258,X_1257)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_1258,X_1257)))),complement(converse(converse(join(X_1258,X_1257))))) )],[refute_1_1019,refute_1_1083]) ).
cnf(refute_1_1085,plain,
converse(converse(join(X_1257,X_1258))) = join(X_1257,X_1258),
inference(subst,[],[refute_1_77:[bind(X0,$fot(join(X_1257,X_1258)))]]) ).
cnf(refute_1_1086,plain,
complement(converse(converse(join(X_1257,X_1258)))) = complement(converse(converse(join(X_1257,X_1258)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X_1257,X_1258)))))]]) ).
cnf(refute_1_1087,plain,
( complement(converse(converse(join(X_1257,X_1258)))) != complement(converse(converse(join(X_1257,X_1258))))
| converse(converse(join(X_1257,X_1258))) != join(X_1257,X_1258)
| complement(converse(converse(join(X_1257,X_1258)))) = complement(join(X_1257,X_1258)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X_1257,X_1258)))),complement(converse(converse(join(X_1257,X_1258))))) ),[1,0],$fot(join(X_1257,X_1258))]]) ).
cnf(refute_1_1088,plain,
( converse(converse(join(X_1257,X_1258))) != join(X_1257,X_1258)
| complement(converse(converse(join(X_1257,X_1258)))) = complement(join(X_1257,X_1258)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_1257,X_1258)))),complement(converse(converse(join(X_1257,X_1258))))) )],[refute_1_1086,refute_1_1087]) ).
cnf(refute_1_1089,plain,
complement(converse(converse(join(X_1257,X_1258)))) = complement(join(X_1257,X_1258)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_1257,X_1258))),join(X_1257,X_1258)) )],[refute_1_1085,refute_1_1088]) ).
cnf(refute_1_1090,plain,
converse(complement(converse(join(X_1257,X_1258)))) = complement(converse(converse(join(X_1257,X_1258)))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(converse(join(X_1257,X_1258))))]]) ).
cnf(refute_1_1091,plain,
( complement(converse(converse(join(X_1257,X_1258)))) != complement(join(X_1257,X_1258))
| converse(complement(converse(join(X_1257,X_1258)))) != complement(converse(converse(join(X_1257,X_1258))))
| converse(complement(converse(join(X_1257,X_1258)))) = complement(join(X_1257,X_1258)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(converse(join(X_1257,X_1258)))))),bind(Y,$fot(complement(converse(converse(join(X_1257,X_1258)))))),bind(Z,$fot(complement(join(X_1257,X_1258))))]]) ).
cnf(refute_1_1092,plain,
( complement(converse(converse(join(X_1257,X_1258)))) != complement(join(X_1257,X_1258))
| converse(complement(converse(join(X_1257,X_1258)))) = complement(join(X_1257,X_1258)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_1257,X_1258)))),complement(converse(converse(join(X_1257,X_1258))))) )],[refute_1_1090,refute_1_1091]) ).
cnf(refute_1_1093,plain,
converse(complement(converse(join(X_1257,X_1258)))) = complement(join(X_1257,X_1258)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_1257,X_1258)))),complement(join(X_1257,X_1258))) )],[refute_1_1089,refute_1_1092]) ).
cnf(refute_1_1094,plain,
( converse(complement(converse(join(X_1257,X_1258)))) != complement(converse(converse(join(X_1258,X_1257))))
| converse(complement(converse(join(X_1257,X_1258)))) != complement(join(X_1257,X_1258))
| complement(join(X_1257,X_1258)) = complement(converse(converse(join(X_1258,X_1257)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_1257,X_1258)))),complement(converse(converse(join(X_1258,X_1257))))) ),[0],$fot(complement(join(X_1257,X_1258)))]]) ).
cnf(refute_1_1095,plain,
( converse(complement(converse(join(X_1257,X_1258)))) != complement(converse(converse(join(X_1258,X_1257))))
| complement(join(X_1257,X_1258)) = complement(converse(converse(join(X_1258,X_1257)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_1257,X_1258)))),complement(join(X_1257,X_1258))) )],[refute_1_1093,refute_1_1094]) ).
cnf(refute_1_1096,plain,
converse(converse(join(X_1258,X_1257))) = join(X_1258,X_1257),
inference(subst,[],[refute_1_77:[bind(X0,$fot(join(X_1258,X_1257)))]]) ).
cnf(refute_1_1097,plain,
complement(converse(converse(join(X_1258,X_1257)))) = complement(converse(converse(join(X_1258,X_1257)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X_1258,X_1257)))))]]) ).
cnf(refute_1_1098,plain,
( complement(converse(converse(join(X_1258,X_1257)))) != complement(converse(converse(join(X_1258,X_1257))))
| converse(converse(join(X_1258,X_1257))) != join(X_1258,X_1257)
| complement(converse(converse(join(X_1258,X_1257)))) = complement(join(X_1258,X_1257)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X_1258,X_1257)))),complement(converse(converse(join(X_1258,X_1257))))) ),[1,0],$fot(join(X_1258,X_1257))]]) ).
cnf(refute_1_1099,plain,
( converse(converse(join(X_1258,X_1257))) != join(X_1258,X_1257)
| complement(converse(converse(join(X_1258,X_1257)))) = complement(join(X_1258,X_1257)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_1258,X_1257)))),complement(converse(converse(join(X_1258,X_1257))))) )],[refute_1_1097,refute_1_1098]) ).
cnf(refute_1_1100,plain,
complement(converse(converse(join(X_1258,X_1257)))) = complement(join(X_1258,X_1257)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_1258,X_1257))),join(X_1258,X_1257)) )],[refute_1_1096,refute_1_1099]) ).
cnf(refute_1_1101,plain,
( complement(converse(converse(join(X_1258,X_1257)))) != complement(join(X_1258,X_1257))
| complement(join(X_1257,X_1258)) != complement(converse(converse(join(X_1258,X_1257))))
| complement(join(X_1257,X_1258)) = complement(join(X_1258,X_1257)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_1257,X_1258)),complement(converse(converse(join(X_1258,X_1257))))) ),[1],$fot(complement(join(X_1258,X_1257)))]]) ).
cnf(refute_1_1102,plain,
( complement(join(X_1257,X_1258)) != complement(converse(converse(join(X_1258,X_1257))))
| complement(join(X_1257,X_1258)) = complement(join(X_1258,X_1257)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_1258,X_1257)))),complement(join(X_1258,X_1257))) )],[refute_1_1100,refute_1_1101]) ).
cnf(refute_1_1103,plain,
( converse(complement(converse(join(X_1257,X_1258)))) != complement(converse(converse(join(X_1258,X_1257))))
| complement(join(X_1257,X_1258)) = complement(join(X_1258,X_1257)) ),
inference(resolve,[$cnf( $equal(complement(join(X_1257,X_1258)),complement(converse(converse(join(X_1258,X_1257))))) )],[refute_1_1095,refute_1_1102]) ).
cnf(refute_1_1104,plain,
complement(join(X_1257,X_1258)) = complement(join(X_1258,X_1257)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_1257,X_1258)))),complement(converse(converse(join(X_1258,X_1257))))) )],[refute_1_1084,refute_1_1103]) ).
cnf(refute_1_1105,plain,
complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_1104:[bind(X_1257,$fot(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),bind(X_1258,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_1106,plain,
complement(X_675) = join(meet(X_791,complement(X_675)),complement(join(X_791,complement(complement(X_675))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(complement(X_675))),bind(X_711,$fot(X_791))]]) ).
cnf(refute_1_1107,plain,
( complement(X_675) != join(meet(X_791,complement(X_675)),complement(join(X_791,complement(complement(X_675)))))
| complement(complement(X_675)) != X_675
| complement(X_675) = join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_675),join(meet(X_791,complement(X_675)),complement(join(X_791,complement(complement(X_675)))))) ),[1,1,0,1],$fot(X_675)]]) ).
cnf(refute_1_1108,plain,
( complement(X_675) != join(meet(X_791,complement(X_675)),complement(join(X_791,complement(complement(X_675)))))
| complement(X_675) = join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_1107]) ).
cnf(refute_1_1109,plain,
complement(X_675) = join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))),
inference(resolve,[$cnf( $equal(complement(X_675),join(meet(X_791,complement(X_675)),complement(join(X_791,complement(complement(X_675)))))) )],[refute_1_1106,refute_1_1108]) ).
cnf(refute_1_1110,plain,
join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))) = join(complement(join(X_791,X_675)),meet(X_791,complement(X_675))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(X_791,X_675)))),bind(X1,$fot(meet(X_791,complement(X_675))))]]) ).
cnf(refute_1_1111,plain,
( complement(X_675) != join(meet(X_791,complement(X_675)),complement(join(X_791,X_675)))
| join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))) != join(complement(join(X_791,X_675)),meet(X_791,complement(X_675)))
| complement(X_675) = join(complement(join(X_791,X_675)),meet(X_791,complement(X_675))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_675),join(complement(join(X_791,X_675)),meet(X_791,complement(X_675)))) ),[0],$fot(join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))))]]) ).
cnf(refute_1_1112,plain,
( complement(X_675) != join(meet(X_791,complement(X_675)),complement(join(X_791,X_675)))
| complement(X_675) = join(complement(join(X_791,X_675)),meet(X_791,complement(X_675))) ),
inference(resolve,[$cnf( $equal(join(meet(X_791,complement(X_675)),complement(join(X_791,X_675))),join(complement(join(X_791,X_675)),meet(X_791,complement(X_675)))) )],[refute_1_1110,refute_1_1111]) ).
cnf(refute_1_1113,plain,
complement(X_675) = join(complement(join(X_791,X_675)),meet(X_791,complement(X_675))),
inference(resolve,[$cnf( $equal(complement(X_675),join(meet(X_791,complement(X_675)),complement(join(X_791,X_675)))) )],[refute_1_1109,refute_1_1112]) ).
cnf(refute_1_1114,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1113:[bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_791,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1115,plain,
complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1113:[bind(X_675,$fot(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_791,$fot(complement(one)))]]) ).
cnf(refute_1_1116,plain,
join(X_727,join(complement(X_727),complement(X_1011))) = top,
inference(subst,[],[refute_1_378:[bind(X_729,$fot(complement(X_1011)))]]) ).
cnf(refute_1_1117,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_1_271:[bind(X_675,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_1_1118,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$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_1_1119,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( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_14,refute_1_1118]) ).
cnf(refute_1_1120,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_1_1117,refute_1_1119]) ).
cnf(refute_1_1121,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_1_359:[bind(X_682,$fot(meet(X0,X1)))]]) ).
cnf(refute_1_1122,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_1_1123,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_1_1121,refute_1_1122]) ).
cnf(refute_1_1124,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_1_1120,refute_1_1123]) ).
cnf(refute_1_1125,plain,
join(complement(X_727),complement(X_1011)) = complement(meet(X_727,X_1011)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_727)),bind(X1,$fot(X_1011))]]) ).
cnf(refute_1_1126,plain,
( join(X_727,join(complement(X_727),complement(X_1011))) != top
| join(complement(X_727),complement(X_1011)) != complement(meet(X_727,X_1011))
| join(X_727,complement(meet(X_727,X_1011))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_727,join(complement(X_727),complement(X_1011))),top) ),[0,1],$fot(complement(meet(X_727,X_1011)))]]) ).
cnf(refute_1_1127,plain,
( join(X_727,join(complement(X_727),complement(X_1011))) != top
| join(X_727,complement(meet(X_727,X_1011))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_727),complement(X_1011)),complement(meet(X_727,X_1011))) )],[refute_1_1125,refute_1_1126]) ).
cnf(refute_1_1128,plain,
join(X_727,complement(meet(X_727,X_1011))) = top,
inference(resolve,[$cnf( $equal(join(X_727,join(complement(X_727),complement(X_1011))),top) )],[refute_1_1116,refute_1_1127]) ).
cnf(refute_1_1129,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = top,
inference(subst,[],[refute_1_1128:[bind(X_1011,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(X_727,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1130,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_566:[bind(X_734,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(X_735,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1131,plain,
join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) = meet(complement(skolemFOFtoCNF_X0_1),one),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_1132,plain,
join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) = join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(meet(complement(skolemFOFtoCNF_X0_1),one))),bind(X1,$fot(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)))]]) ).
cnf(refute_1_1133,plain,
( join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) != join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))
| join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) != meet(complement(skolemFOFtoCNF_X0_1),one)
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = meet(complement(skolemFOFtoCNF_X0_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)),meet(complement(skolemFOFtoCNF_X0_1),one)) ),[0],$fot(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)))]]) ).
cnf(refute_1_1134,plain,
( join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)) != meet(complement(skolemFOFtoCNF_X0_1),one)
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = meet(complement(skolemFOFtoCNF_X0_1),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)),join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))) )],[refute_1_1132,refute_1_1133]) ).
cnf(refute_1_1135,plain,
join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = meet(complement(skolemFOFtoCNF_X0_1),one),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(complement(skolemFOFtoCNF_X0_1),one)),meet(complement(skolemFOFtoCNF_X0_1),one)) )],[refute_1_1131,refute_1_1134]) ).
cnf(refute_1_1136,plain,
meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1137,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)))]]) ).
cnf(refute_1_1138,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))
| meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))) ),[1,1],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1139,plain,
( meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))) )],[refute_1_1137,refute_1_1138]) ).
cnf(refute_1_1140,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1136,refute_1_1139]) ).
cnf(refute_1_1141,plain,
meet(complement(skolemFOFtoCNF_X0_1),one) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1142,plain,
join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),
introduced(tautology,[refl,[$fot(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)))]]) ).
cnf(refute_1_1143,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))
| meet(complement(skolemFOFtoCNF_X0_1),one) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1144,plain,
( meet(complement(skolemFOFtoCNF_X0_1),one) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))) )],[refute_1_1142,refute_1_1143]) ).
cnf(refute_1_1145,plain,
join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),one),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1141,refute_1_1144]) ).
cnf(refute_1_1146,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1147,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one))) )],[refute_1_1145,refute_1_1146]) ).
cnf(refute_1_1148,plain,
join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1140,refute_1_1147]) ).
cnf(refute_1_1149,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(skolemFOFtoCNF_X0_1),one)
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(complement(skolemFOFtoCNF_X0_1),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),meet(complement(skolemFOFtoCNF_X0_1),one)) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1150,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(skolemFOFtoCNF_X0_1),one)
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(complement(skolemFOFtoCNF_X0_1),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1148,refute_1_1149]) ).
cnf(refute_1_1151,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(complement(skolemFOFtoCNF_X0_1),one)
| meet(complement(skolemFOFtoCNF_X0_1),one) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0_1),one))]]) ).
cnf(refute_1_1152,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(complement(skolemFOFtoCNF_X0_1),one)
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),one),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1141,refute_1_1151]) ).
cnf(refute_1_1153,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(skolemFOFtoCNF_X0_1),one)
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(complement(skolemFOFtoCNF_X0_1),one)) )],[refute_1_1150,refute_1_1152]) ).
cnf(refute_1_1154,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),meet(complement(skolemFOFtoCNF_X0_1),one)) )],[refute_1_1135,refute_1_1153]) ).
cnf(refute_1_1155,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1156,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1154,refute_1_1155]) ).
cnf(refute_1_1157,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1130,refute_1_1156]) ).
cnf(refute_1_1158,plain,
meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_602,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1159,plain,
( meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1160,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1158,refute_1_1159]) ).
cnf(refute_1_1161,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1157,refute_1_1160]) ).
cnf(refute_1_1162,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1163,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1161,refute_1_1162]) ).
cnf(refute_1_1164,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) != top
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),top) ),[0,1,0],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1165,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) != top
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = top ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1163,refute_1_1164]) ).
cnf(refute_1_1166,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = top,
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),top) )],[refute_1_1129,refute_1_1165]) ).
cnf(refute_1_1167,plain,
join(X0,join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) = join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),
inference(subst,[],[refute_1_46:[bind(X1,$fot(skolemFOFtoCNF_X0_1)),bind(X2,$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1168,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X1,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1169,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,0],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1170,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1163,refute_1_1169]) ).
cnf(refute_1_1171,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1168,refute_1_1170]) ).
cnf(refute_1_1172,plain,
join(complement(X_1010),complement(complement(X_675))) = complement(meet(X_1010,complement(X_675))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_1010)),bind(X1,$fot(complement(X_675)))]]) ).
cnf(refute_1_1173,plain,
( complement(complement(X_675)) != X_675
| join(complement(X_1010),complement(complement(X_675))) != complement(meet(X_1010,complement(X_675)))
| join(complement(X_1010),X_675) = complement(meet(X_1010,complement(X_675))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),complement(complement(X_675))),complement(meet(X_1010,complement(X_675)))) ),[0,1],$fot(X_675)]]) ).
cnf(refute_1_1174,plain,
( join(complement(X_1010),complement(complement(X_675))) != complement(meet(X_1010,complement(X_675)))
| join(complement(X_1010),X_675) = complement(meet(X_1010,complement(X_675))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_1173]) ).
cnf(refute_1_1175,plain,
join(complement(X_1010),X_675) = complement(meet(X_1010,complement(X_675))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),complement(complement(X_675))),complement(meet(X_1010,complement(X_675)))) )],[refute_1_1172,refute_1_1174]) ).
cnf(refute_1_1176,plain,
( join(complement(X_1010),X_675) != complement(meet(X_1010,complement(X_675)))
| complement(meet(X_1010,complement(X_675))) = join(complement(X_1010),X_675) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(X_1010),X_675))),bind(Y,$fot(complement(meet(X_1010,complement(X_675)))))]]) ).
cnf(refute_1_1177,plain,
complement(meet(X_1010,complement(X_675))) = join(complement(X_1010),X_675),
inference(resolve,[$cnf( $equal(join(complement(X_1010),X_675),complement(meet(X_1010,complement(X_675)))) )],[refute_1_1175,refute_1_1176]) ).
cnf(refute_1_1178,plain,
complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),
inference(subst,[],[refute_1_1177:[bind(X_1010,$fot(one)),bind(X_675,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1179,plain,
meet(X0,X1) = meet(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1)))),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(meet(X0,X1))),bind(X_732,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_1_1180,plain,
( X0 != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),complement(join(complement(X0),X1))) = X0 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X0)),bind(Y,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_1_1181,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(resolve,[$cnf( $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_26,refute_1_1180]) ).
cnf(refute_1_1182,plain,
( join(meet(X0,X1),complement(join(complement(X0),X1))) != X0
| meet(X0,X1) != meet(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1))))
| meet(X0,X1) = meet(meet(X0,X1),X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,X1),meet(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1))))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_1183,plain,
( meet(X0,X1) != meet(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1))))
| meet(X0,X1) = meet(meet(X0,X1),X0) ),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),complement(join(complement(X0),X1))),X0) )],[refute_1_1181,refute_1_1182]) ).
cnf(refute_1_1184,plain,
meet(X0,X1) = meet(meet(X0,X1),X0),
inference(resolve,[$cnf( $equal(meet(X0,X1),meet(meet(X0,X1),join(meet(X0,X1),complement(join(complement(X0),X1))))) )],[refute_1_1179,refute_1_1183]) ).
cnf(refute_1_1185,plain,
meet(meet(X0,X1),X0) = meet(X0,meet(X0,X1)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X0)),bind(X_602,$fot(meet(X0,X1)))]]) ).
cnf(refute_1_1186,plain,
( meet(X0,X1) != meet(meet(X0,X1),X0)
| meet(meet(X0,X1),X0) != meet(X0,meet(X0,X1))
| meet(X0,X1) = meet(X0,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X0,X1),meet(X0,meet(X0,X1))) ),[0],$fot(meet(meet(X0,X1),X0))]]) ).
cnf(refute_1_1187,plain,
( meet(X0,X1) != meet(meet(X0,X1),X0)
| meet(X0,X1) = meet(X0,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(meet(X0,X1),X0),meet(X0,meet(X0,X1))) )],[refute_1_1185,refute_1_1186]) ).
cnf(refute_1_1188,plain,
meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(resolve,[$cnf( $equal(meet(X0,X1),meet(meet(X0,X1),X0)) )],[refute_1_1184,refute_1_1187]) ).
cnf(refute_1_1189,plain,
( meet(X0,X1) != meet(X0,meet(X0,X1))
| meet(X0,meet(X0,X1)) = meet(X0,X1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(meet(X0,meet(X0,X1))))]]) ).
cnf(refute_1_1190,plain,
meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),meet(X0,meet(X0,X1))) )],[refute_1_1188,refute_1_1189]) ).
cnf(refute_1_1191,plain,
meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(subst,[],[refute_1_1190:[bind(X0,$fot(one)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1192,plain,
complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),
introduced(tautology,[refl,[$fot(complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1193,plain,
( complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,0],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1194,plain,
( meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1192,refute_1_1193]) ).
cnf(refute_1_1195,plain,
complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1191,refute_1_1194]) ).
cnf(refute_1_1196,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),bind(Z,$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1197,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1195,refute_1_1196]) ).
cnf(refute_1_1198,plain,
complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1178,refute_1_1197]) ).
cnf(refute_1_1199,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))))]]) ).
cnf(refute_1_1200,plain,
( complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))) ),[1,1],$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1201,plain,
( complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1199,refute_1_1200]) ).
cnf(refute_1_1202,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1198,refute_1_1201]) ).
cnf(refute_1_1203,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(X_1011)) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X1,$fot(X_1011))]]) ).
cnf(refute_1_1204,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_711,$fot(one))]]) ).
cnf(refute_1_1205,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1206,plain,
complement(skolemFOFtoCNF_X0_1) = join(meet(complement(one),complement(skolemFOFtoCNF_X0_1)),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_711,$fot(complement(one)))]]) ).
cnf(refute_1_1207,plain,
complement(X_675) = join(meet(X_713,complement(X_675)),complement(join(complement(complement(X_675)),X_713))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(complement(X_675))),bind(X_676,$fot(X_713))]]) ).
cnf(refute_1_1208,plain,
( complement(X_675) != join(meet(X_713,complement(X_675)),complement(join(complement(complement(X_675)),X_713)))
| complement(complement(X_675)) != X_675
| complement(X_675) = join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_675),join(meet(X_713,complement(X_675)),complement(join(complement(complement(X_675)),X_713)))) ),[1,1,0,0],$fot(X_675)]]) ).
cnf(refute_1_1209,plain,
( complement(X_675) != join(meet(X_713,complement(X_675)),complement(join(complement(complement(X_675)),X_713)))
| complement(X_675) = join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_1208]) ).
cnf(refute_1_1210,plain,
complement(X_675) = join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))),
inference(resolve,[$cnf( $equal(complement(X_675),join(meet(X_713,complement(X_675)),complement(join(complement(complement(X_675)),X_713)))) )],[refute_1_1207,refute_1_1209]) ).
cnf(refute_1_1211,plain,
join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))) = join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(X_675,X_713)))),bind(X1,$fot(meet(X_713,complement(X_675))))]]) ).
cnf(refute_1_1212,plain,
( complement(X_675) != join(meet(X_713,complement(X_675)),complement(join(X_675,X_713)))
| join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))) != join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))
| complement(X_675) = join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_675),join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))) ),[0],$fot(join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))))]]) ).
cnf(refute_1_1213,plain,
( complement(X_675) != join(meet(X_713,complement(X_675)),complement(join(X_675,X_713)))
| complement(X_675) = join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))) ),
inference(resolve,[$cnf( $equal(join(meet(X_713,complement(X_675)),complement(join(X_675,X_713))),join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))) )],[refute_1_1211,refute_1_1212]) ).
cnf(refute_1_1214,plain,
complement(X_675) = join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))),
inference(resolve,[$cnf( $equal(complement(X_675),join(meet(X_713,complement(X_675)),complement(join(X_675,X_713)))) )],[refute_1_1210,refute_1_1213]) ).
cnf(refute_1_1215,plain,
complement(one) = join(complement(join(one,complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(one)),bind(X_713,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1216,plain,
join(one,join(skolemFOFtoCNF_X0_1,X_729)) = join(join(one,skolemFOFtoCNF_X0_1),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0_1)),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_1217,plain,
join(skolemFOFtoCNF_X0_1,one) = one,
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_1218,plain,
join(skolemFOFtoCNF_X0_1,one) = join(one,skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_6:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1219,plain,
( join(skolemFOFtoCNF_X0_1,one) != join(one,skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,one) != one
| join(one,skolemFOFtoCNF_X0_1) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,one),one) ),[0],$fot(join(one,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1220,plain,
( join(skolemFOFtoCNF_X0_1,one) != one
| join(one,skolemFOFtoCNF_X0_1) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,one),join(one,skolemFOFtoCNF_X0_1)) )],[refute_1_1218,refute_1_1219]) ).
cnf(refute_1_1221,plain,
join(one,skolemFOFtoCNF_X0_1) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,one),one) )],[refute_1_1217,refute_1_1220]) ).
cnf(refute_1_1222,plain,
( join(one,join(skolemFOFtoCNF_X0_1,X_729)) != join(join(one,skolemFOFtoCNF_X0_1),X_729)
| join(one,skolemFOFtoCNF_X0_1) != one
| join(one,join(skolemFOFtoCNF_X0_1,X_729)) = join(one,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,X_729)),join(join(one,skolemFOFtoCNF_X0_1),X_729)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_1223,plain,
( join(one,join(skolemFOFtoCNF_X0_1,X_729)) != join(join(one,skolemFOFtoCNF_X0_1),X_729)
| join(one,join(skolemFOFtoCNF_X0_1,X_729)) = join(one,X_729) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_1221,refute_1_1222]) ).
cnf(refute_1_1224,plain,
join(one,join(skolemFOFtoCNF_X0_1,X_729)) = join(one,X_729),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,X_729)),join(join(one,skolemFOFtoCNF_X0_1),X_729)) )],[refute_1_1216,refute_1_1223]) ).
cnf(refute_1_1225,plain,
join(one,join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))) = join(one,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1226,plain,
top = join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_48:[bind(X0,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1227,plain,
( top != join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1228,plain,
join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1)) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1226,refute_1_1227]) ).
cnf(refute_1_1229,plain,
( join(one,join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))) != join(one,complement(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1)) != top
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))),join(one,complement(skolemFOFtoCNF_X0_1))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_1230,plain,
( join(one,join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))) != join(one,complement(skolemFOFtoCNF_X0_1))
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1)),top) )],[refute_1_1228,refute_1_1229]) ).
cnf(refute_1_1231,plain,
join(one,top) = join(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,complement(skolemFOFtoCNF_X0_1))),join(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1225,refute_1_1230]) ).
cnf(refute_1_1232,plain,
join(X0,top) = join(top,X0),
inference(subst,[],[refute_1_1:[bind(X1,$fot(top))]]) ).
cnf(refute_1_1233,plain,
top = join(top,X0),
inference(subst,[],[refute_1_372:[bind(X1,$fot(X0))]]) ).
cnf(refute_1_1234,plain,
( top != join(top,X0)
| join(top,X0) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X0)))]]) ).
cnf(refute_1_1235,plain,
join(top,X0) = top,
inference(resolve,[$cnf( $equal(top,join(top,X0)) )],[refute_1_1233,refute_1_1234]) ).
cnf(refute_1_1236,plain,
( join(X0,top) != join(top,X0)
| join(top,X0) != top
| join(X0,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,top),top) ),[0],$fot(join(top,X0))]]) ).
cnf(refute_1_1237,plain,
( join(X0,top) != join(top,X0)
| join(X0,top) = top ),
inference(resolve,[$cnf( $equal(join(top,X0),top) )],[refute_1_1235,refute_1_1236]) ).
cnf(refute_1_1238,plain,
join(X0,top) = top,
inference(resolve,[$cnf( $equal(join(X0,top),join(top,X0)) )],[refute_1_1232,refute_1_1237]) ).
cnf(refute_1_1239,plain,
join(one,top) = top,
inference(subst,[],[refute_1_1238:[bind(X0,$fot(one))]]) ).
cnf(refute_1_1240,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0_1))
| join(one,top) != top
| top = join(one,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0_1))) ),[0],$fot(top)]]) ).
cnf(refute_1_1241,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0_1))
| top = join(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_1240]) ).
cnf(refute_1_1242,plain,
top = join(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1231,refute_1_1241]) ).
cnf(refute_1_1243,plain,
( top != join(one,complement(skolemFOFtoCNF_X0_1))
| join(one,complement(skolemFOFtoCNF_X0_1)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1244,plain,
join(one,complement(skolemFOFtoCNF_X0_1)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1242,refute_1_1243]) ).
cnf(refute_1_1245,plain,
( complement(one) != join(complement(join(one,complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| join(one,complement(skolemFOFtoCNF_X0_1)) != top
| complement(one) = join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_1246,plain,
( complement(one) != join(complement(join(one,complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| complement(one) = join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0_1)),top) )],[refute_1_1244,refute_1_1245]) ).
cnf(refute_1_1247,plain,
complement(one) = join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_1215,refute_1_1246]) ).
cnf(refute_1_1248,plain,
join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1249,plain,
meet(complement(skolemFOFtoCNF_X0_1),complement(one)) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1250,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))))]]) ).
cnf(refute_1_1251,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| meet(complement(skolemFOFtoCNF_X0_1),complement(one)) != meet(complement(one),complement(skolemFOFtoCNF_X0_1))
| join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) ),[1,1],$fot(meet(complement(one),complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1252,plain,
( meet(complement(skolemFOFtoCNF_X0_1),complement(one)) != meet(complement(one),complement(skolemFOFtoCNF_X0_1))
| join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_1250,refute_1_1251]) ).
cnf(refute_1_1253,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),complement(one)),meet(complement(one),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1249,refute_1_1252]) ).
cnf(refute_1_1254,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))))]]) ).
cnf(refute_1_1255,plain,
( complement(top) != zero
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1256,plain,
( complement(top) != zero
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_1254,refute_1_1255]) ).
cnf(refute_1_1257,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1256]) ).
cnf(refute_1_1258,plain,
( join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))))),bind(Z,$fot(join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1259,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_1257,refute_1_1258]) ).
cnf(refute_1_1260,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1253,refute_1_1259]) ).
cnf(refute_1_1261,plain,
( join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1)))
| join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) != meet(complement(one),complement(skolemFOFtoCNF_X0_1))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))))),bind(Y,$fot(join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1262,plain,
( join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))) != meet(complement(one),complement(skolemFOFtoCNF_X0_1))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1260,refute_1_1261]) ).
cnf(refute_1_1263,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0_1))),meet(complement(one),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1248,refute_1_1262]) ).
cnf(refute_1_1264,plain,
( complement(one) != join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))) != meet(complement(one),complement(skolemFOFtoCNF_X0_1))
| complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(skolemFOFtoCNF_X0_1))) ),[0],$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))))]]) ).
cnf(refute_1_1265,plain,
( complement(one) != join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))
| complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one))),meet(complement(one),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1263,refute_1_1264]) ).
cnf(refute_1_1266,plain,
complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_1247,refute_1_1265]) ).
cnf(refute_1_1267,plain,
( complement(one) != meet(complement(one),complement(skolemFOFtoCNF_X0_1))
| meet(complement(one),complement(skolemFOFtoCNF_X0_1)) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1268,plain,
meet(complement(one),complement(skolemFOFtoCNF_X0_1)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1266,refute_1_1267]) ).
cnf(refute_1_1269,plain,
( complement(skolemFOFtoCNF_X0_1) != join(meet(complement(one),complement(skolemFOFtoCNF_X0_1)),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(one),complement(skolemFOFtoCNF_X0_1)) != complement(one)
| complement(skolemFOFtoCNF_X0_1) = join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(meet(complement(one),complement(skolemFOFtoCNF_X0_1)),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_1270,plain,
( complement(skolemFOFtoCNF_X0_1) != join(meet(complement(one),complement(skolemFOFtoCNF_X0_1)),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))
| complement(skolemFOFtoCNF_X0_1) = join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(skolemFOFtoCNF_X0_1)),complement(one)) )],[refute_1_1268,refute_1_1269]) ).
cnf(refute_1_1271,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(meet(complement(one),complement(skolemFOFtoCNF_X0_1)),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1206,refute_1_1270]) ).
cnf(refute_1_1272,plain,
join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1273,plain,
meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) = meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1274,plain,
( join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) != meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))
| meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))),meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1275,plain,
( join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))),meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1273,refute_1_1274]) ).
cnf(refute_1_1276,plain,
meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1272,refute_1_1275]) ).
cnf(refute_1_1277,plain,
complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1278,plain,
( complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))
| meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1279,plain,
( meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1277,refute_1_1278]) ).
cnf(refute_1_1280,plain,
complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1276,refute_1_1279]) ).
cnf(refute_1_1281,plain,
join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1282,plain,
( complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1283,plain,
( complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1281,refute_1_1282]) ).
cnf(refute_1_1284,plain,
join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1280,refute_1_1283]) ).
cnf(refute_1_1285,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(skolemFOFtoCNF_X0_1) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0_1),complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1286,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))
| complement(skolemFOFtoCNF_X0_1) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1284,refute_1_1285]) ).
cnf(refute_1_1287,plain,
complement(skolemFOFtoCNF_X0_1) = complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(one),complement(join(complement(one),complement(complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1271,refute_1_1286]) ).
cnf(refute_1_1288,plain,
( complement(skolemFOFtoCNF_X0_1) != complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0_1))),bind(Y,$fot(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1289,plain,
complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1287,refute_1_1288]) ).
cnf(refute_1_1290,plain,
( complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(skolemFOFtoCNF_X0_1)
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1291,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1289,refute_1_1290]) ).
cnf(refute_1_1292,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(complement(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1205,refute_1_1291]) ).
cnf(refute_1_1293,plain,
complement(complement(skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1294,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(complement(skolemFOFtoCNF_X0_1))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(complement(skolemFOFtoCNF_X0_1))) ),[1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_1295,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(complement(skolemFOFtoCNF_X0_1))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_1293,refute_1_1294]) ).
cnf(refute_1_1296,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1292,refute_1_1295]) ).
cnf(refute_1_1297,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_1298,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) )],[refute_1_1296,refute_1_1297]) ).
cnf(refute_1_1299,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1204,refute_1_1298]) ).
cnf(refute_1_1300,plain,
join(meet(X_675,X1),meet(X_675,complement(X1))) = join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(meet(X_675,X1))),bind(X_729,$fot(meet(X_675,complement(X1))))]]) ).
cnf(refute_1_1301,plain,
( X_675 != join(meet(X_675,X1),meet(X_675,complement(X1)))
| join(meet(X_675,X1),meet(X_675,complement(X1))) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(join(meet(X_675,X1),meet(X_675,complement(X1)))))]]) ).
cnf(refute_1_1302,plain,
join(meet(X_675,X1),meet(X_675,complement(X1))) = X_675,
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,X1),meet(X_675,complement(X1)))) )],[refute_1_704,refute_1_1301]) ).
cnf(refute_1_1303,plain,
( join(meet(X_675,X1),meet(X_675,complement(X1))) != X_675
| join(meet(X_675,X1),meet(X_675,complement(X1))) != join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))
| X_675 = join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_675,X1),meet(X_675,complement(X1))),join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))) ),[0],$fot(X_675)]]) ).
cnf(refute_1_1304,plain,
( join(meet(X_675,X1),meet(X_675,complement(X1))) != join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))
| X_675 = join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,X1),meet(X_675,complement(X1))),X_675) )],[refute_1_1302,refute_1_1303]) ).
cnf(refute_1_1305,plain,
X_675 = join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))),
inference(resolve,[$cnf( $equal(join(meet(X_675,X1),meet(X_675,complement(X1))),join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))) )],[refute_1_1300,refute_1_1304]) ).
cnf(refute_1_1306,plain,
join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)) = join(join(meet(X_675,X1),meet(X_675,complement(X1))),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(meet(X_675,X1))),bind(X1,$fot(meet(X_675,complement(X1)))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_1307,plain,
( join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)) != join(join(meet(X_675,X1),meet(X_675,complement(X1))),X_729)
| join(meet(X_675,X1),meet(X_675,complement(X1))) != X_675
| join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)) = join(X_675,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)),join(join(meet(X_675,X1),meet(X_675,complement(X1))),X_729)) ),[1,0],$fot(X_675)]]) ).
cnf(refute_1_1308,plain,
( join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)) != join(join(meet(X_675,X1),meet(X_675,complement(X1))),X_729)
| join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)) = join(X_675,X_729) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,X1),meet(X_675,complement(X1))),X_675) )],[refute_1_1302,refute_1_1307]) ).
cnf(refute_1_1309,plain,
join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)) = join(X_675,X_729),
inference(resolve,[$cnf( $equal(join(meet(X_675,X1),join(meet(X_675,complement(X1)),X_729)),join(join(meet(X_675,X1),meet(X_675,complement(X1))),X_729)) )],[refute_1_1306,refute_1_1308]) ).
cnf(refute_1_1310,plain,
join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1)))) = join(X_675,meet(X_675,complement(X1))),
inference(subst,[],[refute_1_1309:[bind(X_729,$fot(meet(X_675,complement(X1))))]]) ).
cnf(refute_1_1311,plain,
join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) = join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1)))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(meet(X_675,X1))),bind(X_728,$fot(meet(X_675,complement(X1)))),bind(X_729,$fot(meet(X_675,complement(X1))))]]) ).
cnf(refute_1_1312,plain,
( join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1)))) != join(X_675,meet(X_675,complement(X1)))
| join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) != join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1))))
| join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) = join(X_675,meet(X_675,complement(X1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))))),bind(Y,$fot(join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1)))))),bind(Z,$fot(join(X_675,meet(X_675,complement(X1)))))]]) ).
cnf(refute_1_1313,plain,
( join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1)))) != join(X_675,meet(X_675,complement(X1)))
| join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) = join(X_675,meet(X_675,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))),join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1))))) )],[refute_1_1311,refute_1_1312]) ).
cnf(refute_1_1314,plain,
join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) = join(X_675,meet(X_675,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(X_675,X1),join(meet(X_675,complement(X1)),meet(X_675,complement(X1)))),join(X_675,meet(X_675,complement(X1)))) )],[refute_1_1310,refute_1_1313]) ).
cnf(refute_1_1315,plain,
( X_675 != join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))
| join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))) != join(X_675,meet(X_675,complement(X1)))
| X_675 = join(X_675,meet(X_675,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(X_675,meet(X_675,complement(X1)))) ),[0],$fot(join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))))]]) ).
cnf(refute_1_1316,plain,
( X_675 != join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))
| X_675 = join(X_675,meet(X_675,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1)))),join(X_675,meet(X_675,complement(X1)))) )],[refute_1_1314,refute_1_1315]) ).
cnf(refute_1_1317,plain,
X_675 = join(X_675,meet(X_675,complement(X1))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,complement(X1)),join(meet(X_675,X1),meet(X_675,complement(X1))))) )],[refute_1_1305,refute_1_1316]) ).
cnf(refute_1_1318,plain,
X_754 = join(X_754,meet(X_754,complement(complement(X_675)))),
inference(subst,[],[refute_1_1317:[bind(X1,$fot(complement(X_675))),bind(X_675,$fot(X_754))]]) ).
cnf(refute_1_1319,plain,
( X_754 != join(X_754,meet(X_754,complement(complement(X_675))))
| complement(complement(X_675)) != X_675
| X_754 = join(X_754,meet(X_754,X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(X_754,join(X_754,meet(X_754,complement(complement(X_675))))) ),[1,1,1],$fot(X_675)]]) ).
cnf(refute_1_1320,plain,
( X_754 != join(X_754,meet(X_754,complement(complement(X_675))))
| X_754 = join(X_754,meet(X_754,X_675)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_1319]) ).
cnf(refute_1_1321,plain,
X_754 = join(X_754,meet(X_754,X_675)),
inference(resolve,[$cnf( $equal(X_754,join(X_754,meet(X_754,complement(complement(X_675))))) )],[refute_1_1318,refute_1_1320]) ).
cnf(refute_1_1322,plain,
( X_754 != join(X_754,meet(X_754,X_675))
| join(X_754,meet(X_754,X_675)) = X_754 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_754)),bind(Y,$fot(join(X_754,meet(X_754,X_675))))]]) ).
cnf(refute_1_1323,plain,
join(X_754,meet(X_754,X_675)) = X_754,
inference(resolve,[$cnf( $equal(X_754,join(X_754,meet(X_754,X_675))) )],[refute_1_1321,refute_1_1322]) ).
cnf(refute_1_1324,plain,
join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) = one,
inference(subst,[],[refute_1_1323:[bind(X_675,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_754,$fot(one))]]) ).
cnf(refute_1_1325,plain,
complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1326,plain,
join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1327,plain,
( complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1328,plain,
( complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1326,refute_1_1327]) ).
cnf(refute_1_1329,plain,
join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(one,meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1325,refute_1_1328]) ).
cnf(refute_1_1330,plain,
( join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(one,meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(join(one,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(one))]]) ).
cnf(refute_1_1331,plain,
( join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(one,meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1329,refute_1_1330]) ).
cnf(refute_1_1332,plain,
join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(skolemFOFtoCNF_X0_1))),one) )],[refute_1_1324,refute_1_1331]) ).
cnf(refute_1_1333,plain,
complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1334,plain,
( complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != one
| complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_1335,plain,
( join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != one
| complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1333,refute_1_1334]) ).
cnf(refute_1_1336,plain,
complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),one) )],[refute_1_1332,refute_1_1335]) ).
cnf(refute_1_1337,plain,
join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1338,plain,
( complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(one)
| join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_1339,plain,
( complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(one)
| join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1337,refute_1_1338]) ).
cnf(refute_1_1340,plain,
join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(one)) )],[refute_1_1336,refute_1_1339]) ).
cnf(refute_1_1341,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(skolemFOFtoCNF_X0_1,complement(one))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1342,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1340,refute_1_1341]) ).
cnf(refute_1_1343,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(join(one,complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1299,refute_1_1342]) ).
cnf(refute_1_1344,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(X_1011)) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(X_1011)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) ),[0,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_1345,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(X_1011)) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_1344]) ).
cnf(refute_1_1346,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(X_1011)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) )],[refute_1_1203,refute_1_1345]) ).
cnf(refute_1_1347,plain,
join(complement(one),complement(X_1011)) = complement(meet(one,X_1011)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(X_1011))]]) ).
cnf(refute_1_1348,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) = join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))))]]) ).
cnf(refute_1_1349,plain,
( join(complement(one),complement(X_1011)) != complement(meet(one,X_1011))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) != join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))),join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011)))) ),[1,1],$fot(complement(meet(one,X_1011)))]]) ).
cnf(refute_1_1350,plain,
( join(complement(one),complement(X_1011)) != complement(meet(one,X_1011))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))),join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011)))) )],[refute_1_1348,refute_1_1349]) ).
cnf(refute_1_1351,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(X_1011)),complement(meet(one,X_1011))) )],[refute_1_1347,refute_1_1350]) ).
cnf(refute_1_1352,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(one))),bind(X2,$fot(complement(X_1011)))]]) ).
cnf(refute_1_1353,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) != join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011)))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011)))))]]) ).
cnf(refute_1_1354,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011)))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)),join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011)))) )],[refute_1_1352,refute_1_1353]) ).
cnf(refute_1_1355,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1011))),join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011)))) )],[refute_1_1351,refute_1_1354]) ).
cnf(refute_1_1356,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))))]]) ).
cnf(refute_1_1357,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)),join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011)))) )],[refute_1_1355,refute_1_1356]) ).
cnf(refute_1_1358,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1011)),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) )],[refute_1_1346,refute_1_1357]) ).
cnf(refute_1_1359,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))))),bind(Y,$fot(complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))))]]) ).
cnf(refute_1_1360,plain,
complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) )],[refute_1_1358,refute_1_1359]) ).
cnf(refute_1_1361,plain,
complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),
inference(subst,[],[refute_1_1360:[bind(X_1011,$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1362,plain,
( complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))))]]) ).
cnf(refute_1_1363,plain,
( complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1168,refute_1_1362]) ).
cnf(refute_1_1364,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1361,refute_1_1363]) ).
cnf(refute_1_1365,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) != join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1366,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) != join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1364,refute_1_1365]) ).
cnf(refute_1_1367,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))),join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1202,refute_1_1366]) ).
cnf(refute_1_1368,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1369,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1367,refute_1_1368]) ).
cnf(refute_1_1370,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) ),[1],$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1371,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1178,refute_1_1370]) ).
cnf(refute_1_1372,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1369,refute_1_1371]) ).
cnf(refute_1_1373,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1171,refute_1_1372]) ).
cnf(refute_1_1374,plain,
( join(X0,join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) != join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))),join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) ),[0,1],$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1375,plain,
( join(X0,join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) != join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1373,refute_1_1374]) ).
cnf(refute_1_1376,plain,
join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))),join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1167,refute_1_1375]) ).
cnf(refute_1_1377,plain,
join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1378,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),X2)
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),X2)) ),[1,0],$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1379,plain,
( join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),X2)
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1373,refute_1_1378]) ).
cnf(refute_1_1380,plain,
join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),X2)) )],[refute_1_1377,refute_1_1379]) ).
cnf(refute_1_1381,plain,
join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1382,plain,
join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)))]]) ).
cnf(refute_1_1383,plain,
( join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2))
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2))) ),[1,1],$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)))]]) ).
cnf(refute_1_1384,plain,
( join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2))) )],[refute_1_1382,refute_1_1383]) ).
cnf(refute_1_1385,plain,
join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) = join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))),
inference(resolve,[$cnf( $equal(join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) )],[refute_1_1381,refute_1_1384]) ).
cnf(refute_1_1386,plain,
( join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)
| join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) = join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))))]]) ).
cnf(refute_1_1387,plain,
( join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) = join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)))) )],[refute_1_1385,refute_1_1386]) ).
cnf(refute_1_1388,plain,
( join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) != join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))),join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) ),[1],$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)))]]) ).
cnf(refute_1_1389,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) != join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) )],[refute_1_1381,refute_1_1388]) ).
cnf(refute_1_1390,plain,
( join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) != join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))),join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) )],[refute_1_1387,refute_1_1389]) ).
cnf(refute_1_1391,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)),join(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)),X2)) )],[refute_1_1380,refute_1_1390]) ).
cnf(refute_1_1392,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)),
inference(subst,[],[refute_1_1391:[bind(X2,$fot(X0))]]) ).
cnf(refute_1_1393,plain,
join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) = join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(complement(one))),bind(X_729,$fot(join(composition(skolemFOFtoCNF_X0_1,top),X0)))]]) ).
cnf(refute_1_1394,plain,
( join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) != join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))))),bind(Z,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))))]]) ).
cnf(refute_1_1395,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))),join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)))) )],[refute_1_1393,refute_1_1394]) ).
cnf(refute_1_1396,plain,
join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) )],[refute_1_1392,refute_1_1395]) ).
cnf(refute_1_1397,plain,
join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0)),
inference(subst,[],[refute_1_678:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X_727,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X_728,$fot(X0))]]) ).
cnf(refute_1_1398,plain,
join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1399,plain,
( join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))
| join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0)))]]) ).
cnf(refute_1_1400,plain,
( join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))) )],[refute_1_1398,refute_1_1399]) ).
cnf(refute_1_1401,plain,
join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) )],[refute_1_1397,refute_1_1400]) ).
cnf(refute_1_1402,plain,
( join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) != join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0)))
| join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))))),bind(Z,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))))]]) ).
cnf(refute_1_1403,plain,
( join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0)))) )],[refute_1_1401,refute_1_1402]) ).
cnf(refute_1_1404,plain,
join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0_1,join(composition(skolemFOFtoCNF_X0_1,top),X0))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) )],[refute_1_1396,refute_1_1403]) ).
cnf(refute_1_1405,plain,
join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(complement(one))),bind(X1,$fot(join(X0,skolemFOFtoCNF_X0_1))),bind(X_737,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1406,plain,
join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(complement(one))),bind(X_728,$fot(join(X0,skolemFOFtoCNF_X0_1))),bind(X_729,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1407,plain,
( join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top)))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))),bind(Y,$fot(join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top))))),bind(Z,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1408,plain,
( join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1406,refute_1_1407]) ).
cnf(refute_1_1409,plain,
join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(X0,skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))) )],[refute_1_1405,refute_1_1408]) ).
cnf(refute_1_1410,plain,
( join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))),bind(Y,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))))]]) ).
cnf(refute_1_1411,plain,
( join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1)))) )],[refute_1_1409,refute_1_1410]) ).
cnf(refute_1_1412,plain,
join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),join(X0,skolemFOFtoCNF_X0_1))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) )],[refute_1_1404,refute_1_1411]) ).
cnf(refute_1_1413,plain,
( join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))
| join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) ),[0],$fot(join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1414,plain,
( join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0))) )],[refute_1_1412,refute_1_1413]) ).
cnf(refute_1_1415,plain,
join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(join(X0,skolemFOFtoCNF_X0_1),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1376,refute_1_1414]) ).
cnf(refute_1_1416,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1415:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1417,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1418,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,1],$fot(join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1419,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0_1,top))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1417,refute_1_1418]) ).
cnf(refute_1_1420,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1178,refute_1_1419]) ).
cnf(refute_1_1421,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))))),bind(Z,$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1422,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1420,refute_1_1421]) ).
cnf(refute_1_1423,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),join(complement(one),composition(skolemFOFtoCNF_X0_1,top))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1416,refute_1_1422]) ).
cnf(refute_1_1424,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != top
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),top) ),[0],$fot(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1425,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))) != top
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1423,refute_1_1424]) ).
cnf(refute_1_1426,plain,
join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))),top) )],[refute_1_1166,refute_1_1425]) ).
cnf(refute_1_1427,plain,
( complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != top
| complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_1428,plain,
( complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_1426,refute_1_1427]) ).
cnf(refute_1_1429,plain,
complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(one),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1115,refute_1_1428]) ).
cnf(refute_1_1430,plain,
converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(X0,converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_194:[bind(X_594,$fot(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1431,plain,
converse(join(one,join(X_593,X_594))) = join(one,converse(join(X_593,X_594))),
inference(subst,[],[refute_1_204:[bind(X1,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_1432,plain,
( converse(join(X_593,X_594)) != converse(join(X_594,X_593))
| converse(join(one,join(X_593,X_594))) != join(one,converse(join(X_593,X_594)))
| converse(join(one,join(X_593,X_594))) = join(one,converse(join(X_594,X_593))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_593,X_594))),join(one,converse(join(X_593,X_594)))) ),[1,1],$fot(converse(join(X_594,X_593)))]]) ).
cnf(refute_1_1433,plain,
( converse(join(one,join(X_593,X_594))) != join(one,converse(join(X_593,X_594)))
| converse(join(one,join(X_593,X_594))) = join(one,converse(join(X_594,X_593))) ),
inference(resolve,[$cnf( $equal(converse(join(X_593,X_594)),converse(join(X_594,X_593))) )],[refute_1_1053,refute_1_1432]) ).
cnf(refute_1_1434,plain,
converse(join(one,join(X_593,X_594))) = join(one,converse(join(X_594,X_593))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_593,X_594))),join(one,converse(join(X_593,X_594)))) )],[refute_1_1431,refute_1_1433]) ).
cnf(refute_1_1435,plain,
( converse(join(one,X1)) != join(one,converse(X1))
| join(one,converse(X1)) = converse(join(one,X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(one,X1)))),bind(Y,$fot(join(one,converse(X1))))]]) ).
cnf(refute_1_1436,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(resolve,[$cnf( $equal(converse(join(one,X1)),join(one,converse(X1))) )],[refute_1_204,refute_1_1435]) ).
cnf(refute_1_1437,plain,
join(one,converse(join(X_594,X_593))) = converse(join(one,join(X_594,X_593))),
inference(subst,[],[refute_1_1436:[bind(X1,$fot(join(X_594,X_593)))]]) ).
cnf(refute_1_1438,plain,
( converse(join(one,join(X_593,X_594))) != join(one,converse(join(X_594,X_593)))
| join(one,converse(join(X_594,X_593))) != converse(join(one,join(X_594,X_593)))
| converse(join(one,join(X_593,X_594))) = converse(join(one,join(X_594,X_593))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(X_593,X_594))),converse(join(one,join(X_594,X_593)))) ),[0],$fot(join(one,converse(join(X_594,X_593))))]]) ).
cnf(refute_1_1439,plain,
( converse(join(one,join(X_593,X_594))) != join(one,converse(join(X_594,X_593)))
| converse(join(one,join(X_593,X_594))) = converse(join(one,join(X_594,X_593))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_594,X_593))),converse(join(one,join(X_594,X_593)))) )],[refute_1_1437,refute_1_1438]) ).
cnf(refute_1_1440,plain,
converse(join(one,join(X_593,X_594))) = converse(join(one,join(X_594,X_593))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_593,X_594))),join(one,converse(join(X_594,X_593)))) )],[refute_1_1434,refute_1_1439]) ).
cnf(refute_1_1441,plain,
converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1440:[bind(X_593,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(X_594,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1442,plain,
converse(complement(converse(complement(complement(X_723))))) = join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(complement(X_723),converse(complement(converse(complement(complement(X_723))))))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(X_723)),bind(X_703,$fot(converse(complement(converse(complement(complement(X_723)))))))]]) ).
cnf(refute_1_1443,plain,
complement(X_723) = meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))),
inference(subst,[],[refute_1_539:[bind(X_675,$fot(complement(X_723)))]]) ).
cnf(refute_1_1444,plain,
( complement(X_723) != meet(complement(X_723),converse(complement(converse(complement(complement(X_723))))))
| meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))) = complement(X_723) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_723))),bind(Y,$fot(meet(complement(X_723),converse(complement(converse(complement(complement(X_723))))))))]]) ).
cnf(refute_1_1445,plain,
meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))) = complement(X_723),
inference(resolve,[$cnf( $equal(complement(X_723),meet(complement(X_723),converse(complement(converse(complement(complement(X_723))))))) )],[refute_1_1443,refute_1_1444]) ).
cnf(refute_1_1446,plain,
( converse(complement(converse(complement(complement(X_723))))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))))
| meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))) != complement(X_723)
| converse(complement(converse(complement(complement(X_723))))) = join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))))) ),[1,1],$fot(complement(X_723))]]) ).
cnf(refute_1_1447,plain,
( converse(complement(converse(complement(complement(X_723))))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))))
| converse(complement(converse(complement(complement(X_723))))) = join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))),complement(X_723)) )],[refute_1_1445,refute_1_1446]) ).
cnf(refute_1_1448,plain,
converse(complement(converse(complement(complement(X_723))))) = join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(complement(X_723),converse(complement(converse(complement(complement(X_723)))))))) )],[refute_1_1442,refute_1_1447]) ).
cnf(refute_1_1449,plain,
complement(complement(X_723)) = X_723,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(X_723))]]) ).
cnf(refute_1_1450,plain,
converse(complement(complement(X_723))) = converse(complement(complement(X_723))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_723))))]]) ).
cnf(refute_1_1451,plain,
( complement(complement(X_723)) != X_723
| converse(complement(complement(X_723))) != converse(complement(complement(X_723)))
| converse(complement(complement(X_723))) = converse(X_723) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_723))),converse(complement(complement(X_723)))) ),[1,0],$fot(X_723)]]) ).
cnf(refute_1_1452,plain,
( complement(complement(X_723)) != X_723
| converse(complement(complement(X_723))) = converse(X_723) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_723))),converse(complement(complement(X_723)))) )],[refute_1_1450,refute_1_1451]) ).
cnf(refute_1_1453,plain,
converse(complement(complement(X_723))) = converse(X_723),
inference(resolve,[$cnf( $equal(complement(complement(X_723)),X_723) )],[refute_1_1449,refute_1_1452]) ).
cnf(refute_1_1454,plain,
complement(converse(complement(complement(X_723)))) = complement(converse(complement(complement(X_723)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_723)))))]]) ).
cnf(refute_1_1455,plain,
( complement(converse(complement(complement(X_723)))) != complement(converse(complement(complement(X_723))))
| converse(complement(complement(X_723))) != converse(X_723)
| complement(converse(complement(complement(X_723)))) = complement(converse(X_723)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_723)))),complement(converse(complement(complement(X_723))))) ),[1,0],$fot(converse(X_723))]]) ).
cnf(refute_1_1456,plain,
( converse(complement(complement(X_723))) != converse(X_723)
| complement(converse(complement(complement(X_723)))) = complement(converse(X_723)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_723)))),complement(converse(complement(complement(X_723))))) )],[refute_1_1454,refute_1_1455]) ).
cnf(refute_1_1457,plain,
complement(converse(complement(complement(X_723)))) = complement(converse(X_723)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_723))),converse(X_723)) )],[refute_1_1453,refute_1_1456]) ).
cnf(refute_1_1458,plain,
converse(complement(converse(complement(complement(X_723))))) = converse(complement(converse(complement(complement(X_723))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_723))))))]]) ).
cnf(refute_1_1459,plain,
( complement(converse(complement(complement(X_723)))) != complement(converse(X_723))
| converse(complement(converse(complement(complement(X_723))))) != converse(complement(converse(complement(complement(X_723)))))
| converse(complement(converse(complement(complement(X_723))))) = converse(complement(converse(X_723))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),converse(complement(converse(complement(complement(X_723)))))) ),[1,0],$fot(complement(converse(X_723)))]]) ).
cnf(refute_1_1460,plain,
( complement(converse(complement(complement(X_723)))) != complement(converse(X_723))
| converse(complement(converse(complement(complement(X_723))))) = converse(complement(converse(X_723))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),converse(complement(converse(complement(complement(X_723)))))) )],[refute_1_1458,refute_1_1459]) ).
cnf(refute_1_1461,plain,
converse(complement(converse(complement(complement(X_723))))) = converse(complement(converse(X_723))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_723)))),complement(converse(X_723))) )],[refute_1_1457,refute_1_1460]) ).
cnf(refute_1_1462,plain,
( converse(complement(converse(complement(complement(X_723))))) != converse(complement(converse(X_723)))
| converse(complement(converse(complement(complement(X_723))))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))
| converse(complement(converse(X_723))) = join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))) ),[0],$fot(converse(complement(converse(X_723))))]]) ).
cnf(refute_1_1463,plain,
( converse(complement(converse(complement(complement(X_723))))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))
| converse(complement(converse(X_723))) = join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),converse(complement(converse(X_723)))) )],[refute_1_1461,refute_1_1462]) ).
cnf(refute_1_1464,plain,
meet(X_723,converse(complement(converse(complement(complement(X_723)))))) = meet(X_723,converse(complement(converse(complement(complement(X_723)))))),
introduced(tautology,[refl,[$fot(meet(X_723,converse(complement(converse(complement(complement(X_723)))))))]]) ).
cnf(refute_1_1465,plain,
( converse(complement(converse(complement(complement(X_723))))) != converse(complement(converse(X_723)))
| meet(X_723,converse(complement(converse(complement(complement(X_723)))))) != meet(X_723,converse(complement(converse(complement(complement(X_723))))))
| meet(X_723,converse(complement(converse(complement(complement(X_723)))))) = meet(X_723,converse(complement(converse(X_723)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_723,converse(complement(converse(complement(complement(X_723)))))),meet(X_723,converse(complement(converse(complement(complement(X_723))))))) ),[1,1],$fot(converse(complement(converse(X_723))))]]) ).
cnf(refute_1_1466,plain,
( converse(complement(converse(complement(complement(X_723))))) != converse(complement(converse(X_723)))
| meet(X_723,converse(complement(converse(complement(complement(X_723)))))) = meet(X_723,converse(complement(converse(X_723)))) ),
inference(resolve,[$cnf( $equal(meet(X_723,converse(complement(converse(complement(complement(X_723)))))),meet(X_723,converse(complement(converse(complement(complement(X_723))))))) )],[refute_1_1464,refute_1_1465]) ).
cnf(refute_1_1467,plain,
meet(X_723,converse(complement(converse(complement(complement(X_723)))))) = meet(X_723,converse(complement(converse(X_723)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),converse(complement(converse(X_723)))) )],[refute_1_1461,refute_1_1466]) ).
cnf(refute_1_1468,plain,
meet(converse(complement(converse(complement(complement(X_723))))),X_723) = meet(X_723,converse(complement(converse(complement(complement(X_723)))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X_723)),bind(X_602,$fot(converse(complement(converse(complement(complement(X_723)))))))]]) ).
cnf(refute_1_1469,plain,
( meet(X_723,converse(complement(converse(complement(complement(X_723)))))) != meet(X_723,converse(complement(converse(X_723))))
| meet(converse(complement(converse(complement(complement(X_723))))),X_723) != meet(X_723,converse(complement(converse(complement(complement(X_723))))))
| meet(converse(complement(converse(complement(complement(X_723))))),X_723) = meet(X_723,converse(complement(converse(X_723)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_723))))),X_723))),bind(Y,$fot(meet(X_723,converse(complement(converse(complement(complement(X_723)))))))),bind(Z,$fot(meet(X_723,converse(complement(converse(X_723))))))]]) ).
cnf(refute_1_1470,plain,
( meet(X_723,converse(complement(converse(complement(complement(X_723)))))) != meet(X_723,converse(complement(converse(X_723))))
| meet(converse(complement(converse(complement(complement(X_723))))),X_723) = meet(X_723,converse(complement(converse(X_723)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(X_723,converse(complement(converse(complement(complement(X_723))))))) )],[refute_1_1468,refute_1_1469]) ).
cnf(refute_1_1471,plain,
meet(converse(complement(converse(complement(complement(X_723))))),X_723) = meet(X_723,converse(complement(converse(X_723)))),
inference(resolve,[$cnf( $equal(meet(X_723,converse(complement(converse(complement(complement(X_723)))))),meet(X_723,converse(complement(converse(X_723))))) )],[refute_1_1467,refute_1_1470]) ).
cnf(refute_1_1472,plain,
join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) = join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)),
introduced(tautology,[refl,[$fot(join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)))]]) ).
cnf(refute_1_1473,plain,
( join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) != join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723))
| meet(converse(complement(converse(complement(complement(X_723))))),X_723) != meet(X_723,converse(complement(converse(X_723))))
| join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)),join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723))) ),[1,1],$fot(meet(X_723,converse(complement(converse(X_723)))))]]) ).
cnf(refute_1_1474,plain,
( meet(converse(complement(converse(complement(complement(X_723))))),X_723) != meet(X_723,converse(complement(converse(X_723))))
| join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)),join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723))) )],[refute_1_1472,refute_1_1473]) ).
cnf(refute_1_1475,plain,
join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_723))))),X_723),meet(X_723,converse(complement(converse(X_723))))) )],[refute_1_1471,refute_1_1474]) ).
cnf(refute_1_1476,plain,
join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) = join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(X_723))),bind(X1,$fot(meet(converse(complement(converse(complement(complement(X_723))))),X_723)))]]) ).
cnf(refute_1_1477,plain,
( join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) != join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))
| join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) != join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723))
| join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)))),bind(Y,$fot(join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)))),bind(Z,$fot(join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))))]]) ).
cnf(refute_1_1478,plain,
( join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)) != join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))
| join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)),join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723))) )],[refute_1_1476,refute_1_1477]) ).
cnf(refute_1_1479,plain,
join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))),
inference(resolve,[$cnf( $equal(join(complement(X_723),meet(converse(complement(converse(complement(complement(X_723))))),X_723)),join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))) )],[refute_1_1475,refute_1_1478]) ).
cnf(refute_1_1480,plain,
( converse(complement(converse(X_723))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))
| join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)) != join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))
| converse(complement(converse(X_723))) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_723))),join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)))]]) ).
cnf(refute_1_1481,plain,
( converse(complement(converse(X_723))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))
| converse(complement(converse(X_723))) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723)),join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))) )],[refute_1_1479,refute_1_1480]) ).
cnf(refute_1_1482,plain,
( converse(complement(converse(complement(complement(X_723))))) != join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))
| converse(complement(converse(X_723))) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_723))),join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))) )],[refute_1_1463,refute_1_1481]) ).
cnf(refute_1_1483,plain,
converse(complement(converse(X_723))) = join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_723))))),join(meet(converse(complement(converse(complement(complement(X_723))))),X_723),complement(X_723))) )],[refute_1_1448,refute_1_1482]) ).
cnf(refute_1_1484,plain,
converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_1483:[bind(X_723,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1485,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1486,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),bind(X_711,$fot(one))]]) ).
cnf(refute_1_1487,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = complement(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1488,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(X_711,$fot(complement(one)))]]) ).
cnf(refute_1_1489,plain,
complement(one) = join(complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(one)),bind(X_713,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1490,plain,
top = join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_499:[bind(X_628,$fot(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1491,plain,
join(one,join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) = join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(converse(complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1492,plain,
top = join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_499:[bind(X_628,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1493,plain,
( top != join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1494,plain,
join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1492,refute_1_1493]) ).
cnf(refute_1_1495,plain,
( join(one,join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))) != top
| join(one,top) = join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_1496,plain,
( join(one,join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| join(one,top) = join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_1494,refute_1_1495]) ).
cnf(refute_1_1497,plain,
join(one,top) = join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1491,refute_1_1496]) ).
cnf(refute_1_1498,plain,
( join(one,top) != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| join(one,top) != top
| top = join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),[0],$fot(top)]]) ).
cnf(refute_1_1499,plain,
( join(one,top) != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| top = join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_1498]) ).
cnf(refute_1_1500,plain,
join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))) = converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1436:[bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1501,plain,
( join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))) != converse(join(one,complement(converse(skolemFOFtoCNF_X0_1))))
| top != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| top = converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),[1],$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1502,plain,
( top != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| top = converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),converse(join(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1500,refute_1_1501]) ).
cnf(refute_1_1503,plain,
( join(one,top) != join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| top = converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1499,refute_1_1502]) ).
cnf(refute_1_1504,plain,
top = converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1497,refute_1_1503]) ).
cnf(refute_1_1505,plain,
( top != converse(join(one,complement(converse(skolemFOFtoCNF_X0_1))))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1506,plain,
converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1504,refute_1_1505]) ).
cnf(refute_1_1507,plain,
( converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))) != top
| top != join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))))
| top = join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_1_1508,plain,
( top != join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))))
| top = join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_1506,refute_1_1507]) ).
cnf(refute_1_1509,plain,
top = join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1490,refute_1_1508]) ).
cnf(refute_1_1510,plain,
X1 = join(meet(X1,X1),complement(join(complement(X1),X1))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_1511,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_1_1512,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| X1 = join(X1,complement(join(complement(X1),X1))) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_1_369,refute_1_1511]) ).
cnf(refute_1_1513,plain,
X1 = join(X1,complement(join(complement(X1),X1))),
inference(resolve,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) )],[refute_1_1510,refute_1_1512]) ).
cnf(refute_1_1514,plain,
join(X1,complement(X1)) = top,
inference(subst,[],[refute_1_140:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_1515,plain,
join(complement(X1),X1) = join(X1,complement(X1)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X1)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_1_1516,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) != join(X1,complement(X1))
| join(complement(X1),X1) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X1),X1))),bind(Y,$fot(join(X1,complement(X1)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_1517,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) = top ),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),join(X1,complement(X1))) )],[refute_1_1515,refute_1_1516]) ).
cnf(refute_1_1518,plain,
join(complement(X1),X1) = top,
inference(resolve,[$cnf( $equal(join(X1,complement(X1)),top) )],[refute_1_1514,refute_1_1517]) ).
cnf(refute_1_1519,plain,
complement(join(complement(X1),X1)) = complement(join(complement(X1),X1)),
introduced(tautology,[refl,[$fot(complement(join(complement(X1),X1)))]]) ).
cnf(refute_1_1520,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_1_1521,plain,
( join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) )],[refute_1_1519,refute_1_1520]) ).
cnf(refute_1_1522,plain,
complement(join(complement(X1),X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),top) )],[refute_1_1518,refute_1_1521]) ).
cnf(refute_1_1523,plain,
( complement(join(complement(X1),X1)) != complement(top)
| complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(X1),X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1524,plain,
( complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(top)) )],[refute_1_1522,refute_1_1523]) ).
cnf(refute_1_1525,plain,
complement(join(complement(X1),X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1524]) ).
cnf(refute_1_1526,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,complement(join(complement(X1),X1))),
introduced(tautology,[refl,[$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_1_1527,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_1_1528,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) )],[refute_1_1526,refute_1_1527]) ).
cnf(refute_1_1529,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),zero) )],[refute_1_1525,refute_1_1528]) ).
cnf(refute_1_1530,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) != join(X1,zero)
| X1 = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,join(X1,zero)) ),[0],$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_1_1531,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| X1 = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,zero)) )],[refute_1_1529,refute_1_1530]) ).
cnf(refute_1_1532,plain,
X1 = join(X1,zero),
inference(resolve,[$cnf( $equal(X1,join(X1,complement(join(complement(X1),X1)))) )],[refute_1_1513,refute_1_1531]) ).
cnf(refute_1_1533,plain,
( X1 != join(X1,zero)
| join(X1,zero) = X1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X1)),bind(Y,$fot(join(X1,zero)))]]) ).
cnf(refute_1_1534,plain,
join(X1,zero) = X1,
inference(resolve,[$cnf( $equal(X1,join(X1,zero)) )],[refute_1_1532,refute_1_1533]) ).
cnf(refute_1_1535,plain,
join(complement(converse(skolemFOFtoCNF_X0_1)),zero) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1534:[bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1536,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_1_258:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_1_1537,plain,
top = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_1_48:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_1_1538,plain,
converse(join(X_593,converse(X0))) = join(converse(X_593),converse(converse(X0))),
inference(subst,[],[refute_1_190:[bind(X0,$fot(X_593)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_1539,plain,
( converse(converse(X0)) != X0
| converse(join(X_593,converse(X0))) != join(converse(X_593),converse(converse(X0)))
| converse(join(X_593,converse(X0))) = join(converse(X_593),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_593,converse(X0))),join(converse(X_593),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_1540,plain,
( converse(join(X_593,converse(X0))) != join(converse(X_593),converse(converse(X0)))
| converse(join(X_593,converse(X0))) = join(converse(X_593),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_1539]) ).
cnf(refute_1_1541,plain,
converse(join(X_593,converse(X0))) = join(converse(X_593),X0),
inference(resolve,[$cnf( $equal(converse(join(X_593,converse(X0))),join(converse(X_593),converse(converse(X0)))) )],[refute_1_1538,refute_1_1540]) ).
cnf(refute_1_1542,plain,
converse(join(zero,converse(X0))) = join(converse(zero),X0),
inference(subst,[],[refute_1_1541:[bind(X_593,$fot(zero))]]) ).
cnf(refute_1_1543,plain,
converse(X0) = join(zero,converse(X0)),
inference(subst,[],[refute_1_415:[bind(X_675,$fot(converse(X0)))]]) ).
cnf(refute_1_1544,plain,
( converse(X0) != join(zero,converse(X0))
| join(zero,converse(X0)) = converse(X0) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(X0))),bind(Y,$fot(join(zero,converse(X0))))]]) ).
cnf(refute_1_1545,plain,
join(zero,converse(X0)) = converse(X0),
inference(resolve,[$cnf( $equal(converse(X0),join(zero,converse(X0))) )],[refute_1_1543,refute_1_1544]) ).
cnf(refute_1_1546,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| join(zero,converse(X0)) != converse(X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_1_1547,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_1_1545,refute_1_1546]) ).
cnf(refute_1_1548,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_1_1542,refute_1_1547]) ).
cnf(refute_1_1549,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_1_1550,plain,
( converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_1549]) ).
cnf(refute_1_1551,plain,
X0 = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_1_1548,refute_1_1550]) ).
cnf(refute_1_1552,plain,
complement(converse(zero)) = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_1_1551:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_1_1553,plain,
( complement(converse(zero)) != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) = complement(converse(zero)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero)))))]]) ).
cnf(refute_1_1554,plain,
join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(complement(converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_1_1552,refute_1_1553]) ).
cnf(refute_1_1555,plain,
( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| top != join(converse(zero),complement(converse(zero)))
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(zero),complement(converse(zero)))) ),[1],$fot(complement(converse(zero)))]]) ).
cnf(refute_1_1556,plain,
( top != join(converse(zero),complement(converse(zero)))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_1_1554,refute_1_1555]) ).
cnf(refute_1_1557,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(top,join(converse(zero),complement(converse(zero)))) )],[refute_1_1537,refute_1_1556]) ).
cnf(refute_1_1558,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_1_1559,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_1_1557,refute_1_1558]) ).
cnf(refute_1_1560,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1561,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_1_1559,refute_1_1560]) ).
cnf(refute_1_1562,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_1_1536,refute_1_1561]) ).
cnf(refute_1_1563,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_1_1564,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_1_1565,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( $equal(complement(converse(zero)),top) )],[refute_1_1559,refute_1_1564]) ).
cnf(refute_1_1566,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) )],[refute_1_1563,refute_1_1565]) ).
cnf(refute_1_1567,plain,
join(zero,meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_1_1568,plain,
complement(join(top,X1)) = complement(join(top,X1)),
introduced(tautology,[refl,[$fot(complement(join(top,X1)))]]) ).
cnf(refute_1_1569,plain,
( complement(join(top,X1)) != complement(join(top,X1))
| join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1570,plain,
( join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) )],[refute_1_1568,refute_1_1569]) ).
cnf(refute_1_1571,plain,
complement(join(top,X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_1_374,refute_1_1570]) ).
cnf(refute_1_1572,plain,
( complement(join(top,X1)) != complement(top)
| complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(top,X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1573,plain,
( complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(top)) )],[refute_1_1571,refute_1_1572]) ).
cnf(refute_1_1574,plain,
complement(join(top,X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1573]) ).
cnf(refute_1_1575,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(complement(join(top,X1)),meet(converse(zero),X1)),
introduced(tautology,[refl,[$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))]]) ).
cnf(refute_1_1576,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_1_1577,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_1_1575,refute_1_1576]) ).
cnf(refute_1_1578,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_1_1574,refute_1_1577]) ).
cnf(refute_1_1579,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != join(zero,meet(converse(zero),X1))
| join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_1580,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( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(zero,meet(converse(zero),X1))) )],[refute_1_1578,refute_1_1579]) ).
cnf(refute_1_1581,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_1_1567,refute_1_1580]) ).
cnf(refute_1_1582,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = join(complement(join(top,X1)),meet(converse(zero),X1)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(top,X1)))),bind(X1,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_1_1583,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_1584,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( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_1_1582,refute_1_1583]) ).
cnf(refute_1_1585,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_1_1581,refute_1_1584]) ).
cnf(refute_1_1586,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| join(meet(converse(zero),X1),complement(join(top,X1))) != meet(converse(zero),X1)
| converse(zero) = meet(converse(zero),X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),meet(converse(zero),X1)) ),[0],$fot(join(meet(converse(zero),X1),complement(join(top,X1))))]]) ).
cnf(refute_1_1587,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| converse(zero) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),meet(converse(zero),X1)) )],[refute_1_1585,refute_1_1586]) ).
cnf(refute_1_1588,plain,
converse(zero) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(top,X1)))) )],[refute_1_1566,refute_1_1587]) ).
cnf(refute_1_1589,plain,
( converse(zero) != meet(converse(zero),X1)
| meet(converse(zero),X1) = converse(zero) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(zero))),bind(Y,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_1_1590,plain,
meet(converse(zero),X1) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),meet(converse(zero),X1)) )],[refute_1_1588,refute_1_1589]) ).
cnf(refute_1_1591,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_1_1590:[bind(X1,$fot(top))]]) ).
cnf(refute_1_1592,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_1_1593,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_1_1591,refute_1_1592]) ).
cnf(refute_1_1594,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_1_1562,refute_1_1593]) ).
cnf(refute_1_1595,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_1_1596,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_1_1594,refute_1_1595]) ).
cnf(refute_1_1597,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_1_1598,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_1_1599,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_1_1597,refute_1_1598]) ).
cnf(refute_1_1600,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1599]) ).
cnf(refute_1_1601,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1602,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_1_1600,refute_1_1601]) ).
cnf(refute_1_1603,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_1_1596,refute_1_1602]) ).
cnf(refute_1_1604,plain,
join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))),
introduced(tautology,[refl,[$fot(join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))]]) ).
cnf(refute_1_1605,plain,
( converse(complement(top)) != zero
| join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) != join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))
| join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = join(complement(converse(skolemFOFtoCNF_X0_1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))),join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1606,plain,
( converse(complement(top)) != zero
| join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = join(complement(converse(skolemFOFtoCNF_X0_1)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))),join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) )],[refute_1_1604,refute_1_1605]) ).
cnf(refute_1_1607,plain,
join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = join(complement(converse(skolemFOFtoCNF_X0_1)),zero),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_1_1603,refute_1_1606]) ).
cnf(refute_1_1608,plain,
( join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) != join(complement(converse(skolemFOFtoCNF_X0_1)),zero)
| join(complement(converse(skolemFOFtoCNF_X0_1)),zero) != complement(converse(skolemFOFtoCNF_X0_1))
| join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(skolemFOFtoCNF_X0_1)),zero))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1609,plain,
( join(complement(converse(skolemFOFtoCNF_X0_1)),zero) != complement(converse(skolemFOFtoCNF_X0_1))
| join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))),join(complement(converse(skolemFOFtoCNF_X0_1)),zero)) )],[refute_1_1607,refute_1_1608]) ).
cnf(refute_1_1610,plain,
join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),zero),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1535,refute_1_1609]) ).
cnf(refute_1_1611,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) = join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))))]]) ).
cnf(refute_1_1612,plain,
( join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) != complement(converse(skolemFOFtoCNF_X0_1))
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) != join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) = join(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))),join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1613,plain,
( join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))) != complement(converse(skolemFOFtoCNF_X0_1))
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) = join(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))),join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))) )],[refute_1_1611,refute_1_1612]) ).
cnf(refute_1_1614,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) = join(one,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1610,refute_1_1613]) ).
cnf(refute_1_1615,plain,
join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) = join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(X2,$fot(converse(complement(top))))]]) ).
cnf(refute_1_1616,plain,
( join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) != join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) != join(one,complement(converse(skolemFOFtoCNF_X0_1)))
| join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) = join(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))))),bind(Y,$fot(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))))),bind(Z,$fot(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1617,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))) != join(one,complement(converse(skolemFOFtoCNF_X0_1)))
| join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) = join(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))),join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top))))) )],[refute_1_1615,refute_1_1616]) ).
cnf(refute_1_1618,plain,
join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) = join(one,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),converse(complement(top)))),join(one,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1614,refute_1_1617]) ).
cnf(refute_1_1619,plain,
( join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))) != join(one,complement(converse(skolemFOFtoCNF_X0_1)))
| top != join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top)))
| top = join(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top)))) ),[1],$fot(join(one,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1620,plain,
( top != join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top)))
| top = join(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top))),join(one,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1618,refute_1_1619]) ).
cnf(refute_1_1621,plain,
top = join(one,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(top,join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(complement(top)))) )],[refute_1_1509,refute_1_1620]) ).
cnf(refute_1_1622,plain,
( top != join(one,complement(converse(skolemFOFtoCNF_X0_1)))
| join(one,complement(converse(skolemFOFtoCNF_X0_1))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1623,plain,
join(one,complement(converse(skolemFOFtoCNF_X0_1))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1621,refute_1_1622]) ).
cnf(refute_1_1624,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| join(one,complement(converse(skolemFOFtoCNF_X0_1))) != top
| complement(one) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_1625,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| complement(one) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0_1))),top) )],[refute_1_1623,refute_1_1624]) ).
cnf(refute_1_1626,plain,
complement(one) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1489,refute_1_1625]) ).
cnf(refute_1_1627,plain,
join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1628,plain,
meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1629,plain,
join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))))]]) ).
cnf(refute_1_1630,plain,
( join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) ),[1,1],$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1631,plain,
( meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1629,refute_1_1630]) ).
cnf(refute_1_1632,plain,
join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1628,refute_1_1631]) ).
cnf(refute_1_1633,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))))]]) ).
cnf(refute_1_1634,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1635,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1633,refute_1_1634]) ).
cnf(refute_1_1636,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1635]) ).
cnf(refute_1_1637,plain,
( join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))))),bind(Y,$fot(join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))))),bind(Z,$fot(join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1638,plain,
( join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1636,refute_1_1637]) ).
cnf(refute_1_1639,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1632,refute_1_1638]) ).
cnf(refute_1_1640,plain,
( join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))
| join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))))),bind(Y,$fot(join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1641,plain,
( join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1639,refute_1_1640]) ).
cnf(refute_1_1642,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1627,refute_1_1641]) ).
cnf(refute_1_1643,plain,
( complement(one) != join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))))]]) ).
cnf(refute_1_1644,plain,
( complement(one) != join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1642,refute_1_1643]) ).
cnf(refute_1_1645,plain,
complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1626,refute_1_1644]) ).
cnf(refute_1_1646,plain,
( complement(one) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1647,plain,
meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1645,refute_1_1646]) ).
cnf(refute_1_1648,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) != complement(one)
| complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_1649,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(one)) )],[refute_1_1647,refute_1_1648]) ).
cnf(refute_1_1650,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1488,refute_1_1649]) ).
cnf(refute_1_1651,plain,
join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1652,plain,
meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) = meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1653,plain,
( join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) != meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))
| meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))),meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1654,plain,
( join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))),meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1652,refute_1_1653]) ).
cnf(refute_1_1655,plain,
meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1651,refute_1_1654]) ).
cnf(refute_1_1656,plain,
complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1657,plain,
( complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1658,plain,
( meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1656,refute_1_1657]) ).
cnf(refute_1_1659,plain,
complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1655,refute_1_1658]) ).
cnf(refute_1_1660,plain,
join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1661,plain,
( complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1662,plain,
( complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1660,refute_1_1661]) ).
cnf(refute_1_1663,plain,
join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1659,refute_1_1662]) ).
cnf(refute_1_1664,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))
| complement(converse(skolemFOFtoCNF_X0_1)) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) ),[0],$fot(join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1665,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| complement(converse(skolemFOFtoCNF_X0_1)) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1)))))),complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1663,refute_1_1664]) ).
cnf(refute_1_1666,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(complement(one),complement(join(complement(one),complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1650,refute_1_1665]) ).
cnf(refute_1_1667,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))
| complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1668,plain,
complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1666,refute_1_1667]) ).
cnf(refute_1_1669,plain,
( complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(converse(skolemFOFtoCNF_X0_1))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != complement(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = complement(complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1670,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != complement(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = complement(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1668,refute_1_1669]) ).
cnf(refute_1_1671,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = complement(complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(complement(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1487,refute_1_1670]) ).
cnf(refute_1_1672,plain,
complement(complement(converse(skolemFOFtoCNF_X0_1))) = converse(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1673,plain,
( complement(complement(converse(skolemFOFtoCNF_X0_1))) != converse(skolemFOFtoCNF_X0_1)
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = converse(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(complement(converse(skolemFOFtoCNF_X0_1)))) ),[1],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1674,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = converse(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_1672,refute_1_1673]) ).
cnf(refute_1_1675,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = converse(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1671,refute_1_1674]) ).
cnf(refute_1_1676,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != converse(skolemFOFtoCNF_X0_1)
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1677,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_1675,refute_1_1676]) ).
cnf(refute_1_1678,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_1486,refute_1_1677]) ).
cnf(refute_1_1679,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(one)) = join(complement(one),converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1680,plain,
join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = one,
inference(subst,[],[refute_1_1323:[bind(X_675,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(X_754,$fot(one))]]) ).
cnf(refute_1_1681,plain,
complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) = meet(one,complement(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1682,plain,
join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1683,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != meet(one,complement(converse(skolemFOFtoCNF_X0_1)))
| join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))
| join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1684,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) != meet(one,complement(converse(skolemFOFtoCNF_X0_1)))
| join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1682,refute_1_1683]) ).
cnf(refute_1_1685,plain,
join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1681,refute_1_1684]) ).
cnf(refute_1_1686,plain,
( join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != one
| join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_1_1687,plain,
( join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != one
| join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_1685,refute_1_1686]) ).
cnf(refute_1_1688,plain,
join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),one) )],[refute_1_1680,refute_1_1687]) ).
cnf(refute_1_1689,plain,
complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) = complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))),
introduced(tautology,[refl,[$fot(complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1690,plain,
( complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) != complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))
| join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != one
| complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_1691,plain,
( join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != one
| complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1689,refute_1_1690]) ).
cnf(refute_1_1692,plain,
complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),one) )],[refute_1_1688,refute_1_1691]) ).
cnf(refute_1_1693,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_1694,plain,
( complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) != complement(one)
| join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_1695,plain,
( complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))) != complement(one)
| join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_1693,refute_1_1694]) ).
cnf(refute_1_1696,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(one)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))),complement(one)) )],[refute_1_1692,refute_1_1695]) ).
cnf(refute_1_1697,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) != join(converse(skolemFOFtoCNF_X0_1),complement(one))
| join(converse(skolemFOFtoCNF_X0_1),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),bind(Z,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1698,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),join(converse(skolemFOFtoCNF_X0_1),complement(one))) )],[refute_1_1696,refute_1_1697]) ).
cnf(refute_1_1699,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(one)),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1679,refute_1_1698]) ).
cnf(refute_1_1700,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_1701,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1699,refute_1_1700]) ).
cnf(refute_1_1702,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(converse(skolemFOFtoCNF_X0_1),complement(join(one,complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_1678,refute_1_1701]) ).
cnf(refute_1_1703,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1704,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1702,refute_1_1703]) ).
cnf(refute_1_1705,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1485,refute_1_1704]) ).
cnf(refute_1_1706,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1707,plain,
complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1705,refute_1_1706]) ).
cnf(refute_1_1708,plain,
( complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(one,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1709,plain,
( converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_1707,refute_1_1708]) ).
cnf(refute_1_1710,plain,
converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1484,refute_1_1709]) ).
cnf(refute_1_1711,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1712,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_1713,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_1712]) ).
cnf(refute_1_1714,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = complement(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1711,refute_1_1713]) ).
cnf(refute_1_1715,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| complement(join(skolemFOFtoCNF_X0_1,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_1716,plain,
complement(join(skolemFOFtoCNF_X0_1,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_1714,refute_1_1715]) ).
cnf(refute_1_1717,plain,
converse(complement(one)) = join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one)))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(one)),bind(X_703,$fot(converse(complement(one))))]]) ).
cnf(refute_1_1718,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),
inference(subst,[],[refute_1_539:[bind(X_675,$fot(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1719,plain,
one = join(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(one)),bind(X_676,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1720,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),bind(X_732,$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1721,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(complement(one))),bind(X_713,$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1722,plain,
composition(top,complement(skolemFOFtoCNF_X0_1)) = join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(one)),bind(X_703,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1723,plain,
complement(one) = join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(one)),bind(X_713,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1724,plain,
join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = join(join(one,complement(skolemFOFtoCNF_X0_1)),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(one)),bind(X1,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1725,plain,
( join(one,complement(skolemFOFtoCNF_X0_1)) != top
| join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) != join(join(one,complement(skolemFOFtoCNF_X0_1)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),X2)),join(join(one,complement(skolemFOFtoCNF_X0_1)),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1726,plain,
( join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) != join(join(one,complement(skolemFOFtoCNF_X0_1)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0_1)),top) )],[refute_1_1244,refute_1_1725]) ).
cnf(refute_1_1727,plain,
join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),X2)),join(join(one,complement(skolemFOFtoCNF_X0_1)),X2)) )],[refute_1_1724,refute_1_1726]) ).
cnf(refute_1_1728,plain,
join(top,X2) = top,
inference(subst,[],[refute_1_374:[bind(X1,$fot(X2))]]) ).
cnf(refute_1_1729,plain,
( join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) != join(top,X2)
| join(top,X2) != top
| join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),X2)),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_1_1730,plain,
( join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) != join(top,X2)
| join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_1_1728,refute_1_1729]) ).
cnf(refute_1_1731,plain,
join(one,join(complement(skolemFOFtoCNF_X0_1),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),X2)),join(top,X2)) )],[refute_1_1727,refute_1_1730]) ).
cnf(refute_1_1732,plain,
join(one,join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))) = top,
inference(subst,[],[refute_1_1731:[bind(X2,$fot(composition(X_631,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1733,plain,
composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_174:[bind(X_633,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1734,plain,
( composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)) != join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))
| join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1))) = composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1735,plain,
join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1))) = composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1733,refute_1_1734]) ).
cnf(refute_1_1736,plain,
( join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1))) != composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1))
| join(one,join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))) != top
| join(one,composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))),top) ),[0,1],$fot(composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1737,plain,
( join(one,join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))) != top
| join(one,composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1))) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1))),composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1735,refute_1_1736]) ).
cnf(refute_1_1738,plain,
join(one,composition(join(X_631,one),complement(skolemFOFtoCNF_X0_1))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),composition(X_631,complement(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_1732,refute_1_1737]) ).
cnf(refute_1_1739,plain,
join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0_1))) = top,
inference(subst,[],[refute_1_1738:[bind(X_631,$fot(top))]]) ).
cnf(refute_1_1740,plain,
top = join(top,one),
inference(subst,[],[refute_1_372:[bind(X1,$fot(one))]]) ).
cnf(refute_1_1741,plain,
( top != join(top,one)
| join(top,one) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,one)))]]) ).
cnf(refute_1_1742,plain,
join(top,one) = top,
inference(resolve,[$cnf( $equal(top,join(top,one)) )],[refute_1_1740,refute_1_1741]) ).
cnf(refute_1_1743,plain,
( join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0_1))) != top
| join(top,one) != top
| join(one,composition(top,complement(skolemFOFtoCNF_X0_1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0_1))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_1_1744,plain,
( join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0_1))) != top
| join(one,composition(top,complement(skolemFOFtoCNF_X0_1))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_1_1742,refute_1_1743]) ).
cnf(refute_1_1745,plain,
join(one,composition(top,complement(skolemFOFtoCNF_X0_1))) = top,
inference(resolve,[$cnf( $equal(join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0_1))),top) )],[refute_1_1739,refute_1_1744]) ).
cnf(refute_1_1746,plain,
( complement(one) != join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| join(one,composition(top,complement(skolemFOFtoCNF_X0_1))) != top
| complement(one) = join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_1747,plain,
( complement(one) != join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| complement(one) = join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),top) )],[refute_1_1745,refute_1_1746]) ).
cnf(refute_1_1748,plain,
complement(one) = join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1723,refute_1_1747]) ).
cnf(refute_1_1749,plain,
join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1750,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1751,plain,
join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),
introduced(tautology,[refl,[$fot(join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))))]]) ).
cnf(refute_1_1752,plain,
( join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) ),[1,1],$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1753,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1751,refute_1_1752]) ).
cnf(refute_1_1754,plain,
join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1750,refute_1_1753]) ).
cnf(refute_1_1755,plain,
join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))))]]) ).
cnf(refute_1_1756,plain,
( complement(top) != zero
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1757,plain,
( complement(top) != zero
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1755,refute_1_1756]) ).
cnf(refute_1_1758,plain,
join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1757]) ).
cnf(refute_1_1759,plain,
( join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))))),bind(Y,$fot(join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))))),bind(Z,$fot(join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1760,plain,
( join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1758,refute_1_1759]) ).
cnf(refute_1_1761,plain,
join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1754,refute_1_1760]) ).
cnf(refute_1_1762,plain,
( join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))))),bind(Y,$fot(join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1763,plain,
( join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1761,refute_1_1762]) ).
cnf(refute_1_1764,plain,
join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1749,refute_1_1763]) ).
cnf(refute_1_1765,plain,
( complement(one) != join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(one) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))))]]) ).
cnf(refute_1_1766,plain,
( complement(one) != join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))
| complement(one) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1764,refute_1_1765]) ).
cnf(refute_1_1767,plain,
complement(one) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(one)))) )],[refute_1_1748,refute_1_1766]) ).
cnf(refute_1_1768,plain,
( complement(one) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1769,plain,
meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1767,refute_1_1768]) ).
cnf(refute_1_1770,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))) != complement(one)
| composition(top,complement(skolemFOFtoCNF_X0_1)) = join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_1771,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) )],[refute_1_1769,refute_1_1770]) ).
cnf(refute_1_1772,plain,
composition(top,complement(skolemFOFtoCNF_X0_1)) = join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1722,refute_1_1771]) ).
cnf(refute_1_1773,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1774,plain,
join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)))]]) ).
cnf(refute_1_1775,plain,
( join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) != join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))) ),[1,1],$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1776,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_1774,refute_1_1775]) ).
cnf(refute_1_1777,plain,
join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1773,refute_1_1776]) ).
cnf(refute_1_1778,plain,
join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) = join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)))]]) ).
cnf(refute_1_1779,plain,
( join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) != join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) != join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))
| join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)))),bind(Z,$fot(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1780,plain,
( join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) != join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)),join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_1778,refute_1_1779]) ).
cnf(refute_1_1781,plain,
join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1777,refute_1_1780]) ).
cnf(refute_1_1782,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one))
| join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)) != join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)))]]) ).
cnf(refute_1_1783,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one)),join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1781,refute_1_1782]) ).
cnf(refute_1_1784,plain,
composition(top,complement(skolemFOFtoCNF_X0_1)) = join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),join(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),complement(one))) )],[refute_1_1772,refute_1_1783]) ).
cnf(refute_1_1785,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1786,plain,
join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1784,refute_1_1785]) ).
cnf(refute_1_1787,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| complement(complement(one)) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) ),[1,0,0],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1788,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| complement(complement(one)) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1786,refute_1_1787]) ).
cnf(refute_1_1789,plain,
complement(complement(one)) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) )],[refute_1_1721,refute_1_1788]) ).
cnf(refute_1_1790,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(one))]]) ).
cnf(refute_1_1791,plain,
( complement(complement(one)) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| complement(complement(one)) != one
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) ),[0],$fot(one)]]) ).
cnf(refute_1_1792,plain,
( complement(complement(one)) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_1_1790,refute_1_1791]) ).
cnf(refute_1_1793,plain,
meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1190:[bind(X0,$fot(one)),bind(X1,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1794,plain,
meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1795,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_1796,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1794,refute_1_1795]) ).
cnf(refute_1_1797,plain,
meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_1_1790,refute_1_1796]) ).
cnf(refute_1_1798,plain,
( meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1799,plain,
( meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1797,refute_1_1798]) ).
cnf(refute_1_1800,plain,
meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1793,refute_1_1799]) ).
cnf(refute_1_1801,plain,
meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) = meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(complement(one)))),bind(X_602,$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1802,plain,
( meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) != meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1803,plain,
( meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))),meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1801,refute_1_1802]) ).
cnf(refute_1_1804,plain,
meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) = meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1800,refute_1_1803]) ).
cnf(refute_1_1805,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))))]]) ).
cnf(refute_1_1806,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) ),[1,1],$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1807,plain,
( meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) )],[refute_1_1805,refute_1_1806]) ).
cnf(refute_1_1808,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1804,refute_1_1807]) ).
cnf(refute_1_1809,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| one != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) ),[1],$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1810,plain,
( one != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one)))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1808,refute_1_1809]) ).
cnf(refute_1_1811,plain,
( complement(complement(one)) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(one,join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) )],[refute_1_1792,refute_1_1810]) ).
cnf(refute_1_1812,plain,
one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))),complement(complement(one))))) )],[refute_1_1789,refute_1_1811]) ).
cnf(refute_1_1813,plain,
( one != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1814,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1812,refute_1_1813]) ).
cnf(refute_1_1815,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) != one
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_1816,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),one) )],[refute_1_1814,refute_1_1815]) ).
cnf(refute_1_1817,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1720,refute_1_1816]) ).
cnf(refute_1_1818,plain,
meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one) = meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1819,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one)
| meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one) != meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one))]]) ).
cnf(refute_1_1820,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one)
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one),meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1818,refute_1_1819]) ).
cnf(refute_1_1821,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),one)) )],[refute_1_1817,refute_1_1820]) ).
cnf(refute_1_1822,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1823,plain,
meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1821,refute_1_1822]) ).
cnf(refute_1_1824,plain,
( meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| one != join(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1825,plain,
( one != join(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))
| one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1823,refute_1_1824]) ).
cnf(refute_1_1826,plain,
one = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) )],[refute_1_1719,refute_1_1825]) ).
cnf(refute_1_1827,plain,
complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),
introduced(tautology,[refl,[$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)))]]) ).
cnf(refute_1_1828,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))) ),[1,0],$fot(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1829,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one) != meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_1827,refute_1_1828]) ).
cnf(refute_1_1830,plain,
complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) = complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one),meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1773,refute_1_1829]) ).
cnf(refute_1_1831,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))),bind(X1,$fot(one))]]) ).
cnf(refute_1_1832,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) != complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) = complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),bind(Y,$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)))),bind(Z,$fot(complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1833,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)) != complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) = complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_1831,refute_1_1832]) ).
cnf(refute_1_1834,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) = complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),one)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1830,refute_1_1833]) ).
cnf(refute_1_1835,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) = meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))),
introduced(tautology,[refl,[$fot(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))]]) ).
cnf(refute_1_1836,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) != complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) != meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) = meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) ),[1,1],$fot(complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1837,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)) != complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) = meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) )],[refute_1_1835,refute_1_1836]) ).
cnf(refute_1_1838,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) = meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1834,refute_1_1837]) ).
cnf(refute_1_1839,plain,
complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))))]]) ).
cnf(refute_1_1840,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) != meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) ),[1,0],$fot(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_1841,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))) != meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) )],[refute_1_1839,refute_1_1840]) ).
cnf(refute_1_1842,plain,
complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1838,refute_1_1841]) ).
cnf(refute_1_1843,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))),bind(X1,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))]]) ).
cnf(refute_1_1844,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))))),bind(Y,$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))))),bind(Z,$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1845,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) )],[refute_1_1843,refute_1_1844]) ).
cnf(refute_1_1846,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1842,refute_1_1845]) ).
cnf(refute_1_1847,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))) != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| one != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))
| one = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) ),[1],$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1848,plain,
( one != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))
| one = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one)))),complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1846,refute_1_1847]) ).
cnf(refute_1_1849,plain,
one = complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(one,join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(one))))) )],[refute_1_1826,refute_1_1848]) ).
cnf(refute_1_1850,plain,
( one != complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_1851,plain,
complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1849,refute_1_1850]) ).
cnf(refute_1_1852,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != one
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) ),[1,1,0,0,0],$fot(one)]]) ).
cnf(refute_1_1853,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),one) )],[refute_1_1851,refute_1_1852]) ).
cnf(refute_1_1854,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_1718,refute_1_1853]) ).
cnf(refute_1_1855,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = complement(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1856,plain,
( complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != one
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),complement(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_1857,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),one) )],[refute_1_1851,refute_1_1856]) ).
cnf(refute_1_1858,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),complement(complement(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1855,refute_1_1857]) ).
cnf(refute_1_1859,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(one)
| meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))
| complement(one) = meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))) ),[0],$fot(complement(one))]]) ).
cnf(refute_1_1860,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))
| complement(one) = meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),complement(one)) )],[refute_1_1858,refute_1_1859]) ).
cnf(refute_1_1861,plain,
meet(converse(complement(one)),complement(one)) = meet(complement(one),converse(complement(one))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(converse(complement(one))))]]) ).
cnf(refute_1_1862,plain,
meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1863,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(one)
| meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_1864,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(one)
| meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1862,refute_1_1863]) ).
cnf(refute_1_1865,plain,
meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),complement(one)) )],[refute_1_1858,refute_1_1864]) ).
cnf(refute_1_1866,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_1_1867,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_1868,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_1_1866,refute_1_1867]) ).
cnf(refute_1_1869,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_1868]) ).
cnf(refute_1_1870,plain,
converse(complement(converse(one))) = converse(complement(converse(one))),
introduced(tautology,[refl,[$fot(converse(complement(converse(one))))]]) ).
cnf(refute_1_1871,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) != converse(complement(converse(one)))
| converse(complement(converse(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_1872,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) )],[refute_1_1870,refute_1_1871]) ).
cnf(refute_1_1873,plain,
converse(complement(converse(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_1_1869,refute_1_1872]) ).
cnf(refute_1_1874,plain,
meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1875,plain,
( converse(complement(converse(one))) != converse(complement(one))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_1_1876,plain,
( converse(complement(converse(one))) != converse(complement(one))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1874,refute_1_1875]) ).
cnf(refute_1_1877,plain,
meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(one))) )],[refute_1_1873,refute_1_1876]) ).
cnf(refute_1_1878,plain,
( meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),complement(one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(meet(converse(complement(one)),complement(one))))]]) ).
cnf(refute_1_1879,plain,
( meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1877,refute_1_1878]) ).
cnf(refute_1_1880,plain,
meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(one)),complement(one))) )],[refute_1_1865,refute_1_1879]) ).
cnf(refute_1_1881,plain,
( meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(converse(complement(one)),complement(one))
| meet(converse(complement(one)),complement(one)) != meet(complement(one),converse(complement(one)))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(complement(one),converse(complement(one))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(meet(converse(complement(one)),complement(one)))),bind(Z,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_1_1882,plain,
( meet(converse(complement(one)),complement(one)) != meet(complement(one),converse(complement(one)))
| meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(converse(complement(one)),complement(one))) )],[refute_1_1880,refute_1_1881]) ).
cnf(refute_1_1883,plain,
meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(one)),meet(complement(one),converse(complement(one)))) )],[refute_1_1861,refute_1_1882]) ).
cnf(refute_1_1884,plain,
meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) = meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(complement(converse(one))))),bind(X_602,$fot(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_1885,plain,
( meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(complement(one),converse(complement(one)))
| meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) != meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))
| meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) = meet(complement(one),converse(complement(one))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))))),bind(Y,$fot(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_1_1886,plain,
( meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))) != meet(complement(one),converse(complement(one)))
| meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))),meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1884,refute_1_1885]) ).
cnf(refute_1_1887,plain,
meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(one))),meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1)))))),meet(complement(one),converse(complement(one)))) )],[refute_1_1883,refute_1_1886]) ).
cnf(refute_1_1888,plain,
( complement(one) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))
| meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))) != meet(complement(one),converse(complement(one)))
| complement(one) = meet(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(complement(one)))) ),[0],$fot(meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))))]]) ).
cnf(refute_1_1889,plain,
( complement(one) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one)))),meet(complement(one),converse(complement(one)))) )],[refute_1_1887,refute_1_1888]) ).
cnf(refute_1_1890,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(complement(one),meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))) )],[refute_1_1860,refute_1_1889]) ).
cnf(refute_1_1891,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0_1)),complement(meet(one,composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(complement(converse(one))))) )],[refute_1_1854,refute_1_1890]) ).
cnf(refute_1_1892,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_1_1893,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_1_1891,refute_1_1892]) ).
cnf(refute_1_1894,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))
| meet(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = join(meet(converse(complement(one)),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_1895,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))
| converse(complement(one)) = join(meet(converse(complement(one)),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_1_1893,refute_1_1894]) ).
cnf(refute_1_1896,plain,
converse(complement(one)) = join(meet(converse(complement(one)),one),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))) )],[refute_1_1717,refute_1_1895]) ).
cnf(refute_1_1897,plain,
meet(converse(complement(one)),one) = meet(one,converse(complement(one))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(converse(complement(one))))]]) ).
cnf(refute_1_1898,plain,
join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(one)),one)))]]) ).
cnf(refute_1_1899,plain,
( join(complement(one),meet(converse(complement(one)),one)) != join(complement(one),meet(converse(complement(one)),one))
| meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),one)),join(complement(one),meet(converse(complement(one)),one))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_1_1900,plain,
( meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),one)),join(complement(one),meet(converse(complement(one)),one))) )],[refute_1_1898,refute_1_1899]) ).
cnf(refute_1_1901,plain,
join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),one),meet(one,converse(complement(one)))) )],[refute_1_1897,refute_1_1900]) ).
cnf(refute_1_1902,plain,
join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(converse(complement(one)),one)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(converse(complement(one)),one)))]]) ).
cnf(refute_1_1903,plain,
( join(complement(one),meet(converse(complement(one)),one)) != join(complement(one),meet(one,converse(complement(one))))
| join(meet(converse(complement(one)),one),complement(one)) != join(complement(one),meet(converse(complement(one)),one))
| join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(converse(complement(one)),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(complement(one)),one)))),bind(Z,$fot(join(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_1_1904,plain,
( join(complement(one),meet(converse(complement(one)),one)) != join(complement(one),meet(one,converse(complement(one))))
| join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(one)),one),complement(one)),join(complement(one),meet(converse(complement(one)),one))) )],[refute_1_1902,refute_1_1903]) ).
cnf(refute_1_1905,plain,
join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_1_1901,refute_1_1904]) ).
cnf(refute_1_1906,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),complement(one))
| join(meet(converse(complement(one)),one),complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) ),[0],$fot(join(meet(converse(complement(one)),one),complement(one)))]]) ).
cnf(refute_1_1907,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),complement(one))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(one)),one),complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_1_1905,refute_1_1906]) ).
cnf(refute_1_1908,plain,
converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(converse(complement(one)),one),complement(one))) )],[refute_1_1896,refute_1_1907]) ).
cnf(refute_1_1909,plain,
join(complement(one),zero) = complement(one),
inference(subst,[],[refute_1_1534:[bind(X1,$fot(complement(one)))]]) ).
cnf(refute_1_1910,plain,
meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_676))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(meet(one,composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_1911,plain,
join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)) = join(join(complement(one),composition(converse(X_616),complement(X_616))),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(converse(X_616),complement(X_616)))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_1912,plain,
join(complement(one),composition(converse(X_616),complement(composition(X_616,one)))) = complement(one),
inference(subst,[],[refute_1_73:[bind(X0,$fot(X_616)),bind(X1,$fot(one))]]) ).
cnf(refute_1_1913,plain,
composition(X_616,one) = X_616,
inference(subst,[],[refute_1_82:[bind(X0,$fot(X_616))]]) ).
cnf(refute_1_1914,plain,
( composition(X_616,one) != X_616
| join(complement(one),composition(converse(X_616),complement(composition(X_616,one)))) != complement(one)
| join(complement(one),composition(converse(X_616),complement(X_616))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_616),complement(composition(X_616,one)))),complement(one)) ),[0,1,1,0],$fot(X_616)]]) ).
cnf(refute_1_1915,plain,
( join(complement(one),composition(converse(X_616),complement(composition(X_616,one)))) != complement(one)
| join(complement(one),composition(converse(X_616),complement(X_616))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_616,one),X_616) )],[refute_1_1913,refute_1_1914]) ).
cnf(refute_1_1916,plain,
join(complement(one),composition(converse(X_616),complement(X_616))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_616),complement(composition(X_616,one)))),complement(one)) )],[refute_1_1912,refute_1_1915]) ).
cnf(refute_1_1917,plain,
( join(complement(one),composition(converse(X_616),complement(X_616))) != complement(one)
| join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)) != join(join(complement(one),composition(converse(X_616),complement(X_616))),X_729)
| join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)) = join(complement(one),X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)),join(join(complement(one),composition(converse(X_616),complement(X_616))),X_729)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_1918,plain,
( join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)) != join(join(complement(one),composition(converse(X_616),complement(X_616))),X_729)
| join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)) = join(complement(one),X_729) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_616),complement(X_616))),complement(one)) )],[refute_1_1916,refute_1_1917]) ).
cnf(refute_1_1919,plain,
join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)) = join(complement(one),X_729),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(X_616),complement(X_616)),X_729)),join(join(complement(one),composition(converse(X_616),complement(X_616))),X_729)) )],[refute_1_1911,refute_1_1918]) ).
cnf(refute_1_1920,plain,
join(complement(one),join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))) = join(complement(one),complement(composition(converse(X_826),complement(X_826)))),
inference(subst,[],[refute_1_1919:[bind(X_616,$fot(X_826)),bind(X_729,$fot(complement(composition(converse(X_826),complement(X_826)))))]]) ).
cnf(refute_1_1921,plain,
top = join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826)))),
inference(subst,[],[refute_1_48:[bind(X0,$fot(composition(converse(X_826),complement(X_826))))]]) ).
cnf(refute_1_1922,plain,
( top != join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))
| join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))))]]) ).
cnf(refute_1_1923,plain,
join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826)))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))) )],[refute_1_1921,refute_1_1922]) ).
cnf(refute_1_1924,plain,
( join(complement(one),join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))) != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826)))) != top
| join(complement(one),top) = join(complement(one),complement(composition(converse(X_826),complement(X_826)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))),join(complement(one),complement(composition(converse(X_826),complement(X_826))))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_1925,plain,
( join(complement(one),join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))) != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| join(complement(one),top) = join(complement(one),complement(composition(converse(X_826),complement(X_826)))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826)))),top) )],[refute_1_1923,refute_1_1924]) ).
cnf(refute_1_1926,plain,
join(complement(one),top) = join(complement(one),complement(composition(converse(X_826),complement(X_826)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(X_826),complement(X_826)),complement(composition(converse(X_826),complement(X_826))))),join(complement(one),complement(composition(converse(X_826),complement(X_826))))) )],[refute_1_1920,refute_1_1925]) ).
cnf(refute_1_1927,plain,
join(complement(one),top) = top,
inference(subst,[],[refute_1_1238:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_1_1928,plain,
( join(complement(one),top) != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| join(complement(one),top) != top
| top = join(complement(one),complement(composition(converse(X_826),complement(X_826)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),top),join(complement(one),complement(composition(converse(X_826),complement(X_826))))) ),[0],$fot(top)]]) ).
cnf(refute_1_1929,plain,
( join(complement(one),top) != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| top = join(complement(one),complement(composition(converse(X_826),complement(X_826)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),top),top) )],[refute_1_1927,refute_1_1928]) ).
cnf(refute_1_1930,plain,
join(complement(one),complement(composition(converse(X_826),complement(X_826)))) = complement(meet(one,composition(converse(X_826),complement(X_826)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(composition(converse(X_826),complement(X_826))))]]) ).
cnf(refute_1_1931,plain,
( join(complement(one),complement(composition(converse(X_826),complement(X_826)))) != complement(meet(one,composition(converse(X_826),complement(X_826))))
| top != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| top = complement(meet(one,composition(converse(X_826),complement(X_826)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),complement(composition(converse(X_826),complement(X_826))))) ),[1],$fot(complement(meet(one,composition(converse(X_826),complement(X_826)))))]]) ).
cnf(refute_1_1932,plain,
( top != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| top = complement(meet(one,composition(converse(X_826),complement(X_826)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(converse(X_826),complement(X_826)))),complement(meet(one,composition(converse(X_826),complement(X_826))))) )],[refute_1_1930,refute_1_1931]) ).
cnf(refute_1_1933,plain,
( join(complement(one),top) != join(complement(one),complement(composition(converse(X_826),complement(X_826))))
| top = complement(meet(one,composition(converse(X_826),complement(X_826)))) ),
inference(resolve,[$cnf( $equal(top,join(complement(one),complement(composition(converse(X_826),complement(X_826))))) )],[refute_1_1929,refute_1_1932]) ).
cnf(refute_1_1934,plain,
top = complement(meet(one,composition(converse(X_826),complement(X_826)))),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(complement(one),complement(composition(converse(X_826),complement(X_826))))) )],[refute_1_1926,refute_1_1933]) ).
cnf(refute_1_1935,plain,
top = complement(meet(one,composition(converse(X_831),complement(X_831)))),
inference(subst,[],[refute_1_1934:[bind(X_826,$fot(X_831))]]) ).
cnf(refute_1_1936,plain,
( top != complement(meet(one,composition(converse(X_831),complement(X_831))))
| complement(meet(one,composition(converse(X_831),complement(X_831)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1937,plain,
complement(meet(one,composition(converse(X_831),complement(X_831)))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1935,refute_1_1936]) ).
cnf(refute_1_1938,plain,
( complement(meet(one,composition(converse(X_831),complement(X_831)))) != top
| meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_676)))
| meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_676)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_1_1939,plain,
( meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_676)))
| meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(X_831),complement(X_831)))),top) )],[refute_1_1937,refute_1_1938]) ).
cnf(refute_1_1940,plain,
meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_676)))) )],[refute_1_1910,refute_1_1939]) ).
cnf(refute_1_1941,plain,
X_703 = join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_703)),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(meet(one,composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_1942,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_703))
| complement(meet(one,composition(converse(X_831),complement(X_831)))) != top
| X_703 = join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) ),
introduced(tautology,[equality,[$cnf( $equal(X_703,join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_703))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_1943,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_703))
| X_703 = join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(X_831),complement(X_831)))),top) )],[refute_1_1937,refute_1_1942]) ).
cnf(refute_1_1944,plain,
X_703 = join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)),
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),X_703))) )],[refute_1_1941,refute_1_1943]) ).
cnf(refute_1_1945,plain,
meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,complement(meet(one,composition(converse(X_831),complement(X_831))))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(meet(one,composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_1946,plain,
( complement(meet(one,composition(converse(X_831),complement(X_831)))) != top
| meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,complement(meet(one,composition(converse(X_831),complement(X_831)))))))
| meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,complement(meet(one,composition(converse(X_831),complement(X_831)))))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_1_1947,plain,
( meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,complement(meet(one,composition(converse(X_831),complement(X_831)))))))
| meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(X_831),complement(X_831)))),top) )],[refute_1_1937,refute_1_1946]) ).
cnf(refute_1_1948,plain,
meet(one,composition(converse(X_831),complement(X_831))) = join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,complement(meet(one,composition(converse(X_831),complement(X_831)))))))) )],[refute_1_1945,refute_1_1947]) ).
cnf(refute_1_1949,plain,
join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1950,plain,
join(X_711,top) = top,
inference(subst,[],[refute_1_1238:[bind(X0,$fot(X_711))]]) ).
cnf(refute_1_1951,plain,
complement(join(X_711,top)) = complement(join(X_711,top)),
introduced(tautology,[refl,[$fot(complement(join(X_711,top)))]]) ).
cnf(refute_1_1952,plain,
( complement(join(X_711,top)) != complement(join(X_711,top))
| join(X_711,top) != top
| complement(join(X_711,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_711,top)),complement(join(X_711,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1953,plain,
( join(X_711,top) != top
| complement(join(X_711,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(X_711,top)),complement(join(X_711,top))) )],[refute_1_1951,refute_1_1952]) ).
cnf(refute_1_1954,plain,
complement(join(X_711,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(X_711,top),top) )],[refute_1_1950,refute_1_1953]) ).
cnf(refute_1_1955,plain,
( complement(join(X_711,top)) != complement(top)
| complement(top) != zero
| complement(join(X_711,top)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(X_711,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1956,plain,
( complement(top) != zero
| complement(join(X_711,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(X_711,top)),complement(top)) )],[refute_1_1954,refute_1_1955]) ).
cnf(refute_1_1957,plain,
complement(join(X_711,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_1956]) ).
cnf(refute_1_1958,plain,
join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),
introduced(tautology,[refl,[$fot(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1959,plain,
( complement(join(X_711,top)) != zero
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) != join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1960,plain,
( complement(join(X_711,top)) != zero
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1958,refute_1_1959]) ).
cnf(refute_1_1961,plain,
join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),
inference(resolve,[$cnf( $equal(complement(join(X_711,top)),zero) )],[refute_1_1957,refute_1_1960]) ).
cnf(refute_1_1962,plain,
( join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) != join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))
| join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) != meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Y,$fot(join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1963,plain,
( join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) != meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1961,refute_1_1962]) ).
cnf(refute_1_1964,plain,
join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1949,refute_1_1963]) ).
cnf(refute_1_1965,plain,
join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) = join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(X_711,top)))),bind(X1,$fot(meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1966,plain,
( join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) != meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))
| join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) != join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))
| join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))))),bind(Y,$fot(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1967,plain,
( join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) != meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))
| join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))),join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1965,refute_1_1966]) ).
cnf(refute_1_1968,plain,
join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1964,refute_1_1967]) ).
cnf(refute_1_1969,plain,
( join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))) != meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))
| meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top)))
| meet(one,composition(converse(X_831),complement(X_831))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top)))) ),[1],$fot(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_1970,plain,
( meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top)))
| meet(one,composition(converse(X_831),complement(X_831))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top))),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1968,refute_1_1969]) ).
cnf(refute_1_1971,plain,
meet(one,composition(converse(X_831),complement(X_831))) = meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(X_711,top)))) )],[refute_1_1948,refute_1_1970]) ).
cnf(refute_1_1972,plain,
( meet(one,composition(converse(X_831),complement(X_831))) != meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))
| meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) = meet(one,composition(converse(X_831),complement(X_831))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,composition(converse(X_831),complement(X_831))))),bind(Y,$fot(meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1973,plain,
meet(X_711,meet(one,composition(converse(X_831),complement(X_831)))) = meet(one,composition(converse(X_831),complement(X_831))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),meet(X_711,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1971,refute_1_1972]) ).
cnf(refute_1_1974,plain,
meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))) = meet(one,composition(converse(X_831),complement(X_831))),
inference(subst,[],[refute_1_1973:[bind(X_711,$fot(X_703))]]) ).
cnf(refute_1_1975,plain,
join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),
introduced(tautology,[refl,[$fot(join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1976,plain,
( join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))
| meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))) != meet(one,composition(converse(X_831),complement(X_831)))
| join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))) ),[1,1],$fot(meet(one,composition(converse(X_831),complement(X_831))))]]) ).
cnf(refute_1_1977,plain,
( meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))) != meet(one,composition(converse(X_831),complement(X_831)))
| join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1975,refute_1_1976]) ).
cnf(refute_1_1978,plain,
join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(one,composition(converse(X_831),complement(X_831)))) )],[refute_1_1974,refute_1_1977]) ).
cnf(refute_1_1979,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_1_359:[bind(X_682,$fot(X1))]]) ).
cnf(refute_1_1980,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_1_1981,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_1_1982,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_1_1980,refute_1_1981]) ).
cnf(refute_1_1983,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_1_1979,refute_1_1982]) ).
cnf(refute_1_1984,plain,
( complement(join(zero,complement(X1))) != complement(complement(X1))
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_1_1985,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_1_1983,refute_1_1984]) ).
cnf(refute_1_1986,plain,
meet(top,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_1_302,refute_1_1985]) ).
cnf(refute_1_1987,plain,
( complement(complement(X1)) != X1
| meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_1_1988,plain,
( meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_1_366,refute_1_1987]) ).
cnf(refute_1_1989,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_1_1986,refute_1_1988]) ).
cnf(refute_1_1990,plain,
meet(top,X_703) = X_703,
inference(subst,[],[refute_1_1989:[bind(X1,$fot(X_703))]]) ).
cnf(refute_1_1991,plain,
join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),
introduced(tautology,[refl,[$fot(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1992,plain,
( join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))
| meet(top,X_703) != X_703
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))) ),[1,0],$fot(X_703)]]) ).
cnf(refute_1_1993,plain,
( meet(top,X_703) != X_703
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1991,refute_1_1992]) ).
cnf(refute_1_1994,plain,
join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),
inference(resolve,[$cnf( $equal(meet(top,X_703),X_703) )],[refute_1_1990,refute_1_1993]) ).
cnf(refute_1_1995,plain,
( join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(X_703,meet(one,composition(converse(X_831),complement(X_831))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Y,$fot(join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(join(X_703,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1996,plain,
( join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(X_703,meet(one,composition(converse(X_831),complement(X_831))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1994,refute_1_1995]) ).
cnf(refute_1_1997,plain,
join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(join(X_703,meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(X_703,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1978,refute_1_1996]) ).
cnf(refute_1_1998,plain,
join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) = join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(meet(top,X_703))),bind(X1,$fot(meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_1999,plain,
( join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) != join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(X_703,meet(one,composition(converse(X_831),complement(X_831))))
| join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)))),bind(Y,$fot(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(join(X_703,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_2000,plain,
( join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))) != join(X_703,meet(one,composition(converse(X_831),complement(X_831))))
| join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)),join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_1998,refute_1_1999]) ).
cnf(refute_1_2001,plain,
join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(X_831),complement(X_831))))),join(X_703,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_1997,refute_1_2000]) ).
cnf(refute_1_2002,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703))
| join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)) != join(X_703,meet(one,composition(converse(X_831),complement(X_831))))
| X_703 = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_703,join(X_703,meet(one,composition(converse(X_831),complement(X_831))))) ),[0],$fot(join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)))]]) ).
cnf(refute_1_2003,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703))
| X_703 = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703)),join(X_703,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_2001,refute_1_2002]) ).
cnf(refute_1_2004,plain,
X_703 = join(X_703,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,meet(one,composition(converse(X_831),complement(X_831)))),meet(top,X_703))) )],[refute_1_1944,refute_1_2003]) ).
cnf(refute_1_2005,plain,
( X_703 != join(X_703,meet(one,composition(converse(X_831),complement(X_831))))
| join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) = X_703 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_703)),bind(Y,$fot(join(X_703,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_2006,plain,
join(X_703,meet(one,composition(converse(X_831),complement(X_831)))) = X_703,
inference(resolve,[$cnf( $equal(X_703,join(X_703,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_2004,refute_1_2005]) ).
cnf(refute_1_2007,plain,
join(zero,meet(one,composition(converse(X_831),complement(X_831)))) = zero,
inference(subst,[],[refute_1_2006:[bind(X_703,$fot(zero))]]) ).
cnf(refute_1_2008,plain,
meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))) = meet(one,composition(converse(X_831),complement(X_831))),
inference(subst,[],[refute_1_1973:[bind(X_711,$fot(X_676))]]) ).
cnf(refute_1_2009,plain,
join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_2010,plain,
( join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))
| meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))) != meet(one,composition(converse(X_831),complement(X_831)))
| join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(one,composition(converse(X_831),complement(X_831)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))) ),[1,1],$fot(meet(one,composition(converse(X_831),complement(X_831))))]]) ).
cnf(refute_1_2011,plain,
( meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))) != meet(one,composition(converse(X_831),complement(X_831)))
| join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_2009,refute_1_2010]) ).
cnf(refute_1_2012,plain,
join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),meet(one,composition(converse(X_831),complement(X_831)))) )],[refute_1_2008,refute_1_2011]) ).
cnf(refute_1_2013,plain,
join(top,X_676) = top,
inference(subst,[],[refute_1_374:[bind(X1,$fot(X_676))]]) ).
cnf(refute_1_2014,plain,
complement(join(top,X_676)) = complement(join(top,X_676)),
introduced(tautology,[refl,[$fot(complement(join(top,X_676)))]]) ).
cnf(refute_1_2015,plain,
( complement(join(top,X_676)) != complement(join(top,X_676))
| join(top,X_676) != top
| complement(join(top,X_676)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X_676)),complement(join(top,X_676))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_2016,plain,
( join(top,X_676) != top
| complement(join(top,X_676)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X_676)),complement(join(top,X_676))) )],[refute_1_2014,refute_1_2015]) ).
cnf(refute_1_2017,plain,
complement(join(top,X_676)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X_676),top) )],[refute_1_2013,refute_1_2016]) ).
cnf(refute_1_2018,plain,
( complement(join(top,X_676)) != complement(top)
| complement(top) != zero
| complement(join(top,X_676)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(top,X_676)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_2019,plain,
( complement(top) != zero
| complement(join(top,X_676)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X_676)),complement(top)) )],[refute_1_2017,refute_1_2018]) ).
cnf(refute_1_2020,plain,
complement(join(top,X_676)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2019]) ).
cnf(refute_1_2021,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_2022,plain,
( complement(join(top,X_676)) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2023,plain,
( complement(join(top,X_676)) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_2021,refute_1_2022]) ).
cnf(refute_1_2024,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),
inference(resolve,[$cnf( $equal(complement(join(top,X_676)),zero) )],[refute_1_2020,refute_1_2023]) ).
cnf(refute_1_2025,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))
| join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != join(zero,meet(one,composition(converse(X_831),complement(X_831))))
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Y,$fot(join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(join(zero,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_2026,plain,
( join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != join(zero,meet(one,composition(converse(X_831),complement(X_831))))
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(one,composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_2024,refute_1_2025]) ).
cnf(refute_1_2027,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = join(zero,meet(one,composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(zero,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_2012,refute_1_2026]) ).
cnf(refute_1_2028,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != join(zero,meet(one,composition(converse(X_831),complement(X_831))))
| join(zero,meet(one,composition(converse(X_831),complement(X_831)))) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Y,$fot(join(zero,meet(one,composition(converse(X_831),complement(X_831)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_2029,plain,
( join(zero,meet(one,composition(converse(X_831),complement(X_831)))) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),join(zero,meet(one,composition(converse(X_831),complement(X_831))))) )],[refute_1_2027,refute_1_2028]) ).
cnf(refute_1_2030,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(one,composition(converse(X_831),complement(X_831)))),zero) )],[refute_1_2007,refute_1_2029]) ).
cnf(refute_1_2031,plain,
join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) = join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(top,X_676)))),bind(X1,$fot(meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_2032,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != zero
| join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) != join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))
| join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))))),bind(Y,$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_2033,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))) != zero
| join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))),join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))))) )],[refute_1_2031,refute_1_2032]) ).
cnf(refute_1_2034,plain,
join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) = zero,
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(X_831),complement(X_831))))),zero) )],[refute_1_2030,refute_1_2033]) ).
cnf(refute_1_2035,plain,
( join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))) != zero
| meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676)))
| meet(one,composition(converse(X_831),complement(X_831))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676)))) ),[1],$fot(zero)]]) ).
cnf(refute_1_2036,plain,
( meet(one,composition(converse(X_831),complement(X_831))) != join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676)))
| meet(one,composition(converse(X_831),complement(X_831))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676))),zero) )],[refute_1_2034,refute_1_2035]) ).
cnf(refute_1_2037,plain,
meet(one,composition(converse(X_831),complement(X_831))) = zero,
inference(resolve,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),join(meet(X_676,meet(one,composition(converse(X_831),complement(X_831)))),complement(join(top,X_676)))) )],[refute_1_1940,refute_1_2036]) ).
cnf(refute_1_2038,plain,
meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) = zero,
inference(subst,[],[refute_1_2037:[bind(X_831,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2039,plain,
one = join(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(one)),bind(X_676,$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2040,plain,
meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2041,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = join(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(X_711,$fot(complement(one)))]]) ).
cnf(refute_1_2042,plain,
complement(one) = join(complement(join(one,composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(one)),bind(X_713,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2043,plain,
join(one,join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))) = top,
inference(subst,[],[refute_1_1731:[bind(X2,$fot(composition(complement(skolemFOFtoCNF_X0_1),X_870)))]]) ).
cnf(refute_1_2044,plain,
converse(converse(join(X_725,composition(X_725,X_726)))) = join(X_725,composition(X_725,X_726)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(join(X_725,composition(X_725,X_726))))]]) ).
cnf(refute_1_2045,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),composition(converse(X1),converse(X0))),
inference(subst,[],[refute_1_174:[bind(X_631,$fot(converse(X1))),bind(X_633,$fot(converse(X0)))]]) ).
cnf(refute_1_2046,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$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_1_2047,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( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_1_1022,refute_1_2046]) ).
cnf(refute_1_2048,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) )],[refute_1_2045,refute_1_2047]) ).
cnf(refute_1_2049,plain,
join(converse(one),X1) = join(converse(one),X1),
introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).
cnf(refute_1_2050,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_1_2051,plain,
( converse(one) != one
| join(converse(one),X1) = join(one,X1) ),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) )],[refute_1_2049,refute_1_2050]) ).
cnf(refute_1_2052,plain,
join(converse(one),X1) = join(one,X1),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_2051]) ).
cnf(refute_1_2053,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(converse(one),X1)),
introduced(tautology,[refl,[$fot(composition(X0,join(converse(one),X1)))]]) ).
cnf(refute_1_2054,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_1_2055,plain,
( join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) )],[refute_1_2053,refute_1_2054]) ).
cnf(refute_1_2056,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_1_2052,refute_1_2055]) ).
cnf(refute_1_2057,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(converse(one),X1))),
introduced(tautology,[refl,[$fot(converse(composition(X0,join(converse(one),X1))))]]) ).
cnf(refute_1_2058,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_1_2059,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( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) )],[refute_1_2057,refute_1_2058]) ).
cnf(refute_1_2060,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(one,X1))) )],[refute_1_2056,refute_1_2059]) ).
cnf(refute_1_2061,plain,
converse(composition(X_595,converse(join(X_627,converse(X_626))))) = composition(join(X_627,converse(X_626)),converse(X_595)),
inference(subst,[],[refute_1_161:[bind(X0,$fot(join(X_627,converse(X_626))))]]) ).
cnf(refute_1_2062,plain,
converse(join(X_627,converse(X_626))) = join(converse(X_627),X_626),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(X_626)),bind(X_593,$fot(X_627))]]) ).
cnf(refute_1_2063,plain,
( converse(composition(X_595,converse(join(X_627,converse(X_626))))) != composition(join(X_627,converse(X_626)),converse(X_595))
| converse(join(X_627,converse(X_626))) != join(converse(X_627),X_626)
| converse(composition(X_595,join(converse(X_627),X_626))) = composition(join(X_627,converse(X_626)),converse(X_595)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_595,converse(join(X_627,converse(X_626))))),composition(join(X_627,converse(X_626)),converse(X_595))) ),[0,0,1],$fot(join(converse(X_627),X_626))]]) ).
cnf(refute_1_2064,plain,
( converse(composition(X_595,converse(join(X_627,converse(X_626))))) != composition(join(X_627,converse(X_626)),converse(X_595))
| converse(composition(X_595,join(converse(X_627),X_626))) = composition(join(X_627,converse(X_626)),converse(X_595)) ),
inference(resolve,[$cnf( $equal(converse(join(X_627,converse(X_626))),join(converse(X_627),X_626)) )],[refute_1_2062,refute_1_2063]) ).
cnf(refute_1_2065,plain,
converse(composition(X_595,join(converse(X_627),X_626))) = composition(join(X_627,converse(X_626)),converse(X_595)),
inference(resolve,[$cnf( $equal(converse(composition(X_595,converse(join(X_627,converse(X_626))))),composition(join(X_627,converse(X_626)),converse(X_595))) )],[refute_1_2061,refute_1_2064]) ).
cnf(refute_1_2066,plain,
( converse(composition(X_595,join(converse(X_627),X_626))) != composition(join(X_627,converse(X_626)),converse(X_595))
| composition(join(X_627,converse(X_626)),converse(X_595)) = converse(composition(X_595,join(converse(X_627),X_626))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(X_595,join(converse(X_627),X_626))))),bind(Y,$fot(composition(join(X_627,converse(X_626)),converse(X_595))))]]) ).
cnf(refute_1_2067,plain,
composition(join(X_627,converse(X_626)),converse(X_595)) = converse(composition(X_595,join(converse(X_627),X_626))),
inference(resolve,[$cnf( $equal(converse(composition(X_595,join(converse(X_627),X_626))),composition(join(X_627,converse(X_626)),converse(X_595))) )],[refute_1_2065,refute_1_2066]) ).
cnf(refute_1_2068,plain,
composition(join(one,converse(X1)),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(subst,[],[refute_1_2067:[bind(X_595,$fot(X0)),bind(X_626,$fot(X1)),bind(X_627,$fot(one))]]) ).
cnf(refute_1_2069,plain,
composition(join(X_634,one),X_635) = join(X_635,composition(X_634,X_635)),
inference(subst,[],[refute_1_174:[bind(X_631,$fot(X_634)),bind(X_633,$fot(X_635))]]) ).
cnf(refute_1_2070,plain,
join(one,X_634) = join(X_634,one),
inference(subst,[],[refute_1_1:[bind(X0,$fot(one)),bind(X1,$fot(X_634))]]) ).
cnf(refute_1_2071,plain,
( join(one,X_634) != join(X_634,one)
| join(X_634,one) = join(one,X_634) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,X_634))),bind(Y,$fot(join(X_634,one)))]]) ).
cnf(refute_1_2072,plain,
join(X_634,one) = join(one,X_634),
inference(resolve,[$cnf( $equal(join(one,X_634),join(X_634,one)) )],[refute_1_2070,refute_1_2071]) ).
cnf(refute_1_2073,plain,
( composition(join(X_634,one),X_635) != join(X_635,composition(X_634,X_635))
| join(X_634,one) != join(one,X_634)
| composition(join(one,X_634),X_635) = join(X_635,composition(X_634,X_635)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_634,one),X_635),join(X_635,composition(X_634,X_635))) ),[0,0],$fot(join(one,X_634))]]) ).
cnf(refute_1_2074,plain,
( composition(join(X_634,one),X_635) != join(X_635,composition(X_634,X_635))
| composition(join(one,X_634),X_635) = join(X_635,composition(X_634,X_635)) ),
inference(resolve,[$cnf( $equal(join(X_634,one),join(one,X_634)) )],[refute_1_2072,refute_1_2073]) ).
cnf(refute_1_2075,plain,
composition(join(one,X_634),X_635) = join(X_635,composition(X_634,X_635)),
inference(resolve,[$cnf( $equal(composition(join(X_634,one),X_635),join(X_635,composition(X_634,X_635))) )],[refute_1_2069,refute_1_2074]) ).
cnf(refute_1_2076,plain,
( composition(join(X_631,one),X_633) != join(X_633,composition(X_631,X_633))
| join(X_633,composition(X_631,X_633)) = composition(join(X_631,one),X_633) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_631,one),X_633))),bind(Y,$fot(join(X_633,composition(X_631,X_633))))]]) ).
cnf(refute_1_2077,plain,
join(X_633,composition(X_631,X_633)) = composition(join(X_631,one),X_633),
inference(resolve,[$cnf( $equal(composition(join(X_631,one),X_633),join(X_633,composition(X_631,X_633))) )],[refute_1_174,refute_1_2076]) ).
cnf(refute_1_2078,plain,
join(X_635,composition(X_634,X_635)) = composition(join(X_634,one),X_635),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(X_634)),bind(X_633,$fot(X_635))]]) ).
cnf(refute_1_2079,plain,
( composition(join(one,X_634),X_635) != join(X_635,composition(X_634,X_635))
| join(X_635,composition(X_634,X_635)) != composition(join(X_634,one),X_635)
| composition(join(one,X_634),X_635) = composition(join(X_634,one),X_635) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_634),X_635),composition(join(X_634,one),X_635)) ),[0],$fot(join(X_635,composition(X_634,X_635)))]]) ).
cnf(refute_1_2080,plain,
( composition(join(one,X_634),X_635) != join(X_635,composition(X_634,X_635))
| composition(join(one,X_634),X_635) = composition(join(X_634,one),X_635) ),
inference(resolve,[$cnf( $equal(join(X_635,composition(X_634,X_635)),composition(join(X_634,one),X_635)) )],[refute_1_2078,refute_1_2079]) ).
cnf(refute_1_2081,plain,
composition(join(one,X_634),X_635) = composition(join(X_634,one),X_635),
inference(resolve,[$cnf( $equal(composition(join(one,X_634),X_635),join(X_635,composition(X_634,X_635))) )],[refute_1_2075,refute_1_2080]) ).
cnf(refute_1_2082,plain,
( composition(join(one,X_634),X_635) != composition(join(X_634,one),X_635)
| composition(join(X_634,one),X_635) = composition(join(one,X_634),X_635) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(one,X_634),X_635))),bind(Y,$fot(composition(join(X_634,one),X_635)))]]) ).
cnf(refute_1_2083,plain,
composition(join(X_634,one),X_635) = composition(join(one,X_634),X_635),
inference(resolve,[$cnf( $equal(composition(join(one,X_634),X_635),composition(join(X_634,one),X_635)) )],[refute_1_2081,refute_1_2082]) ).
cnf(refute_1_2084,plain,
composition(join(converse(X1),one),converse(X0)) = composition(join(one,converse(X1)),converse(X0)),
inference(subst,[],[refute_1_2083:[bind(X_634,$fot(converse(X1))),bind(X_635,$fot(converse(X0)))]]) ).
cnf(refute_1_2085,plain,
( composition(join(converse(X1),one),converse(X0)) != composition(join(one,converse(X1)),converse(X0))
| composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_2086,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( $equal(composition(join(converse(X1),one),converse(X0)),composition(join(one,converse(X1)),converse(X0))) )],[refute_1_2084,refute_1_2085]) ).
cnf(refute_1_2087,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X1)),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_1_2068,refute_1_2086]) ).
cnf(refute_1_2088,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_2089,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( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_1_2087,refute_1_2088]) ).
cnf(refute_1_2090,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(one,X1)))) )],[refute_1_2060,refute_1_2089]) ).
cnf(refute_1_2091,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$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_1_2092,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( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(one,X1)))) )],[refute_1_2090,refute_1_2091]) ).
cnf(refute_1_2093,plain,
join(converse(X0),converse(composition(X0,X1))) = converse(join(X0,composition(X0,X1))),
inference(subst,[],[refute_1_1047:[bind(X1,$fot(composition(X0,X1)))]]) ).
cnf(refute_1_2094,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_1_2095,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( $equal(join(converse(X0),converse(composition(X0,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_1_2093,refute_1_2094]) ).
cnf(refute_1_2096,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),join(converse(X0),converse(composition(X0,X1)))) )],[refute_1_2092,refute_1_2095]) ).
cnf(refute_1_2097,plain,
converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) )],[refute_1_2048,refute_1_2096]) ).
cnf(refute_1_2098,plain,
converse(composition(X_725,join(one,X_726))) = converse(join(X_725,composition(X_725,X_726))),
inference(subst,[],[refute_1_2097:[bind(X0,$fot(X_725)),bind(X1,$fot(X_726))]]) ).
cnf(refute_1_2099,plain,
( converse(composition(X_725,join(one,X_726))) != converse(join(X_725,composition(X_725,X_726)))
| converse(join(X_725,composition(X_725,X_726))) = converse(composition(X_725,join(one,X_726))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(X_725,join(one,X_726))))),bind(Y,$fot(converse(join(X_725,composition(X_725,X_726)))))]]) ).
cnf(refute_1_2100,plain,
converse(join(X_725,composition(X_725,X_726))) = converse(composition(X_725,join(one,X_726))),
inference(resolve,[$cnf( $equal(converse(composition(X_725,join(one,X_726))),converse(join(X_725,composition(X_725,X_726)))) )],[refute_1_2098,refute_1_2099]) ).
cnf(refute_1_2101,plain,
( converse(converse(join(X_725,composition(X_725,X_726)))) != join(X_725,composition(X_725,X_726))
| converse(join(X_725,composition(X_725,X_726))) != converse(composition(X_725,join(one,X_726)))
| converse(converse(composition(X_725,join(one,X_726)))) = join(X_725,composition(X_725,X_726)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_725,composition(X_725,X_726)))),join(X_725,composition(X_725,X_726))) ),[0,0],$fot(converse(composition(X_725,join(one,X_726))))]]) ).
cnf(refute_1_2102,plain,
( converse(converse(join(X_725,composition(X_725,X_726)))) != join(X_725,composition(X_725,X_726))
| converse(converse(composition(X_725,join(one,X_726)))) = join(X_725,composition(X_725,X_726)) ),
inference(resolve,[$cnf( $equal(converse(join(X_725,composition(X_725,X_726))),converse(composition(X_725,join(one,X_726)))) )],[refute_1_2100,refute_1_2101]) ).
cnf(refute_1_2103,plain,
converse(converse(composition(X_725,join(one,X_726)))) = join(X_725,composition(X_725,X_726)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_725,composition(X_725,X_726)))),join(X_725,composition(X_725,X_726))) )],[refute_1_2044,refute_1_2102]) ).
cnf(refute_1_2104,plain,
converse(converse(composition(X_725,join(one,X_726)))) = composition(X_725,join(one,X_726)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(X_725,join(one,X_726))))]]) ).
cnf(refute_1_2105,plain,
( converse(converse(composition(X_725,join(one,X_726)))) != composition(X_725,join(one,X_726))
| converse(converse(composition(X_725,join(one,X_726)))) != join(X_725,composition(X_725,X_726))
| composition(X_725,join(one,X_726)) = join(X_725,composition(X_725,X_726)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(X_725,join(one,X_726)))),join(X_725,composition(X_725,X_726))) ),[0],$fot(composition(X_725,join(one,X_726)))]]) ).
cnf(refute_1_2106,plain,
( converse(converse(composition(X_725,join(one,X_726)))) != join(X_725,composition(X_725,X_726))
| composition(X_725,join(one,X_726)) = join(X_725,composition(X_725,X_726)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_725,join(one,X_726)))),composition(X_725,join(one,X_726))) )],[refute_1_2104,refute_1_2105]) ).
cnf(refute_1_2107,plain,
composition(X_725,join(one,X_726)) = join(X_725,composition(X_725,X_726)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_725,join(one,X_726)))),join(X_725,composition(X_725,X_726))) )],[refute_1_2103,refute_1_2106]) ).
cnf(refute_1_2108,plain,
composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)) = join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870)),
inference(subst,[],[refute_1_2107:[bind(X_725,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_726,$fot(X_870))]]) ).
cnf(refute_1_2109,plain,
( composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)) != join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))
| join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870)) = composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))))]]) ).
cnf(refute_1_2110,plain,
join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870)) = composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))) )],[refute_1_2108,refute_1_2109]) ).
cnf(refute_1_2111,plain,
( join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870)) != composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870))
| join(one,join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))) != top
| join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))),top) ),[0,1],$fot(composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870)))]]) ).
cnf(refute_1_2112,plain,
( join(one,join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))) != top
| join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870))) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870)),composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870))) )],[refute_1_2110,refute_1_2111]) ).
cnf(refute_1_2113,plain,
join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_870))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),composition(complement(skolemFOFtoCNF_X0_1),X_870))),top) )],[refute_1_2043,refute_1_2112]) ).
cnf(refute_1_2114,plain,
join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))))) = top,
inference(subst,[],[refute_1_2113:[bind(X_870,$fot(composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))))]]) ).
cnf(refute_1_2115,plain,
join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))) = top,
inference(subst,[],[refute_1_2113:[bind(X_870,$fot(X_873))]]) ).
cnf(refute_1_2116,plain,
( join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))) != top
| join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))))) != top
| join(one,composition(complement(skolemFOFtoCNF_X0_1),top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))))),top) ),[0,1,1],$fot(top)]]) ).
cnf(refute_1_2117,plain,
( join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))))) != top
| join(one,composition(complement(skolemFOFtoCNF_X0_1),top)) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))),top) )],[refute_1_2115,refute_1_2116]) ).
cnf(refute_1_2118,plain,
join(one,composition(complement(skolemFOFtoCNF_X0_1),top)) = top,
inference(resolve,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,composition(complement(skolemFOFtoCNF_X0_1),join(one,X_873))))),top) )],[refute_1_2114,refute_1_2117]) ).
cnf(refute_1_2119,plain,
( complement(one) != join(complement(join(one,composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| join(one,composition(complement(skolemFOFtoCNF_X0_1),top)) != top
| complement(one) = join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_2120,plain,
( complement(one) != join(complement(join(one,composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| complement(one) = join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0_1),top)),top) )],[refute_1_2118,refute_1_2119]) ).
cnf(refute_1_2121,plain,
complement(one) = join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) )],[refute_1_2042,refute_1_2120]) ).
cnf(refute_1_2122,plain,
join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2123,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2124,plain,
join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),
introduced(tautology,[refl,[$fot(join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))))]]) ).
cnf(refute_1_2125,plain,
( join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) != meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) ),[1,1],$fot(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2126,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) != meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) )],[refute_1_2124,refute_1_2125]) ).
cnf(refute_1_2127,plain,
join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2123,refute_1_2126]) ).
cnf(refute_1_2128,plain,
join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))))]]) ).
cnf(refute_1_2129,plain,
( complement(top) != zero
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2130,plain,
( complement(top) != zero
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) )],[refute_1_2128,refute_1_2129]) ).
cnf(refute_1_2131,plain,
join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2130]) ).
cnf(refute_1_2132,plain,
( join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))))),bind(Y,$fot(join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))))),bind(Z,$fot(join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2133,plain,
( join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) )],[refute_1_2131,refute_1_2132]) ).
cnf(refute_1_2134,plain,
join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_2127,refute_1_2133]) ).
cnf(refute_1_2135,plain,
( join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) != meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))))),bind(Y,$fot(join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))),bind(Z,$fot(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2136,plain,
( join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) != meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_2134,refute_1_2135]) ).
cnf(refute_1_2137,plain,
join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2122,refute_1_2136]) ).
cnf(refute_1_2138,plain,
( complement(one) != join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) != meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| complement(one) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0],$fot(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))))]]) ).
cnf(refute_1_2139,plain,
( complement(one) != join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))
| complement(one) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2137,refute_1_2138]) ).
cnf(refute_1_2140,plain,
complement(one) = meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))) )],[refute_1_2121,refute_1_2139]) ).
cnf(refute_1_2141,plain,
( complement(one) != meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2142,plain,
meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2140,refute_1_2141]) ).
cnf(refute_1_2143,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))
| meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) != complement(one)
| composition(complement(skolemFOFtoCNF_X0_1),top) = join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_2144,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))
| composition(complement(skolemFOFtoCNF_X0_1),top) = join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(one)) )],[refute_1_2142,refute_1_2143]) ).
cnf(refute_1_2145,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2041,refute_1_2144]) ).
cnf(refute_1_2146,plain,
join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2147,plain,
meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2148,plain,
( join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))
| meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) ),[1,1],$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2149,plain,
( join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_2147,refute_1_2148]) ).
cnf(refute_1_2150,plain,
meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_2146,refute_1_2149]) ).
cnf(refute_1_2151,plain,
complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2152,plain,
( complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))
| meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[1,0],$fot(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2153,plain,
( meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2151,refute_1_2152]) ).
cnf(refute_1_2154,plain,
complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_2150,refute_1_2153]) ).
cnf(refute_1_2155,plain,
join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2156,plain,
( complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))))),bind(Y,$fot(complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))))),bind(Z,$fot(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2157,plain,
( complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2155,refute_1_2156]) ).
cnf(refute_1_2158,plain,
join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2154,refute_1_2157]) ).
cnf(refute_1_2159,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| composition(complement(skolemFOFtoCNF_X0_1),top) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[0],$fot(join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2160,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))
| composition(complement(skolemFOFtoCNF_X0_1),top) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2158,refute_1_2159]) ).
cnf(refute_1_2161,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(one),complement(join(complement(one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2145,refute_1_2160]) ).
cnf(refute_1_2162,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(Y,$fot(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2163,plain,
complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2161,refute_1_2162]) ).
cnf(refute_1_2164,plain,
( complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) != composition(complement(skolemFOFtoCNF_X0_1),top)
| meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_2165,plain,
( meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_2163,refute_1_2164]) ).
cnf(refute_1_2166,plain,
meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(complement(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) )],[refute_1_2040,refute_1_2165]) ).
cnf(refute_1_2167,plain,
( meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| one != join(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))
| one = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2168,plain,
( one != join(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))
| one = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2166,refute_1_2167]) ).
cnf(refute_1_2169,plain,
one = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) )],[refute_1_2039,refute_1_2168]) ).
cnf(refute_1_2170,plain,
meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) = meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_1190:[bind(X0,$fot(one)),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2171,plain,
meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) = meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2172,plain,
( meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) != meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) != meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))
| meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) = meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one))),bind(Y,$fot(meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),bind(Z,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2173,plain,
( meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) != meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))
| meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) = meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one),meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_2171,refute_1_2172]) ).
cnf(refute_1_2174,plain,
meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) = meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(meet(one,meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2170,refute_1_2173]) ).
cnf(refute_1_2175,plain,
complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) = complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)),
introduced(tautology,[refl,[$fot(complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)))]]) ).
cnf(refute_1_2176,plain,
( complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) != complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one))
| meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) != meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))
| complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)),complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one))) ),[1,0],$fot(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_2177,plain,
( meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one) != meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))
| complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)),complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one))) )],[refute_1_2175,refute_1_2176]) ).
cnf(refute_1_2178,plain,
complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one),meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_2174,refute_1_2177]) ).
cnf(refute_1_2179,plain,
join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) = complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),bind(X1,$fot(one))]]) ).
cnf(refute_1_2180,plain,
( complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) != complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one))
| join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),bind(Y,$fot(complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)))),bind(Z,$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2181,plain,
( complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)),complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one))) )],[refute_1_2179,refute_1_2180]) ).
cnf(refute_1_2182,plain,
join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) = complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)),one)),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_2178,refute_1_2181]) ).
cnf(refute_1_2183,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))),
introduced(tautology,[refl,[$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))]]) ).
cnf(refute_1_2184,plain,
( join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) ),[1,1],$fot(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_2185,plain,
( join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)) != complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) )],[refute_1_2183,refute_1_2184]) ).
cnf(refute_1_2186,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_2182,refute_1_2185]) ).
cnf(refute_1_2187,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))))]]) ).
cnf(refute_1_2188,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) ),[1,0],$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_2189,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) )],[refute_1_2187,refute_1_2188]) ).
cnf(refute_1_2190,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_2186,refute_1_2189]) ).
cnf(refute_1_2191,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(X1,$fot(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))]]) ).
cnf(refute_1_2192,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))))),bind(Y,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))))),bind(Z,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2193,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) )],[refute_1_2191,refute_1_2192]) ).
cnf(refute_1_2194,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2190,refute_1_2193]) ).
cnf(refute_1_2195,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| one != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))
| one = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) ),[1],$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2196,plain,
( one != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))
| one = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one)))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2194,refute_1_2195]) ).
cnf(refute_1_2197,plain,
one = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(one,join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))),complement(one))))) )],[refute_1_2169,refute_1_2196]) ).
cnf(refute_1_2198,plain,
( one != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2199,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2197,refute_1_2198]) ).
cnf(refute_1_2200,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) != one
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) != zero
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))),zero) ),[0,1,1],$fot(one)]]) ).
cnf(refute_1_2201,plain,
( meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) != zero
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = zero ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one) )],[refute_1_2199,refute_1_2200]) ).
cnf(refute_1_2202,plain,
meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = zero,
inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))),zero) )],[refute_1_2038,refute_1_2201]) ).
cnf(refute_1_2203,plain,
composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one) = converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(subst,[],[refute_1_82:[bind(X0,$fot(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2204,plain,
meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)),
introduced(tautology,[refl,[$fot(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)))]]) ).
cnf(refute_1_2205,plain,
( composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one) != converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) != meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one))
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)),meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one))) ),[1,1],$fot(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2206,plain,
( composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one) != converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)),meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one))) )],[refute_1_2204,refute_1_2205]) ).
cnf(refute_1_2207,plain,
meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) = meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),
inference(resolve,[$cnf( $equal(composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one),converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2203,refute_1_2206]) ).
cnf(refute_1_2208,plain,
( meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) != meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) != zero
| meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)),zero) ),[0],$fot(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2209,plain,
( meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)) != zero
| meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)),meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) )],[refute_1_2207,refute_1_2208]) ).
cnf(refute_1_2210,plain,
meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one)),zero) )],[refute_1_2202,refute_1_2209]) ).
cnf(refute_1_2211,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2212,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) != one
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_2213,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),one) )],[refute_1_2199,refute_1_2212]) ).
cnf(refute_1_2214,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(one),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) )],[refute_1_2211,refute_1_2213]) ).
cnf(refute_1_2215,plain,
converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),
introduced(tautology,[refl,[$fot(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_2216,plain,
( converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) != converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(one)
| converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_2217,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(one)
| converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_2215,refute_1_2216]) ).
cnf(refute_1_2218,plain,
converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(one)) )],[refute_1_2214,refute_1_2217]) ).
cnf(refute_1_2219,plain,
meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),
introduced(tautology,[refl,[$fot(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_2220,plain,
( converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) != converse(complement(one))
| meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) != meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = meet(one,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_1_2221,plain,
( converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))) != converse(complement(one))
| meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))))) )],[refute_1_2219,refute_1_2220]) ).
cnf(refute_1_2222,plain,
meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top))))),converse(complement(one))) )],[refute_1_2218,refute_1_2221]) ).
cnf(refute_1_2223,plain,
( meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) != meet(one,converse(complement(one)))
| meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) != zero
| meet(one,converse(complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),zero) ),[0],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_1_2224,plain,
( meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))) != zero
| meet(one,converse(complement(one))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),meet(one,converse(complement(one)))) )],[refute_1_2222,refute_1_2223]) ).
cnf(refute_1_2225,plain,
meet(one,converse(complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(one,composition(complement(skolemFOFtoCNF_X0_1),top)))))),zero) )],[refute_1_2210,refute_1_2224]) ).
cnf(refute_1_2226,plain,
join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_1_2227,plain,
( join(complement(one),meet(one,converse(complement(one)))) != join(complement(one),meet(one,converse(complement(one))))
| meet(one,converse(complement(one))) != zero
| join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_2228,plain,
( meet(one,converse(complement(one))) != zero
| join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_1_2226,refute_1_2227]) ).
cnf(refute_1_2229,plain,
join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),zero) )],[refute_1_2225,refute_1_2228]) ).
cnf(refute_1_2230,plain,
( join(complement(one),meet(one,converse(complement(one)))) != join(complement(one),zero)
| join(complement(one),zero) != complement(one)
| join(complement(one),meet(one,converse(complement(one)))) = complement(one) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),meet(one,converse(complement(one)))))),bind(Y,$fot(join(complement(one),zero))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_1_2231,plain,
( join(complement(one),zero) != complement(one)
| join(complement(one),meet(one,converse(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),zero)) )],[refute_1_2229,refute_1_2230]) ).
cnf(refute_1_2232,plain,
join(complement(one),meet(one,converse(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),zero),complement(one)) )],[refute_1_1909,refute_1_2231]) ).
cnf(refute_1_2233,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) != complement(one)
| converse(complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),complement(one)) ),[0],$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_1_2234,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),complement(one)) )],[refute_1_2232,refute_1_2233]) ).
cnf(refute_1_2235,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_1_1908,refute_1_2234]) ).
cnf(refute_1_2236,plain,
join(skolemFOFtoCNF_X0_1,converse(complement(one))) = join(skolemFOFtoCNF_X0_1,converse(complement(one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,converse(complement(one))))]]) ).
cnf(refute_1_2237,plain,
( converse(complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0_1,converse(complement(one))) != join(skolemFOFtoCNF_X0_1,converse(complement(one)))
| join(skolemFOFtoCNF_X0_1,converse(complement(one))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(one))),join(skolemFOFtoCNF_X0_1,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_2238,plain,
( converse(complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0_1,converse(complement(one))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(one))),join(skolemFOFtoCNF_X0_1,converse(complement(one)))) )],[refute_1_2236,refute_1_2237]) ).
cnf(refute_1_2239,plain,
join(skolemFOFtoCNF_X0_1,converse(complement(one))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_1_2235,refute_1_2238]) ).
cnf(refute_1_2240,plain,
join(converse(complement(one)),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,converse(complement(one))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(complement(one))))]]) ).
cnf(refute_1_2241,plain,
converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(converse(complement(one)),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X_593,$fot(complement(one)))]]) ).
cnf(refute_1_2242,plain,
( converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(converse(complement(one)),skolemFOFtoCNF_X0_1)
| join(converse(complement(one)),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,converse(complement(one)))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(complement(one))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(converse(complement(one)),skolemFOFtoCNF_X0_1))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,converse(complement(one)))))]]) ).
cnf(refute_1_2243,plain,
( join(converse(complement(one)),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,converse(complement(one)))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(converse(complement(one)),skolemFOFtoCNF_X0_1)) )],[refute_1_2241,refute_1_2242]) ).
cnf(refute_1_2244,plain,
converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(complement(one))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,converse(complement(one)))) )],[refute_1_2240,refute_1_2243]) ).
cnf(refute_1_2245,plain,
( converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,converse(complement(one)))
| join(skolemFOFtoCNF_X0_1,converse(complement(one))) != join(skolemFOFtoCNF_X0_1,complement(one))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,converse(complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_2246,plain,
( join(skolemFOFtoCNF_X0_1,converse(complement(one))) != join(skolemFOFtoCNF_X0_1,complement(one))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,converse(complement(one)))) )],[refute_1_2244,refute_1_2245]) ).
cnf(refute_1_2247,plain,
converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(one))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_2239,refute_1_2246]) ).
cnf(refute_1_2248,plain,
complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2249,plain,
( complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_2250,plain,
( converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2248,refute_1_2249]) ).
cnf(refute_1_2251,plain,
complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_2247,refute_1_2250]) ).
cnf(refute_1_2252,plain,
( complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2253,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_2251,refute_1_2252]) ).
cnf(refute_1_2254,plain,
complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_2253]) ).
cnf(refute_1_2255,plain,
converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2256,plain,
( complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2257,plain,
( complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2255,refute_1_2256]) ).
cnf(refute_1_2258,plain,
converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_2254,refute_1_2257]) ).
cnf(refute_1_2259,plain,
( converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2260,plain,
( converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2258,refute_1_2259]) ).
cnf(refute_1_2261,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_602,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2262,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2263,plain,
( converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2264,plain,
( converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2262,refute_1_2263]) ).
cnf(refute_1_2265,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2258,refute_1_2264]) ).
cnf(refute_1_2266,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2267,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2265,refute_1_2266]) ).
cnf(refute_1_2268,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2261,refute_1_2267]) ).
cnf(refute_1_2269,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2270,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1],$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2271,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2269,refute_1_2270]) ).
cnf(refute_1_2272,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2268,refute_1_2271]) ).
cnf(refute_1_2273,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2274,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2272,refute_1_2273]) ).
cnf(refute_1_2275,plain,
( converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2260,refute_1_2274]) ).
cnf(refute_1_2276,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_1710,refute_1_2275]) ).
cnf(refute_1_2277,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2278,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2276,refute_1_2277]) ).
cnf(refute_1_2279,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,0,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2280,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2278,refute_1_2279]) ).
cnf(refute_1_2281,plain,
converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1441,refute_1_2280]) ).
cnf(refute_1_2282,plain,
join(X0,join(meet(X0,complement(X_753)),X2)) = join(join(X0,meet(X0,complement(X_753))),X2),
inference(subst,[],[refute_1_46:[bind(X1,$fot(meet(X0,complement(X_753))))]]) ).
cnf(refute_1_2283,plain,
X0 = join(X0,meet(X0,complement(X_753))),
inference(subst,[],[refute_1_1317:[bind(X1,$fot(X_753)),bind(X_675,$fot(X0))]]) ).
cnf(refute_1_2284,plain,
( X0 != join(X0,meet(X0,complement(X_753)))
| join(X0,meet(X0,complement(X_753))) = X0 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X0)),bind(Y,$fot(join(X0,meet(X0,complement(X_753)))))]]) ).
cnf(refute_1_2285,plain,
join(X0,meet(X0,complement(X_753))) = X0,
inference(resolve,[$cnf( $equal(X0,join(X0,meet(X0,complement(X_753)))) )],[refute_1_2283,refute_1_2284]) ).
cnf(refute_1_2286,plain,
( join(X0,join(meet(X0,complement(X_753)),X2)) != join(join(X0,meet(X0,complement(X_753))),X2)
| join(X0,meet(X0,complement(X_753))) != X0
| join(X0,join(meet(X0,complement(X_753)),X2)) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,complement(X_753)),X2)),join(join(X0,meet(X0,complement(X_753))),X2)) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_2287,plain,
( join(X0,join(meet(X0,complement(X_753)),X2)) != join(join(X0,meet(X0,complement(X_753))),X2)
| join(X0,join(meet(X0,complement(X_753)),X2)) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,meet(X0,complement(X_753))),X0) )],[refute_1_2285,refute_1_2286]) ).
cnf(refute_1_2288,plain,
join(X0,join(meet(X0,complement(X_753)),X2)) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,complement(X_753)),X2)),join(join(X0,meet(X0,complement(X_753))),X2)) )],[refute_1_2282,refute_1_2287]) ).
cnf(refute_1_2289,plain,
join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_2288:[bind(X0,$fot(one)),bind(X2,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(X_753,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2290,plain,
converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2291,plain,
( converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2292,plain,
( join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2290,refute_1_2291]) ).
cnf(refute_1_2293,plain,
converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2289,refute_1_2292]) ).
cnf(refute_1_2294,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2295,plain,
( converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1441,refute_1_2294]) ).
cnf(refute_1_2296,plain,
converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2293,refute_1_2295]) ).
cnf(refute_1_2297,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2298,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2296,refute_1_2297]) ).
cnf(refute_1_2299,plain,
join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2300,plain,
( converse(one) != one
| join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))),join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_2301,plain,
( converse(one) != one
| join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))),join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2299,refute_1_2300]) ).
cnf(refute_1_2302,plain,
join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(one,meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_2301]) ).
cnf(refute_1_2303,plain,
( join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != join(one,meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(one,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(one))]]) ).
cnf(refute_1_2304,plain,
( join(one,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = one ),
inference(resolve,[$cnf( $equal(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))),join(one,meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2302,refute_1_2303]) ).
cnf(refute_1_2305,plain,
join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(skolemFOFtoCNF_X0_1))),one) )],[refute_1_1324,refute_1_2304]) ).
cnf(refute_1_2306,plain,
converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_593,$fot(one))]]) ).
cnf(refute_1_2307,plain,
( converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(one))]]) ).
cnf(refute_1_2308,plain,
( join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2306,refute_1_2307]) ).
cnf(refute_1_2309,plain,
converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = one,
inference(resolve,[$cnf( $equal(join(converse(one),meet(one,complement(skolemFOFtoCNF_X0_1))),one) )],[refute_1_2305,refute_1_2308]) ).
cnf(refute_1_2310,plain,
( converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != one
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1],$fot(one)]]) ).
cnf(refute_1_2311,plain,
( converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),one) )],[refute_1_2309,refute_1_2310]) ).
cnf(refute_1_2312,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2298,refute_1_2311]) ).
cnf(refute_1_2313,plain,
converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2281,refute_1_2312]) ).
cnf(refute_1_2314,plain,
( converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(X0,converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != one
| converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(X0,converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_2315,plain,
( converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(X0,converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(X0,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),one) )],[refute_1_2313,refute_1_2314]) ).
cnf(refute_1_2316,plain,
converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(X0,one),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(X0,converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1430,refute_1_2315]) ).
cnf(refute_1_2317,plain,
join(one,join(converse(X1),X_729)) = join(join(one,converse(X1)),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(one)),bind(X1,$fot(converse(X1))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_2318,plain,
( join(one,converse(X1)) != converse(join(one,X1))
| join(one,join(converse(X1),X_729)) != join(join(one,converse(X1)),X_729)
| join(one,join(converse(X1),X_729)) = join(converse(join(one,X1)),X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X1),X_729)),join(join(one,converse(X1)),X_729)) ),[1,0],$fot(converse(join(one,X1)))]]) ).
cnf(refute_1_2319,plain,
( join(one,join(converse(X1),X_729)) != join(join(one,converse(X1)),X_729)
| join(one,join(converse(X1),X_729)) = join(converse(join(one,X1)),X_729) ),
inference(resolve,[$cnf( $equal(join(one,converse(X1)),converse(join(one,X1))) )],[refute_1_1436,refute_1_2318]) ).
cnf(refute_1_2320,plain,
join(one,join(converse(X1),X_729)) = join(converse(join(one,X1)),X_729),
inference(resolve,[$cnf( $equal(join(one,join(converse(X1),X_729)),join(join(one,converse(X1)),X_729)) )],[refute_1_2317,refute_1_2319]) ).
cnf(refute_1_2321,plain,
( join(one,join(converse(X1),X_729)) != join(converse(join(one,X1)),X_729)
| join(converse(join(one,X1)),X_729) = join(one,join(converse(X1),X_729)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,join(converse(X1),X_729)))),bind(Y,$fot(join(converse(join(one,X1)),X_729)))]]) ).
cnf(refute_1_2322,plain,
join(converse(join(one,X1)),X_729) = join(one,join(converse(X1),X_729)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X1),X_729)),join(converse(join(one,X1)),X_729)) )],[refute_1_2320,refute_1_2321]) ).
cnf(refute_1_2323,plain,
join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),
inference(subst,[],[refute_1_2322:[bind(X1,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(X_729,$fot(X0))]]) ).
cnf(refute_1_2324,plain,
converse(join(join(X_727,X_728),converse(X0))) = join(converse(join(X_727,X_728)),X0),
inference(subst,[],[refute_1_1541:[bind(X_593,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_2325,plain,
join(X_727,join(X_728,converse(X0))) = join(join(X_727,X_728),converse(X0)),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_1_2326,plain,
( join(X_727,join(X_728,converse(X0))) != join(join(X_727,X_728),converse(X0))
| join(join(X_727,X_728),converse(X0)) = join(X_727,join(X_728,converse(X0))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,converse(X0))))),bind(Y,$fot(join(join(X_727,X_728),converse(X0))))]]) ).
cnf(refute_1_2327,plain,
join(join(X_727,X_728),converse(X0)) = join(X_727,join(X_728,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,converse(X0))),join(join(X_727,X_728),converse(X0))) )],[refute_1_2325,refute_1_2326]) ).
cnf(refute_1_2328,plain,
( converse(join(join(X_727,X_728),converse(X0))) != join(converse(join(X_727,X_728)),X0)
| join(join(X_727,X_728),converse(X0)) != join(X_727,join(X_728,converse(X0)))
| converse(join(X_727,join(X_728,converse(X0)))) = join(converse(join(X_727,X_728)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_727,X_728),converse(X0))),join(converse(join(X_727,X_728)),X0)) ),[0,0],$fot(join(X_727,join(X_728,converse(X0))))]]) ).
cnf(refute_1_2329,plain,
( converse(join(join(X_727,X_728),converse(X0))) != join(converse(join(X_727,X_728)),X0)
| converse(join(X_727,join(X_728,converse(X0)))) = join(converse(join(X_727,X_728)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),converse(X0)),join(X_727,join(X_728,converse(X0)))) )],[refute_1_2327,refute_1_2328]) ).
cnf(refute_1_2330,plain,
converse(join(X_727,join(X_728,converse(X0)))) = join(converse(join(X_727,X_728)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_727,X_728),converse(X0))),join(converse(join(X_727,X_728)),X0)) )],[refute_1_2324,refute_1_2329]) ).
cnf(refute_1_2331,plain,
converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) = join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0),
inference(subst,[],[refute_1_2330:[bind(X_727,$fot(one)),bind(X_728,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2332,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) != join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0)
| join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0) != join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))))),bind(Y,$fot(join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0))),bind(Z,$fot(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))))]]) ).
cnf(refute_1_2333,plain,
( join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0) != join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))),join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0)) )],[refute_1_2331,refute_1_2332]) ).
cnf(refute_1_2334,plain,
converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),
inference(resolve,[$cnf( $equal(join(converse(join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),X0),join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))) )],[refute_1_2323,refute_1_2333]) ).
cnf(refute_1_2335,plain,
converse(join(X_594,join(X_727,X_728))) = converse(join(join(X_727,X_728),X_594)),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_2336,plain,
join(X_727,join(X_728,X_594)) = join(join(X_727,X_728),X_594),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(X_594))]]) ).
cnf(refute_1_2337,plain,
( join(X_727,join(X_728,X_594)) != join(join(X_727,X_728),X_594)
| join(join(X_727,X_728),X_594) = join(X_727,join(X_728,X_594)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,X_594)))),bind(Y,$fot(join(join(X_727,X_728),X_594)))]]) ).
cnf(refute_1_2338,plain,
join(join(X_727,X_728),X_594) = join(X_727,join(X_728,X_594)),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,X_594)),join(join(X_727,X_728),X_594)) )],[refute_1_2336,refute_1_2337]) ).
cnf(refute_1_2339,plain,
( converse(join(X_594,join(X_727,X_728))) != converse(join(join(X_727,X_728),X_594))
| join(join(X_727,X_728),X_594) != join(X_727,join(X_728,X_594))
| converse(join(X_594,join(X_727,X_728))) = converse(join(X_727,join(X_728,X_594))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_594,join(X_727,X_728))),converse(join(join(X_727,X_728),X_594))) ),[1,0],$fot(join(X_727,join(X_728,X_594)))]]) ).
cnf(refute_1_2340,plain,
( converse(join(X_594,join(X_727,X_728))) != converse(join(join(X_727,X_728),X_594))
| converse(join(X_594,join(X_727,X_728))) = converse(join(X_727,join(X_728,X_594))) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),X_594),join(X_727,join(X_728,X_594))) )],[refute_1_2338,refute_1_2339]) ).
cnf(refute_1_2341,plain,
converse(join(X_594,join(X_727,X_728))) = converse(join(X_727,join(X_728,X_594))),
inference(resolve,[$cnf( $equal(converse(join(X_594,join(X_727,X_728))),converse(join(join(X_727,X_728),X_594))) )],[refute_1_2335,refute_1_2340]) ).
cnf(refute_1_2342,plain,
converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))),
inference(subst,[],[refute_1_2341:[bind(X_594,$fot(converse(X0))),bind(X_727,$fot(one)),bind(X_728,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2343,plain,
( converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0))))
| converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) != join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))
| converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))))),bind(Z,$fot(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))))]]) ).
cnf(refute_1_2344,plain,
( converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))) != join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))
| converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0))))) )],[refute_1_2342,refute_1_2343]) ).
cnf(refute_1_2345,plain,
converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(X0)))),join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))) )],[refute_1_2334,refute_1_2344]) ).
cnf(refute_1_2346,plain,
( converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(X0,one)
| converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))
| join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(X0,one)) ),[0],$fot(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)))]]) ).
cnf(refute_1_2347,plain,
( converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(X0,one)
| join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))) )],[refute_1_2345,refute_1_2346]) ).
cnf(refute_1_2348,plain,
join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(X0,one),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(X0,one)) )],[refute_1_2316,refute_1_2347]) ).
cnf(refute_1_2349,plain,
join(zero,X0) = X0,
inference(subst,[],[refute_1_417:[bind(X_675,$fot(X0))]]) ).
cnf(refute_1_2350,plain,
zero = meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_258:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2351,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| zero != meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| zero = meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2352,plain,
( zero != meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| zero = meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1702,refute_1_2351]) ).
cnf(refute_1_2353,plain,
zero = meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(zero,meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2350,refute_1_2352]) ).
cnf(refute_1_2354,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),bind(X_602,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2355,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| zero != meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| zero = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),[1],$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2356,plain,
( zero != meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| zero = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2354,refute_1_2355]) ).
cnf(refute_1_2357,plain,
zero = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(zero,meet(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2353,refute_1_2356]) ).
cnf(refute_1_2358,plain,
meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2359,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_676,$fot(complement(one)))]]) ).
cnf(refute_1_2360,plain,
complement(one) = meet(complement(one),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(complement(one))),bind(X_732,$fot(join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2361,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),bind(X_703,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2362,plain,
join(complement(one),converse(skolemFOFtoCNF_X0_1)) = join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),bind(X_676,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2363,plain,
converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(skolemFOFtoCNF_X0_1)),bind(X_594,$fot(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2364,plain,
top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_749:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2365,plain,
converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = converse(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_594,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2366,plain,
one = join(meet(one,converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(one)),bind(X_676,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2367,plain,
converse(skolemFOFtoCNF_X0_1) = join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_676,$fot(one))]]) ).
cnf(refute_1_2368,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| join(one,complement(converse(skolemFOFtoCNF_X0_1))) != top
| converse(skolemFOFtoCNF_X0_1) = join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_2369,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))
| converse(skolemFOFtoCNF_X0_1) = join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0_1))),top) )],[refute_1_1623,refute_1_2368]) ).
cnf(refute_1_2370,plain,
converse(skolemFOFtoCNF_X0_1) = join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2367,refute_1_2369]) ).
cnf(refute_1_2371,plain,
join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) = meet(one,converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(one,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2372,plain,
meet(converse(skolemFOFtoCNF_X0_1),one) = meet(one,converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2373,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)))]]) ).
cnf(refute_1_2374,plain,
( join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) != join(zero,meet(converse(skolemFOFtoCNF_X0_1),one))
| meet(converse(skolemFOFtoCNF_X0_1),one) != meet(one,converse(skolemFOFtoCNF_X0_1))
| join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)),join(zero,meet(converse(skolemFOFtoCNF_X0_1),one))) ),[1,1],$fot(meet(one,converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2375,plain,
( meet(converse(skolemFOFtoCNF_X0_1),one) != meet(one,converse(skolemFOFtoCNF_X0_1))
| join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)),join(zero,meet(converse(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2373,refute_1_2374]) ).
cnf(refute_1_2376,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),one),meet(one,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2372,refute_1_2375]) ).
cnf(refute_1_2377,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)))]]) ).
cnf(refute_1_2378,plain,
( complement(top) != zero
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) != join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2379,plain,
( complement(top) != zero
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2377,refute_1_2378]) ).
cnf(refute_1_2380,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2379]) ).
cnf(refute_1_2381,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) != join(zero,meet(converse(skolemFOFtoCNF_X0_1),one))
| join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) != join(zero,meet(one,converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)))),bind(Y,$fot(join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)))),bind(Z,$fot(join(zero,meet(one,converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2382,plain,
( join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)) != join(zero,meet(one,converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),join(zero,meet(converse(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2380,refute_1_2381]) ).
cnf(refute_1_2383,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0_1),one)),join(zero,meet(one,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2376,refute_1_2382]) ).
cnf(refute_1_2384,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) != join(zero,meet(one,converse(skolemFOFtoCNF_X0_1)))
| join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) != meet(one,converse(skolemFOFtoCNF_X0_1))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = meet(one,converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)))),bind(Y,$fot(join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(one,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2385,plain,
( join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))) != meet(one,converse(skolemFOFtoCNF_X0_1))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = meet(one,converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),join(zero,meet(one,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2383,refute_1_2384]) ).
cnf(refute_1_2386,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) = meet(one,converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(zero,meet(one,converse(skolemFOFtoCNF_X0_1))),meet(one,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2371,refute_1_2385]) ).
cnf(refute_1_2387,plain,
join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) = join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(converse(skolemFOFtoCNF_X0_1),one)))]]) ).
cnf(refute_1_2388,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) != meet(one,converse(skolemFOFtoCNF_X0_1))
| join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) != join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one))
| join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) = meet(one,converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)))),bind(Z,$fot(meet(one,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2389,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)) != meet(one,converse(skolemFOFtoCNF_X0_1))
| join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) = meet(one,converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)),join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2387,refute_1_2388]) ).
cnf(refute_1_2390,plain,
join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) = meet(one,converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0_1),one)),meet(one,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2386,refute_1_2389]) ).
cnf(refute_1_2391,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top))
| join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)) != meet(one,converse(skolemFOFtoCNF_X0_1))
| converse(skolemFOFtoCNF_X0_1) = meet(one,converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0_1),meet(one,converse(skolemFOFtoCNF_X0_1))) ),[0],$fot(join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)))]]) ).
cnf(refute_1_2392,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top))
| converse(skolemFOFtoCNF_X0_1) = meet(one,converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top)),meet(one,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2390,refute_1_2391]) ).
cnf(refute_1_2393,plain,
converse(skolemFOFtoCNF_X0_1) = meet(one,converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(converse(skolemFOFtoCNF_X0_1),one),complement(top))) )],[refute_1_2370,refute_1_2392]) ).
cnf(refute_1_2394,plain,
( converse(skolemFOFtoCNF_X0_1) != meet(one,converse(skolemFOFtoCNF_X0_1))
| meet(one,converse(skolemFOFtoCNF_X0_1)) = converse(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(one,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2395,plain,
meet(one,converse(skolemFOFtoCNF_X0_1)) = converse(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),meet(one,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2393,refute_1_2394]) ).
cnf(refute_1_2396,plain,
( meet(one,converse(skolemFOFtoCNF_X0_1)) != converse(skolemFOFtoCNF_X0_1)
| one != join(meet(one,converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_2397,plain,
( one != join(meet(one,converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_2395,refute_1_2396]) ).
cnf(refute_1_2398,plain,
one = join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))) )],[refute_1_2366,refute_1_2397]) ).
cnf(refute_1_2399,plain,
complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) = complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),
introduced(tautology,[refl,[$fot(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))]]) ).
cnf(refute_1_2400,plain,
( complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) != complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))
| join(converse(skolemFOFtoCNF_X0_1),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2401,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_2399,refute_1_2400]) ).
cnf(refute_1_2402,plain,
complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) = complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(one)),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1679,refute_1_2401]) ).
cnf(refute_1_2403,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))))]]) ).
cnf(refute_1_2404,plain,
( complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) != complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))) ),[1,1],$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2405,plain,
( complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))) != complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))) )],[refute_1_2403,refute_1_2404]) ).
cnf(refute_1_2406,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2402,refute_1_2405]) ).
cnf(refute_1_2407,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| one != join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))) ),[1],$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2408,plain,
( one != join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))
| one = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2406,refute_1_2407]) ).
cnf(refute_1_2409,plain,
one = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0_1),complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))))) )],[refute_1_2398,refute_1_2408]) ).
cnf(refute_1_2410,plain,
( one != join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2411,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2409,refute_1_2410]) ).
cnf(refute_1_2412,plain,
( converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != converse(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != one
| converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),converse(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_2413,plain,
( converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != converse(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),one) )],[refute_1_2411,refute_1_2412]) ).
cnf(refute_1_2414,plain,
converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),converse(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2365,refute_1_2413]) ).
cnf(refute_1_2415,plain,
join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2416,plain,
converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X_593,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2417,plain,
( converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)
| join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2418,plain,
( join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) )],[refute_1_2416,refute_1_2417]) ).
cnf(refute_1_2419,plain,
converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2415,refute_1_2418]) ).
cnf(refute_1_2420,plain,
( converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != converse(one)
| converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),converse(one)) ),[0],$fot(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2421,plain,
( converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != converse(one)
| join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2419,refute_1_2420]) ).
cnf(refute_1_2422,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(one)
| join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_1_2423,plain,
( join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(one)
| join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_2422]) ).
cnf(refute_1_2424,plain,
( converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != converse(one)
| join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(one)) )],[refute_1_2421,refute_1_2423]) ).
cnf(refute_1_2425,plain,
join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = one,
inference(resolve,[$cnf( $equal(converse(join(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),converse(one)) )],[refute_1_2414,refute_1_2424]) ).
cnf(refute_1_2426,plain,
( join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != one
| top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))
| top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_1_2427,plain,
( top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))
| top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),one) )],[refute_1_2425,refute_1_2426]) ).
cnf(refute_1_2428,plain,
top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_2364,refute_1_2427]) ).
cnf(refute_1_2429,plain,
join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(X_737,$fot(complement(one)))]]) ).
cnf(refute_1_2430,plain,
( join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one)))
| top = join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one)))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2431,plain,
( top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one)))
| top = join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one))),join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2429,refute_1_2430]) ).
cnf(refute_1_2432,plain,
top = join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(one)))) )],[refute_1_2428,refute_1_2431]) ).
cnf(refute_1_2433,plain,
( top != join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2434,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2432,refute_1_2433]) ).
cnf(refute_1_2435,plain,
( converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != top
| converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_2436,plain,
( converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),top) )],[refute_1_2434,refute_1_2435]) ).
cnf(refute_1_2437,plain,
converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2363,refute_1_2436]) ).
cnf(refute_1_2438,plain,
converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_2330:[bind(X0,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(complement(one)))]]) ).
cnf(refute_1_2439,plain,
( converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))),bind(Z,$fot(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2440,plain,
( converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2363,refute_1_2439]) ).
cnf(refute_1_2441,plain,
converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2438,refute_1_2440]) ).
cnf(refute_1_2442,plain,
( converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(top)
| converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(top)) ),[0],$fot(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2443,plain,
( converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2441,refute_1_2442]) ).
cnf(refute_1_2444,plain,
( converse(top) != top
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_1_2445,plain,
( join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_2444]) ).
cnf(refute_1_2446,plain,
( converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(top)) )],[refute_1_2443,refute_1_2445]) ).
cnf(refute_1_2447,plain,
join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(top)) )],[refute_1_2437,refute_1_2446]) ).
cnf(refute_1_2448,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != top
| join(complement(one),converse(skolemFOFtoCNF_X0_1)) = join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_2449,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),converse(skolemFOFtoCNF_X0_1)) = join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_2447,refute_1_2448]) ).
cnf(refute_1_2450,plain,
join(complement(one),converse(skolemFOFtoCNF_X0_1)) = join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2362,refute_1_2449]) ).
cnf(refute_1_2451,plain,
join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2452,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_602,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2453,plain,
join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2454,plain,
( join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,1],$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2455,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2453,refute_1_2454]) ).
cnf(refute_1_2456,plain,
join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2452,refute_1_2455]) ).
cnf(refute_1_2457,plain,
join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2458,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2459,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2457,refute_1_2458]) ).
cnf(refute_1_2460,plain,
join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2459]) ).
cnf(refute_1_2461,plain,
( join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Y,$fot(join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Z,$fot(join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2462,plain,
( join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2460,refute_1_2461]) ).
cnf(refute_1_2463,plain,
join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2456,refute_1_2462]) ).
cnf(refute_1_2464,plain,
( join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Y,$fot(join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2465,plain,
( join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2463,refute_1_2464]) ).
cnf(refute_1_2466,plain,
join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2451,refute_1_2465]) ).
cnf(refute_1_2467,plain,
join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) = join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2468,plain,
( join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) != join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Z,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2469,plain,
( join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)),join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2467,refute_1_2468]) ).
cnf(refute_1_2470,plain,
join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2466,refute_1_2469]) ).
cnf(refute_1_2471,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(complement(one),converse(skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)))]]) ).
cnf(refute_1_2472,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top))
| join(complement(one),converse(skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2470,refute_1_2471]) ).
cnf(refute_1_2473,plain,
join(complement(one),converse(skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(top))) )],[refute_1_2450,refute_1_2472]) ).
cnf(refute_1_2474,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2475,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2473,refute_1_2474]) ).
cnf(refute_1_2476,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2477,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2475,refute_1_2476]) ).
cnf(refute_1_2478,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2361,refute_1_2477]) ).
cnf(refute_1_2479,plain,
meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_602,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2480,plain,
join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2481,plain,
( join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,1],$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2482,plain,
( meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2480,refute_1_2481]) ).
cnf(refute_1_2483,plain,
join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2479,refute_1_2482]) ).
cnf(refute_1_2484,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2485,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2486,plain,
( join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2484,refute_1_2485]) ).
cnf(refute_1_2487,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2483,refute_1_2486]) ).
cnf(refute_1_2488,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X2,$fot(meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2489,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2490,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2488,refute_1_2489]) ).
cnf(refute_1_2491,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2487,refute_1_2490]) ).
cnf(refute_1_2492,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[0],$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2493,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2491,refute_1_2492]) ).
cnf(refute_1_2494,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2478,refute_1_2493]) ).
cnf(refute_1_2495,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2496,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2494,refute_1_2495]) ).
cnf(refute_1_2497,plain,
( complement(one) != meet(complement(one),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| complement(one) = meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_2498,plain,
( complement(one) != meet(complement(one),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| complement(one) = meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_2496,refute_1_2497]) ).
cnf(refute_1_2499,plain,
complement(one) = meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2360,refute_1_2498]) ).
cnf(refute_1_2500,plain,
( complement(one) != meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2501,plain,
meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2499,refute_1_2500]) ).
cnf(refute_1_2502,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))
| meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != complement(one)
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_2503,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) )],[refute_1_2501,refute_1_2502]) ).
cnf(refute_1_2504,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))) )],[refute_1_2359,refute_1_2503]) ).
cnf(refute_1_2505,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2506,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),
introduced(tautology,[refl,[$fot(complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)))]]) ).
cnf(refute_1_2507,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) != complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one) != meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))) ),[1,0],$fot(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2508,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one) != meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))) )],[refute_1_2506,refute_1_2507]) ).
cnf(refute_1_2509,plain,
complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2505,refute_1_2508]) ).
cnf(refute_1_2510,plain,
join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) = complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X1,$fot(one))]]) ).
cnf(refute_1_2511,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) != complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) != complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),bind(Y,$fot(complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)))),bind(Z,$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2512,plain,
( complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) != complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)),complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))) )],[refute_1_2510,refute_1_2511]) ).
cnf(refute_1_2513,plain,
join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2509,refute_1_2512]) ).
cnf(refute_1_2514,plain,
meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) = meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))]]) ).
cnf(refute_1_2515,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) != complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) != meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))
| meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) = meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))),meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) ),[1,1],$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2516,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) != complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) = meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))),meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) )],[refute_1_2514,refute_1_2515]) ).
cnf(refute_1_2517,plain,
meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) = meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)),complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2513,refute_1_2516]) ).
cnf(refute_1_2518,plain,
complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))))]]) ).
cnf(refute_1_2519,plain,
( complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) != complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))
| meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) != meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))) ),[1,0],$fot(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2520,plain,
( meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))) != meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))) )],[refute_1_2518,refute_1_2519]) ).
cnf(refute_1_2521,plain,
complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2517,refute_1_2520]) ).
cnf(refute_1_2522,plain,
join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))]]) ).
cnf(refute_1_2523,plain,
( complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) != complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) != complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))
| join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))))),bind(Y,$fot(complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))))),bind(Z,$fot(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))]]) ).
cnf(refute_1_2524,plain,
( complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) != complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))) )],[refute_1_2522,refute_1_2523]) ).
cnf(refute_1_2525,plain,
join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2521,refute_1_2524]) ).
cnf(refute_1_2526,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))
| join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))) != complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[0],$fot(join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))))]]) ).
cnf(refute_1_2527,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)))),complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2525,refute_1_2526]) ).
cnf(refute_1_2528,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),complement(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one))))) )],[refute_1_2504,refute_1_2527]) ).
cnf(refute_1_2529,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))]]) ).
cnf(refute_1_2530,plain,
complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2528,refute_1_2529]) ).
cnf(refute_1_2531,plain,
( complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_2532,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_2530,refute_1_2531]) ).
cnf(refute_1_2533,plain,
meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) )],[refute_1_2358,refute_1_2532]) ).
cnf(refute_1_2534,plain,
converse(skolemFOFtoCNF_X0_1) = join(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(X_703,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2535,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(X_676,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2536,plain,
converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(skolemFOFtoCNF_X0_1)),bind(X_594,$fot(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2537,plain,
top = join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728))))),
inference(subst,[],[refute_1_499:[bind(X_628,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_2538,plain,
join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))) = join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728))))),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(converse(complement(converse(join(X_727,X_728))))))]]) ).
cnf(refute_1_2539,plain,
( join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))) != join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))
| join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728))))) = join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))))),bind(Y,$fot(join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))))]]) ).
cnf(refute_1_2540,plain,
join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728))))) = join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))),join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))) )],[refute_1_2538,refute_1_2539]) ).
cnf(refute_1_2541,plain,
( join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728))))) != join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728))))))
| top != join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))
| top = join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))) ),[1],$fot(join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))))]]) ).
cnf(refute_1_2542,plain,
( top != join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))
| top = join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728))))),join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728))))))) )],[refute_1_2540,refute_1_2541]) ).
cnf(refute_1_2543,plain,
top = join(X_727,join(X_728,converse(complement(converse(join(X_727,X_728)))))),
inference(resolve,[$cnf( $equal(top,join(join(X_727,X_728),converse(complement(converse(join(X_727,X_728)))))) )],[refute_1_2537,refute_1_2542]) ).
cnf(refute_1_2544,plain,
top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))))),
inference(subst,[],[refute_1_2543:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2545,plain,
( join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != one
| top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))))
| top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_1_2546,plain,
( top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))))
| top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),one) )],[refute_1_2425,refute_1_2545]) ).
cnf(refute_1_2547,plain,
top = join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(join(skolemFOFtoCNF_X0_1,converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_2544,refute_1_2546]) ).
cnf(refute_1_2548,plain,
meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2549,plain,
( converse(one) != one
| meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_2550,plain,
( converse(one) != one
| meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2548,refute_1_2549]) ).
cnf(refute_1_2551,plain,
meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_2550]) ).
cnf(refute_1_2552,plain,
complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2553,plain,
( complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2554,plain,
( meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2552,refute_1_2553]) ).
cnf(refute_1_2555,plain,
complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2551,refute_1_2554]) ).
cnf(refute_1_2556,plain,
join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(converse(one))),bind(X1,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2557,plain,
( complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2558,plain,
( complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2556,refute_1_2557]) ).
cnf(refute_1_2559,plain,
join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(one),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2555,refute_1_2558]) ).
cnf(refute_1_2560,plain,
converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2561,plain,
( converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2562,plain,
( join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2560,refute_1_2561]) ).
cnf(refute_1_2563,plain,
converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2559,refute_1_2562]) ).
cnf(refute_1_2564,plain,
join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1047:[bind(X0,$fot(complement(converse(one)))),bind(X1,$fot(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2565,plain,
( converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2566,plain,
( converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2564,refute_1_2565]) ).
cnf(refute_1_2567,plain,
join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(one)),complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2563,refute_1_2566]) ).
cnf(refute_1_2568,plain,
join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2569,plain,
( join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2570,plain,
( join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2568,refute_1_2569]) ).
cnf(refute_1_2571,plain,
join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2567,refute_1_2570]) ).
cnf(refute_1_2572,plain,
join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) = join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(X_737,$fot(converse(complement(converse(one)))))]]) ).
cnf(refute_1_2573,plain,
( join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) != join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2574,plain,
( join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))),join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2572,refute_1_2573]) ).
cnf(refute_1_2575,plain,
join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(converse(complement(converse(one))),converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2571,refute_1_2574]) ).
cnf(refute_1_2576,plain,
( join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))) != join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one)))))
| top = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one)))))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2577,plain,
( top != join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one)))))
| top = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one))))),join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2575,refute_1_2576]) ).
cnf(refute_1_2578,plain,
top = join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(converse(complement(join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(complement(converse(one)))))) )],[refute_1_2547,refute_1_2577]) ).
cnf(refute_1_2579,plain,
( top != join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_2580,plain,
join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2578,refute_1_2579]) ).
cnf(refute_1_2581,plain,
( converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != top
| converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_2582,plain,
( converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),top) )],[refute_1_2580,refute_1_2581]) ).
cnf(refute_1_2583,plain,
converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2536,refute_1_2582]) ).
cnf(refute_1_2584,plain,
join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X1,$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2585,plain,
converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_194:[bind(X0,$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(X_594,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_2586,plain,
( converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))
| join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2587,plain,
( join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2585,refute_1_2586]) ).
cnf(refute_1_2588,plain,
converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2584,refute_1_2587]) ).
cnf(refute_1_2589,plain,
( converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(top)
| converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(top)) ),[0],$fot(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2590,plain,
( converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(top)
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2588,refute_1_2589]) ).
cnf(refute_1_2591,plain,
( converse(top) != top
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(top)
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_1_2592,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != converse(top)
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_2591]) ).
cnf(refute_1_2593,plain,
( converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)) != converse(top)
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),converse(top)) )],[refute_1_2590,refute_1_2592]) ).
cnf(refute_1_2594,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1)),converse(top)) )],[refute_1_2583,refute_1_2593]) ).
cnf(refute_1_2595,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != top
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_2596,plain,
( meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_2594,refute_1_2595]) ).
cnf(refute_1_2597,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(join(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_2535,refute_1_2596]) ).
cnf(refute_1_2598,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2599,plain,
meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2600,plain,
join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2601,plain,
( join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))
| meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2602,plain,
( meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2600,refute_1_2601]) ).
cnf(refute_1_2603,plain,
join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2599,refute_1_2602]) ).
cnf(refute_1_2604,plain,
join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2605,plain,
( complement(top) != zero
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2606,plain,
( complement(top) != zero
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2604,refute_1_2605]) ).
cnf(refute_1_2607,plain,
join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2606]) ).
cnf(refute_1_2608,plain,
( join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))
| join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2609,plain,
( join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2607,refute_1_2608]) ).
cnf(refute_1_2610,plain,
join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2603,refute_1_2609]) ).
cnf(refute_1_2611,plain,
( join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2612,plain,
( join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2610,refute_1_2611]) ).
cnf(refute_1_2613,plain,
join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2598,refute_1_2612]) ).
cnf(refute_1_2614,plain,
join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) = join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2615,plain,
( join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) != join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))
| join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2616,plain,
( join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)),join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2614,refute_1_2615]) ).
cnf(refute_1_2617,plain,
join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2613,refute_1_2616]) ).
cnf(refute_1_2618,plain,
( join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top))) ),[1],$fot(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2619,plain,
( meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top)),meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2617,refute_1_2618]) ).
cnf(refute_1_2620,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(meet(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),complement(top))) )],[refute_1_2597,refute_1_2619]) ).
cnf(refute_1_2621,plain,
( meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2622,plain,
meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2620,refute_1_2621]) ).
cnf(refute_1_2623,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))
| meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2624,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2622,refute_1_2623]) ).
cnf(refute_1_2625,plain,
converse(skolemFOFtoCNF_X0_1) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2534,refute_1_2624]) ).
cnf(refute_1_2626,plain,
meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)) = meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2627,plain,
join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2628,plain,
( join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))
| meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)) != meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2629,plain,
( meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)) != meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2627,refute_1_2628]) ).
cnf(refute_1_2630,plain,
join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2626,refute_1_2629]) ).
cnf(refute_1_2631,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(skolemFOFtoCNF_X0_1) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0_1),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[0],$fot(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2632,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1))),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2630,refute_1_2631]) ).
cnf(refute_1_2633,plain,
converse(skolemFOFtoCNF_X0_1) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2625,refute_1_2632]) ).
cnf(refute_1_2634,plain,
join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1534:[bind(X1,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2635,plain,
meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))) = zero,
inference(subst,[],[refute_1_260:[bind(X0,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2636,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_713,$fot(complement(one)))]]) ).
cnf(refute_1_2637,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))) != complement(one)
| complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_2638,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))
| complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))),complement(one)) )],[refute_1_1647,refute_1_2637]) ).
cnf(refute_1_2639,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2636,refute_1_2638]) ).
cnf(refute_1_2640,plain,
meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) = meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))))]]) ).
cnf(refute_1_2641,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) != meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one)))
| meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one)))) ),[1,1],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2642,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_2640,refute_1_2641]) ).
cnf(refute_1_2643,plain,
meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(one)),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1679,refute_1_2642]) ).
cnf(refute_1_2644,plain,
meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) = meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(one))))]]) ).
cnf(refute_1_2645,plain,
( meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) != meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one)))
| meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one))),bind(Y,$fot(meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))))),bind(Z,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2646,plain,
( meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one),meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one)))) )],[refute_1_2644,refute_1_2645]) ).
cnf(refute_1_2647,plain,
meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,join(converse(skolemFOFtoCNF_X0_1),complement(one))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2643,refute_1_2646]) ).
cnf(refute_1_2648,plain,
complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) = complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)),
introduced(tautology,[refl,[$fot(complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)))]]) ).
cnf(refute_1_2649,plain,
( complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) != complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one))
| meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)),complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one))) ),[1,0],$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2650,plain,
( meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)),complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one))) )],[refute_1_2648,refute_1_2649]) ).
cnf(refute_1_2651,plain,
complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2647,refute_1_2650]) ).
cnf(refute_1_2652,plain,
join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) = complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(one)))),bind(X1,$fot(one))]]) ).
cnf(refute_1_2653,plain,
( complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) != complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one))
| join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)))),bind(Y,$fot(complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)))),bind(Z,$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2654,plain,
( complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)),complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one))) )],[refute_1_2652,refute_1_2653]) ).
cnf(refute_1_2655,plain,
join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(meet(join(converse(skolemFOFtoCNF_X0_1),complement(one)),one)),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2651,refute_1_2654]) ).
cnf(refute_1_2656,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one))
| join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| complement(converse(skolemFOFtoCNF_X0_1)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0_1)),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)))]]) ).
cnf(refute_1_2657,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one))
| complement(converse(skolemFOFtoCNF_X0_1)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one)),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2655,refute_1_2656]) ).
cnf(refute_1_2658,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(complement(join(converse(skolemFOFtoCNF_X0_1),complement(one))),complement(one))) )],[refute_1_2639,refute_1_2657]) ).
cnf(refute_1_2659,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2660,plain,
complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2658,refute_1_2659]) ).
cnf(refute_1_2661,plain,
meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2662,plain,
( complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(converse(skolemFOFtoCNF_X0_1))
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2663,plain,
( complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != complement(converse(skolemFOFtoCNF_X0_1))
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2661,refute_1_2662]) ).
cnf(refute_1_2664,plain,
meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2660,refute_1_2663]) ).
cnf(refute_1_2665,plain,
( meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))) != zero
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1)))
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_2666,plain,
( meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))) != zero
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2664,refute_1_2665]) ).
cnf(refute_1_2667,plain,
meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),complement(converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_2635,refute_1_2666]) ).
cnf(refute_1_2668,plain,
join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2669,plain,
( join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != zero
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_2670,plain,
( meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))) != zero
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero) ),
inference(resolve,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2668,refute_1_2669]) ).
cnf(refute_1_2671,plain,
join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))),zero) )],[refute_1_2667,refute_1_2670]) ).
cnf(refute_1_2672,plain,
( join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero)
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero))),bind(Z,$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2673,plain,
( join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero)) )],[refute_1_2671,refute_1_2672]) ).
cnf(refute_1_2674,plain,
join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2634,refute_1_2673]) ).
cnf(refute_1_2675,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_2676,plain,
( converse(skolemFOFtoCNF_X0_1) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))
| converse(skolemFOFtoCNF_X0_1) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2674,refute_1_2675]) ).
cnf(refute_1_2677,plain,
converse(skolemFOFtoCNF_X0_1) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(skolemFOFtoCNF_X0_1),complement(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_2633,refute_1_2676]) ).
cnf(refute_1_2678,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_676,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2679,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2680,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2475,refute_1_2679]) ).
cnf(refute_1_2681,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2678,refute_1_2680]) ).
cnf(refute_1_2682,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X2,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2683,plain,
complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2684,plain,
( complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2685,plain,
( join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2683,refute_1_2684]) ).
cnf(refute_1_2686,plain,
complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2682,refute_1_2685]) ).
cnf(refute_1_2687,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2688,plain,
( complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[1,1],$fot(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2689,plain,
( complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2687,refute_1_2688]) ).
cnf(refute_1_2690,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2686,refute_1_2689]) ).
cnf(refute_1_2691,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))]]) ).
cnf(refute_1_2692,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))]]) ).
cnf(refute_1_2693,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) )],[refute_1_2691,refute_1_2692]) ).
cnf(refute_1_2694,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) )],[refute_1_2690,refute_1_2693]) ).
cnf(refute_1_2695,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X2,$fot(complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2696,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))))]]) ).
cnf(refute_1_2697,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) )],[refute_1_2695,refute_1_2696]) ).
cnf(refute_1_2698,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))) )],[refute_1_2694,refute_1_2697]) ).
cnf(refute_1_2699,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))) ),[0],$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2700,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))) )],[refute_1_2698,refute_1_2699]) ).
cnf(refute_1_2701,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(join(join(complement(one),converse(skolemFOFtoCNF_X0_1)),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2681,refute_1_2700]) ).
cnf(refute_1_2702,plain,
join(zero,converse(skolemFOFtoCNF_X0_1)) = converse(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2703,plain,
join(converse(skolemFOFtoCNF_X0_1),zero) = join(zero,converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(zero)),bind(X_735,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2704,plain,
( join(converse(skolemFOFtoCNF_X0_1),zero) != join(zero,converse(skolemFOFtoCNF_X0_1))
| join(zero,converse(skolemFOFtoCNF_X0_1)) != converse(skolemFOFtoCNF_X0_1)
| join(converse(skolemFOFtoCNF_X0_1),zero) = converse(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0_1),zero))),bind(Y,$fot(join(zero,converse(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2705,plain,
( join(zero,converse(skolemFOFtoCNF_X0_1)) != converse(skolemFOFtoCNF_X0_1)
| join(converse(skolemFOFtoCNF_X0_1),zero) = converse(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),zero),join(zero,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_2703,refute_1_2704]) ).
cnf(refute_1_2706,plain,
join(converse(skolemFOFtoCNF_X0_1),zero) = converse(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(zero,converse(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_2702,refute_1_2705]) ).
cnf(refute_1_2707,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_1_140:[bind(X0,$fot(one))]]) ).
cnf(refute_1_2708,plain,
join(X_887,one) = join(meet(skolemFOFtoCNF_X0_1,join(X_887,one)),complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(join(X_887,one))),bind(X_711,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_2709,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_732,$fot(join(X_883,join(one,X_884))))]]) ).
cnf(refute_1_2710,plain,
join(X0,join(one,join(skolemFOFtoCNF_X0_1,X_730))) = join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)),
inference(subst,[],[refute_1_46:[bind(X1,$fot(one)),bind(X2,$fot(join(skolemFOFtoCNF_X0_1,X_730)))]]) ).
cnf(refute_1_2711,plain,
join(one,join(skolemFOFtoCNF_X0_1,X_730)) = join(one,X_730),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(X_730))]]) ).
cnf(refute_1_2712,plain,
( join(X0,join(one,join(skolemFOFtoCNF_X0_1,X_730))) != join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))
| join(one,join(skolemFOFtoCNF_X0_1,X_730)) != join(one,X_730)
| join(X0,join(one,X_730)) = join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(skolemFOFtoCNF_X0_1,X_730))),join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))) ),[0,1],$fot(join(one,X_730))]]) ).
cnf(refute_1_2713,plain,
( join(X0,join(one,join(skolemFOFtoCNF_X0_1,X_730))) != join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))
| join(X0,join(one,X_730)) = join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,X_730)),join(one,X_730)) )],[refute_1_2711,refute_1_2712]) ).
cnf(refute_1_2714,plain,
join(X0,join(one,X_730)) = join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(skolemFOFtoCNF_X0_1,X_730))),join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))) )],[refute_1_2710,refute_1_2713]) ).
cnf(refute_1_2715,plain,
join(join(X0,one),X_730) = join(X0,join(one,X_730)),
inference(subst,[],[refute_1_62:[bind(X1,$fot(one)),bind(X2,$fot(X_730))]]) ).
cnf(refute_1_2716,plain,
join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) = join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)))]]) ).
cnf(refute_1_2717,plain,
( join(join(X0,one),X_730) != join(X0,join(one,X_730))
| join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) != join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730))
| join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)),join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730))) ),[1,1],$fot(join(X0,join(one,X_730)))]]) ).
cnf(refute_1_2718,plain,
( join(join(X0,one),X_730) != join(X0,join(one,X_730))
| join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)),join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730))) )],[refute_1_2716,refute_1_2717]) ).
cnf(refute_1_2719,plain,
join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))),
inference(resolve,[$cnf( $equal(join(join(X0,one),X_730),join(X0,join(one,X_730))) )],[refute_1_2715,refute_1_2718]) ).
cnf(refute_1_2720,plain,
join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) = join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(join(X0,one))),bind(X_729,$fot(X_730))]]) ).
cnf(refute_1_2721,plain,
( join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) != join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730))
| join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) != join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))
| join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))))]]) ).
cnf(refute_1_2722,plain,
( join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)) != join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))
| join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)),join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730))) )],[refute_1_2720,refute_1_2721]) ).
cnf(refute_1_2723,plain,
join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(X0,one),X_730)),join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))) )],[refute_1_2719,refute_1_2722]) ).
cnf(refute_1_2724,plain,
( join(X0,join(one,X_730)) != join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))
| join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)) != join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))
| join(X0,join(one,X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(one,X_730)),join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))) ),[0],$fot(join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)))]]) ).
cnf(refute_1_2725,plain,
( join(X0,join(one,X_730)) != join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))
| join(X0,join(one,X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730)),join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))) )],[refute_1_2723,refute_1_2724]) ).
cnf(refute_1_2726,plain,
join(X0,join(one,X_730)) = join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))),
inference(resolve,[$cnf( $equal(join(X0,join(one,X_730)),join(join(X0,one),join(skolemFOFtoCNF_X0_1,X_730))) )],[refute_1_2714,refute_1_2725]) ).
cnf(refute_1_2727,plain,
join(X_883,join(one,X_884)) = join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))),
inference(subst,[],[refute_1_2726:[bind(X0,$fot(X_883)),bind(X_730,$fot(X_884))]]) ).
cnf(refute_1_2728,plain,
( join(X_883,join(one,X_884)) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) = join(X_883,join(one,X_884)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_883,join(one,X_884)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))))]]) ).
cnf(refute_1_2729,plain,
join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) = join(X_883,join(one,X_884)),
inference(resolve,[$cnf( $equal(join(X_883,join(one,X_884)),join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))) )],[refute_1_2727,refute_1_2728]) ).
cnf(refute_1_2730,plain,
( join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) != join(X_883,join(one,X_884))
| skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))))) ),[1,1],$fot(join(X_883,join(one,X_884)))]]) ).
cnf(refute_1_2731,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))),join(X_883,join(one,X_884))) )],[refute_1_2729,refute_1_2730]) ).
cnf(refute_1_2732,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))))) )],[refute_1_2709,refute_1_2731]) ).
cnf(refute_1_2733,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_885,join(one,complement(join(X_676,complement(one)))))),
inference(subst,[],[refute_1_2732:[bind(X_883,$fot(X_885)),bind(X_884,$fot(complement(join(X_676,complement(one)))))]]) ).
cnf(refute_1_2734,plain,
join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) = join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(meet(X_675,X_676))),bind(X_729,$fot(complement(join(X_676,complement(X_675)))))]]) ).
cnf(refute_1_2735,plain,
( X_675 != join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))
| join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))))]]) ).
cnf(refute_1_2736,plain,
join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) = X_675,
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) )],[refute_1_472,refute_1_2735]) ).
cnf(refute_1_2737,plain,
( join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) != X_675
| join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) != join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))
| X_675 = join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))) ),[0],$fot(X_675)]]) ).
cnf(refute_1_2738,plain,
( join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) != join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))
| X_675 = join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_675) )],[refute_1_2736,refute_1_2737]) ).
cnf(refute_1_2739,plain,
X_675 = join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))),
inference(resolve,[$cnf( $equal(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))) )],[refute_1_2734,refute_1_2738]) ).
cnf(refute_1_2740,plain,
join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)) = join(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(meet(X_675,X_676))),bind(X1,$fot(complement(join(X_676,complement(X_675))))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_2741,plain,
( join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))) != X_675
| join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)) != join(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_729)
| join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)) = join(X_675,X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)),join(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_729)) ),[1,0],$fot(X_675)]]) ).
cnf(refute_1_2742,plain,
( join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)) != join(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_729)
| join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)) = join(X_675,X_729) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_675) )],[refute_1_2736,refute_1_2741]) ).
cnf(refute_1_2743,plain,
join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)) = join(X_675,X_729),
inference(resolve,[$cnf( $equal(join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),X_729)),join(join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))),X_729)) )],[refute_1_2740,refute_1_2742]) ).
cnf(refute_1_2744,plain,
join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675))))) = join(X_675,complement(join(X_676,complement(X_675)))),
inference(subst,[],[refute_1_2743:[bind(X_729,$fot(complement(join(X_676,complement(X_675)))))]]) ).
cnf(refute_1_2745,plain,
join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) = join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675))))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(meet(X_675,X_676))),bind(X_728,$fot(complement(join(X_676,complement(X_675))))),bind(X_729,$fot(complement(join(X_676,complement(X_675)))))]]) ).
cnf(refute_1_2746,plain,
( join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) != join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675)))))
| join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675))))) != join(X_675,complement(join(X_676,complement(X_675))))
| join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) = join(X_675,complement(join(X_676,complement(X_675)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))))),bind(Y,$fot(join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675))))))),bind(Z,$fot(join(X_675,complement(join(X_676,complement(X_675))))))]]) ).
cnf(refute_1_2747,plain,
( join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675))))) != join(X_675,complement(join(X_676,complement(X_675))))
| join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) = join(X_675,complement(join(X_676,complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))),join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675)))))) )],[refute_1_2745,refute_1_2746]) ).
cnf(refute_1_2748,plain,
join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) = join(X_675,complement(join(X_676,complement(X_675)))),
inference(resolve,[$cnf( $equal(join(meet(X_675,X_676),join(complement(join(X_676,complement(X_675))),complement(join(X_676,complement(X_675))))),join(X_675,complement(join(X_676,complement(X_675))))) )],[refute_1_2744,refute_1_2747]) ).
cnf(refute_1_2749,plain,
( X_675 != join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))
| join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))) != join(X_675,complement(join(X_676,complement(X_675))))
| X_675 = join(X_675,complement(join(X_676,complement(X_675)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(X_675,complement(join(X_676,complement(X_675))))) ),[0],$fot(join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))))]]) ).
cnf(refute_1_2750,plain,
( X_675 != join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))
| X_675 = join(X_675,complement(join(X_676,complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675))))),join(X_675,complement(join(X_676,complement(X_675))))) )],[refute_1_2748,refute_1_2749]) ).
cnf(refute_1_2751,plain,
X_675 = join(X_675,complement(join(X_676,complement(X_675)))),
inference(resolve,[$cnf( $equal(X_675,join(complement(join(X_676,complement(X_675))),join(meet(X_675,X_676),complement(join(X_676,complement(X_675)))))) )],[refute_1_2739,refute_1_2750]) ).
cnf(refute_1_2752,plain,
one = join(one,complement(join(X_676,complement(one)))),
inference(subst,[],[refute_1_2751:[bind(X_675,$fot(one))]]) ).
cnf(refute_1_2753,plain,
( one != join(one,complement(join(X_676,complement(one))))
| join(one,complement(join(X_676,complement(one)))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(join(X_676,complement(one))))))]]) ).
cnf(refute_1_2754,plain,
join(one,complement(join(X_676,complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(join(X_676,complement(one))))) )],[refute_1_2752,refute_1_2753]) ).
cnf(refute_1_2755,plain,
( join(one,complement(join(X_676,complement(one)))) != one
| skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,join(X_885,join(one,complement(join(X_676,complement(one))))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_885,one)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,join(X_885,join(one,complement(join(X_676,complement(one))))))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_1_2756,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,join(X_885,join(one,complement(join(X_676,complement(one))))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_885,one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(X_676,complement(one)))),one) )],[refute_1_2754,refute_1_2755]) ).
cnf(refute_1_2757,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_885,one)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,join(X_885,join(one,complement(join(X_676,complement(one))))))) )],[refute_1_2733,refute_1_2756]) ).
cnf(refute_1_2758,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,join(X_887,one)),
inference(subst,[],[refute_1_2757:[bind(X_885,$fot(X_887))]]) ).
cnf(refute_1_2759,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,join(X_887,one))
| meet(skolemFOFtoCNF_X0_1,join(X_887,one)) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,join(X_887,one))))]]) ).
cnf(refute_1_2760,plain,
meet(skolemFOFtoCNF_X0_1,join(X_887,one)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,join(X_887,one))) )],[refute_1_2758,refute_1_2759]) ).
cnf(refute_1_2761,plain,
( join(X_887,one) != join(meet(skolemFOFtoCNF_X0_1,join(X_887,one)),complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))
| meet(skolemFOFtoCNF_X0_1,join(X_887,one)) != skolemFOFtoCNF_X0_1
| join(X_887,one) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_887,one),join(meet(skolemFOFtoCNF_X0_1,join(X_887,one)),complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_2762,plain,
( join(X_887,one) != join(meet(skolemFOFtoCNF_X0_1,join(X_887,one)),complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))
| join(X_887,one) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,join(X_887,one)),skolemFOFtoCNF_X0_1) )],[refute_1_2760,refute_1_2761]) ).
cnf(refute_1_2763,plain,
join(X_887,one) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))),
inference(resolve,[$cnf( $equal(join(X_887,one),join(meet(skolemFOFtoCNF_X0_1,join(X_887,one)),complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))) )],[refute_1_2708,refute_1_2762]) ).
cnf(refute_1_2764,plain,
join(one,join(skolemFOFtoCNF_X0_1,X_887)) = join(one,X_887),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(X_887))]]) ).
cnf(refute_1_2765,plain,
join(skolemFOFtoCNF_X0_1,join(X_887,one)) = join(one,join(skolemFOFtoCNF_X0_1,X_887)),
inference(subst,[],[refute_1_678:[bind(X0,$fot(one)),bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(X_887))]]) ).
cnf(refute_1_2766,plain,
( join(one,join(skolemFOFtoCNF_X0_1,X_887)) != join(one,X_887)
| join(skolemFOFtoCNF_X0_1,join(X_887,one)) != join(one,join(skolemFOFtoCNF_X0_1,X_887))
| join(skolemFOFtoCNF_X0_1,join(X_887,one)) = join(one,X_887) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(X_887,one)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0_1,X_887)))),bind(Z,$fot(join(one,X_887)))]]) ).
cnf(refute_1_2767,plain,
( join(one,join(skolemFOFtoCNF_X0_1,X_887)) != join(one,X_887)
| join(skolemFOFtoCNF_X0_1,join(X_887,one)) = join(one,X_887) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_887,one)),join(one,join(skolemFOFtoCNF_X0_1,X_887))) )],[refute_1_2765,refute_1_2766]) ).
cnf(refute_1_2768,plain,
join(skolemFOFtoCNF_X0_1,join(X_887,one)) = join(one,X_887),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,X_887)),join(one,X_887)) )],[refute_1_2764,refute_1_2767]) ).
cnf(refute_1_2769,plain,
join(join(X_887,one),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,join(X_887,one)),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(skolemFOFtoCNF_X0_1)),bind(X_735,$fot(join(X_887,one)))]]) ).
cnf(refute_1_2770,plain,
( join(join(X_887,one),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,join(X_887,one))
| join(skolemFOFtoCNF_X0_1,join(X_887,one)) != join(one,X_887)
| join(join(X_887,one),skolemFOFtoCNF_X0_1) = join(one,X_887) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_887,one),skolemFOFtoCNF_X0_1))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(X_887,one)))),bind(Z,$fot(join(one,X_887)))]]) ).
cnf(refute_1_2771,plain,
( join(skolemFOFtoCNF_X0_1,join(X_887,one)) != join(one,X_887)
| join(join(X_887,one),skolemFOFtoCNF_X0_1) = join(one,X_887) ),
inference(resolve,[$cnf( $equal(join(join(X_887,one),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,join(X_887,one))) )],[refute_1_2769,refute_1_2770]) ).
cnf(refute_1_2772,plain,
join(join(X_887,one),skolemFOFtoCNF_X0_1) = join(one,X_887),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_887,one)),join(one,X_887)) )],[refute_1_2768,refute_1_2771]) ).
cnf(refute_1_2773,plain,
join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) = join(join(X_887,one),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_891:[bind(X_676,$fot(skolemFOFtoCNF_X0_1)),bind(X_758,$fot(join(X_887,one)))]]) ).
cnf(refute_1_2774,plain,
( join(join(X_887,one),skolemFOFtoCNF_X0_1) != join(one,X_887)
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) != join(join(X_887,one),skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) = join(one,X_887) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))))),bind(Y,$fot(join(join(X_887,one),skolemFOFtoCNF_X0_1))),bind(Z,$fot(join(one,X_887)))]]) ).
cnf(refute_1_2775,plain,
( join(join(X_887,one),skolemFOFtoCNF_X0_1) != join(one,X_887)
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) = join(one,X_887) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))),join(join(X_887,one),skolemFOFtoCNF_X0_1)) )],[refute_1_2773,refute_1_2774]) ).
cnf(refute_1_2776,plain,
join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) = join(one,X_887),
inference(resolve,[$cnf( $equal(join(join(X_887,one),skolemFOFtoCNF_X0_1),join(one,X_887)) )],[refute_1_2772,refute_1_2775]) ).
cnf(refute_1_2777,plain,
( join(X_887,one) != join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))) != join(one,X_887)
| join(X_887,one) = join(one,X_887) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_887,one),join(one,X_887)) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))))]]) ).
cnf(refute_1_2778,plain,
( join(X_887,one) != join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))
| join(X_887,one) = join(one,X_887) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one))))),join(one,X_887)) )],[refute_1_2776,refute_1_2777]) ).
cnf(refute_1_2779,plain,
join(X_887,one) = join(one,X_887),
inference(resolve,[$cnf( $equal(join(X_887,one),join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(join(X_887,one)))))) )],[refute_1_2763,refute_1_2778]) ).
cnf(refute_1_2780,plain,
join(complement(one),one) = join(one,complement(one)),
inference(subst,[],[refute_1_2779:[bind(X_887,$fot(complement(one)))]]) ).
cnf(refute_1_2781,plain,
( join(complement(one),one) != join(one,complement(one))
| join(one,complement(one)) != top
| join(complement(one),one) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),one))),bind(Y,$fot(join(one,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_2782,plain,
( join(one,complement(one)) != top
| join(complement(one),one) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),one),join(one,complement(one))) )],[refute_1_2780,refute_1_2781]) ).
cnf(refute_1_2783,plain,
join(complement(one),one) = top,
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_1_2707,refute_1_2782]) ).
cnf(refute_1_2784,plain,
one = join(meet(one,skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),one)),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(skolemFOFtoCNF_X0_1)),bind(X_703,$fot(one))]]) ).
cnf(refute_1_2785,plain,
skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,one),complement(join(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_472:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_676,$fot(one))]]) ).
cnf(refute_1_2786,plain,
( join(one,complement(skolemFOFtoCNF_X0_1)) != top
| skolemFOFtoCNF_X0_1 != join(meet(skolemFOFtoCNF_X0_1,one),complement(join(one,complement(skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(meet(skolemFOFtoCNF_X0_1,one),complement(join(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_2787,plain,
( skolemFOFtoCNF_X0_1 != join(meet(skolemFOFtoCNF_X0_1,one),complement(join(one,complement(skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0_1)),top) )],[refute_1_1244,refute_1_2786]) ).
cnf(refute_1_2788,plain,
skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,one),complement(top)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(meet(skolemFOFtoCNF_X0_1,one),complement(join(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2785,refute_1_2787]) ).
cnf(refute_1_2789,plain,
join(zero,meet(one,skolemFOFtoCNF_X0_1)) = meet(one,skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(one,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2790,plain,
meet(skolemFOFtoCNF_X0_1,one) = meet(one,skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_2791,plain,
join(zero,meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(skolemFOFtoCNF_X0_1,one)),
introduced(tautology,[refl,[$fot(join(zero,meet(skolemFOFtoCNF_X0_1,one)))]]) ).
cnf(refute_1_2792,plain,
( join(zero,meet(skolemFOFtoCNF_X0_1,one)) != join(zero,meet(skolemFOFtoCNF_X0_1,one))
| meet(skolemFOFtoCNF_X0_1,one) != meet(one,skolemFOFtoCNF_X0_1)
| join(zero,meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(one,skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0_1,one)),join(zero,meet(skolemFOFtoCNF_X0_1,one))) ),[1,1],$fot(meet(one,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_2793,plain,
( meet(skolemFOFtoCNF_X0_1,one) != meet(one,skolemFOFtoCNF_X0_1)
| join(zero,meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(one,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0_1,one)),join(zero,meet(skolemFOFtoCNF_X0_1,one))) )],[refute_1_2791,refute_1_2792]) ).
cnf(refute_1_2794,plain,
join(zero,meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(one,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,one),meet(one,skolemFOFtoCNF_X0_1)) )],[refute_1_2790,refute_1_2793]) ).
cnf(refute_1_2795,plain,
join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)))]]) ).
cnf(refute_1_2796,plain,
( complement(top) != zero
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) != join(complement(top),meet(skolemFOFtoCNF_X0_1,one))
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(skolemFOFtoCNF_X0_1,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),join(complement(top),meet(skolemFOFtoCNF_X0_1,one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2797,plain,
( complement(top) != zero
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(skolemFOFtoCNF_X0_1,one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),join(complement(top),meet(skolemFOFtoCNF_X0_1,one))) )],[refute_1_2795,refute_1_2796]) ).
cnf(refute_1_2798,plain,
join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(skolemFOFtoCNF_X0_1,one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2797]) ).
cnf(refute_1_2799,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) != join(zero,meet(skolemFOFtoCNF_X0_1,one))
| join(zero,meet(skolemFOFtoCNF_X0_1,one)) != join(zero,meet(one,skolemFOFtoCNF_X0_1))
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(one,skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0_1,one)))),bind(Z,$fot(join(zero,meet(one,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2800,plain,
( join(zero,meet(skolemFOFtoCNF_X0_1,one)) != join(zero,meet(one,skolemFOFtoCNF_X0_1))
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(one,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),join(zero,meet(skolemFOFtoCNF_X0_1,one))) )],[refute_1_2798,refute_1_2799]) ).
cnf(refute_1_2801,plain,
join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = join(zero,meet(one,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0_1,one)),join(zero,meet(one,skolemFOFtoCNF_X0_1))) )],[refute_1_2794,refute_1_2800]) ).
cnf(refute_1_2802,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) != join(zero,meet(one,skolemFOFtoCNF_X0_1))
| join(zero,meet(one,skolemFOFtoCNF_X0_1)) != meet(one,skolemFOFtoCNF_X0_1)
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = meet(one,skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)))),bind(Y,$fot(join(zero,meet(one,skolemFOFtoCNF_X0_1)))),bind(Z,$fot(meet(one,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2803,plain,
( join(zero,meet(one,skolemFOFtoCNF_X0_1)) != meet(one,skolemFOFtoCNF_X0_1)
| join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = meet(one,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),join(zero,meet(one,skolemFOFtoCNF_X0_1))) )],[refute_1_2801,refute_1_2802]) ).
cnf(refute_1_2804,plain,
join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) = meet(one,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(zero,meet(one,skolemFOFtoCNF_X0_1)),meet(one,skolemFOFtoCNF_X0_1)) )],[refute_1_2789,refute_1_2803]) ).
cnf(refute_1_2805,plain,
join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) = join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(skolemFOFtoCNF_X0_1,one)))]]) ).
cnf(refute_1_2806,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) != meet(one,skolemFOFtoCNF_X0_1)
| join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) != join(complement(top),meet(skolemFOFtoCNF_X0_1,one))
| join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) = meet(one,skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0_1,one),complement(top)))),bind(Y,$fot(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)))),bind(Z,$fot(meet(one,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2807,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0_1,one)) != meet(one,skolemFOFtoCNF_X0_1)
| join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) = meet(one,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,one),complement(top)),join(complement(top),meet(skolemFOFtoCNF_X0_1,one))) )],[refute_1_2805,refute_1_2806]) ).
cnf(refute_1_2808,plain,
join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) = meet(one,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0_1,one)),meet(one,skolemFOFtoCNF_X0_1)) )],[refute_1_2804,refute_1_2807]) ).
cnf(refute_1_2809,plain,
( join(meet(skolemFOFtoCNF_X0_1,one),complement(top)) != meet(one,skolemFOFtoCNF_X0_1)
| skolemFOFtoCNF_X0_1 != join(meet(skolemFOFtoCNF_X0_1,one),complement(top))
| skolemFOFtoCNF_X0_1 = meet(one,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(meet(skolemFOFtoCNF_X0_1,one),complement(top))) ),[1],$fot(meet(one,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_2810,plain,
( skolemFOFtoCNF_X0_1 != join(meet(skolemFOFtoCNF_X0_1,one),complement(top))
| skolemFOFtoCNF_X0_1 = meet(one,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,one),complement(top)),meet(one,skolemFOFtoCNF_X0_1)) )],[refute_1_2808,refute_1_2809]) ).
cnf(refute_1_2811,plain,
skolemFOFtoCNF_X0_1 = meet(one,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(meet(skolemFOFtoCNF_X0_1,one),complement(top))) )],[refute_1_2788,refute_1_2810]) ).
cnf(refute_1_2812,plain,
( skolemFOFtoCNF_X0_1 != meet(one,skolemFOFtoCNF_X0_1)
| meet(one,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(meet(one,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2813,plain,
meet(one,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(one,skolemFOFtoCNF_X0_1)) )],[refute_1_2811,refute_1_2812]) ).
cnf(refute_1_2814,plain,
( meet(one,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| one != join(meet(one,skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),one))
| one = join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),one))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_2815,plain,
( one != join(meet(one,skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),one))
| one = join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_2813,refute_1_2814]) ).
cnf(refute_1_2816,plain,
one = join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2784,refute_1_2815]) ).
cnf(refute_1_2817,plain,
join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) = join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)))]]) ).
cnf(refute_1_2818,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) != join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))
| meet(complement(skolemFOFtoCNF_X0_1),one) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) = join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)),join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2819,plain,
( meet(complement(skolemFOFtoCNF_X0_1),one) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) = join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)),join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2817,refute_1_2818]) ).
cnf(refute_1_2820,plain,
join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) = join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),one),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1141,refute_1_2819]) ).
cnf(refute_1_2821,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)) != join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))
| one != join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))
| one = join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2822,plain,
( one != join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))
| one = join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one)),join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2820,refute_1_2821]) ).
cnf(refute_1_2823,plain,
one = join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),one))) )],[refute_1_2816,refute_1_2822]) ).
cnf(refute_1_2824,plain,
( one != join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2825,plain,
join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2823,refute_1_2824]) ).
cnf(refute_1_2826,plain,
converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2827,plain,
( converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_2828,plain,
( join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2826,refute_1_2827]) ).
cnf(refute_1_2829,plain,
converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(one),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),one) )],[refute_1_2825,refute_1_2828]) ).
cnf(refute_1_2830,plain,
( converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(one)
| converse(one) != one
| converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_1_2831,plain,
( converse(one) != one
| converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(one)) )],[refute_1_2829,refute_1_2830]) ).
cnf(refute_1_2832,plain,
converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_2831]) ).
cnf(refute_1_2833,plain,
join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1047:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2834,plain,
( converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) != one
| join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_1_2835,plain,
( converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))) != one
| join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = one ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2833,refute_1_2834]) ).
cnf(refute_1_2836,plain,
join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = one,
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),one) )],[refute_1_2832,refute_1_2835]) ).
cnf(refute_1_2837,plain,
converse(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2838,plain,
converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(subst,[],[refute_1_566:[bind(X_734,$fot(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(X_735,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2839,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_594,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2840,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(X_703,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_2841,plain,
meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))))),
inference(subst,[],[refute_1_539:[bind(X_675,$fot(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2842,plain,
( complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))))) ),[1,1,0,0,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_2843,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_2530,refute_1_2842]) ).
cnf(refute_1_2844,plain,
meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))))) )],[refute_1_2841,refute_1_2843]) ).
cnf(refute_1_2845,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[0],$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2846,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2533,refute_1_2845]) ).
cnf(refute_1_2847,plain,
meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(X_602,$fot(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2848,plain,
meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2849,plain,
( meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[1,1],$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2850,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2848,refute_1_2849]) ).
cnf(refute_1_2851,plain,
meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2533,refute_1_2850]) ).
cnf(refute_1_2852,plain,
converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_2853,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2854,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_2855,plain,
( converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2853,refute_1_2854]) ).
cnf(refute_1_2856,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_2852,refute_1_2855]) ).
cnf(refute_1_2857,plain,
converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2858,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,0],$fot(complement(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_2859,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2857,refute_1_2858]) ).
cnf(refute_1_2860,plain,
converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_2856,refute_1_2859]) ).
cnf(refute_1_2861,plain,
meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2862,plain,
( converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[1,0],$fot(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2863,plain,
( converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2861,refute_1_2862]) ).
cnf(refute_1_2864,plain,
meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2860,refute_1_2863]) ).
cnf(refute_1_2865,plain,
( meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Y,$fot(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Z,$fot(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2866,plain,
( meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2864,refute_1_2865]) ).
cnf(refute_1_2867,plain,
meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2851,refute_1_2866]) ).
cnf(refute_1_2868,plain,
( meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Y,$fot(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Z,$fot(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2869,plain,
( meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2867,refute_1_2868]) ).
cnf(refute_1_2870,plain,
meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2847,refute_1_2869]) ).
cnf(refute_1_2871,plain,
meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(X_602,$fot(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2872,plain,
( meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Y,$fot(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Z,$fot(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2873,plain,
( meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2871,refute_1_2872]) ).
cnf(refute_1_2874,plain,
meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2870,refute_1_2873]) ).
cnf(refute_1_2875,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[0],$fot(meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_2876,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2874,refute_1_2875]) ).
cnf(refute_1_2877,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2846,refute_1_2876]) ).
cnf(refute_1_2878,plain,
complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2844,refute_1_2877]) ).
cnf(refute_1_2879,plain,
meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_602,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2880,plain,
converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),
introduced(tautology,[refl,[$fot(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2881,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_2882,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2880,refute_1_2881]) ).
cnf(refute_1_2883,plain,
converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_2882]) ).
cnf(refute_1_2884,plain,
meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2885,plain,
( converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2886,plain,
( converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2884,refute_1_2885]) ).
cnf(refute_1_2887,plain,
meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2883,refute_1_2886]) ).
cnf(refute_1_2888,plain,
( meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Y,$fot(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2889,plain,
( meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2887,refute_1_2888]) ).
cnf(refute_1_2890,plain,
meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2879,refute_1_2889]) ).
cnf(refute_1_2891,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[0],$fot(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2892,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2890,refute_1_2891]) ).
cnf(refute_1_2893,plain,
complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(complement(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2878,refute_1_2892]) ).
cnf(refute_1_2894,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2895,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2893,refute_1_2894]) ).
cnf(refute_1_2896,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_2897,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2895,refute_1_2896]) ).
cnf(refute_1_2898,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2840,refute_1_2897]) ).
cnf(refute_1_2899,plain,
join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_735,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2900,plain,
join(X_720,meet(complement(X_720),X_676)) = join(meet(X_676,join(X_720,meet(complement(X_720),X_676))),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(join(X_720,meet(complement(X_720),X_676))))]]) ).
cnf(refute_1_2901,plain,
X_675 = join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(join(complement(X_675),join(complement(X_607),meet(X_607,X_675))))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(join(complement(X_607),meet(X_607,X_675))))]]) ).
cnf(refute_1_2902,plain,
join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = join(complement(X_607),join(complement(X_608),meet(X_607,X_608))),
inference(subst,[],[refute_1_1:[bind(X0,$fot(join(complement(X_608),meet(X_607,X_608)))),bind(X1,$fot(complement(X_607)))]]) ).
cnf(refute_1_2903,plain,
top = join(complement(X_607),join(complement(X_608),meet(X_607,X_608))),
inference(subst,[],[refute_1_66:[bind(X_601,$fot(X_607)),bind(X_602,$fot(X_608))]]) ).
cnf(refute_1_2904,plain,
( top != join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))
| join(complement(X_607),join(complement(X_608),meet(X_607,X_608))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))))]]) ).
cnf(refute_1_2905,plain,
join(complement(X_607),join(complement(X_608),meet(X_607,X_608))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))) )],[refute_1_2903,refute_1_2904]) ).
cnf(refute_1_2906,plain,
( join(complement(X_607),join(complement(X_608),meet(X_607,X_608))) != top
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) != join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)),join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))) ),[1],$fot(top)]]) ).
cnf(refute_1_2907,plain,
( join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) != join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_607),join(complement(X_608),meet(X_607,X_608))),top) )],[refute_1_2905,refute_1_2906]) ).
cnf(refute_1_2908,plain,
join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)),join(complement(X_607),join(complement(X_608),meet(X_607,X_608)))) )],[refute_1_2902,refute_1_2907]) ).
cnf(refute_1_2909,plain,
join(meet(X_607,X_608),complement(X_607)) = join(complement(X_607),meet(X_607,X_608)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(X_607))),bind(X1,$fot(meet(X_607,X_608)))]]) ).
cnf(refute_1_2910,plain,
join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) = join(complement(X_608),join(meet(X_607,X_608),complement(X_607))),
introduced(tautology,[refl,[$fot(join(complement(X_608),join(meet(X_607,X_608),complement(X_607))))]]) ).
cnf(refute_1_2911,plain,
( join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) != join(complement(X_608),join(meet(X_607,X_608),complement(X_607)))
| join(meet(X_607,X_608),complement(X_607)) != join(complement(X_607),meet(X_607,X_608))
| join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) = join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_608),join(meet(X_607,X_608),complement(X_607))),join(complement(X_608),join(meet(X_607,X_608),complement(X_607)))) ),[1,1],$fot(join(complement(X_607),meet(X_607,X_608)))]]) ).
cnf(refute_1_2912,plain,
( join(meet(X_607,X_608),complement(X_607)) != join(complement(X_607),meet(X_607,X_608))
| join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) = join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) ),
inference(resolve,[$cnf( $equal(join(complement(X_608),join(meet(X_607,X_608),complement(X_607))),join(complement(X_608),join(meet(X_607,X_608),complement(X_607)))) )],[refute_1_2910,refute_1_2911]) ).
cnf(refute_1_2913,plain,
join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) = join(complement(X_608),join(complement(X_607),meet(X_607,X_608))),
inference(resolve,[$cnf( $equal(join(meet(X_607,X_608),complement(X_607)),join(complement(X_607),meet(X_607,X_608))) )],[refute_1_2909,refute_1_2912]) ).
cnf(refute_1_2914,plain,
join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = join(complement(X_608),join(meet(X_607,X_608),complement(X_607))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(X_608))),bind(X1,$fot(meet(X_607,X_608))),bind(X2,$fot(complement(X_607)))]]) ).
cnf(refute_1_2915,plain,
( join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) != join(complement(X_608),join(complement(X_607),meet(X_607,X_608)))
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) != join(complement(X_608),join(meet(X_607,X_608),complement(X_607)))
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)))),bind(Y,$fot(join(complement(X_608),join(meet(X_607,X_608),complement(X_607))))),bind(Z,$fot(join(complement(X_608),join(complement(X_607),meet(X_607,X_608)))))]]) ).
cnf(refute_1_2916,plain,
( join(complement(X_608),join(meet(X_607,X_608),complement(X_607))) != join(complement(X_608),join(complement(X_607),meet(X_607,X_608)))
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)),join(complement(X_608),join(meet(X_607,X_608),complement(X_607)))) )],[refute_1_2914,refute_1_2915]) ).
cnf(refute_1_2917,plain,
join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) = join(complement(X_608),join(complement(X_607),meet(X_607,X_608))),
inference(resolve,[$cnf( $equal(join(complement(X_608),join(meet(X_607,X_608),complement(X_607))),join(complement(X_608),join(complement(X_607),meet(X_607,X_608)))) )],[refute_1_2913,refute_1_2916]) ).
cnf(refute_1_2918,plain,
( join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) != join(complement(X_608),join(complement(X_607),meet(X_607,X_608)))
| join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) != top
| join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)),top) ),[0],$fot(join(complement(X_608),join(complement(X_607),meet(X_607,X_608))))]]) ).
cnf(refute_1_2919,plain,
( join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)) != top
| join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)),join(complement(X_608),join(complement(X_607),meet(X_607,X_608)))) )],[refute_1_2917,refute_1_2918]) ).
cnf(refute_1_2920,plain,
join(complement(X_608),join(complement(X_607),meet(X_607,X_608))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_608),meet(X_607,X_608)),complement(X_607)),top) )],[refute_1_2908,refute_1_2919]) ).
cnf(refute_1_2921,plain,
join(complement(X_675),join(complement(X_607),meet(X_607,X_675))) = top,
inference(subst,[],[refute_1_2920:[bind(X_608,$fot(X_675))]]) ).
cnf(refute_1_2922,plain,
( X_675 != join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(join(complement(X_675),join(complement(X_607),meet(X_607,X_675)))))
| join(complement(X_675),join(complement(X_607),meet(X_607,X_675))) != top
| X_675 = join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(join(complement(X_675),join(complement(X_607),meet(X_607,X_675)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_2923,plain,
( X_675 != join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(join(complement(X_675),join(complement(X_607),meet(X_607,X_675)))))
| X_675 = join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(complement(X_607),meet(X_607,X_675))),top) )],[refute_1_2921,refute_1_2922]) ).
cnf(refute_1_2924,plain,
X_675 = join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(join(complement(X_675),join(complement(X_607),meet(X_607,X_675)))))) )],[refute_1_2901,refute_1_2923]) ).
cnf(refute_1_2925,plain,
join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) = join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))))]]) ).
cnf(refute_1_2926,plain,
( complement(top) != zero
| join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) != join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))),join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_2927,plain,
( complement(top) != zero
| join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))),join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675))))) )],[refute_1_2925,refute_1_2926]) ).
cnf(refute_1_2928,plain,
join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_2927]) ).
cnf(refute_1_2929,plain,
join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) = join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_675,join(complement(X_607),meet(X_607,X_675)))))]]) ).
cnf(refute_1_2930,plain,
( join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) != join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) != join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))))),bind(Z,$fot(join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))))]]) ).
cnf(refute_1_2931,plain,
( join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) != join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)),join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675))))) )],[refute_1_2929,refute_1_2930]) ).
cnf(refute_1_2932,plain,
join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_675,join(complement(X_607),meet(X_607,X_675)))),join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))) )],[refute_1_2928,refute_1_2931]) ).
cnf(refute_1_2933,plain,
( X_675 != join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top))
| join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)) != join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| X_675 = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))) ),[0],$fot(join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)))]]) ).
cnf(refute_1_2934,plain,
( X_675 != join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top))
| X_675 = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top)),join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))) )],[refute_1_2932,refute_1_2933]) ).
cnf(refute_1_2935,plain,
X_675 = join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,join(complement(X_607),meet(X_607,X_675))),complement(top))) )],[refute_1_2924,refute_1_2934]) ).
cnf(refute_1_2936,plain,
join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) = meet(X_675,join(complement(X_607),meet(X_607,X_675))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_675,join(complement(X_607),meet(X_607,X_675)))))]]) ).
cnf(refute_1_2937,plain,
( X_675 != join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) != meet(X_675,join(complement(X_607),meet(X_607,X_675)))
| X_675 = meet(X_675,join(complement(X_607),meet(X_607,X_675))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,join(complement(X_607),meet(X_607,X_675)))) ),[0],$fot(join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))))]]) ).
cnf(refute_1_2938,plain,
( X_675 != join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))
| X_675 = meet(X_675,join(complement(X_607),meet(X_607,X_675))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675)))),meet(X_675,join(complement(X_607),meet(X_607,X_675)))) )],[refute_1_2936,refute_1_2937]) ).
cnf(refute_1_2939,plain,
X_675 = meet(X_675,join(complement(X_607),meet(X_607,X_675))),
inference(resolve,[$cnf( $equal(X_675,join(zero,meet(X_675,join(complement(X_607),meet(X_607,X_675))))) )],[refute_1_2935,refute_1_2938]) ).
cnf(refute_1_2940,plain,
X_717 = meet(X_717,join(complement(complement(X_675)),meet(complement(X_675),X_717))),
inference(subst,[],[refute_1_2939:[bind(X_607,$fot(complement(X_675))),bind(X_675,$fot(X_717))]]) ).
cnf(refute_1_2941,plain,
( X_717 != meet(X_717,join(complement(complement(X_675)),meet(complement(X_675),X_717)))
| complement(complement(X_675)) != X_675
| X_717 = meet(X_717,join(X_675,meet(complement(X_675),X_717))) ),
introduced(tautology,[equality,[$cnf( $equal(X_717,meet(X_717,join(complement(complement(X_675)),meet(complement(X_675),X_717)))) ),[1,1,0],$fot(X_675)]]) ).
cnf(refute_1_2942,plain,
( X_717 != meet(X_717,join(complement(complement(X_675)),meet(complement(X_675),X_717)))
| X_717 = meet(X_717,join(X_675,meet(complement(X_675),X_717))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_2941]) ).
cnf(refute_1_2943,plain,
X_717 = meet(X_717,join(X_675,meet(complement(X_675),X_717))),
inference(resolve,[$cnf( $equal(X_717,meet(X_717,join(complement(complement(X_675)),meet(complement(X_675),X_717)))) )],[refute_1_2940,refute_1_2942]) ).
cnf(refute_1_2944,plain,
X_676 = meet(X_676,join(X_720,meet(complement(X_720),X_676))),
inference(subst,[],[refute_1_2943:[bind(X_675,$fot(X_720)),bind(X_717,$fot(X_676))]]) ).
cnf(refute_1_2945,plain,
( X_676 != meet(X_676,join(X_720,meet(complement(X_720),X_676)))
| meet(X_676,join(X_720,meet(complement(X_720),X_676))) = X_676 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_676)),bind(Y,$fot(meet(X_676,join(X_720,meet(complement(X_720),X_676)))))]]) ).
cnf(refute_1_2946,plain,
meet(X_676,join(X_720,meet(complement(X_720),X_676))) = X_676,
inference(resolve,[$cnf( $equal(X_676,meet(X_676,join(X_720,meet(complement(X_720),X_676)))) )],[refute_1_2944,refute_1_2945]) ).
cnf(refute_1_2947,plain,
( join(X_720,meet(complement(X_720),X_676)) != join(meet(X_676,join(X_720,meet(complement(X_720),X_676))),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))
| meet(X_676,join(X_720,meet(complement(X_720),X_676))) != X_676
| join(X_720,meet(complement(X_720),X_676)) = join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_720,meet(complement(X_720),X_676)),join(meet(X_676,join(X_720,meet(complement(X_720),X_676))),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))) ),[1,0],$fot(X_676)]]) ).
cnf(refute_1_2948,plain,
( join(X_720,meet(complement(X_720),X_676)) != join(meet(X_676,join(X_720,meet(complement(X_720),X_676))),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))
| join(X_720,meet(complement(X_720),X_676)) = join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) ),
inference(resolve,[$cnf( $equal(meet(X_676,join(X_720,meet(complement(X_720),X_676))),X_676) )],[refute_1_2946,refute_1_2947]) ).
cnf(refute_1_2949,plain,
join(X_720,meet(complement(X_720),X_676)) = join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))),
inference(resolve,[$cnf( $equal(join(X_720,meet(complement(X_720),X_676)),join(meet(X_676,join(X_720,meet(complement(X_720),X_676))),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))) )],[refute_1_2900,refute_1_2948]) ).
cnf(refute_1_2950,plain,
join(complement(join(X_720,meet(complement(X_720),X_676))),X_676) = join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_676)),bind(X1,$fot(complement(join(X_720,meet(complement(X_720),X_676)))))]]) ).
cnf(refute_1_2951,plain,
complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) = complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))]]) ).
cnf(refute_1_2952,plain,
( complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) != complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))
| join(complement(join(X_720,meet(complement(X_720),X_676))),X_676) != join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))
| complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) = complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) ),[1,0],$fot(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))]]) ).
cnf(refute_1_2953,plain,
( join(complement(join(X_720,meet(complement(X_720),X_676))),X_676) != join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))
| complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) = complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)),complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) )],[refute_1_2951,refute_1_2952]) ).
cnf(refute_1_2954,plain,
complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) = complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))),
inference(resolve,[$cnf( $equal(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676),join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))) )],[refute_1_2950,refute_1_2953]) ).
cnf(refute_1_2955,plain,
join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) = join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))))]]) ).
cnf(refute_1_2956,plain,
( complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) != complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))
| join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) != join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))
| join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) = join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))),join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))) ),[1,1],$fot(complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))]]) ).
cnf(refute_1_2957,plain,
( complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)) != complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))
| join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) = join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))),join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))) )],[refute_1_2955,refute_1_2956]) ).
cnf(refute_1_2958,plain,
join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) = join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)),complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) )],[refute_1_2954,refute_1_2957]) ).
cnf(refute_1_2959,plain,
( join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))) != join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))
| join(X_720,meet(complement(X_720),X_676)) != join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))
| join(X_720,meet(complement(X_720),X_676)) = join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_720,meet(complement(X_720),X_676)),join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))) ),[1],$fot(join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))))]]) ).
cnf(refute_1_2960,plain,
( join(X_720,meet(complement(X_720),X_676)) != join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))
| join(X_720,meet(complement(X_720),X_676)) = join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676))),join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))) )],[refute_1_2958,refute_1_2959]) ).
cnf(refute_1_2961,plain,
join(X_720,meet(complement(X_720),X_676)) = join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))),
inference(resolve,[$cnf( $equal(join(X_720,meet(complement(X_720),X_676)),join(X_676,complement(join(complement(join(X_720,meet(complement(X_720),X_676))),X_676)))) )],[refute_1_2949,refute_1_2960]) ).
cnf(refute_1_2962,plain,
X_899 = join(X_899,meet(complement(complement(X_675)),X_899)),
inference(subst,[],[refute_1_740:[bind(X_702,$fot(complement(X_675))),bind(X_703,$fot(X_899))]]) ).
cnf(refute_1_2963,plain,
( X_899 != join(X_899,meet(complement(complement(X_675)),X_899))
| complement(complement(X_675)) != X_675
| X_899 = join(X_899,meet(X_675,X_899)) ),
introduced(tautology,[equality,[$cnf( $equal(X_899,join(X_899,meet(complement(complement(X_675)),X_899))) ),[1,1,0],$fot(X_675)]]) ).
cnf(refute_1_2964,plain,
( X_899 != join(X_899,meet(complement(complement(X_675)),X_899))
| X_899 = join(X_899,meet(X_675,X_899)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_2963]) ).
cnf(refute_1_2965,plain,
X_899 = join(X_899,meet(X_675,X_899)),
inference(resolve,[$cnf( $equal(X_899,join(X_899,meet(complement(complement(X_675)),X_899))) )],[refute_1_2962,refute_1_2964]) ).
cnf(refute_1_2966,plain,
( X_899 != join(X_899,meet(X_675,X_899))
| join(X_899,meet(X_675,X_899)) = X_899 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_899)),bind(Y,$fot(join(X_899,meet(X_675,X_899))))]]) ).
cnf(refute_1_2967,plain,
join(X_899,meet(X_675,X_899)) = X_899,
inference(resolve,[$cnf( $equal(X_899,join(X_899,meet(X_675,X_899))) )],[refute_1_2965,refute_1_2966]) ).
cnf(refute_1_2968,plain,
join(X_676,meet(complement(X_720),X_676)) = X_676,
inference(subst,[],[refute_1_2967:[bind(X_675,$fot(complement(X_720))),bind(X_899,$fot(X_676))]]) ).
cnf(refute_1_2969,plain,
join(X_720,join(X_676,meet(complement(X_720),X_676))) = join(X_720,join(X_676,meet(complement(X_720),X_676))),
introduced(tautology,[refl,[$fot(join(X_720,join(X_676,meet(complement(X_720),X_676))))]]) ).
cnf(refute_1_2970,plain,
( join(X_676,meet(complement(X_720),X_676)) != X_676
| join(X_720,join(X_676,meet(complement(X_720),X_676))) != join(X_720,join(X_676,meet(complement(X_720),X_676)))
| join(X_720,join(X_676,meet(complement(X_720),X_676))) = join(X_720,X_676) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_720,join(X_676,meet(complement(X_720),X_676))),join(X_720,join(X_676,meet(complement(X_720),X_676)))) ),[1,1],$fot(X_676)]]) ).
cnf(refute_1_2971,plain,
( join(X_676,meet(complement(X_720),X_676)) != X_676
| join(X_720,join(X_676,meet(complement(X_720),X_676))) = join(X_720,X_676) ),
inference(resolve,[$cnf( $equal(join(X_720,join(X_676,meet(complement(X_720),X_676))),join(X_720,join(X_676,meet(complement(X_720),X_676)))) )],[refute_1_2969,refute_1_2970]) ).
cnf(refute_1_2972,plain,
join(X_720,join(X_676,meet(complement(X_720),X_676))) = join(X_720,X_676),
inference(resolve,[$cnf( $equal(join(X_676,meet(complement(X_720),X_676)),X_676) )],[refute_1_2968,refute_1_2971]) ).
cnf(refute_1_2973,plain,
join(X_720,join(meet(complement(X_720),X_676),X_676)) = join(X_720,join(X_676,meet(complement(X_720),X_676))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(X_720)),bind(X1,$fot(meet(complement(X_720),X_676))),bind(X_737,$fot(X_676))]]) ).
cnf(refute_1_2974,plain,
join(join(X_720,meet(complement(X_720),X_676)),X_676) = join(X_720,join(meet(complement(X_720),X_676),X_676)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_720)),bind(X1,$fot(meet(complement(X_720),X_676))),bind(X2,$fot(X_676))]]) ).
cnf(refute_1_2975,plain,
( join(X_720,join(meet(complement(X_720),X_676),X_676)) != join(X_720,join(X_676,meet(complement(X_720),X_676)))
| join(join(X_720,meet(complement(X_720),X_676)),X_676) != join(X_720,join(meet(complement(X_720),X_676),X_676))
| join(join(X_720,meet(complement(X_720),X_676)),X_676) = join(X_720,join(X_676,meet(complement(X_720),X_676))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_720,meet(complement(X_720),X_676)),X_676))),bind(Y,$fot(join(X_720,join(meet(complement(X_720),X_676),X_676)))),bind(Z,$fot(join(X_720,join(X_676,meet(complement(X_720),X_676)))))]]) ).
cnf(refute_1_2976,plain,
( join(X_720,join(meet(complement(X_720),X_676),X_676)) != join(X_720,join(X_676,meet(complement(X_720),X_676)))
| join(join(X_720,meet(complement(X_720),X_676)),X_676) = join(X_720,join(X_676,meet(complement(X_720),X_676))) ),
inference(resolve,[$cnf( $equal(join(join(X_720,meet(complement(X_720),X_676)),X_676),join(X_720,join(meet(complement(X_720),X_676),X_676))) )],[refute_1_2974,refute_1_2975]) ).
cnf(refute_1_2977,plain,
join(join(X_720,meet(complement(X_720),X_676)),X_676) = join(X_720,join(X_676,meet(complement(X_720),X_676))),
inference(resolve,[$cnf( $equal(join(X_720,join(meet(complement(X_720),X_676),X_676)),join(X_720,join(X_676,meet(complement(X_720),X_676)))) )],[refute_1_2973,refute_1_2976]) ).
cnf(refute_1_2978,plain,
join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(join(X_720,meet(complement(X_720),X_676)),X_676),
inference(subst,[],[refute_1_891:[bind(X_758,$fot(join(X_720,meet(complement(X_720),X_676))))]]) ).
cnf(refute_1_2979,plain,
( join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) != join(join(X_720,meet(complement(X_720),X_676)),X_676)
| join(join(X_720,meet(complement(X_720),X_676)),X_676) != join(X_720,join(X_676,meet(complement(X_720),X_676)))
| join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(X_720,join(X_676,meet(complement(X_720),X_676))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))))),bind(Y,$fot(join(join(X_720,meet(complement(X_720),X_676)),X_676))),bind(Z,$fot(join(X_720,join(X_676,meet(complement(X_720),X_676)))))]]) ).
cnf(refute_1_2980,plain,
( join(join(X_720,meet(complement(X_720),X_676)),X_676) != join(X_720,join(X_676,meet(complement(X_720),X_676)))
| join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(X_720,join(X_676,meet(complement(X_720),X_676))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))),join(join(X_720,meet(complement(X_720),X_676)),X_676)) )],[refute_1_2978,refute_1_2979]) ).
cnf(refute_1_2981,plain,
join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(X_720,join(X_676,meet(complement(X_720),X_676))),
inference(resolve,[$cnf( $equal(join(join(X_720,meet(complement(X_720),X_676)),X_676),join(X_720,join(X_676,meet(complement(X_720),X_676)))) )],[refute_1_2977,refute_1_2980]) ).
cnf(refute_1_2982,plain,
( join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) != join(X_720,join(X_676,meet(complement(X_720),X_676)))
| join(X_720,join(X_676,meet(complement(X_720),X_676))) != join(X_720,X_676)
| join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(X_720,X_676) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))))),bind(Y,$fot(join(X_720,join(X_676,meet(complement(X_720),X_676))))),bind(Z,$fot(join(X_720,X_676)))]]) ).
cnf(refute_1_2983,plain,
( join(X_720,join(X_676,meet(complement(X_720),X_676))) != join(X_720,X_676)
| join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(X_720,X_676) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))),join(X_720,join(X_676,meet(complement(X_720),X_676)))) )],[refute_1_2981,refute_1_2982]) ).
cnf(refute_1_2984,plain,
join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) = join(X_720,X_676),
inference(resolve,[$cnf( $equal(join(X_720,join(X_676,meet(complement(X_720),X_676))),join(X_720,X_676)) )],[refute_1_2972,refute_1_2983]) ).
cnf(refute_1_2985,plain,
( join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))) != join(X_720,X_676)
| join(X_720,meet(complement(X_720),X_676)) != join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))
| join(X_720,meet(complement(X_720),X_676)) = join(X_720,X_676) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_720,meet(complement(X_720),X_676)),join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))) ),[1],$fot(join(X_720,X_676))]]) ).
cnf(refute_1_2986,plain,
( join(X_720,meet(complement(X_720),X_676)) != join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))
| join(X_720,meet(complement(X_720),X_676)) = join(X_720,X_676) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676)))))),join(X_720,X_676)) )],[refute_1_2984,refute_1_2985]) ).
cnf(refute_1_2987,plain,
join(X_720,meet(complement(X_720),X_676)) = join(X_720,X_676),
inference(resolve,[$cnf( $equal(join(X_720,meet(complement(X_720),X_676)),join(X_676,complement(join(X_676,complement(join(X_720,meet(complement(X_720),X_676))))))) )],[refute_1_2961,refute_1_2986]) ).
cnf(refute_1_2988,plain,
join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_720,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_2989,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2990,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2988,refute_1_2989]) ).
cnf(refute_1_2991,plain,
join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2899,refute_1_2990]) ).
cnf(refute_1_2992,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[0],$fot(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_2993,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2991,refute_1_2992]) ).
cnf(refute_1_2994,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(complement(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_2898,refute_1_2993]) ).
cnf(refute_1_2995,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_2996,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_2994,refute_1_2995]) ).
cnf(refute_1_2997,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_2998,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_2996,refute_1_2997]) ).
cnf(refute_1_2999,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_2839,refute_1_2998]) ).
cnf(refute_1_3000,plain,
join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_735,$fot(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3001,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_593,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3002,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3003,plain,
( join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3001,refute_1_3002]) ).
cnf(refute_1_3004,plain,
converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3000,refute_1_3003]) ).
cnf(refute_1_3005,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3006,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3004,refute_1_3005]) ).
cnf(refute_1_3007,plain,
converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3008,plain,
( converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3009,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3007,refute_1_3008]) ).
cnf(refute_1_3010,plain,
( converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3006,refute_1_3009]) ).
cnf(refute_1_3011,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_2999,refute_1_3010]) ).
cnf(refute_1_3012,plain,
( converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3013,plain,
( converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3011,refute_1_3012]) ).
cnf(refute_1_3014,plain,
converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_2838,refute_1_3013]) ).
cnf(refute_1_3015,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_539:[bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3016,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,1,0,0,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_3017,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_3016]) ).
cnf(refute_1_3018,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_3015,refute_1_3017]) ).
cnf(refute_1_3019,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3020,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3018,refute_1_3019]) ).
cnf(refute_1_3021,plain,
meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_602,$fot(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3022,plain,
( meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3023,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3021,refute_1_3022]) ).
cnf(refute_1_3024,plain,
meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3020,refute_1_3023]) ).
cnf(refute_1_3025,plain,
( converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),[0],$fot(meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3026,plain,
( converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3024,refute_1_3025]) ).
cnf(refute_1_3027,plain,
converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3014,refute_1_3026]) ).
cnf(refute_1_3028,plain,
( converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| converse(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[0,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3029,plain,
( converse(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3027,refute_1_3028]) ).
cnf(refute_1_3030,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2837,refute_1_3029]) ).
cnf(refute_1_3031,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3032,plain,
complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3030,refute_1_3031]) ).
cnf(refute_1_3033,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3034,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3035,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3033,refute_1_3034]) ).
cnf(refute_1_3036,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3032,refute_1_3035]) ).
cnf(refute_1_3037,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != one
| join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_1_3038,plain,
( join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != one
| join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = one ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3036,refute_1_3037]) ).
cnf(refute_1_3039,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = one,
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),one) )],[refute_1_2836,refute_1_3038]) ).
cnf(refute_1_3040,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3041,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != one
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_3042,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != one
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),one) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3040,refute_1_3041]) ).
cnf(refute_1_3043,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(one),one),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),one) )],[refute_1_3039,refute_1_3042]) ).
cnf(refute_1_3044,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != join(complement(one),one)
| join(complement(one),one) != top
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(Y,$fot(join(complement(one),one))),bind(Z,$fot(top))]]) ).
cnf(refute_1_3045,plain,
( join(complement(one),one) != top
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(one),one)) )],[refute_1_3043,refute_1_3044]) ).
cnf(refute_1_3046,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(join(complement(one),one),top) )],[refute_1_2783,refute_1_3045]) ).
cnf(refute_1_3047,plain,
complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3048,plain,
( complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != top
| complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_3049,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != top
| complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) )],[refute_1_3047,refute_1_3048]) ).
cnf(refute_1_3050,plain,
complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),top) )],[refute_1_3046,refute_1_3049]) ).
cnf(refute_1_3051,plain,
( complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != complement(top)
| complement(top) != zero
| complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_3052,plain,
( complement(top) != zero
| complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),complement(top)) )],[refute_1_3050,refute_1_3051]) ).
cnf(refute_1_3053,plain,
complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_3052]) ).
cnf(refute_1_3054,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))]]) ).
cnf(refute_1_3055,plain,
( complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != zero
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(converse(skolemFOFtoCNF_X0_1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_3056,plain,
( complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) != zero
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(converse(skolemFOFtoCNF_X0_1),zero) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) )],[refute_1_3054,refute_1_3055]) ).
cnf(refute_1_3057,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = join(converse(skolemFOFtoCNF_X0_1),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))),zero) )],[refute_1_3053,refute_1_3056]) ).
cnf(refute_1_3058,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != join(converse(skolemFOFtoCNF_X0_1),zero)
| join(converse(skolemFOFtoCNF_X0_1),zero) != converse(skolemFOFtoCNF_X0_1)
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = converse(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0_1),zero))),bind(Z,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3059,plain,
( join(converse(skolemFOFtoCNF_X0_1),zero) != converse(skolemFOFtoCNF_X0_1)
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = converse(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),join(converse(skolemFOFtoCNF_X0_1),zero)) )],[refute_1_3057,refute_1_3058]) ).
cnf(refute_1_3060,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) = converse(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),zero),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_2706,refute_1_3059]) ).
cnf(refute_1_3061,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))))]]) ).
cnf(refute_1_3062,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != converse(skolemFOFtoCNF_X0_1)
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_3063,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))) != converse(skolemFOFtoCNF_X0_1)
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))) )],[refute_1_3061,refute_1_3062]) ).
cnf(refute_1_3064,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_3060,refute_1_3063]) ).
cnf(refute_1_3065,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),[0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))))]]) ).
cnf(refute_1_3066,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_3064,refute_1_3065]) ).
cnf(refute_1_3067,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))))) )],[refute_1_2701,refute_1_3066]) ).
cnf(refute_1_3068,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| join(complement(one),converse(skolemFOFtoCNF_X0_1)) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3069,plain,
join(complement(one),converse(skolemFOFtoCNF_X0_1)) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_3067,refute_1_3068]) ).
cnf(refute_1_3070,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3071,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_3072,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_3070,refute_1_3071]) ).
cnf(refute_1_3073,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_3069,refute_1_3072]) ).
cnf(refute_1_3074,plain,
( converse(skolemFOFtoCNF_X0_1) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(skolemFOFtoCNF_X0_1) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0_1),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[0],$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3075,plain,
( converse(skolemFOFtoCNF_X0_1) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3073,refute_1_3074]) ).
cnf(refute_1_3076,plain,
converse(skolemFOFtoCNF_X0_1) = meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_2677,refute_1_3075]) ).
cnf(refute_1_3077,plain,
( converse(skolemFOFtoCNF_X0_1) != meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3078,plain,
meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3076,refute_1_3077]) ).
cnf(refute_1_3079,plain,
complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3080,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(skolemFOFtoCNF_X0_1)
| complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_3081,plain,
( meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(skolemFOFtoCNF_X0_1)
| complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3079,refute_1_3080]) ).
cnf(refute_1_3082,plain,
complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_3078,refute_1_3081]) ).
cnf(refute_1_3083,plain,
meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3084,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(converse(skolemFOFtoCNF_X0_1))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3085,plain,
( complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(converse(skolemFOFtoCNF_X0_1))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3083,refute_1_3084]) ).
cnf(refute_1_3086,plain,
meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_3082,refute_1_3085]) ).
cnf(refute_1_3087,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(converse(skolemFOFtoCNF_X0_1)))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3088,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_3086,refute_1_3087]) ).
cnf(refute_1_3089,plain,
( complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3090,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3032,refute_1_3089]) ).
cnf(refute_1_3091,plain,
( meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3088,refute_1_3090]) ).
cnf(refute_1_3092,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0_1))) = converse(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2533,refute_1_3091]) ).
cnf(refute_1_3093,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3094,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3095,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_3093,refute_1_3094]) ).
cnf(refute_1_3096,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3092,refute_1_3095]) ).
cnf(refute_1_3097,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3098,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_3099,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_3097,refute_1_3098]) ).
cnf(refute_1_3100,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_3069,refute_1_3099]) ).
cnf(refute_1_3101,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_3102,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_3100,refute_1_3101]) ).
cnf(refute_1_3103,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3096,refute_1_3102]) ).
cnf(refute_1_3104,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| zero != meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| zero = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) ),[1],$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3105,plain,
( zero != meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| zero = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3103,refute_1_3104]) ).
cnf(refute_1_3106,plain,
zero = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(one),converse(skolemFOFtoCNF_X0_1)),meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_2357,refute_1_3105]) ).
cnf(refute_1_3107,plain,
( zero != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_3108,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3106,refute_1_3107]) ).
cnf(refute_1_3109,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_602,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3110,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != zero
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_3111,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != zero
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3109,refute_1_3110]) ).
cnf(refute_1_3112,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),zero) )],[refute_1_3108,refute_1_3111]) ).
cnf(refute_1_3113,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3114,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_3115,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_3113,refute_1_3114]) ).
cnf(refute_1_3116,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_3069,refute_1_3115]) ).
cnf(refute_1_3117,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != zero
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_3118,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != zero
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3116,refute_1_3117]) ).
cnf(refute_1_3119,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),zero) )],[refute_1_3112,refute_1_3118]) ).
cnf(refute_1_3120,plain,
converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3121,plain,
( converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != zero
| converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_3122,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) != zero
| converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_3120,refute_1_3121]) ).
cnf(refute_1_3123,plain,
converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_3119,refute_1_3122]) ).
cnf(refute_1_3124,plain,
( converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != converse(zero)
| converse(zero) != zero
| converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_3125,plain,
( converse(zero) != zero
| converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),converse(zero)) )],[refute_1_3123,refute_1_3124]) ).
cnf(refute_1_3126,plain,
converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_1_1596,refute_1_3125]) ).
cnf(refute_1_3127,plain,
join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0),
introduced(tautology,[refl,[$fot(join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))]]) ).
cnf(refute_1_3128,plain,
( converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != zero
| join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) != join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)
| join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = join(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0),join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_3129,plain,
( converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))) != zero
| join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = join(zero,X0) ),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0),join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) )],[refute_1_3127,refute_1_3128]) ).
cnf(refute_1_3130,plain,
join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = join(zero,X0),
inference(resolve,[$cnf( $equal(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),zero) )],[refute_1_3126,refute_1_3129]) ).
cnf(refute_1_3131,plain,
( join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) != join(zero,X0)
| join(zero,X0) != X0
| join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = X0 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))),bind(Y,$fot(join(zero,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_1_3132,plain,
( join(zero,X0) != X0
| join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = X0 ),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0),join(zero,X0)) )],[refute_1_3130,refute_1_3131]) ).
cnf(refute_1_3133,plain,
join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) = X0,
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_1_2349,refute_1_3132]) ).
cnf(refute_1_3134,plain,
join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),
introduced(tautology,[refl,[$fot(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)))]]) ).
cnf(refute_1_3135,plain,
( join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) != X0
| join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) != join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))
| join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_3136,plain,
( join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0) != X0
| join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0))) )],[refute_1_3134,refute_1_3135]) ).
cnf(refute_1_3137,plain,
join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0),X0) )],[refute_1_3133,refute_1_3136]) ).
cnf(refute_1_3138,plain,
( join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) != join(X0,one)
| join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) != join(one,X0)
| join(one,X0) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),join(X0,one)) ),[0],$fot(join(one,X0))]]) ).
cnf(refute_1_3139,plain,
( join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)) != join(X0,one)
| join(one,X0) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),join(one,X0)) )],[refute_1_3137,refute_1_3138]) ).
cnf(refute_1_3140,plain,
join(one,X0) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),converse(skolemFOFtoCNF_X0_1)))),X0)),join(X0,one)) )],[refute_1_2348,refute_1_3139]) ).
cnf(refute_1_3141,plain,
( join(one,X0) != join(X0,one)
| join(X0,one) = join(one,X0) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,X0))),bind(Y,$fot(join(X0,one)))]]) ).
cnf(refute_1_3142,plain,
join(X0,one) = join(one,X0),
inference(resolve,[$cnf( $equal(join(one,X0),join(X0,one)) )],[refute_1_3140,refute_1_3141]) ).
cnf(refute_1_3143,plain,
join(composition(skolemFOFtoCNF_X0_1,top),one) = join(one,composition(skolemFOFtoCNF_X0_1,top)),
inference(subst,[],[refute_1_3142:[bind(X0,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_3144,plain,
join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730))) = join(one,join(X0,X_730)),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(join(X0,X_730)))]]) ).
cnf(refute_1_3145,plain,
join(join(X0,X1),join(one,X_884)) = join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))),
inference(subst,[],[refute_1_2726:[bind(X0,$fot(join(X0,X1))),bind(X_730,$fot(X_884))]]) ).
cnf(refute_1_3146,plain,
join(X0,join(X1,join(one,X_884))) = join(join(X0,X1),join(one,X_884)),
inference(subst,[],[refute_1_46:[bind(X2,$fot(join(one,X_884)))]]) ).
cnf(refute_1_3147,plain,
( join(X0,join(X1,join(one,X_884))) != join(join(X0,X1),join(one,X_884))
| join(join(X0,X1),join(one,X_884)) = join(X0,join(X1,join(one,X_884))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X1,join(one,X_884))))),bind(Y,$fot(join(join(X0,X1),join(one,X_884))))]]) ).
cnf(refute_1_3148,plain,
join(join(X0,X1),join(one,X_884)) = join(X0,join(X1,join(one,X_884))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(one,X_884))),join(join(X0,X1),join(one,X_884))) )],[refute_1_3146,refute_1_3147]) ).
cnf(refute_1_3149,plain,
( join(join(X0,X1),join(one,X_884)) != join(X0,join(X1,join(one,X_884)))
| join(join(X0,X1),join(one,X_884)) != join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))
| join(X0,join(X1,join(one,X_884))) = join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X0,X1),join(one,X_884)),join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))) ),[0],$fot(join(X0,join(X1,join(one,X_884))))]]) ).
cnf(refute_1_3150,plain,
( join(join(X0,X1),join(one,X_884)) != join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))
| join(X0,join(X1,join(one,X_884))) = join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(one,X_884)),join(X0,join(X1,join(one,X_884)))) )],[refute_1_3148,refute_1_3149]) ).
cnf(refute_1_3151,plain,
join(X0,join(X1,join(one,X_884))) = join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(one,X_884)),join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))) )],[refute_1_3145,refute_1_3150]) ).
cnf(refute_1_3152,plain,
join(join(X0,X1),X_884) = join(X0,join(X1,X_884)),
inference(subst,[],[refute_1_62:[bind(X2,$fot(X_884))]]) ).
cnf(refute_1_3153,plain,
join(one,join(join(X0,X1),X_884)) = join(one,join(join(X0,X1),X_884)),
introduced(tautology,[refl,[$fot(join(one,join(join(X0,X1),X_884)))]]) ).
cnf(refute_1_3154,plain,
( join(join(X0,X1),X_884) != join(X0,join(X1,X_884))
| join(one,join(join(X0,X1),X_884)) != join(one,join(join(X0,X1),X_884))
| join(one,join(join(X0,X1),X_884)) = join(one,join(X0,join(X1,X_884))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X0,X1),X_884)),join(one,join(join(X0,X1),X_884))) ),[1,1],$fot(join(X0,join(X1,X_884)))]]) ).
cnf(refute_1_3155,plain,
( join(join(X0,X1),X_884) != join(X0,join(X1,X_884))
| join(one,join(join(X0,X1),X_884)) = join(one,join(X0,join(X1,X_884))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X0,X1),X_884)),join(one,join(join(X0,X1),X_884))) )],[refute_1_3153,refute_1_3154]) ).
cnf(refute_1_3156,plain,
join(one,join(join(X0,X1),X_884)) = join(one,join(X0,join(X1,X_884))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_884),join(X0,join(X1,X_884))) )],[refute_1_3152,refute_1_3155]) ).
cnf(refute_1_3157,plain,
join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))) = join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)),
inference(subst,[],[refute_1_46:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X2,$fot(join(one,X_884)))]]) ).
cnf(refute_1_3158,plain,
join(X1,join(one,X_884)) = join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))),
inference(subst,[],[refute_1_2726:[bind(X0,$fot(X1)),bind(X_730,$fot(X_884))]]) ).
cnf(refute_1_3159,plain,
( join(X1,join(one,X_884)) != join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884)))
| join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))) = join(X1,join(one,X_884)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X1,join(one,X_884)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884)))))]]) ).
cnf(refute_1_3160,plain,
join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))) = join(X1,join(one,X_884)),
inference(resolve,[$cnf( $equal(join(X1,join(one,X_884)),join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884)))) )],[refute_1_3158,refute_1_3159]) ).
cnf(refute_1_3161,plain,
( join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))) != join(X1,join(one,X_884))
| join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))) != join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))
| join(X1,join(one,X_884)) = join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))),join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))) ),[0],$fot(join(X1,join(one,X_884)))]]) ).
cnf(refute_1_3162,plain,
( join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))) != join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))
| join(X1,join(one,X_884)) = join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))),join(X1,join(one,X_884))) )],[refute_1_3160,refute_1_3161]) ).
cnf(refute_1_3163,plain,
join(X1,join(one,X_884)) = join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X1,join(one,X_884))),join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))) )],[refute_1_3157,refute_1_3162]) ).
cnf(refute_1_3164,plain,
join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))) = join(one,join(X1,X_884)),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(join(X1,X_884)))]]) ).
cnf(refute_1_3165,plain,
join(join(skolemFOFtoCNF_X0_1,X1),X_884) = join(skolemFOFtoCNF_X0_1,join(X1,X_884)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X2,$fot(X_884))]]) ).
cnf(refute_1_3166,plain,
join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)),
introduced(tautology,[refl,[$fot(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)))]]) ).
cnf(refute_1_3167,plain,
( join(join(skolemFOFtoCNF_X0_1,X1),X_884) != join(skolemFOFtoCNF_X0_1,join(X1,X_884))
| join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) != join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884))
| join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)),join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,join(X1,X_884)))]]) ).
cnf(refute_1_3168,plain,
( join(join(skolemFOFtoCNF_X0_1,X1),X_884) != join(skolemFOFtoCNF_X0_1,join(X1,X_884))
| join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)),join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884))) )],[refute_1_3166,refute_1_3167]) ).
cnf(refute_1_3169,plain,
join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,X1),X_884),join(skolemFOFtoCNF_X0_1,join(X1,X_884))) )],[refute_1_3165,refute_1_3168]) ).
cnf(refute_1_3170,plain,
( join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) != join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884)))
| join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))) != join(one,join(X1,X_884))
| join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(X1,X_884)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))))),bind(Z,$fot(join(one,join(X1,X_884))))]]) ).
cnf(refute_1_3171,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))) != join(one,join(X1,X_884))
| join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(X1,X_884)) ),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)),join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884)))) )],[refute_1_3169,refute_1_3170]) ).
cnf(refute_1_3172,plain,
join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) = join(one,join(X1,X_884)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,join(X1,X_884))),join(one,join(X1,X_884))) )],[refute_1_3164,refute_1_3171]) ).
cnf(refute_1_3173,plain,
join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) = join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(one)),bind(X_728,$fot(join(skolemFOFtoCNF_X0_1,X1))),bind(X_729,$fot(X_884))]]) ).
cnf(refute_1_3174,plain,
( join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) != join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884))
| join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) != join(one,join(X1,X_884))
| join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) = join(one,join(X1,X_884)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)))),bind(Y,$fot(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)))),bind(Z,$fot(join(one,join(X1,X_884))))]]) ).
cnf(refute_1_3175,plain,
( join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)) != join(one,join(X1,X_884))
| join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) = join(one,join(X1,X_884)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)),join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884))) )],[refute_1_3173,refute_1_3174]) ).
cnf(refute_1_3176,plain,
join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) = join(one,join(X1,X_884)),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0_1,X1),X_884)),join(one,join(X1,X_884))) )],[refute_1_3172,refute_1_3175]) ).
cnf(refute_1_3177,plain,
( join(X1,join(one,X_884)) != join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))
| join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)) != join(one,join(X1,X_884))
| join(X1,join(one,X_884)) = join(one,join(X1,X_884)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(one,X_884)),join(one,join(X1,X_884))) ),[0],$fot(join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)))]]) ).
cnf(refute_1_3178,plain,
( join(X1,join(one,X_884)) != join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))
| join(X1,join(one,X_884)) = join(one,join(X1,X_884)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884)),join(one,join(X1,X_884))) )],[refute_1_3176,refute_1_3177]) ).
cnf(refute_1_3179,plain,
join(X1,join(one,X_884)) = join(one,join(X1,X_884)),
inference(resolve,[$cnf( $equal(join(X1,join(one,X_884)),join(join(skolemFOFtoCNF_X0_1,X1),join(one,X_884))) )],[refute_1_3163,refute_1_3178]) ).
cnf(refute_1_3180,plain,
join(join(X0,X1),join(one,X_884)) = join(one,join(join(X0,X1),X_884)),
inference(subst,[],[refute_1_3179:[bind(X1,$fot(join(X0,X1)))]]) ).
cnf(refute_1_3181,plain,
( join(X0,join(one,X_730)) != join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))
| join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) = join(X0,join(one,X_730)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(one,X_730)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))))]]) ).
cnf(refute_1_3182,plain,
join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) = join(X0,join(one,X_730)),
inference(resolve,[$cnf( $equal(join(X0,join(one,X_730)),join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))) )],[refute_1_2726,refute_1_3181]) ).
cnf(refute_1_3183,plain,
join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(join(X0,X1),join(one,X_884)),
inference(subst,[],[refute_1_3182:[bind(X0,$fot(join(X0,X1))),bind(X_730,$fot(X_884))]]) ).
cnf(refute_1_3184,plain,
( join(join(X0,X1),join(one,X_884)) != join(one,join(join(X0,X1),X_884))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) != join(join(X0,X1),join(one,X_884))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(one,join(join(X0,X1),X_884)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))))),bind(Y,$fot(join(join(X0,X1),join(one,X_884)))),bind(Z,$fot(join(one,join(join(X0,X1),X_884))))]]) ).
cnf(refute_1_3185,plain,
( join(join(X0,X1),join(one,X_884)) != join(one,join(join(X0,X1),X_884))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(one,join(join(X0,X1),X_884)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))),join(join(X0,X1),join(one,X_884))) )],[refute_1_3183,refute_1_3184]) ).
cnf(refute_1_3186,plain,
join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(one,join(join(X0,X1),X_884)),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(one,X_884)),join(one,join(join(X0,X1),X_884))) )],[refute_1_3180,refute_1_3185]) ).
cnf(refute_1_3187,plain,
( join(one,join(join(X0,X1),X_884)) != join(one,join(X0,join(X1,X_884)))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) != join(one,join(join(X0,X1),X_884))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(one,join(X0,join(X1,X_884))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))))),bind(Y,$fot(join(one,join(join(X0,X1),X_884)))),bind(Z,$fot(join(one,join(X0,join(X1,X_884)))))]]) ).
cnf(refute_1_3188,plain,
( join(one,join(join(X0,X1),X_884)) != join(one,join(X0,join(X1,X_884)))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(one,join(X0,join(X1,X_884))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))),join(one,join(join(X0,X1),X_884))) )],[refute_1_3186,refute_1_3187]) ).
cnf(refute_1_3189,plain,
join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) = join(one,join(X0,join(X1,X_884))),
inference(resolve,[$cnf( $equal(join(one,join(join(X0,X1),X_884)),join(one,join(X0,join(X1,X_884)))) )],[refute_1_3156,refute_1_3188]) ).
cnf(refute_1_3190,plain,
( join(X0,join(X1,join(one,X_884))) != join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))
| join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))) != join(one,join(X0,join(X1,X_884)))
| join(X0,join(X1,join(one,X_884))) = join(one,join(X0,join(X1,X_884))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(one,X_884))),join(one,join(X0,join(X1,X_884)))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))))]]) ).
cnf(refute_1_3191,plain,
( join(X0,join(X1,join(one,X_884))) != join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))
| join(X0,join(X1,join(one,X_884))) = join(one,join(X0,join(X1,X_884))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884))),join(one,join(X0,join(X1,X_884)))) )],[refute_1_3189,refute_1_3190]) ).
cnf(refute_1_3192,plain,
join(X0,join(X1,join(one,X_884))) = join(one,join(X0,join(X1,X_884))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(one,X_884))),join(skolemFOFtoCNF_X0_1,join(join(X0,X1),join(one,X_884)))) )],[refute_1_3151,refute_1_3191]) ).
cnf(refute_1_3193,plain,
join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) = join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730))),
inference(subst,[],[refute_1_3192:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(X0)),bind(X_884,$fot(X_730))]]) ).
cnf(refute_1_3194,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730))) != join(one,join(X0,X_730))
| join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) != join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730)))
| join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) = join(one,join(X0,X_730)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730))))),bind(Z,$fot(join(one,join(X0,X_730))))]]) ).
cnf(refute_1_3195,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730))) != join(one,join(X0,X_730))
| join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) = join(one,join(X0,X_730)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))),join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730)))) )],[refute_1_3193,refute_1_3194]) ).
cnf(refute_1_3196,plain,
join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) = join(one,join(X0,X_730)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,join(X0,X_730))),join(one,join(X0,X_730))) )],[refute_1_3144,refute_1_3195]) ).
cnf(refute_1_3197,plain,
( join(X0,join(one,X_730)) != join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))
| join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))) != join(one,join(X0,X_730))
| join(X0,join(one,X_730)) = join(one,join(X0,X_730)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(one,X_730)),join(one,join(X0,X_730))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))))]]) ).
cnf(refute_1_3198,plain,
( join(X0,join(one,X_730)) != join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))
| join(X0,join(one,X_730)) = join(one,join(X0,X_730)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730))),join(one,join(X0,X_730))) )],[refute_1_3196,refute_1_3197]) ).
cnf(refute_1_3199,plain,
join(X0,join(one,X_730)) = join(one,join(X0,X_730)),
inference(resolve,[$cnf( $equal(join(X0,join(one,X_730)),join(skolemFOFtoCNF_X0_1,join(X0,join(one,X_730)))) )],[refute_1_2726,refute_1_3198]) ).
cnf(refute_1_3200,plain,
join(X_1004,join(one,meet(one,X_675))) = join(one,join(X_1004,meet(one,X_675))),
inference(subst,[],[refute_1_3199:[bind(X0,$fot(X_1004)),bind(X_730,$fot(meet(one,X_675)))]]) ).
cnf(refute_1_3201,plain,
one = join(one,meet(one,X_675)),
inference(subst,[],[refute_1_1321:[bind(X_754,$fot(one))]]) ).
cnf(refute_1_3202,plain,
( one != join(one,meet(one,X_675))
| join(one,meet(one,X_675)) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,X_675))))]]) ).
cnf(refute_1_3203,plain,
join(one,meet(one,X_675)) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,X_675))) )],[refute_1_3201,refute_1_3202]) ).
cnf(refute_1_3204,plain,
( join(X_1004,join(one,meet(one,X_675))) != join(one,join(X_1004,meet(one,X_675)))
| join(one,meet(one,X_675)) != one
| join(X_1004,one) = join(one,join(X_1004,meet(one,X_675))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1004,join(one,meet(one,X_675))),join(one,join(X_1004,meet(one,X_675)))) ),[0,1],$fot(one)]]) ).
cnf(refute_1_3205,plain,
( join(X_1004,join(one,meet(one,X_675))) != join(one,join(X_1004,meet(one,X_675)))
| join(X_1004,one) = join(one,join(X_1004,meet(one,X_675))) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,X_675)),one) )],[refute_1_3203,refute_1_3204]) ).
cnf(refute_1_3206,plain,
join(X_1004,one) = join(one,join(X_1004,meet(one,X_675))),
inference(resolve,[$cnf( $equal(join(X_1004,join(one,meet(one,X_675))),join(one,join(X_1004,meet(one,X_675)))) )],[refute_1_3200,refute_1_3205]) ).
cnf(refute_1_3207,plain,
( join(X_1004,one) != join(one,join(X_1004,meet(one,X_675)))
| join(one,join(X_1004,meet(one,X_675))) = join(X_1004,one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_1004,one))),bind(Y,$fot(join(one,join(X_1004,meet(one,X_675)))))]]) ).
cnf(refute_1_3208,plain,
join(one,join(X_1004,meet(one,X_675))) = join(X_1004,one),
inference(resolve,[$cnf( $equal(join(X_1004,one),join(one,join(X_1004,meet(one,X_675)))) )],[refute_1_3206,refute_1_3207]) ).
cnf(refute_1_3209,plain,
join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(composition(skolemFOFtoCNF_X0_1,top),one),
inference(subst,[],[refute_1_3208:[bind(X_1004,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X_675,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3210,plain,
( join(composition(skolemFOFtoCNF_X0_1,top),one) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(composition(skolemFOFtoCNF_X0_1,top),one)
| join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(one,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0_1,top),one))),bind(Z,$fot(join(one,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_3211,plain,
( join(composition(skolemFOFtoCNF_X0_1,top),one) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(one,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(composition(skolemFOFtoCNF_X0_1,top),one)) )],[refute_1_3209,refute_1_3210]) ).
cnf(refute_1_3212,plain,
join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(one,composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0_1,top),one),join(one,composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_3143,refute_1_3211]) ).
cnf(refute_1_3213,plain,
complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3214,plain,
join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_3215,plain,
( complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_3216,plain,
( complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_3214,refute_1_3215]) ).
cnf(refute_1_3217,plain,
join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))),join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3213,refute_1_3216]) ).
cnf(refute_1_3218,plain,
( join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(join(one,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_3219,plain,
( join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3217,refute_1_3218]) ).
cnf(refute_1_3220,plain,
join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(one,composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(one,composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_3212,refute_1_3219]) ).
cnf(refute_1_3221,plain,
meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1989:[bind(X1,$fot(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_3222,plain,
( join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(one,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))),bind(Y,$fot(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(one,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_3223,plain,
( join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(one,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_3221,refute_1_3222]) ).
cnf(refute_1_3224,plain,
meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(one,composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(one,composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_3220,refute_1_3223]) ).
cnf(refute_1_3225,plain,
complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_3226,plain,
( complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))) ),[1,0],$fot(join(one,composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_3227,plain,
( meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(one,composition(skolemFOFtoCNF_X0_1,top))
| complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_3225,refute_1_3226]) ).
cnf(refute_1_3228,plain,
complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(one,composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_3224,refute_1_3227]) ).
cnf(refute_1_3229,plain,
join(complement(X_1010),complement(join(X_981,complement(X_979)))) = complement(meet(X_1010,join(X_981,complement(X_979)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_1010)),bind(X1,$fot(join(X_981,complement(X_979))))]]) ).
cnf(refute_1_3230,plain,
join(complement(X_601),complement(X_602)) = complement(meet(X_601,X_602)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_601)),bind(X1,$fot(X_602))]]) ).
cnf(refute_1_3231,plain,
meet(join(complement(X_601),complement(X_602)),X1) = meet(join(complement(X_601),complement(X_602)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_601),complement(X_602)),X1))]]) ).
cnf(refute_1_3232,plain,
( join(complement(X_601),complement(X_602)) != complement(meet(X_601,X_602))
| meet(join(complement(X_601),complement(X_602)),X1) != meet(join(complement(X_601),complement(X_602)),X1)
| meet(join(complement(X_601),complement(X_602)),X1) = meet(complement(meet(X_601,X_602)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),meet(join(complement(X_601),complement(X_602)),X1)) ),[1,0],$fot(complement(meet(X_601,X_602)))]]) ).
cnf(refute_1_3233,plain,
( join(complement(X_601),complement(X_602)) != complement(meet(X_601,X_602))
| meet(join(complement(X_601),complement(X_602)),X1) = meet(complement(meet(X_601,X_602)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),meet(join(complement(X_601),complement(X_602)),X1)) )],[refute_1_3231,refute_1_3232]) ).
cnf(refute_1_3234,plain,
meet(join(complement(X_601),complement(X_602)),X1) = meet(complement(meet(X_601,X_602)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_601),complement(X_602)),complement(meet(X_601,X_602))) )],[refute_1_3230,refute_1_3233]) ).
cnf(refute_1_3235,plain,
( meet(join(complement(X_601),complement(X_602)),X1) != complement(join(meet(X_601,X_602),complement(X1)))
| meet(join(complement(X_601),complement(X_602)),X1) != meet(complement(meet(X_601,X_602)),X1)
| meet(complement(meet(X_601,X_602)),X1) = complement(join(meet(X_601,X_602),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),complement(join(meet(X_601,X_602),complement(X1)))) ),[0],$fot(meet(complement(meet(X_601,X_602)),X1))]]) ).
cnf(refute_1_3236,plain,
( meet(join(complement(X_601),complement(X_602)),X1) != complement(join(meet(X_601,X_602),complement(X1)))
| meet(complement(meet(X_601,X_602)),X1) = complement(join(meet(X_601,X_602),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),meet(complement(meet(X_601,X_602)),X1)) )],[refute_1_3234,refute_1_3235]) ).
cnf(refute_1_3237,plain,
meet(complement(meet(X_601,X_602)),X1) = complement(join(meet(X_601,X_602),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_601),complement(X_602)),X1),complement(join(meet(X_601,X_602),complement(X1)))) )],[refute_1_286,refute_1_3236]) ).
cnf(refute_1_3238,plain,
meet(complement(meet(top,X_981)),X_979) = complement(join(meet(top,X_981),complement(X_979))),
inference(subst,[],[refute_1_3237:[bind(X1,$fot(X_979)),bind(X_601,$fot(top)),bind(X_602,$fot(X_981))]]) ).
cnf(refute_1_3239,plain,
meet(top,X_981) = X_981,
inference(subst,[],[refute_1_1989:[bind(X1,$fot(X_981))]]) ).
cnf(refute_1_3240,plain,
( meet(complement(meet(top,X_981)),X_979) != complement(join(meet(top,X_981),complement(X_979)))
| meet(top,X_981) != X_981
| meet(complement(meet(top,X_981)),X_979) = complement(join(X_981,complement(X_979))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),complement(join(meet(top,X_981),complement(X_979)))) ),[1,0,0],$fot(X_981)]]) ).
cnf(refute_1_3241,plain,
( meet(complement(meet(top,X_981)),X_979) != complement(join(meet(top,X_981),complement(X_979)))
| meet(complement(meet(top,X_981)),X_979) = complement(join(X_981,complement(X_979))) ),
inference(resolve,[$cnf( $equal(meet(top,X_981),X_981) )],[refute_1_3239,refute_1_3240]) ).
cnf(refute_1_3242,plain,
meet(complement(meet(top,X_981)),X_979) = complement(join(X_981,complement(X_979))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),complement(join(meet(top,X_981),complement(X_979)))) )],[refute_1_3238,refute_1_3241]) ).
cnf(refute_1_3243,plain,
complement(meet(top,X_981)) = complement(meet(top,X_981)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_981)))]]) ).
cnf(refute_1_3244,plain,
( complement(meet(top,X_981)) != complement(meet(top,X_981))
| meet(top,X_981) != X_981
| complement(meet(top,X_981)) = complement(X_981) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_981)),complement(meet(top,X_981))) ),[1,0],$fot(X_981)]]) ).
cnf(refute_1_3245,plain,
( meet(top,X_981) != X_981
| complement(meet(top,X_981)) = complement(X_981) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_981)),complement(meet(top,X_981))) )],[refute_1_3243,refute_1_3244]) ).
cnf(refute_1_3246,plain,
complement(meet(top,X_981)) = complement(X_981),
inference(resolve,[$cnf( $equal(meet(top,X_981),X_981) )],[refute_1_3239,refute_1_3245]) ).
cnf(refute_1_3247,plain,
meet(complement(meet(top,X_981)),X_979) = meet(complement(meet(top,X_981)),X_979),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_981)),X_979))]]) ).
cnf(refute_1_3248,plain,
( complement(meet(top,X_981)) != complement(X_981)
| meet(complement(meet(top,X_981)),X_979) != meet(complement(meet(top,X_981)),X_979)
| meet(complement(meet(top,X_981)),X_979) = meet(complement(X_981),X_979) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),meet(complement(meet(top,X_981)),X_979)) ),[1,0],$fot(complement(X_981))]]) ).
cnf(refute_1_3249,plain,
( complement(meet(top,X_981)) != complement(X_981)
| meet(complement(meet(top,X_981)),X_979) = meet(complement(X_981),X_979) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),meet(complement(meet(top,X_981)),X_979)) )],[refute_1_3247,refute_1_3248]) ).
cnf(refute_1_3250,plain,
meet(complement(meet(top,X_981)),X_979) = meet(complement(X_981),X_979),
inference(resolve,[$cnf( $equal(complement(meet(top,X_981)),complement(X_981)) )],[refute_1_3246,refute_1_3249]) ).
cnf(refute_1_3251,plain,
( meet(complement(meet(top,X_981)),X_979) != complement(join(X_981,complement(X_979)))
| meet(complement(meet(top,X_981)),X_979) != meet(complement(X_981),X_979)
| meet(complement(X_981),X_979) = complement(join(X_981,complement(X_979))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),complement(join(X_981,complement(X_979)))) ),[0],$fot(meet(complement(X_981),X_979))]]) ).
cnf(refute_1_3252,plain,
( meet(complement(meet(top,X_981)),X_979) != complement(join(X_981,complement(X_979)))
| meet(complement(X_981),X_979) = complement(join(X_981,complement(X_979))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),meet(complement(X_981),X_979)) )],[refute_1_3250,refute_1_3251]) ).
cnf(refute_1_3253,plain,
meet(complement(X_981),X_979) = complement(join(X_981,complement(X_979))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_981)),X_979),complement(join(X_981,complement(X_979)))) )],[refute_1_3242,refute_1_3252]) ).
cnf(refute_1_3254,plain,
( meet(complement(X_981),X_979) != complement(join(X_981,complement(X_979)))
| complement(join(X_981,complement(X_979))) = meet(complement(X_981),X_979) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(X_981),X_979))),bind(Y,$fot(complement(join(X_981,complement(X_979)))))]]) ).
cnf(refute_1_3255,plain,
complement(join(X_981,complement(X_979))) = meet(complement(X_981),X_979),
inference(resolve,[$cnf( $equal(meet(complement(X_981),X_979),complement(join(X_981,complement(X_979)))) )],[refute_1_3253,refute_1_3254]) ).
cnf(refute_1_3256,plain,
( complement(join(X_981,complement(X_979))) != meet(complement(X_981),X_979)
| join(complement(X_1010),complement(join(X_981,complement(X_979)))) != complement(meet(X_1010,join(X_981,complement(X_979))))
| join(complement(X_1010),meet(complement(X_981),X_979)) = complement(meet(X_1010,join(X_981,complement(X_979)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),complement(join(X_981,complement(X_979)))),complement(meet(X_1010,join(X_981,complement(X_979))))) ),[0,1],$fot(meet(complement(X_981),X_979))]]) ).
cnf(refute_1_3257,plain,
( join(complement(X_1010),complement(join(X_981,complement(X_979)))) != complement(meet(X_1010,join(X_981,complement(X_979))))
| join(complement(X_1010),meet(complement(X_981),X_979)) = complement(meet(X_1010,join(X_981,complement(X_979)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_981,complement(X_979))),meet(complement(X_981),X_979)) )],[refute_1_3255,refute_1_3256]) ).
cnf(refute_1_3258,plain,
join(complement(X_1010),meet(complement(X_981),X_979)) = complement(meet(X_1010,join(X_981,complement(X_979)))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),complement(join(X_981,complement(X_979)))),complement(meet(X_1010,join(X_981,complement(X_979))))) )],[refute_1_3229,refute_1_3257]) ).
cnf(refute_1_3259,plain,
join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_3258:[bind(X_1010,$fot(top)),bind(X_979,$fot(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X_981,$fot(one))]]) ).
cnf(refute_1_3260,plain,
( complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Z,$fot(complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_3261,plain,
( complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_3259,refute_1_3260]) ).
cnf(refute_1_3262,plain,
join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(one,complement(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_3228,refute_1_3261]) ).
cnf(refute_1_3263,plain,
( complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))
| complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))) ),[0],$fot(join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_3264,plain,
( complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_3262,refute_1_3263]) ).
cnf(refute_1_3265,plain,
complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(top),meet(complement(one),complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_1429,refute_1_3264]) ).
cnf(refute_1_3266,plain,
( complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_3267,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_3265,refute_1_3266]) ).
cnf(refute_1_3268,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(join(composition(skolemFOFtoCNF_X0_1,top),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_1114,refute_1_3267]) ).
cnf(refute_1_3269,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(skolemFOFtoCNF_X0_1,complement(one)) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_3270,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(one)) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_3269]) ).
cnf(refute_1_3271,plain,
meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_3272,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_3273,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_3271,refute_1_3272]) ).
cnf(refute_1_3274,plain,
meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_3273]) ).
cnf(refute_1_3275,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_3276,plain,
( join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_3277,plain,
( meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_3275,refute_1_3276]) ).
cnf(refute_1_3278,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_3274,refute_1_3277]) ).
cnf(refute_1_3279,plain,
( join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))
| join(skolemFOFtoCNF_X0_1,complement(one)) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(one)) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(one)),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1],$fot(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_3280,plain,
( join(skolemFOFtoCNF_X0_1,complement(one)) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(one)) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3278,refute_1_3279]) ).
cnf(refute_1_3281,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(one)) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(one)),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_3270,refute_1_3280]) ).
cnf(refute_1_3282,plain,
join(skolemFOFtoCNF_X0_1,complement(one)) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_3268,refute_1_3281]) ).
cnf(refute_1_3283,plain,
( join(skolemFOFtoCNF_X0_1,complement(one)) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(one)))),bind(Y,$fot(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3284,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(one)),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_3282,refute_1_3283]) ).
cnf(refute_1_3285,plain,
( complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| complement(join(skolemFOFtoCNF_X0_1,complement(one))) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))) ),[0,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_3286,plain,
( complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| complement(join(skolemFOFtoCNF_X0_1,complement(one))) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_3284,refute_1_3285]) ).
cnf(refute_1_3287,plain,
complement(join(skolemFOFtoCNF_X0_1,complement(one))) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1105,refute_1_3286]) ).
cnf(refute_1_3288,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))) ),[0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3289,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_3288]) ).
cnf(refute_1_3290,plain,
meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(one,composition(skolemFOFtoCNF_X0_1,top)))),bind(X_602,$fot(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3291,plain,
meet(complement(X_983),X_982) = complement(join(X_983,complement(X_982))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(X_982)),bind(X_981,$fot(X_983))]]) ).
cnf(refute_1_3292,plain,
join(complement(X_982),X_983) = join(X_983,complement(X_982)),
inference(subst,[],[refute_1_1:[bind(X0,$fot(complement(X_982))),bind(X1,$fot(X_983))]]) ).
cnf(refute_1_3293,plain,
( join(complement(X_982),X_983) != join(X_983,complement(X_982))
| join(X_983,complement(X_982)) = join(complement(X_982),X_983) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(X_982),X_983))),bind(Y,$fot(join(X_983,complement(X_982))))]]) ).
cnf(refute_1_3294,plain,
join(X_983,complement(X_982)) = join(complement(X_982),X_983),
inference(resolve,[$cnf( $equal(join(complement(X_982),X_983),join(X_983,complement(X_982))) )],[refute_1_3292,refute_1_3293]) ).
cnf(refute_1_3295,plain,
( join(X_983,complement(X_982)) != join(complement(X_982),X_983)
| meet(complement(X_983),X_982) != complement(join(X_983,complement(X_982)))
| meet(complement(X_983),X_982) = complement(join(complement(X_982),X_983)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_983),X_982),complement(join(X_983,complement(X_982)))) ),[1,0],$fot(join(complement(X_982),X_983))]]) ).
cnf(refute_1_3296,plain,
( meet(complement(X_983),X_982) != complement(join(X_983,complement(X_982)))
| meet(complement(X_983),X_982) = complement(join(complement(X_982),X_983)) ),
inference(resolve,[$cnf( $equal(join(X_983,complement(X_982)),join(complement(X_982),X_983)) )],[refute_1_3294,refute_1_3295]) ).
cnf(refute_1_3297,plain,
meet(complement(X_983),X_982) = complement(join(complement(X_982),X_983)),
inference(resolve,[$cnf( $equal(meet(complement(X_983),X_982),complement(join(X_983,complement(X_982)))) )],[refute_1_3291,refute_1_3296]) ).
cnf(refute_1_3298,plain,
( meet(complement(X_983),X_982) != complement(join(complement(X_982),X_983))
| complement(join(complement(X_982),X_983)) = meet(complement(X_983),X_982) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(X_983),X_982))),bind(Y,$fot(complement(join(complement(X_982),X_983))))]]) ).
cnf(refute_1_3299,plain,
complement(join(complement(X_982),X_983)) = meet(complement(X_983),X_982),
inference(resolve,[$cnf( $equal(meet(complement(X_983),X_982),complement(join(complement(X_982),X_983))) )],[refute_1_3297,refute_1_3298]) ).
cnf(refute_1_3300,plain,
complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top))),
inference(subst,[],[refute_1_3299:[bind(X_982,$fot(join(one,composition(skolemFOFtoCNF_X0_1,top)))),bind(X_983,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_3301,plain,
( complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top)))
| meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top))) != meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Y,$fot(meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top))))),bind(Z,$fot(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3302,plain,
( meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top))) != meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_3300,refute_1_3301]) ).
cnf(refute_1_3303,plain,
complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3290,refute_1_3302]) ).
cnf(refute_1_3304,plain,
join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))))))) = complement(converse(X_1254)),
inference(subst,[],[refute_1_1037:[bind(X0,$fot(X_1254)),bind(X1,$fot(converse(composition(complement(composition(top,composition(X_1254,top))),top))))]]) ).
cnf(refute_1_3305,plain,
join(complement(top),composition(converse(X_616),complement(composition(X_616,top)))) = complement(top),
inference(subst,[],[refute_1_73:[bind(X0,$fot(X_616)),bind(X1,$fot(top))]]) ).
cnf(refute_1_3306,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_616),complement(composition(X_616,top)))) != complement(top)
| join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_616),complement(composition(X_616,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_1_3307,plain,
( join(complement(top),composition(converse(X_616),complement(composition(X_616,top)))) != complement(top)
| join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_3306]) ).
cnf(refute_1_3308,plain,
join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_616),complement(composition(X_616,top)))),complement(top)) )],[refute_1_3305,refute_1_3307]) ).
cnf(refute_1_3309,plain,
( complement(top) != zero
| join(zero,composition(converse(X_616),complement(composition(X_616,top)))) != complement(top)
| join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_616),complement(composition(X_616,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_3310,plain,
( join(zero,composition(converse(X_616),complement(composition(X_616,top)))) != complement(top)
| join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_3309]) ).
cnf(refute_1_3311,plain,
join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_616),complement(composition(X_616,top)))),complement(top)) )],[refute_1_3308,refute_1_3310]) ).
cnf(refute_1_3312,plain,
join(zero,composition(converse(composition(X_595,converse(X0))),complement(composition(composition(X_595,converse(X0)),top)))) = zero,
inference(subst,[],[refute_1_3311:[bind(X_616,$fot(composition(X_595,converse(X0))))]]) ).
cnf(refute_1_3313,plain,
( converse(composition(X_595,converse(X0))) != composition(X0,converse(X_595))
| join(zero,composition(converse(composition(X_595,converse(X0))),complement(composition(composition(X_595,converse(X0)),top)))) != zero
| join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(X_595,converse(X0))),complement(composition(composition(X_595,converse(X0)),top)))),zero) ),[0,1,0],$fot(composition(X0,converse(X_595)))]]) ).
cnf(refute_1_3314,plain,
( join(zero,composition(converse(composition(X_595,converse(X0))),complement(composition(composition(X_595,converse(X0)),top)))) != zero
| join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(X_595,converse(X0))),composition(X0,converse(X_595))) )],[refute_1_161,refute_1_3313]) ).
cnf(refute_1_3315,plain,
join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_595,converse(X0))),complement(composition(composition(X_595,converse(X0)),top)))),zero) )],[refute_1_3312,refute_1_3314]) ).
cnf(refute_1_3316,plain,
composition(composition(X_595,converse(X0)),top) = composition(X_595,composition(converse(X0),top)),
inference(subst,[],[refute_1_235:[bind(X0,$fot(X_595)),bind(X1,$fot(converse(X0))),bind(X2,$fot(top))]]) ).
cnf(refute_1_3317,plain,
complement(composition(composition(X_595,converse(X0)),top)) = complement(composition(composition(X_595,converse(X0)),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(X_595,converse(X0)),top)))]]) ).
cnf(refute_1_3318,plain,
( complement(composition(composition(X_595,converse(X0)),top)) != complement(composition(composition(X_595,converse(X0)),top))
| composition(composition(X_595,converse(X0)),top) != composition(X_595,composition(converse(X0),top))
| complement(composition(composition(X_595,converse(X0)),top)) = complement(composition(X_595,composition(converse(X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(X_595,converse(X0)),top)),complement(composition(composition(X_595,converse(X0)),top))) ),[1,0],$fot(composition(X_595,composition(converse(X0),top)))]]) ).
cnf(refute_1_3319,plain,
( composition(composition(X_595,converse(X0)),top) != composition(X_595,composition(converse(X0),top))
| complement(composition(composition(X_595,converse(X0)),top)) = complement(composition(X_595,composition(converse(X0),top))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_595,converse(X0)),top)),complement(composition(composition(X_595,converse(X0)),top))) )],[refute_1_3317,refute_1_3318]) ).
cnf(refute_1_3320,plain,
complement(composition(composition(X_595,converse(X0)),top)) = complement(composition(X_595,composition(converse(X0),top))),
inference(resolve,[$cnf( $equal(composition(composition(X_595,converse(X0)),top),composition(X_595,composition(converse(X0),top))) )],[refute_1_3316,refute_1_3319]) ).
cnf(refute_1_3321,plain,
composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) = composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))),
introduced(tautology,[refl,[$fot(composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))))]]) ).
cnf(refute_1_3322,plain,
( complement(composition(composition(X_595,converse(X0)),top)) != complement(composition(X_595,composition(converse(X0),top)))
| composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) != composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))
| composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) = composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))),composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) ),[1,1],$fot(complement(composition(X_595,composition(converse(X0),top))))]]) ).
cnf(refute_1_3323,plain,
( complement(composition(composition(X_595,converse(X0)),top)) != complement(composition(X_595,composition(converse(X0),top)))
| composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) = composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))),composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) )],[refute_1_3321,refute_1_3322]) ).
cnf(refute_1_3324,plain,
composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) = composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_595,converse(X0)),top)),complement(composition(X_595,composition(converse(X0),top)))) )],[refute_1_3320,refute_1_3323]) ).
cnf(refute_1_3325,plain,
composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) = composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))))]]) ).
cnf(refute_1_3326,plain,
( composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) != composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))))
| composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) != composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))
| composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))),composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))))) ),[1,1],$fot(composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))]]) ).
cnf(refute_1_3327,plain,
( composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))) != composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))
| composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))),composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))))) )],[refute_1_3325,refute_1_3326]) ).
cnf(refute_1_3328,plain,
composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),
inference(resolve,[$cnf( $equal(composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))),composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) )],[refute_1_3324,refute_1_3327]) ).
cnf(refute_1_3329,plain,
composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) = composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))),
inference(subst,[],[refute_1_235:[bind(X1,$fot(converse(X_595))),bind(X2,$fot(complement(composition(composition(X_595,converse(X0)),top))))]]) ).
cnf(refute_1_3330,plain,
( composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) != composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))
| composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) != composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))))
| composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))))),bind(Y,$fot(composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))))),bind(Z,$fot(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))))]]) ).
cnf(refute_1_3331,plain,
( composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))) != composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))
| composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))),composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top))))) )],[refute_1_3329,refute_1_3330]) ).
cnf(refute_1_3332,plain,
composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(composition(X_595,converse(X0)),top)))),composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) )],[refute_1_3328,refute_1_3331]) ).
cnf(refute_1_3333,plain,
join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))))]]) ).
cnf(refute_1_3334,plain,
( composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) != composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))
| join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) != join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))))
| join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))),join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))))) ),[1,1],$fot(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))))]]) ).
cnf(refute_1_3335,plain,
( composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))) != composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))
| join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))),join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))))) )],[refute_1_3333,refute_1_3334]) ).
cnf(refute_1_3336,plain,
join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) = join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))),
inference(resolve,[$cnf( $equal(composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top))),composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) )],[refute_1_3332,refute_1_3335]) ).
cnf(refute_1_3337,plain,
( join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) != join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))))
| join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) != zero
| join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))),zero) ),[0],$fot(join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))))]]) ).
cnf(refute_1_3338,plain,
( join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))) != zero
| join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))),join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))))) )],[refute_1_3336,refute_1_3337]) ).
cnf(refute_1_3339,plain,
join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(composition(X0,converse(X_595)),complement(composition(composition(X_595,converse(X0)),top)))),zero) )],[refute_1_3315,refute_1_3338]) ).
cnf(refute_1_3340,plain,
join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))))]]) ).
cnf(refute_1_3341,plain,
( join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) != composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))
| join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) != zero
| composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))),zero) ),[0],$fot(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))))]]) ).
cnf(refute_1_3342,plain,
( join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) != zero
| composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))),composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) )],[refute_1_3340,refute_1_3341]) ).
cnf(refute_1_3343,plain,
composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))),zero) )],[refute_1_3339,refute_1_3342]) ).
cnf(refute_1_3344,plain,
converse(composition(converse(top),X_596)) = composition(converse(X_596),top),
inference(subst,[],[refute_1_80:[bind(X0,$fot(top))]]) ).
cnf(refute_1_3345,plain,
( converse(composition(converse(top),X_596)) != composition(converse(X_596),top)
| converse(top) != top
| converse(composition(top,X_596)) = composition(converse(X_596),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_596)),composition(converse(X_596),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_1_3346,plain,
( converse(composition(converse(top),X_596)) != composition(converse(X_596),top)
| converse(composition(top,X_596)) = composition(converse(X_596),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_3345]) ).
cnf(refute_1_3347,plain,
converse(composition(top,X_596)) = composition(converse(X_596),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_596)),composition(converse(X_596),top)) )],[refute_1_3344,refute_1_3346]) ).
cnf(refute_1_3348,plain,
( converse(composition(top,X_596)) != composition(converse(X_596),top)
| composition(converse(X_596),top) = converse(composition(top,X_596)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(top,X_596)))),bind(Y,$fot(composition(converse(X_596),top)))]]) ).
cnf(refute_1_3349,plain,
composition(converse(X_596),top) = converse(composition(top,X_596)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_596)),composition(converse(X_596),top)) )],[refute_1_3347,refute_1_3348]) ).
cnf(refute_1_3350,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_1_3349:[bind(X_596,$fot(X0))]]) ).
cnf(refute_1_3351,plain,
composition(X_595,composition(converse(X0),top)) = composition(X_595,composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(composition(X_595,composition(converse(X0),top)))]]) ).
cnf(refute_1_3352,plain,
( composition(X_595,composition(converse(X0),top)) != composition(X_595,composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| composition(X_595,composition(converse(X0),top)) = composition(X_595,converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_595,composition(converse(X0),top)),composition(X_595,composition(converse(X0),top))) ),[1,1],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_1_3353,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| composition(X_595,composition(converse(X0),top)) = composition(X_595,converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(composition(X_595,composition(converse(X0),top)),composition(X_595,composition(converse(X0),top))) )],[refute_1_3351,refute_1_3352]) ).
cnf(refute_1_3354,plain,
composition(X_595,composition(converse(X0),top)) = composition(X_595,converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_1_3350,refute_1_3353]) ).
cnf(refute_1_3355,plain,
complement(composition(X_595,composition(converse(X0),top))) = complement(composition(X_595,composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(complement(composition(X_595,composition(converse(X0),top))))]]) ).
cnf(refute_1_3356,plain,
( complement(composition(X_595,composition(converse(X0),top))) != complement(composition(X_595,composition(converse(X0),top)))
| composition(X_595,composition(converse(X0),top)) != composition(X_595,converse(composition(top,X0)))
| complement(composition(X_595,composition(converse(X0),top))) = complement(composition(X_595,converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(X_595,composition(converse(X0),top))),complement(composition(X_595,composition(converse(X0),top)))) ),[1,0],$fot(composition(X_595,converse(composition(top,X0))))]]) ).
cnf(refute_1_3357,plain,
( composition(X_595,composition(converse(X0),top)) != composition(X_595,converse(composition(top,X0)))
| complement(composition(X_595,composition(converse(X0),top))) = complement(composition(X_595,converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(complement(composition(X_595,composition(converse(X0),top))),complement(composition(X_595,composition(converse(X0),top)))) )],[refute_1_3355,refute_1_3356]) ).
cnf(refute_1_3358,plain,
complement(composition(X_595,composition(converse(X0),top))) = complement(composition(X_595,converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(composition(X_595,composition(converse(X0),top)),composition(X_595,converse(composition(top,X0)))) )],[refute_1_3354,refute_1_3357]) ).
cnf(refute_1_3359,plain,
composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) = composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))),
introduced(tautology,[refl,[$fot(composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))]]) ).
cnf(refute_1_3360,plain,
( complement(composition(X_595,composition(converse(X0),top))) != complement(composition(X_595,converse(composition(top,X0))))
| composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) != composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))
| composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) = composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))),composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) ),[1,1],$fot(complement(composition(X_595,converse(composition(top,X0)))))]]) ).
cnf(refute_1_3361,plain,
( complement(composition(X_595,composition(converse(X0),top))) != complement(composition(X_595,converse(composition(top,X0))))
| composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) = composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))),composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) )],[refute_1_3359,refute_1_3360]) ).
cnf(refute_1_3362,plain,
composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) = composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0))))),
inference(resolve,[$cnf( $equal(complement(composition(X_595,composition(converse(X0),top))),complement(composition(X_595,converse(composition(top,X0))))) )],[refute_1_3358,refute_1_3361]) ).
cnf(refute_1_3363,plain,
composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),
introduced(tautology,[refl,[$fot(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))))]]) ).
cnf(refute_1_3364,plain,
( composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) != composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))
| composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) != composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))
| composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) ),[1,1],$fot(composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0))))))]]) ).
cnf(refute_1_3365,plain,
( composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))) != composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))
| composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))))) )],[refute_1_3363,refute_1_3364]) ).
cnf(refute_1_3366,plain,
composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) = composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top)))),composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))) )],[refute_1_3362,refute_1_3365]) ).
cnf(refute_1_3367,plain,
( composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) != composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0))))))
| composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) != zero
| composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),zero) ),[0],$fot(composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))))]]) ).
cnf(refute_1_3368,plain,
( composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))) != zero
| composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0))))))) )],[refute_1_3366,refute_1_3367]) ).
cnf(refute_1_3369,plain,
composition(X0,composition(converse(X_595),complement(composition(X_595,converse(composition(top,X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_595),complement(composition(X_595,composition(converse(X0),top))))),zero) )],[refute_1_3343,refute_1_3368]) ).
cnf(refute_1_3370,plain,
composition(X_1209,composition(converse(top),complement(composition(top,converse(composition(top,X_1209)))))) = zero,
inference(subst,[],[refute_1_3369:[bind(X0,$fot(X_1209)),bind(X_595,$fot(top))]]) ).
cnf(refute_1_3371,plain,
converse(composition(X_595,converse(top))) = composition(top,converse(X_595)),
inference(subst,[],[refute_1_161:[bind(X0,$fot(top))]]) ).
cnf(refute_1_3372,plain,
( converse(composition(X_595,converse(top))) != composition(top,converse(X_595))
| converse(top) != top
| converse(composition(X_595,top)) = composition(top,converse(X_595)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_595,converse(top))),composition(top,converse(X_595))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_1_3373,plain,
( converse(composition(X_595,converse(top))) != composition(top,converse(X_595))
| converse(composition(X_595,top)) = composition(top,converse(X_595)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_3372]) ).
cnf(refute_1_3374,plain,
converse(composition(X_595,top)) = composition(top,converse(X_595)),
inference(resolve,[$cnf( $equal(converse(composition(X_595,converse(top))),composition(top,converse(X_595))) )],[refute_1_3371,refute_1_3373]) ).
cnf(refute_1_3375,plain,
converse(composition(composition(top,X_1209),top)) = composition(top,converse(composition(top,X_1209))),
inference(subst,[],[refute_1_3374:[bind(X_595,$fot(composition(top,X_1209)))]]) ).
cnf(refute_1_3376,plain,
( converse(composition(composition(top,X_1209),top)) != composition(top,converse(composition(top,X_1209)))
| composition(top,converse(composition(top,X_1209))) = converse(composition(composition(top,X_1209),top)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(composition(top,X_1209),top)))),bind(Y,$fot(composition(top,converse(composition(top,X_1209)))))]]) ).
cnf(refute_1_3377,plain,
composition(top,converse(composition(top,X_1209))) = converse(composition(composition(top,X_1209),top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_1209),top)),composition(top,converse(composition(top,X_1209)))) )],[refute_1_3375,refute_1_3376]) ).
cnf(refute_1_3378,plain,
( composition(X_1209,composition(converse(top),complement(composition(top,converse(composition(top,X_1209)))))) != zero
| composition(top,converse(composition(top,X_1209))) != converse(composition(composition(top,X_1209),top))
| composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(composition(top,converse(composition(top,X_1209)))))),zero) ),[0,1,1,0],$fot(converse(composition(composition(top,X_1209),top)))]]) ).
cnf(refute_1_3379,plain,
( composition(X_1209,composition(converse(top),complement(composition(top,converse(composition(top,X_1209)))))) != zero
| composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,X_1209))),converse(composition(composition(top,X_1209),top))) )],[refute_1_3377,refute_1_3378]) ).
cnf(refute_1_3380,plain,
composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(composition(top,converse(composition(top,X_1209)))))),zero) )],[refute_1_3370,refute_1_3379]) ).
cnf(refute_1_3381,plain,
composition(composition(top,X_1209),top) = composition(top,composition(X_1209,top)),
inference(subst,[],[refute_1_235:[bind(X0,$fot(top)),bind(X1,$fot(X_1209)),bind(X2,$fot(top))]]) ).
cnf(refute_1_3382,plain,
complement(composition(composition(top,X_1209),top)) = complement(composition(composition(top,X_1209),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(top,X_1209),top)))]]) ).
cnf(refute_1_3383,plain,
( complement(composition(composition(top,X_1209),top)) != complement(composition(composition(top,X_1209),top))
| composition(composition(top,X_1209),top) != composition(top,composition(X_1209,top))
| complement(composition(composition(top,X_1209),top)) = complement(composition(top,composition(X_1209,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(top,X_1209),top)),complement(composition(composition(top,X_1209),top))) ),[1,0],$fot(composition(top,composition(X_1209,top)))]]) ).
cnf(refute_1_3384,plain,
( composition(composition(top,X_1209),top) != composition(top,composition(X_1209,top))
| complement(composition(composition(top,X_1209),top)) = complement(composition(top,composition(X_1209,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(top,X_1209),top)),complement(composition(composition(top,X_1209),top))) )],[refute_1_3382,refute_1_3383]) ).
cnf(refute_1_3385,plain,
complement(composition(composition(top,X_1209),top)) = complement(composition(top,composition(X_1209,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_1209),top),composition(top,composition(X_1209,top))) )],[refute_1_3381,refute_1_3384]) ).
cnf(refute_1_3386,plain,
composition(complement(composition(composition(top,X_1209),top)),top) = composition(complement(composition(composition(top,X_1209),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(composition(top,X_1209),top)),top))]]) ).
cnf(refute_1_3387,plain,
( complement(composition(composition(top,X_1209),top)) != complement(composition(top,composition(X_1209,top)))
| composition(complement(composition(composition(top,X_1209),top)),top) != composition(complement(composition(composition(top,X_1209),top)),top)
| composition(complement(composition(composition(top,X_1209),top)),top) = composition(complement(composition(top,composition(X_1209,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(composition(top,X_1209),top)),top),composition(complement(composition(composition(top,X_1209),top)),top)) ),[1,0],$fot(complement(composition(top,composition(X_1209,top))))]]) ).
cnf(refute_1_3388,plain,
( complement(composition(composition(top,X_1209),top)) != complement(composition(top,composition(X_1209,top)))
| composition(complement(composition(composition(top,X_1209),top)),top) = composition(complement(composition(top,composition(X_1209,top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(top,X_1209),top)),top),composition(complement(composition(composition(top,X_1209),top)),top)) )],[refute_1_3386,refute_1_3387]) ).
cnf(refute_1_3389,plain,
composition(complement(composition(composition(top,X_1209),top)),top) = composition(complement(composition(top,composition(X_1209,top))),top),
inference(resolve,[$cnf( $equal(complement(composition(composition(top,X_1209),top)),complement(composition(top,composition(X_1209,top)))) )],[refute_1_3385,refute_1_3388]) ).
cnf(refute_1_3390,plain,
converse(composition(complement(composition(composition(top,X_1209),top)),top)) = converse(composition(complement(composition(composition(top,X_1209),top)),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(composition(top,X_1209),top)),top)))]]) ).
cnf(refute_1_3391,plain,
( composition(complement(composition(composition(top,X_1209),top)),top) != composition(complement(composition(top,composition(X_1209,top))),top)
| converse(composition(complement(composition(composition(top,X_1209),top)),top)) != converse(composition(complement(composition(composition(top,X_1209),top)),top))
| converse(composition(complement(composition(composition(top,X_1209),top)),top)) = converse(composition(complement(composition(top,composition(X_1209,top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(composition(top,X_1209),top)),top)),converse(composition(complement(composition(composition(top,X_1209),top)),top))) ),[1,0],$fot(composition(complement(composition(top,composition(X_1209,top))),top))]]) ).
cnf(refute_1_3392,plain,
( composition(complement(composition(composition(top,X_1209),top)),top) != composition(complement(composition(top,composition(X_1209,top))),top)
| converse(composition(complement(composition(composition(top,X_1209),top)),top)) = converse(composition(complement(composition(top,composition(X_1209,top))),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(composition(top,X_1209),top)),top)),converse(composition(complement(composition(composition(top,X_1209),top)),top))) )],[refute_1_3390,refute_1_3391]) ).
cnf(refute_1_3393,plain,
converse(composition(complement(composition(composition(top,X_1209),top)),top)) = converse(composition(complement(composition(top,composition(X_1209,top))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(top,X_1209),top)),top),composition(complement(composition(top,composition(X_1209,top))),top)) )],[refute_1_3389,refute_1_3392]) ).
cnf(refute_1_3394,plain,
converse(composition(complement(X_938),X1)) = composition(converse(X1),converse(complement(X_938))),
inference(subst,[],[refute_1_75:[bind(X0,$fot(complement(X_938)))]]) ).
cnf(refute_1_3395,plain,
converse(complement(X_938)) = complement(converse(X_938)),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(X_938))]]) ).
cnf(refute_1_3396,plain,
( converse(complement(X_938)) != complement(converse(X_938))
| converse(composition(complement(X_938),X1)) != composition(converse(X1),converse(complement(X_938)))
| converse(composition(complement(X_938),X1)) = composition(converse(X1),complement(converse(X_938))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_938),X1)),composition(converse(X1),converse(complement(X_938)))) ),[1,1],$fot(complement(converse(X_938)))]]) ).
cnf(refute_1_3397,plain,
( converse(composition(complement(X_938),X1)) != composition(converse(X1),converse(complement(X_938)))
| converse(composition(complement(X_938),X1)) = composition(converse(X1),complement(converse(X_938))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_938)),complement(converse(X_938))) )],[refute_1_3395,refute_1_3396]) ).
cnf(refute_1_3398,plain,
converse(composition(complement(X_938),X1)) = composition(converse(X1),complement(converse(X_938))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_938),X1)),composition(converse(X1),converse(complement(X_938)))) )],[refute_1_3394,refute_1_3397]) ).
cnf(refute_1_3399,plain,
( converse(composition(complement(X_938),X1)) != composition(converse(X1),complement(converse(X_938)))
| composition(converse(X1),complement(converse(X_938))) = converse(composition(complement(X_938),X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(complement(X_938),X1)))),bind(Y,$fot(composition(converse(X1),complement(converse(X_938)))))]]) ).
cnf(refute_1_3400,plain,
composition(converse(X1),complement(converse(X_938))) = converse(composition(complement(X_938),X1)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_938),X1)),composition(converse(X1),complement(converse(X_938)))) )],[refute_1_3398,refute_1_3399]) ).
cnf(refute_1_3401,plain,
composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) = converse(composition(complement(composition(composition(top,X_1209),top)),top)),
inference(subst,[],[refute_1_3400:[bind(X1,$fot(top)),bind(X_938,$fot(composition(composition(top,X_1209),top)))]]) ).
cnf(refute_1_3402,plain,
( composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) != converse(composition(complement(composition(composition(top,X_1209),top)),top))
| converse(composition(complement(composition(composition(top,X_1209),top)),top)) != converse(composition(complement(composition(top,composition(X_1209,top))),top))
| composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) = converse(composition(complement(composition(top,composition(X_1209,top))),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))))),bind(Y,$fot(converse(composition(complement(composition(composition(top,X_1209),top)),top)))),bind(Z,$fot(converse(composition(complement(composition(top,composition(X_1209,top))),top))))]]) ).
cnf(refute_1_3403,plain,
( converse(composition(complement(composition(composition(top,X_1209),top)),top)) != converse(composition(complement(composition(top,composition(X_1209,top))),top))
| composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) = converse(composition(complement(composition(top,composition(X_1209,top))),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))),converse(composition(complement(composition(composition(top,X_1209),top)),top))) )],[refute_1_3401,refute_1_3402]) ).
cnf(refute_1_3404,plain,
composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) = converse(composition(complement(composition(top,composition(X_1209,top))),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(composition(top,X_1209),top)),top)),converse(composition(complement(composition(top,composition(X_1209,top))),top))) )],[refute_1_3393,refute_1_3403]) ).
cnf(refute_1_3405,plain,
composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))),
introduced(tautology,[refl,[$fot(composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))))]]) ).
cnf(refute_1_3406,plain,
( composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) != composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))))
| composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) != converse(composition(complement(composition(top,composition(X_1209,top))),top))
| composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))),composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))))) ),[1,1],$fot(converse(composition(complement(composition(top,composition(X_1209,top))),top)))]]) ).
cnf(refute_1_3407,plain,
( composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))) != converse(composition(complement(composition(top,composition(X_1209,top))),top))
| composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))) ),
inference(resolve,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))),composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))))) )],[refute_1_3405,refute_1_3406]) ).
cnf(refute_1_3408,plain,
composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) = composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(composition(composition(top,X_1209),top)))),converse(composition(complement(composition(top,composition(X_1209,top))),top))) )],[refute_1_3404,refute_1_3407]) ).
cnf(refute_1_3409,plain,
( composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) != composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top)))
| composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) != zero
| composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))),zero) ),[0],$fot(composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))))]]) ).
cnf(refute_1_3410,plain,
( composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))) != zero
| composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))),composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top)))) )],[refute_1_3408,refute_1_3409]) ).
cnf(refute_1_3411,plain,
composition(X_1209,converse(composition(complement(composition(top,composition(X_1209,top))),top))) = zero,
inference(resolve,[$cnf( $equal(composition(X_1209,composition(converse(top),complement(converse(composition(composition(top,X_1209),top))))),zero) )],[refute_1_3380,refute_1_3410]) ).
cnf(refute_1_3412,plain,
composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))) = zero,
inference(subst,[],[refute_1_3411:[bind(X_1209,$fot(X_1254))]]) ).
cnf(refute_1_3413,plain,
( composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))) != zero
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))))))) != complement(converse(X_1254))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = complement(converse(X_1254)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))))))),complement(converse(X_1254))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_1_3414,plain,
( join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))))))) != complement(converse(X_1254))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = complement(converse(X_1254)) ),
inference(resolve,[$cnf( $equal(composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))),zero) )],[refute_1_3412,refute_1_3413]) ).
cnf(refute_1_3415,plain,
join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = complement(converse(X_1254)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(composition(X_1254,converse(composition(complement(composition(top,composition(X_1254,top))),top))))))),complement(converse(X_1254))) )],[refute_1_3304,refute_1_3414]) ).
cnf(refute_1_3416,plain,
converse(join(complement(X_938),X1)) = join(converse(complement(X_938)),converse(X1)),
inference(subst,[],[refute_1_190:[bind(X0,$fot(complement(X_938)))]]) ).
cnf(refute_1_3417,plain,
( converse(complement(X_938)) != complement(converse(X_938))
| converse(join(complement(X_938),X1)) != join(converse(complement(X_938)),converse(X1))
| converse(join(complement(X_938),X1)) = join(complement(converse(X_938)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(X_938),X1)),join(converse(complement(X_938)),converse(X1))) ),[1,0],$fot(complement(converse(X_938)))]]) ).
cnf(refute_1_3418,plain,
( converse(join(complement(X_938),X1)) != join(converse(complement(X_938)),converse(X1))
| converse(join(complement(X_938),X1)) = join(complement(converse(X_938)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_938)),complement(converse(X_938))) )],[refute_1_3395,refute_1_3417]) ).
cnf(refute_1_3419,plain,
converse(join(complement(X_938),X1)) = join(complement(converse(X_938)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_938),X1)),join(converse(complement(X_938)),converse(X1))) )],[refute_1_3416,refute_1_3418]) ).
cnf(refute_1_3420,plain,
( converse(join(complement(X_938),X1)) != join(complement(converse(X_938)),converse(X1))
| join(complement(converse(X_938)),converse(X1)) = converse(join(complement(X_938),X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(complement(X_938),X1)))),bind(Y,$fot(join(complement(converse(X_938)),converse(X1))))]]) ).
cnf(refute_1_3421,plain,
join(complement(converse(X_938)),converse(X1)) = converse(join(complement(X_938),X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_938),X1)),join(complement(converse(X_938)),converse(X1))) )],[refute_1_3419,refute_1_3420]) ).
cnf(refute_1_3422,plain,
join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) = converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))),
inference(subst,[],[refute_1_3421:[bind(X1,$fot(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))),bind(X_938,$fot(X_1254))]]) ).
cnf(refute_1_3423,plain,
top = join(zero,complement(zero)),
inference(subst,[],[refute_1_48:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_3424,plain,
complement(zero) = join(zero,complement(zero)),
inference(subst,[],[refute_1_415:[bind(X_675,$fot(complement(zero)))]]) ).
cnf(refute_1_3425,plain,
( complement(zero) != join(zero,complement(zero))
| join(zero,complement(zero)) = complement(zero) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(zero))),bind(Y,$fot(join(zero,complement(zero))))]]) ).
cnf(refute_1_3426,plain,
join(zero,complement(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,complement(zero))) )],[refute_1_3424,refute_1_3425]) ).
cnf(refute_1_3427,plain,
( join(zero,complement(zero)) != complement(zero)
| top != join(zero,complement(zero))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_1_3428,plain,
( top != join(zero,complement(zero))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),complement(zero)) )],[refute_1_3426,refute_1_3427]) ).
cnf(refute_1_3429,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_1_3423,refute_1_3428]) ).
cnf(refute_1_3430,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_1_3431,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_1_3429,refute_1_3430]) ).
cnf(refute_1_3432,plain,
composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) = composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)),
introduced(tautology,[refl,[$fot(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)))]]) ).
cnf(refute_1_3433,plain,
( complement(zero) != top
| composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) != composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))
| composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) = composition(top,composition(complement(composition(top,composition(X_1254,top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)),composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_3434,plain,
( complement(zero) != top
| composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) = composition(top,composition(complement(composition(top,composition(X_1254,top))),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)),composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) )],[refute_1_3432,refute_1_3433]) ).
cnf(refute_1_3435,plain,
composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) = composition(top,composition(complement(composition(top,composition(X_1254,top))),top)),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_3434]) ).
cnf(refute_1_3436,plain,
converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) = converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))),
introduced(tautology,[refl,[$fot(converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))))]]) ).
cnf(refute_1_3437,plain,
( composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) != composition(top,composition(complement(composition(top,composition(X_1254,top))),top))
| converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) != converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)))
| converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) = converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))),converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)))) ),[1,0],$fot(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))]]) ).
cnf(refute_1_3438,plain,
( composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)) != composition(top,composition(complement(composition(top,composition(X_1254,top))),top))
| converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) = converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))),converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)))) )],[refute_1_3436,refute_1_3437]) ).
cnf(refute_1_3439,plain,
converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) = converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))),
inference(resolve,[$cnf( $equal(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))) )],[refute_1_3435,refute_1_3438]) ).
cnf(refute_1_3440,plain,
composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) = converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))),
inference(subst,[],[refute_1_3400:[bind(X1,$fot(composition(complement(composition(top,composition(X_1254,top))),top))),bind(X_938,$fot(zero))]]) ).
cnf(refute_1_3441,plain,
( composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) != converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)))
| converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) != converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))
| composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) = converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))))),bind(Y,$fot(converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))))),bind(Z,$fot(converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))))]]) ).
cnf(refute_1_3442,plain,
( converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))) != converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))
| composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) = converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))),converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top)))) )],[refute_1_3440,refute_1_3441]) ).
cnf(refute_1_3443,plain,
composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) = converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(zero),composition(complement(composition(top,composition(X_1254,top))),top))),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) )],[refute_1_3439,refute_1_3442]) ).
cnf(refute_1_3444,plain,
join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))))]]) ).
cnf(refute_1_3445,plain,
( composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) != converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) != join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))))) ),[1,1],$fot(converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))]]) ).
cnf(refute_1_3446,plain,
( composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))) != converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))))) )],[refute_1_3444,refute_1_3445]) ).
cnf(refute_1_3447,plain,
join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero))),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) )],[refute_1_3443,refute_1_3446]) ).
cnf(refute_1_3448,plain,
( join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) != join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))
| join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) != converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))))),bind(Y,$fot(join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))))),bind(Z,$fot(converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))))]]) ).
cnf(refute_1_3449,plain,
( join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) != converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))) )],[refute_1_3447,refute_1_3448]) ).
cnf(refute_1_3450,plain,
join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) = converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),converse(composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))),converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))) )],[refute_1_3422,refute_1_3449]) ).
cnf(refute_1_3451,plain,
( join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) != complement(converse(X_1254))
| join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) != converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))
| converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) = complement(converse(X_1254)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),complement(converse(X_1254))) ),[0],$fot(converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))))]]) ).
cnf(refute_1_3452,plain,
( join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))) != complement(converse(X_1254))
| converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) = complement(converse(X_1254)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top))))) )],[refute_1_3450,refute_1_3451]) ).
cnf(refute_1_3453,plain,
converse(join(complement(X_1254),composition(top,composition(complement(composition(top,composition(X_1254,top))),top)))) = complement(converse(X_1254)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(converse(composition(complement(composition(top,composition(X_1254,top))),top)),complement(converse(zero)))),complement(converse(X_1254))) )],[refute_1_3415,refute_1_3452]) ).
cnf(refute_1_3454,plain,
converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,composition(converse(X_596),top))),top)))) = complement(converse(converse(X_596))),
inference(subst,[],[refute_1_3453:[bind(X_1254,$fot(converse(X_596)))]]) ).
cnf(refute_1_3455,plain,
( composition(converse(X_596),top) != converse(composition(top,X_596))
| converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,composition(converse(X_596),top))),top)))) != complement(converse(converse(X_596)))
| converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(converse(converse(X_596))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,composition(converse(X_596),top))),top)))),complement(converse(converse(X_596)))) ),[0,0,1,1,0,0,1],$fot(converse(composition(top,X_596)))]]) ).
cnf(refute_1_3456,plain,
( converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,composition(converse(X_596),top))),top)))) != complement(converse(converse(X_596)))
| converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(converse(converse(X_596))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_596),top),converse(composition(top,X_596))) )],[refute_1_3349,refute_1_3455]) ).
cnf(refute_1_3457,plain,
converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(converse(converse(X_596))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,composition(converse(X_596),top))),top)))),complement(converse(converse(X_596)))) )],[refute_1_3454,refute_1_3456]) ).
cnf(refute_1_3458,plain,
join(complement(X_596),complement(composition(top,composition(X_596,top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_596)),bind(X1,$fot(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3459,plain,
converse(converse(composition(top,composition(X_596,top)))) = composition(top,composition(X_596,top)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3460,plain,
complement(converse(converse(composition(top,composition(X_596,top))))) = complement(converse(converse(composition(top,composition(X_596,top))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3461,plain,
( complement(converse(converse(composition(top,composition(X_596,top))))) != complement(converse(converse(composition(top,composition(X_596,top)))))
| converse(converse(composition(top,composition(X_596,top)))) != composition(top,composition(X_596,top))
| complement(converse(converse(composition(top,composition(X_596,top))))) = complement(composition(top,composition(X_596,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,composition(X_596,top))))),complement(converse(converse(composition(top,composition(X_596,top)))))) ),[1,0],$fot(composition(top,composition(X_596,top)))]]) ).
cnf(refute_1_3462,plain,
( converse(converse(composition(top,composition(X_596,top)))) != composition(top,composition(X_596,top))
| complement(converse(converse(composition(top,composition(X_596,top))))) = complement(composition(top,composition(X_596,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,composition(X_596,top))))),complement(converse(converse(composition(top,composition(X_596,top)))))) )],[refute_1_3460,refute_1_3461]) ).
cnf(refute_1_3463,plain,
complement(converse(converse(composition(top,composition(X_596,top))))) = complement(composition(top,composition(X_596,top))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(X_596,top)))),composition(top,composition(X_596,top))) )],[refute_1_3459,refute_1_3462]) ).
cnf(refute_1_3464,plain,
converse(complement(converse(composition(top,composition(X_596,top))))) = complement(converse(converse(composition(top,composition(X_596,top))))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(converse(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3465,plain,
( complement(converse(converse(composition(top,composition(X_596,top))))) != complement(composition(top,composition(X_596,top)))
| converse(complement(converse(composition(top,composition(X_596,top))))) != complement(converse(converse(composition(top,composition(X_596,top)))))
| converse(complement(converse(composition(top,composition(X_596,top))))) = complement(composition(top,composition(X_596,top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(converse(composition(top,composition(X_596,top))))))),bind(Y,$fot(complement(converse(converse(composition(top,composition(X_596,top))))))),bind(Z,$fot(complement(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3466,plain,
( complement(converse(converse(composition(top,composition(X_596,top))))) != complement(composition(top,composition(X_596,top)))
| converse(complement(converse(composition(top,composition(X_596,top))))) = complement(composition(top,composition(X_596,top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,composition(X_596,top))))),complement(converse(converse(composition(top,composition(X_596,top)))))) )],[refute_1_3464,refute_1_3465]) ).
cnf(refute_1_3467,plain,
converse(complement(converse(composition(top,composition(X_596,top))))) = complement(composition(top,composition(X_596,top))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,composition(X_596,top))))),complement(composition(top,composition(X_596,top)))) )],[refute_1_3463,refute_1_3466]) ).
cnf(refute_1_3468,plain,
join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))))))) = complement(converse(X_1254)),
inference(subst,[],[refute_1_1037:[bind(X0,$fot(X_1254)),bind(X1,$fot(complement(composition(converse(X_1254),complement(X_1254)))))]]) ).
cnf(refute_1_3469,plain,
composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725))))),
inference(subst,[],[refute_1_2107:[bind(X_726,$fot(complement(composition(converse(X_725),complement(X_725)))))]]) ).
cnf(refute_1_3470,plain,
join(complement(X_617),composition(converse(converse(X0)),complement(composition(converse(X0),X_617)))) = complement(X_617),
inference(subst,[],[refute_1_73:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_617))]]) ).
cnf(refute_1_3471,plain,
( converse(converse(X0)) != X0
| join(complement(X_617),composition(converse(converse(X0)),complement(composition(converse(X0),X_617)))) != complement(X_617)
| join(complement(X_617),composition(X0,complement(composition(converse(X0),X_617)))) = complement(X_617) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_617),composition(converse(converse(X0)),complement(composition(converse(X0),X_617)))),complement(X_617)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_1_3472,plain,
( join(complement(X_617),composition(converse(converse(X0)),complement(composition(converse(X0),X_617)))) != complement(X_617)
| join(complement(X_617),composition(X0,complement(composition(converse(X0),X_617)))) = complement(X_617) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_3471]) ).
cnf(refute_1_3473,plain,
join(complement(X_617),composition(X0,complement(composition(converse(X0),X_617)))) = complement(X_617),
inference(resolve,[$cnf( $equal(join(complement(X_617),composition(converse(converse(X0)),complement(composition(converse(X0),X_617)))),complement(X_617)) )],[refute_1_3470,refute_1_3472]) ).
cnf(refute_1_3474,plain,
join(complement(complement(X_675)),composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = complement(complement(X_675)),
inference(subst,[],[refute_1_3473:[bind(X0,$fot(X_953)),bind(X_617,$fot(complement(X_675)))]]) ).
cnf(refute_1_3475,plain,
( complement(complement(X_675)) != X_675
| join(complement(complement(X_675)),composition(X_953,complement(composition(converse(X_953),complement(X_675))))) != complement(complement(X_675))
| join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = complement(complement(X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_675)),composition(X_953,complement(composition(converse(X_953),complement(X_675))))),complement(complement(X_675))) ),[0,0],$fot(X_675)]]) ).
cnf(refute_1_3476,plain,
( join(complement(complement(X_675)),composition(X_953,complement(composition(converse(X_953),complement(X_675))))) != complement(complement(X_675))
| join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = complement(complement(X_675)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_3475]) ).
cnf(refute_1_3477,plain,
join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = complement(complement(X_675)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_675)),composition(X_953,complement(composition(converse(X_953),complement(X_675))))),complement(complement(X_675))) )],[refute_1_3474,refute_1_3476]) ).
cnf(refute_1_3478,plain,
( complement(complement(X_675)) != X_675
| join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) != complement(complement(X_675))
| join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = X_675 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))),complement(complement(X_675))) ),[1],$fot(X_675)]]) ).
cnf(refute_1_3479,plain,
( join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) != complement(complement(X_675))
| join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = X_675 ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_3478]) ).
cnf(refute_1_3480,plain,
join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))) = X_675,
inference(resolve,[$cnf( $equal(join(X_675,composition(X_953,complement(composition(converse(X_953),complement(X_675))))),complement(complement(X_675))) )],[refute_1_3477,refute_1_3479]) ).
cnf(refute_1_3481,plain,
join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725))))) = X_725,
inference(subst,[],[refute_1_3480:[bind(X_675,$fot(X_725)),bind(X_953,$fot(X_725))]]) ).
cnf(refute_1_3482,plain,
( composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) != join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725)))))
| join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725))))) != X_725
| composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = X_725 ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),X_725) ),[0],$fot(join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725))))))]]) ).
cnf(refute_1_3483,plain,
( composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) != join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725)))))
| composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = X_725 ),
inference(resolve,[$cnf( $equal(join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725))))),X_725) )],[refute_1_3481,refute_1_3482]) ).
cnf(refute_1_3484,plain,
composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = X_725,
inference(resolve,[$cnf( $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),join(X_725,composition(X_725,complement(composition(converse(X_725),complement(X_725)))))) )],[refute_1_3469,refute_1_3483]) ).
cnf(refute_1_3485,plain,
meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)) = complement(join(meet(X_980,X_981),complement(join(complement(X_981),X_980)))),
inference(subst,[],[refute_1_3237:[bind(X1,$fot(join(complement(X_981),X_980))),bind(X_601,$fot(X_980)),bind(X_602,$fot(X_981))]]) ).
cnf(refute_1_3486,plain,
X_981 = join(meet(X_980,X_981),complement(join(complement(X_981),X_980))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(X_981)),bind(X_676,$fot(X_980))]]) ).
cnf(refute_1_3487,plain,
( X_981 != join(meet(X_980,X_981),complement(join(complement(X_981),X_980)))
| join(meet(X_980,X_981),complement(join(complement(X_981),X_980))) = X_981 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_981)),bind(Y,$fot(join(meet(X_980,X_981),complement(join(complement(X_981),X_980)))))]]) ).
cnf(refute_1_3488,plain,
join(meet(X_980,X_981),complement(join(complement(X_981),X_980))) = X_981,
inference(resolve,[$cnf( $equal(X_981,join(meet(X_980,X_981),complement(join(complement(X_981),X_980)))) )],[refute_1_3486,refute_1_3487]) ).
cnf(refute_1_3489,plain,
( join(meet(X_980,X_981),complement(join(complement(X_981),X_980))) != X_981
| meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)) != complement(join(meet(X_980,X_981),complement(join(complement(X_981),X_980))))
| meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)) = complement(X_981) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)),complement(join(meet(X_980,X_981),complement(join(complement(X_981),X_980))))) ),[1,0],$fot(X_981)]]) ).
cnf(refute_1_3490,plain,
( meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)) != complement(join(meet(X_980,X_981),complement(join(complement(X_981),X_980))))
| meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)) = complement(X_981) ),
inference(resolve,[$cnf( $equal(join(meet(X_980,X_981),complement(join(complement(X_981),X_980))),X_981) )],[refute_1_3488,refute_1_3489]) ).
cnf(refute_1_3491,plain,
meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)) = complement(X_981),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_980,X_981)),join(complement(X_981),X_980)),complement(join(meet(X_980,X_981),complement(join(complement(X_981),X_980))))) )],[refute_1_3485,refute_1_3490]) ).
cnf(refute_1_3492,plain,
meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),join(complement(composition(converse(X_831),complement(X_831))),one)) = complement(composition(converse(X_831),complement(X_831))),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(one)),bind(X_981,$fot(composition(converse(X_831),complement(X_831))))]]) ).
cnf(refute_1_3493,plain,
( meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),join(complement(composition(converse(X_831),complement(X_831))),one)) != complement(composition(converse(X_831),complement(X_831)))
| meet(one,composition(converse(X_831),complement(X_831))) != zero
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = complement(composition(converse(X_831),complement(X_831))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),join(complement(composition(converse(X_831),complement(X_831))),one)),complement(composition(converse(X_831),complement(X_831)))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_1_3494,plain,
( meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),join(complement(composition(converse(X_831),complement(X_831))),one)) != complement(composition(converse(X_831),complement(X_831)))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = complement(composition(converse(X_831),complement(X_831))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(X_831),complement(X_831))),zero) )],[refute_1_2037,refute_1_3493]) ).
cnf(refute_1_3495,plain,
meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = complement(composition(converse(X_831),complement(X_831))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,composition(converse(X_831),complement(X_831)))),join(complement(composition(converse(X_831),complement(X_831))),one)),complement(composition(converse(X_831),complement(X_831)))) )],[refute_1_3492,refute_1_3494]) ).
cnf(refute_1_3496,plain,
meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) = join(one,complement(composition(converse(X_831),complement(X_831)))),
inference(subst,[],[refute_1_1989:[bind(X1,$fot(join(one,complement(composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_3497,plain,
join(complement(composition(converse(X_831),complement(X_831))),one) = join(one,complement(composition(converse(X_831),complement(X_831)))),
inference(subst,[],[refute_1_3142:[bind(X0,$fot(complement(composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_3498,plain,
meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)))]]) ).
cnf(refute_1_3499,plain,
( join(complement(composition(converse(X_831),complement(X_831))),one) != join(one,complement(composition(converse(X_831),complement(X_831))))
| meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) != meet(top,join(complement(composition(converse(X_831),complement(X_831))),one))
| meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)),meet(top,join(complement(composition(converse(X_831),complement(X_831))),one))) ),[1,1],$fot(join(one,complement(composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_3500,plain,
( join(complement(composition(converse(X_831),complement(X_831))),one) != join(one,complement(composition(converse(X_831),complement(X_831))))
| meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)),meet(top,join(complement(composition(converse(X_831),complement(X_831))),one))) )],[refute_1_3498,refute_1_3499]) ).
cnf(refute_1_3501,plain,
meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))),
inference(resolve,[$cnf( $equal(join(complement(composition(converse(X_831),complement(X_831))),one),join(one,complement(composition(converse(X_831),complement(X_831))))) )],[refute_1_3497,refute_1_3500]) ).
cnf(refute_1_3502,plain,
meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),
introduced(tautology,[refl,[$fot(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)))]]) ).
cnf(refute_1_3503,plain,
( complement(zero) != top
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) != meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_3504,plain,
( complement(zero) != top
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one))) )],[refute_1_3502,refute_1_3503]) ).
cnf(refute_1_3505,plain,
meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_3504]) ).
cnf(refute_1_3506,plain,
( meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) != meet(top,join(complement(composition(converse(X_831),complement(X_831))),one))
| meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) != meet(top,join(one,complement(composition(converse(X_831),complement(X_831)))))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)))),bind(Y,$fot(meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)))),bind(Z,$fot(meet(top,join(one,complement(composition(converse(X_831),complement(X_831)))))))]]) ).
cnf(refute_1_3507,plain,
( meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)) != meet(top,join(one,complement(composition(converse(X_831),complement(X_831)))))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),meet(top,join(complement(composition(converse(X_831),complement(X_831))),one))) )],[refute_1_3505,refute_1_3506]) ).
cnf(refute_1_3508,plain,
meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(composition(converse(X_831),complement(X_831))),one)),meet(top,join(one,complement(composition(converse(X_831),complement(X_831)))))) )],[refute_1_3501,refute_1_3507]) ).
cnf(refute_1_3509,plain,
( meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) != meet(top,join(one,complement(composition(converse(X_831),complement(X_831)))))
| meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) != join(one,complement(composition(converse(X_831),complement(X_831))))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = join(one,complement(composition(converse(X_831),complement(X_831)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)))),bind(Y,$fot(meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))))),bind(Z,$fot(join(one,complement(composition(converse(X_831),complement(X_831))))))]]) ).
cnf(refute_1_3510,plain,
( meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))) != join(one,complement(composition(converse(X_831),complement(X_831))))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = join(one,complement(composition(converse(X_831),complement(X_831)))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),meet(top,join(one,complement(composition(converse(X_831),complement(X_831)))))) )],[refute_1_3508,refute_1_3509]) ).
cnf(refute_1_3511,plain,
meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) = join(one,complement(composition(converse(X_831),complement(X_831)))),
inference(resolve,[$cnf( $equal(meet(top,join(one,complement(composition(converse(X_831),complement(X_831))))),join(one,complement(composition(converse(X_831),complement(X_831))))) )],[refute_1_3496,refute_1_3510]) ).
cnf(refute_1_3512,plain,
( meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) != complement(composition(converse(X_831),complement(X_831)))
| meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) != join(one,complement(composition(converse(X_831),complement(X_831))))
| join(one,complement(composition(converse(X_831),complement(X_831)))) = complement(composition(converse(X_831),complement(X_831))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),complement(composition(converse(X_831),complement(X_831)))) ),[0],$fot(join(one,complement(composition(converse(X_831),complement(X_831)))))]]) ).
cnf(refute_1_3513,plain,
( meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)) != complement(composition(converse(X_831),complement(X_831)))
| join(one,complement(composition(converse(X_831),complement(X_831)))) = complement(composition(converse(X_831),complement(X_831))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),join(one,complement(composition(converse(X_831),complement(X_831))))) )],[refute_1_3511,refute_1_3512]) ).
cnf(refute_1_3514,plain,
join(one,complement(composition(converse(X_831),complement(X_831)))) = complement(composition(converse(X_831),complement(X_831))),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(composition(converse(X_831),complement(X_831))),one)),complement(composition(converse(X_831),complement(X_831)))) )],[refute_1_3495,refute_1_3513]) ).
cnf(refute_1_3515,plain,
join(one,complement(composition(converse(X_725),complement(X_725)))) = complement(composition(converse(X_725),complement(X_725))),
inference(subst,[],[refute_1_3514:[bind(X_831,$fot(X_725))]]) ).
cnf(refute_1_3516,plain,
composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),
introduced(tautology,[refl,[$fot(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))))]]) ).
cnf(refute_1_3517,plain,
( composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) != composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725)))))
| join(one,complement(composition(converse(X_725),complement(X_725)))) != complement(composition(converse(X_725),complement(X_725)))
| composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = composition(X_725,complement(composition(converse(X_725),complement(X_725)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725)))))) ),[1,1],$fot(complement(composition(converse(X_725),complement(X_725))))]]) ).
cnf(refute_1_3518,plain,
( join(one,complement(composition(converse(X_725),complement(X_725)))) != complement(composition(converse(X_725),complement(X_725)))
| composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = composition(X_725,complement(composition(converse(X_725),complement(X_725)))) ),
inference(resolve,[$cnf( $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725)))))) )],[refute_1_3516,refute_1_3517]) ).
cnf(refute_1_3519,plain,
composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) = composition(X_725,complement(composition(converse(X_725),complement(X_725)))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(converse(X_725),complement(X_725)))),complement(composition(converse(X_725),complement(X_725)))) )],[refute_1_3515,refute_1_3518]) ).
cnf(refute_1_3520,plain,
( composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) != X_725
| composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) != composition(X_725,complement(composition(converse(X_725),complement(X_725))))
| composition(X_725,complement(composition(converse(X_725),complement(X_725)))) = X_725 ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),X_725) ),[0],$fot(composition(X_725,complement(composition(converse(X_725),complement(X_725)))))]]) ).
cnf(refute_1_3521,plain,
( composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))) != X_725
| composition(X_725,complement(composition(converse(X_725),complement(X_725)))) = X_725 ),
inference(resolve,[$cnf( $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),composition(X_725,complement(composition(converse(X_725),complement(X_725))))) )],[refute_1_3519,refute_1_3520]) ).
cnf(refute_1_3522,plain,
composition(X_725,complement(composition(converse(X_725),complement(X_725)))) = X_725,
inference(resolve,[$cnf( $equal(composition(X_725,join(one,complement(composition(converse(X_725),complement(X_725))))),X_725) )],[refute_1_3484,refute_1_3521]) ).
cnf(refute_1_3523,plain,
composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))) = X_1254,
inference(subst,[],[refute_1_3522:[bind(X_725,$fot(X_1254))]]) ).
cnf(refute_1_3524,plain,
( composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))) != X_1254
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))))))) != complement(converse(X_1254))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = complement(converse(X_1254)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))))))),complement(converse(X_1254))) ),[0,1,1,0,0],$fot(X_1254)]]) ).
cnf(refute_1_3525,plain,
( join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))))))) != complement(converse(X_1254))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = complement(converse(X_1254)) ),
inference(resolve,[$cnf( $equal(composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))),X_1254) )],[refute_1_3523,refute_1_3524]) ).
cnf(refute_1_3526,plain,
join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = complement(converse(X_1254)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(composition(X_1254,complement(composition(converse(X_1254),complement(X_1254)))))))),complement(converse(X_1254))) )],[refute_1_3468,refute_1_3525]) ).
cnf(refute_1_3527,plain,
join(one,complement(composition(converse(X_1254),complement(X_1254)))) = complement(composition(converse(X_1254),complement(X_1254))),
inference(subst,[],[refute_1_3514:[bind(X_831,$fot(X_1254))]]) ).
cnf(refute_1_3528,plain,
composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) = composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))))]]) ).
cnf(refute_1_3529,plain,
( composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) != composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))
| join(one,complement(composition(converse(X_1254),complement(X_1254)))) != complement(composition(converse(X_1254),complement(X_1254)))
| composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) = composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))),composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))) ),[1,0],$fot(complement(composition(converse(X_1254),complement(X_1254))))]]) ).
cnf(refute_1_3530,plain,
( join(one,complement(composition(converse(X_1254),complement(X_1254)))) != complement(composition(converse(X_1254),complement(X_1254)))
| composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) = composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))),composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))) )],[refute_1_3528,refute_1_3529]) ).
cnf(refute_1_3531,plain,
composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) = composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(composition(converse(X_1254),complement(X_1254)))) )],[refute_1_3527,refute_1_3530]) ).
cnf(refute_1_3532,plain,
join(composition(X0,X2),composition(X1,X2)) = join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))),
inference(subst,[],[refute_1_692:[bind(X_728,$fot(composition(X0,X2))),bind(X_729,$fot(composition(X1,X2)))]]) ).
cnf(refute_1_3533,plain,
( join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
| join(composition(X0,X2),composition(X1,X2)) != join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))
| composition(join(X0,X1),X2) = join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))) ),[0],$fot(composition(join(X0,X1),X2))]]) ).
cnf(refute_1_3534,plain,
( join(composition(X0,X2),composition(X1,X2)) != join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))
| composition(join(X0,X1),X2) = join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_1_1066,refute_1_3533]) ).
cnf(refute_1_3535,plain,
composition(join(X0,X1),X2) = join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))) )],[refute_1_3532,refute_1_3534]) ).
cnf(refute_1_3536,plain,
join(X1,join(X1,X0)) = join(X1,X0),
inference(subst,[],[refute_1_650:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_1_3537,plain,
composition(join(X1,join(X1,X0)),X2) = composition(join(X1,join(X1,X0)),X2),
introduced(tautology,[refl,[$fot(composition(join(X1,join(X1,X0)),X2))]]) ).
cnf(refute_1_3538,plain,
( composition(join(X1,join(X1,X0)),X2) != composition(join(X1,join(X1,X0)),X2)
| join(X1,join(X1,X0)) != join(X1,X0)
| composition(join(X1,join(X1,X0)),X2) = composition(join(X1,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X1,join(X1,X0)),X2),composition(join(X1,join(X1,X0)),X2)) ),[1,0],$fot(join(X1,X0))]]) ).
cnf(refute_1_3539,plain,
( join(X1,join(X1,X0)) != join(X1,X0)
| composition(join(X1,join(X1,X0)),X2) = composition(join(X1,X0),X2) ),
inference(resolve,[$cnf( $equal(composition(join(X1,join(X1,X0)),X2),composition(join(X1,join(X1,X0)),X2)) )],[refute_1_3537,refute_1_3538]) ).
cnf(refute_1_3540,plain,
composition(join(X1,join(X1,X0)),X2) = composition(join(X1,X0),X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X0)),join(X1,X0)) )],[refute_1_3536,refute_1_3539]) ).
cnf(refute_1_3541,plain,
( composition(join(X_632,X_631),X_633) != composition(join(X_631,X_632),X_633)
| composition(join(X_631,X_632),X_633) = composition(join(X_632,X_631),X_633) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_632,X_631),X_633))),bind(Y,$fot(composition(join(X_631,X_632),X_633)))]]) ).
cnf(refute_1_3542,plain,
composition(join(X_631,X_632),X_633) = composition(join(X_632,X_631),X_633),
inference(resolve,[$cnf( $equal(composition(join(X_632,X_631),X_633),composition(join(X_631,X_632),X_633)) )],[refute_1_1070,refute_1_3541]) ).
cnf(refute_1_3543,plain,
composition(join(join(X1,X0),X1),X2) = composition(join(X1,join(X1,X0)),X2),
inference(subst,[],[refute_1_3542:[bind(X_631,$fot(join(X1,X0))),bind(X_632,$fot(X1)),bind(X_633,$fot(X2))]]) ).
cnf(refute_1_3544,plain,
join(composition(join(X1,X0),X2),composition(X1,X2)) = composition(join(join(X1,X0),X1),X2),
inference(subst,[],[refute_1_1066:[bind(X0,$fot(join(X1,X0)))]]) ).
cnf(refute_1_3545,plain,
( composition(join(join(X1,X0),X1),X2) != composition(join(X1,join(X1,X0)),X2)
| join(composition(join(X1,X0),X2),composition(X1,X2)) != composition(join(join(X1,X0),X1),X2)
| join(composition(join(X1,X0),X2),composition(X1,X2)) = composition(join(X1,join(X1,X0)),X2) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(join(X1,X0),X2),composition(X1,X2)))),bind(Y,$fot(composition(join(join(X1,X0),X1),X2))),bind(Z,$fot(composition(join(X1,join(X1,X0)),X2)))]]) ).
cnf(refute_1_3546,plain,
( composition(join(join(X1,X0),X1),X2) != composition(join(X1,join(X1,X0)),X2)
| join(composition(join(X1,X0),X2),composition(X1,X2)) = composition(join(X1,join(X1,X0)),X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(X1,X0),X2),composition(X1,X2)),composition(join(join(X1,X0),X1),X2)) )],[refute_1_3544,refute_1_3545]) ).
cnf(refute_1_3547,plain,
join(composition(join(X1,X0),X2),composition(X1,X2)) = composition(join(X1,join(X1,X0)),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X1,X0),X1),X2),composition(join(X1,join(X1,X0)),X2)) )],[refute_1_3543,refute_1_3546]) ).
cnf(refute_1_3548,plain,
join(composition(X0,X2),join(composition(X1,X2),X_729)) = join(join(composition(X0,X2),composition(X1,X2)),X_729),
inference(subst,[],[refute_1_46:[bind(X0,$fot(composition(X0,X2))),bind(X1,$fot(composition(X1,X2))),bind(X2,$fot(X_729))]]) ).
cnf(refute_1_3549,plain,
( join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
| join(composition(X0,X2),join(composition(X1,X2),X_729)) != join(join(composition(X0,X2),composition(X1,X2)),X_729)
| join(composition(X0,X2),join(composition(X1,X2),X_729)) = join(composition(join(X0,X1),X2),X_729) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X0,X2),join(composition(X1,X2),X_729)),join(join(composition(X0,X2),composition(X1,X2)),X_729)) ),[1,0],$fot(composition(join(X0,X1),X2))]]) ).
cnf(refute_1_3550,plain,
( join(composition(X0,X2),join(composition(X1,X2),X_729)) != join(join(composition(X0,X2),composition(X1,X2)),X_729)
| join(composition(X0,X2),join(composition(X1,X2),X_729)) = join(composition(join(X0,X1),X2),X_729) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_1_1066,refute_1_3549]) ).
cnf(refute_1_3551,plain,
join(composition(X0,X2),join(composition(X1,X2),X_729)) = join(composition(join(X0,X1),X2),X_729),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(composition(X1,X2),X_729)),join(join(composition(X0,X2),composition(X1,X2)),X_729)) )],[refute_1_3548,refute_1_3550]) ).
cnf(refute_1_3552,plain,
join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = join(composition(join(X1,X0),X2),composition(X1,X2)),
inference(subst,[],[refute_1_3551:[bind(X0,$fot(X1)),bind(X1,$fot(X0)),bind(X_729,$fot(composition(X1,X2)))]]) ).
cnf(refute_1_3553,plain,
( join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) != join(composition(join(X1,X0),X2),composition(X1,X2))
| join(composition(join(X1,X0),X2),composition(X1,X2)) != composition(join(X1,join(X1,X0)),X2)
| join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = composition(join(X1,join(X1,X0)),X2) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))))),bind(Y,$fot(join(composition(join(X1,X0),X2),composition(X1,X2)))),bind(Z,$fot(composition(join(X1,join(X1,X0)),X2)))]]) ).
cnf(refute_1_3554,plain,
( join(composition(join(X1,X0),X2),composition(X1,X2)) != composition(join(X1,join(X1,X0)),X2)
| join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = composition(join(X1,join(X1,X0)),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))),join(composition(join(X1,X0),X2),composition(X1,X2))) )],[refute_1_3552,refute_1_3553]) ).
cnf(refute_1_3555,plain,
join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = composition(join(X1,join(X1,X0)),X2),
inference(resolve,[$cnf( $equal(join(composition(join(X1,X0),X2),composition(X1,X2)),composition(join(X1,join(X1,X0)),X2)) )],[refute_1_3547,refute_1_3554]) ).
cnf(refute_1_3556,plain,
( composition(join(X1,join(X1,X0)),X2) != composition(join(X1,X0),X2)
| join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) != composition(join(X1,join(X1,X0)),X2)
| join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = composition(join(X1,X0),X2) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))))),bind(Y,$fot(composition(join(X1,join(X1,X0)),X2))),bind(Z,$fot(composition(join(X1,X0),X2)))]]) ).
cnf(refute_1_3557,plain,
( composition(join(X1,join(X1,X0)),X2) != composition(join(X1,X0),X2)
| join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = composition(join(X1,X0),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))),composition(join(X1,join(X1,X0)),X2)) )],[refute_1_3555,refute_1_3556]) ).
cnf(refute_1_3558,plain,
join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) = composition(join(X1,X0),X2),
inference(resolve,[$cnf( $equal(composition(join(X1,join(X1,X0)),X2),composition(join(X1,X0),X2)) )],[refute_1_3540,refute_1_3557]) ).
cnf(refute_1_3559,plain,
( composition(join(X0,X1),X2) != join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))
| join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))) != composition(join(X1,X0),X2)
| composition(join(X0,X1),X2) = composition(join(X1,X0),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),X2),composition(join(X1,X0),X2)) ),[0],$fot(join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_1_3560,plain,
( composition(join(X0,X1),X2) != join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))
| composition(join(X0,X1),X2) = composition(join(X1,X0),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2))),composition(join(X1,X0),X2)) )],[refute_1_3558,refute_1_3559]) ).
cnf(refute_1_3561,plain,
composition(join(X0,X1),X2) = composition(join(X1,X0),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X1,X2),join(composition(X0,X2),composition(X1,X2)))) )],[refute_1_3535,refute_1_3560]) ).
cnf(refute_1_3562,plain,
( composition(join(X0,X1),X2) != composition(join(X1,X0),X2)
| composition(join(X1,X0),X2) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(composition(join(X1,X0),X2)))]]) ).
cnf(refute_1_3563,plain,
composition(join(X1,X0),X2) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),composition(join(X1,X0),X2)) )],[refute_1_3561,refute_1_3562]) ).
cnf(refute_1_3564,plain,
composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254))) = composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(complement(composition(converse(X_1254),complement(X_1254))))),bind(X2,$fot(complement(converse(X_1254))))]]) ).
cnf(refute_1_3565,plain,
join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254))),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(complement(composition(converse(X_1254),complement(X_1254))))),bind(X_633,$fot(complement(converse(X_1254))))]]) ).
cnf(refute_1_3566,plain,
( composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254))) != composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) != composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254)))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))))),bind(Y,$fot(composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254))))),bind(Z,$fot(composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))))]]) ).
cnf(refute_1_3567,plain,
( composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254))) != composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))),composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254)))) )],[refute_1_3565,refute_1_3566]) ).
cnf(refute_1_3568,plain,
join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(converse(X_1254),complement(X_1254))),one),complement(converse(X_1254))),composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))) )],[refute_1_3564,refute_1_3567]) ).
cnf(refute_1_3569,plain,
( composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) != composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) != composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))))),bind(Y,$fot(composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))))),bind(Z,$fot(composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))))]]) ).
cnf(refute_1_3570,plain,
( composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))) != composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))),composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254)))) )],[refute_1_3568,refute_1_3569]) ).
cnf(refute_1_3571,plain,
join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) = composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(converse(X_1254),complement(X_1254)))),complement(converse(X_1254))),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) )],[refute_1_3531,refute_1_3570]) ).
cnf(refute_1_3572,plain,
( join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) != complement(converse(X_1254))
| join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) != composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))
| composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) = complement(converse(X_1254)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))),complement(converse(X_1254))) ),[0],$fot(composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))))]]) ).
cnf(refute_1_3573,plain,
( join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) != complement(converse(X_1254))
| composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) = complement(converse(X_1254)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))) )],[refute_1_3571,refute_1_3572]) ).
cnf(refute_1_3574,plain,
composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254))) = complement(converse(X_1254)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_1254)),composition(complement(composition(converse(X_1254),complement(X_1254))),complement(converse(X_1254)))),complement(converse(X_1254))) )],[refute_1_3526,refute_1_3573]) ).
cnf(refute_1_3575,plain,
composition(complement(composition(converse(composition(X_1226,top)),complement(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) = complement(converse(composition(X_1226,top))),
inference(subst,[],[refute_1_3574:[bind(X_1254,$fot(composition(X_1226,top)))]]) ).
cnf(refute_1_3576,plain,
converse(composition(converse(composition(converse(X_610),X_611)),X_596)) = composition(converse(X_596),composition(converse(X_610),X_611)),
inference(subst,[],[refute_1_80:[bind(X0,$fot(composition(converse(X_610),X_611)))]]) ).
cnf(refute_1_3577,plain,
converse(composition(converse(X_610),X_611)) = composition(converse(X_611),X_610),
inference(subst,[],[refute_1_80:[bind(X0,$fot(X_610)),bind(X_596,$fot(X_611))]]) ).
cnf(refute_1_3578,plain,
( converse(composition(converse(X_610),X_611)) != composition(converse(X_611),X_610)
| converse(composition(converse(composition(converse(X_610),X_611)),X_596)) != composition(converse(X_596),composition(converse(X_610),X_611))
| converse(composition(composition(converse(X_611),X_610),X_596)) = composition(converse(X_596),composition(converse(X_610),X_611)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_610),X_611)),X_596)),composition(converse(X_596),composition(converse(X_610),X_611))) ),[0,0,0],$fot(composition(converse(X_611),X_610))]]) ).
cnf(refute_1_3579,plain,
( converse(composition(converse(composition(converse(X_610),X_611)),X_596)) != composition(converse(X_596),composition(converse(X_610),X_611))
| converse(composition(composition(converse(X_611),X_610),X_596)) = composition(converse(X_596),composition(converse(X_610),X_611)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_610),X_611)),composition(converse(X_611),X_610)) )],[refute_1_3577,refute_1_3578]) ).
cnf(refute_1_3580,plain,
converse(composition(composition(converse(X_611),X_610),X_596)) = composition(converse(X_596),composition(converse(X_610),X_611)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_610),X_611)),X_596)),composition(converse(X_596),composition(converse(X_610),X_611))) )],[refute_1_3576,refute_1_3579]) ).
cnf(refute_1_3581,plain,
converse(composition(converse(X_611),composition(X_610,X_596))) = composition(converse(composition(X_610,X_596)),X_611),
inference(subst,[],[refute_1_80:[bind(X0,$fot(X_611)),bind(X_596,$fot(composition(X_610,X_596)))]]) ).
cnf(refute_1_3582,plain,
composition(composition(converse(X_611),X_610),X_596) = composition(converse(X_611),composition(X_610,X_596)),
inference(subst,[],[refute_1_235:[bind(X0,$fot(converse(X_611))),bind(X1,$fot(X_610)),bind(X2,$fot(X_596))]]) ).
cnf(refute_1_3583,plain,
converse(composition(composition(converse(X_611),X_610),X_596)) = converse(composition(composition(converse(X_611),X_610),X_596)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_611),X_610),X_596)))]]) ).
cnf(refute_1_3584,plain,
( composition(composition(converse(X_611),X_610),X_596) != composition(converse(X_611),composition(X_610,X_596))
| converse(composition(composition(converse(X_611),X_610),X_596)) != converse(composition(composition(converse(X_611),X_610),X_596))
| converse(composition(composition(converse(X_611),X_610),X_596)) = converse(composition(converse(X_611),composition(X_610,X_596))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_611),X_610),X_596)),converse(composition(composition(converse(X_611),X_610),X_596))) ),[1,0],$fot(composition(converse(X_611),composition(X_610,X_596)))]]) ).
cnf(refute_1_3585,plain,
( composition(composition(converse(X_611),X_610),X_596) != composition(converse(X_611),composition(X_610,X_596))
| converse(composition(composition(converse(X_611),X_610),X_596)) = converse(composition(converse(X_611),composition(X_610,X_596))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_611),X_610),X_596)),converse(composition(composition(converse(X_611),X_610),X_596))) )],[refute_1_3583,refute_1_3584]) ).
cnf(refute_1_3586,plain,
converse(composition(composition(converse(X_611),X_610),X_596)) = converse(composition(converse(X_611),composition(X_610,X_596))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_611),X_610),X_596),composition(converse(X_611),composition(X_610,X_596))) )],[refute_1_3582,refute_1_3585]) ).
cnf(refute_1_3587,plain,
( converse(composition(composition(converse(X_611),X_610),X_596)) != converse(composition(converse(X_611),composition(X_610,X_596)))
| converse(composition(converse(X_611),composition(X_610,X_596))) != composition(converse(composition(X_610,X_596)),X_611)
| converse(composition(composition(converse(X_611),X_610),X_596)) = composition(converse(composition(X_610,X_596)),X_611) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(composition(converse(X_611),X_610),X_596)))),bind(Y,$fot(converse(composition(converse(X_611),composition(X_610,X_596))))),bind(Z,$fot(composition(converse(composition(X_610,X_596)),X_611)))]]) ).
cnf(refute_1_3588,plain,
( converse(composition(converse(X_611),composition(X_610,X_596))) != composition(converse(composition(X_610,X_596)),X_611)
| converse(composition(composition(converse(X_611),X_610),X_596)) = composition(converse(composition(X_610,X_596)),X_611) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_611),X_610),X_596)),converse(composition(converse(X_611),composition(X_610,X_596)))) )],[refute_1_3586,refute_1_3587]) ).
cnf(refute_1_3589,plain,
converse(composition(composition(converse(X_611),X_610),X_596)) = composition(converse(composition(X_610,X_596)),X_611),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_611),composition(X_610,X_596))),composition(converse(composition(X_610,X_596)),X_611)) )],[refute_1_3581,refute_1_3588]) ).
cnf(refute_1_3590,plain,
( converse(composition(composition(converse(X_611),X_610),X_596)) != composition(converse(X_596),composition(converse(X_610),X_611))
| converse(composition(composition(converse(X_611),X_610),X_596)) != composition(converse(composition(X_610,X_596)),X_611)
| composition(converse(composition(X_610,X_596)),X_611) = composition(converse(X_596),composition(converse(X_610),X_611)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_611),X_610),X_596)),composition(converse(X_596),composition(converse(X_610),X_611))) ),[0],$fot(composition(converse(composition(X_610,X_596)),X_611))]]) ).
cnf(refute_1_3591,plain,
( converse(composition(composition(converse(X_611),X_610),X_596)) != composition(converse(X_596),composition(converse(X_610),X_611))
| composition(converse(composition(X_610,X_596)),X_611) = composition(converse(X_596),composition(converse(X_610),X_611)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_611),X_610),X_596)),composition(converse(composition(X_610,X_596)),X_611)) )],[refute_1_3589,refute_1_3590]) ).
cnf(refute_1_3592,plain,
composition(converse(composition(X_610,X_596)),X_611) = composition(converse(X_596),composition(converse(X_610),X_611)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_611),X_610),X_596)),composition(converse(X_596),composition(converse(X_610),X_611))) )],[refute_1_3580,refute_1_3591]) ).
cnf(refute_1_3593,plain,
composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = composition(converse(X_1225),composition(converse(X_1226),complement(composition(X_1226,top)))),
inference(subst,[],[refute_1_3592:[bind(X_596,$fot(X_1225)),bind(X_610,$fot(X_1226)),bind(X_611,$fot(complement(composition(X_1226,top))))]]) ).
cnf(refute_1_3594,plain,
join(zero,composition(converse(X_616),complement(composition(X_616,top)))) = composition(converse(X_616),complement(composition(X_616,top))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(composition(converse(X_616),complement(composition(X_616,top)))))]]) ).
cnf(refute_1_3595,plain,
( join(zero,composition(converse(X_616),complement(composition(X_616,top)))) != composition(converse(X_616),complement(composition(X_616,top)))
| join(zero,composition(converse(X_616),complement(composition(X_616,top)))) != zero
| composition(converse(X_616),complement(composition(X_616,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_616),complement(composition(X_616,top)))),zero) ),[0],$fot(composition(converse(X_616),complement(composition(X_616,top))))]]) ).
cnf(refute_1_3596,plain,
( join(zero,composition(converse(X_616),complement(composition(X_616,top)))) != zero
| composition(converse(X_616),complement(composition(X_616,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_616),complement(composition(X_616,top)))),composition(converse(X_616),complement(composition(X_616,top)))) )],[refute_1_3594,refute_1_3595]) ).
cnf(refute_1_3597,plain,
composition(converse(X_616),complement(composition(X_616,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_616),complement(composition(X_616,top)))),zero) )],[refute_1_3311,refute_1_3596]) ).
cnf(refute_1_3598,plain,
composition(converse(X_1226),complement(composition(X_1226,top))) = zero,
inference(subst,[],[refute_1_3597:[bind(X_616,$fot(X_1226))]]) ).
cnf(refute_1_3599,plain,
( composition(converse(X_1226),complement(composition(X_1226,top))) != zero
| composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) != composition(converse(X_1225),composition(converse(X_1226),complement(composition(X_1226,top))))
| composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = composition(converse(X_1225),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))),composition(converse(X_1225),composition(converse(X_1226),complement(composition(X_1226,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_3600,plain,
( composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) != composition(converse(X_1225),composition(converse(X_1226),complement(composition(X_1226,top))))
| composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = composition(converse(X_1225),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X_1226),complement(composition(X_1226,top))),zero) )],[refute_1_3598,refute_1_3599]) ).
cnf(refute_1_3601,plain,
composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = composition(converse(X_1225),zero),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))),composition(converse(X_1225),composition(converse(X_1226),complement(composition(X_1226,top))))) )],[refute_1_3593,refute_1_3600]) ).
cnf(refute_1_3602,plain,
composition(join(top,X1),zero) = join(composition(top,zero),composition(X1,zero)),
inference(subst,[],[refute_1_163:[bind(X0,$fot(top)),bind(X2,$fot(zero))]]) ).
cnf(refute_1_3603,plain,
join(complement(top),composition(converse(top),complement(composition(top,top)))) = complement(top),
inference(subst,[],[refute_1_73:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_1_3604,plain,
composition(join(X_631,one),top) = join(top,composition(X_631,top)),
inference(subst,[],[refute_1_174:[bind(X_633,$fot(top))]]) ).
cnf(refute_1_3605,plain,
top = join(top,composition(X_631,top)),
inference(subst,[],[refute_1_372:[bind(X1,$fot(composition(X_631,top)))]]) ).
cnf(refute_1_3606,plain,
( top != join(top,composition(X_631,top))
| join(top,composition(X_631,top)) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,composition(X_631,top))))]]) ).
cnf(refute_1_3607,plain,
join(top,composition(X_631,top)) = top,
inference(resolve,[$cnf( $equal(top,join(top,composition(X_631,top))) )],[refute_1_3605,refute_1_3606]) ).
cnf(refute_1_3608,plain,
( composition(join(X_631,one),top) != join(top,composition(X_631,top))
| join(top,composition(X_631,top)) != top
| composition(join(X_631,one),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_631,one),top),top) ),[0],$fot(join(top,composition(X_631,top)))]]) ).
cnf(refute_1_3609,plain,
( composition(join(X_631,one),top) != join(top,composition(X_631,top))
| composition(join(X_631,one),top) = top ),
inference(resolve,[$cnf( $equal(join(top,composition(X_631,top)),top) )],[refute_1_3607,refute_1_3608]) ).
cnf(refute_1_3610,plain,
composition(join(X_631,one),top) = top,
inference(resolve,[$cnf( $equal(composition(join(X_631,one),top),join(top,composition(X_631,top))) )],[refute_1_3604,refute_1_3609]) ).
cnf(refute_1_3611,plain,
composition(join(top,one),top) = top,
inference(subst,[],[refute_1_3610:[bind(X_631,$fot(top))]]) ).
cnf(refute_1_3612,plain,
( composition(join(top,one),top) != top
| join(top,one) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),top),top) ),[0,0],$fot(top)]]) ).
cnf(refute_1_3613,plain,
( composition(join(top,one),top) != top
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_1_1742,refute_1_3612]) ).
cnf(refute_1_3614,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(join(top,one),top),top) )],[refute_1_3611,refute_1_3613]) ).
cnf(refute_1_3615,plain,
( composition(top,top) != top
| join(complement(top),composition(converse(top),complement(composition(top,top)))) != complement(top)
| join(complement(top),composition(converse(top),complement(top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(top),complement(composition(top,top)))),complement(top)) ),[0,1,1,0],$fot(top)]]) ).
cnf(refute_1_3616,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( $equal(composition(top,top),top) )],[refute_1_3614,refute_1_3615]) ).
cnf(refute_1_3617,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(composition(top,top)))),complement(top)) )],[refute_1_3603,refute_1_3616]) ).
cnf(refute_1_3618,plain,
composition(top,complement(top)) = composition(top,complement(top)),
introduced(tautology,[refl,[$fot(composition(top,complement(top)))]]) ).
cnf(refute_1_3619,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_1_3620,plain,
( complement(top) != zero
| composition(top,complement(top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) )],[refute_1_3618,refute_1_3619]) ).
cnf(refute_1_3621,plain,
composition(top,complement(top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_3620]) ).
cnf(refute_1_3622,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_1_3623,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_1_3624,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_1_3622,refute_1_3623]) ).
cnf(refute_1_3625,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_3624]) ).
cnf(refute_1_3626,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_3627,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_1_3625,refute_1_3626]) ).
cnf(refute_1_3628,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_3627]) ).
cnf(refute_1_3629,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_1_1436:[bind(X1,$fot(top))]]) ).
cnf(refute_1_3630,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_3631,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_1_3629,refute_1_3630]) ).
cnf(refute_1_3632,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_1_3628,refute_1_3631]) ).
cnf(refute_1_3633,plain,
composition(join(one,converse(top)),complement(top)) = composition(join(one,converse(top)),complement(top)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(top)))]]) ).
cnf(refute_1_3634,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_1_3635,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(top)) = composition(top,complement(top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(join(one,converse(top)),complement(top))) )],[refute_1_3633,refute_1_3634]) ).
cnf(refute_1_3636,plain,
composition(join(one,converse(top)),complement(top)) = composition(top,complement(top)),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_1_3632,refute_1_3635]) ).
cnf(refute_1_3637,plain,
( composition(join(one,converse(top)),complement(top)) != composition(top,complement(top))
| composition(top,complement(top)) != composition(top,zero)
| composition(join(one,converse(top)),complement(top)) = composition(top,zero) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(one,converse(top)),complement(top)))),bind(Y,$fot(composition(top,complement(top)))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_1_3638,plain,
( composition(top,complement(top)) != composition(top,zero)
| composition(join(one,converse(top)),complement(top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(top,complement(top))) )],[refute_1_3636,refute_1_3637]) ).
cnf(refute_1_3639,plain,
composition(join(one,converse(top)),complement(top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,zero)) )],[refute_1_3621,refute_1_3638]) ).
cnf(refute_1_3640,plain,
composition(join(converse(top),one),complement(top)) = composition(join(one,converse(top)),complement(top)),
inference(subst,[],[refute_1_2083:[bind(X_634,$fot(converse(top))),bind(X_635,$fot(complement(top)))]]) ).
cnf(refute_1_3641,plain,
join(complement(top),composition(converse(top),complement(top))) = composition(join(converse(top),one),complement(top)),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(converse(top))),bind(X_633,$fot(complement(top)))]]) ).
cnf(refute_1_3642,plain,
( composition(join(converse(top),one),complement(top)) != composition(join(one,converse(top)),complement(top))
| join(complement(top),composition(converse(top),complement(top))) != composition(join(converse(top),one),complement(top))
| join(complement(top),composition(converse(top),complement(top))) = composition(join(one,converse(top)),complement(top)) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_3643,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( $equal(join(complement(top),composition(converse(top),complement(top))),composition(join(converse(top),one),complement(top))) )],[refute_1_3641,refute_1_3642]) ).
cnf(refute_1_3644,plain,
join(complement(top),composition(converse(top),complement(top))) = composition(join(one,converse(top)),complement(top)),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(top)),composition(join(one,converse(top)),complement(top))) )],[refute_1_3640,refute_1_3643]) ).
cnf(refute_1_3645,plain,
( composition(join(one,converse(top)),complement(top)) != composition(top,zero)
| join(complement(top),composition(converse(top),complement(top))) != composition(join(one,converse(top)),complement(top))
| join(complement(top),composition(converse(top),complement(top))) = composition(top,zero) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_3646,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( $equal(join(complement(top),composition(converse(top),complement(top))),composition(join(one,converse(top)),complement(top))) )],[refute_1_3644,refute_1_3645]) ).
cnf(refute_1_3647,plain,
join(complement(top),composition(converse(top),complement(top))) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(top,zero)) )],[refute_1_3639,refute_1_3646]) ).
cnf(refute_1_3648,plain,
( join(complement(top),composition(converse(top),complement(top))) != complement(top)
| join(complement(top),composition(converse(top),complement(top))) != composition(top,zero)
| composition(top,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),complement(top)) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_1_3649,plain,
( join(complement(top),composition(converse(top),complement(top))) != complement(top)
| composition(top,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),composition(top,zero)) )],[refute_1_3647,refute_1_3648]) ).
cnf(refute_1_3650,plain,
( complement(top) != zero
| composition(top,zero) != complement(top)
| composition(top,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_3651,plain,
( composition(top,zero) != complement(top)
| composition(top,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_3650]) ).
cnf(refute_1_3652,plain,
( join(complement(top),composition(converse(top),complement(top))) != complement(top)
| composition(top,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(top,zero),complement(top)) )],[refute_1_3649,refute_1_3651]) ).
cnf(refute_1_3653,plain,
composition(top,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),complement(top)) )],[refute_1_3617,refute_1_3652]) ).
cnf(refute_1_3654,plain,
( composition(join(top,X1),zero) != join(composition(top,zero),composition(X1,zero))
| composition(top,zero) != zero
| composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),zero),join(composition(top,zero),composition(X1,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_3655,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( $equal(composition(top,zero),zero) )],[refute_1_3653,refute_1_3654]) ).
cnf(refute_1_3656,plain,
composition(join(top,X1),zero) = join(zero,composition(X1,zero)),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),join(composition(top,zero),composition(X1,zero))) )],[refute_1_3602,refute_1_3655]) ).
cnf(refute_1_3657,plain,
composition(join(top,X1),zero) = composition(join(top,X1),zero),
introduced(tautology,[refl,[$fot(composition(join(top,X1),zero))]]) ).
cnf(refute_1_3658,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_1_3659,plain,
( join(top,X1) != top
| composition(join(top,X1),zero) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),composition(join(top,X1),zero)) )],[refute_1_3657,refute_1_3658]) ).
cnf(refute_1_3660,plain,
composition(join(top,X1),zero) = composition(top,zero),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_1_374,refute_1_3659]) ).
cnf(refute_1_3661,plain,
( composition(join(top,X1),zero) != composition(top,zero)
| composition(top,zero) != zero
| composition(join(top,X1),zero) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(top,X1),zero))),bind(Y,$fot(composition(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_3662,plain,
( composition(top,zero) != zero
| composition(join(top,X1),zero) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),composition(top,zero)) )],[refute_1_3660,refute_1_3661]) ).
cnf(refute_1_3663,plain,
composition(join(top,X1),zero) = zero,
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_1_3653,refute_1_3662]) ).
cnf(refute_1_3664,plain,
( composition(join(top,X1),zero) != join(zero,composition(X1,zero))
| composition(join(top,X1),zero) != zero
| zero = join(zero,composition(X1,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),zero),join(zero,composition(X1,zero))) ),[0],$fot(zero)]]) ).
cnf(refute_1_3665,plain,
( composition(join(top,X1),zero) != join(zero,composition(X1,zero))
| zero = join(zero,composition(X1,zero)) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),zero) )],[refute_1_3663,refute_1_3664]) ).
cnf(refute_1_3666,plain,
join(zero,composition(X1,zero)) = composition(X1,zero),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(composition(X1,zero)))]]) ).
cnf(refute_1_3667,plain,
( join(zero,composition(X1,zero)) != composition(X1,zero)
| zero != join(zero,composition(X1,zero))
| zero = composition(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,composition(X1,zero))) ),[1],$fot(composition(X1,zero))]]) ).
cnf(refute_1_3668,plain,
( zero != join(zero,composition(X1,zero))
| zero = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X1,zero)),composition(X1,zero)) )],[refute_1_3666,refute_1_3667]) ).
cnf(refute_1_3669,plain,
( composition(join(top,X1),zero) != join(zero,composition(X1,zero))
| zero = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(zero,join(zero,composition(X1,zero))) )],[refute_1_3665,refute_1_3668]) ).
cnf(refute_1_3670,plain,
zero = composition(X1,zero),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),join(zero,composition(X1,zero))) )],[refute_1_3656,refute_1_3669]) ).
cnf(refute_1_3671,plain,
( zero != composition(X1,zero)
| composition(X1,zero) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(X1,zero)))]]) ).
cnf(refute_1_3672,plain,
composition(X1,zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X1,zero)) )],[refute_1_3670,refute_1_3671]) ).
cnf(refute_1_3673,plain,
composition(converse(X_1225),zero) = zero,
inference(subst,[],[refute_1_3672:[bind(X1,$fot(converse(X_1225)))]]) ).
cnf(refute_1_3674,plain,
( composition(converse(X_1225),zero) != zero
| composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) != composition(converse(X_1225),zero)
| composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))),composition(converse(X_1225),zero)) ),[1],$fot(zero)]]) ).
cnf(refute_1_3675,plain,
( composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) != composition(converse(X_1225),zero)
| composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_1225),zero),zero) )],[refute_1_3673,refute_1_3674]) ).
cnf(refute_1_3676,plain,
composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(X_1226,X_1225)),complement(composition(X_1226,top))),composition(converse(X_1225),zero)) )],[refute_1_3601,refute_1_3675]) ).
cnf(refute_1_3677,plain,
composition(converse(composition(X_1226,top)),complement(composition(X_1226,top))) = zero,
inference(subst,[],[refute_1_3676:[bind(X_1225,$fot(top))]]) ).
cnf(refute_1_3678,plain,
( composition(complement(composition(converse(composition(X_1226,top)),complement(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) != complement(converse(composition(X_1226,top)))
| composition(converse(composition(X_1226,top)),complement(composition(X_1226,top))) != zero
| composition(complement(zero),complement(converse(composition(X_1226,top)))) = complement(converse(composition(X_1226,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(converse(composition(X_1226,top)),complement(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_1_3679,plain,
( composition(complement(composition(converse(composition(X_1226,top)),complement(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) != complement(converse(composition(X_1226,top)))
| composition(complement(zero),complement(converse(composition(X_1226,top)))) = complement(converse(composition(X_1226,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_1226,top)),complement(composition(X_1226,top))),zero) )],[refute_1_3677,refute_1_3678]) ).
cnf(refute_1_3680,plain,
composition(complement(zero),complement(converse(composition(X_1226,top)))) = complement(converse(composition(X_1226,top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(converse(composition(X_1226,top)),complement(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) )],[refute_1_3575,refute_1_3679]) ).
cnf(refute_1_3681,plain,
converse(composition(complement(X_938),top)) = composition(top,converse(complement(X_938))),
inference(subst,[],[refute_1_3374:[bind(X_595,$fot(complement(X_938)))]]) ).
cnf(refute_1_3682,plain,
( converse(complement(X_938)) != complement(converse(X_938))
| converse(composition(complement(X_938),top)) != composition(top,converse(complement(X_938)))
| converse(composition(complement(X_938),top)) = composition(top,complement(converse(X_938))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_938),top)),composition(top,converse(complement(X_938)))) ),[1,1],$fot(complement(converse(X_938)))]]) ).
cnf(refute_1_3683,plain,
( converse(composition(complement(X_938),top)) != composition(top,converse(complement(X_938)))
| converse(composition(complement(X_938),top)) = composition(top,complement(converse(X_938))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_938)),complement(converse(X_938))) )],[refute_1_3395,refute_1_3682]) ).
cnf(refute_1_3684,plain,
converse(composition(complement(X_938),top)) = composition(top,complement(converse(X_938))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_938),top)),composition(top,converse(complement(X_938)))) )],[refute_1_3681,refute_1_3683]) ).
cnf(refute_1_3685,plain,
( converse(composition(complement(X_938),top)) != composition(top,complement(converse(X_938)))
| composition(top,complement(converse(X_938))) = converse(composition(complement(X_938),top)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(complement(X_938),top)))),bind(Y,$fot(composition(top,complement(converse(X_938)))))]]) ).
cnf(refute_1_3686,plain,
composition(top,complement(converse(X_938))) = converse(composition(complement(X_938),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_938),top)),composition(top,complement(converse(X_938)))) )],[refute_1_3684,refute_1_3685]) ).
cnf(refute_1_3687,plain,
composition(top,complement(converse(composition(X_1226,top)))) = converse(composition(complement(composition(X_1226,top)),top)),
inference(subst,[],[refute_1_3686:[bind(X_938,$fot(composition(X_1226,top)))]]) ).
cnf(refute_1_3688,plain,
composition(complement(zero),complement(converse(composition(X_1226,top)))) = composition(complement(zero),complement(converse(composition(X_1226,top)))),
introduced(tautology,[refl,[$fot(composition(complement(zero),complement(converse(composition(X_1226,top)))))]]) ).
cnf(refute_1_3689,plain,
( complement(zero) != top
| composition(complement(zero),complement(converse(composition(X_1226,top)))) != composition(complement(zero),complement(converse(composition(X_1226,top))))
| composition(complement(zero),complement(converse(composition(X_1226,top)))) = composition(top,complement(converse(composition(X_1226,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(zero),complement(converse(composition(X_1226,top)))),composition(complement(zero),complement(converse(composition(X_1226,top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_3690,plain,
( complement(zero) != top
| composition(complement(zero),complement(converse(composition(X_1226,top)))) = composition(top,complement(converse(composition(X_1226,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(zero),complement(converse(composition(X_1226,top)))),composition(complement(zero),complement(converse(composition(X_1226,top))))) )],[refute_1_3688,refute_1_3689]) ).
cnf(refute_1_3691,plain,
composition(complement(zero),complement(converse(composition(X_1226,top)))) = composition(top,complement(converse(composition(X_1226,top)))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_3690]) ).
cnf(refute_1_3692,plain,
( composition(complement(zero),complement(converse(composition(X_1226,top)))) != composition(top,complement(converse(composition(X_1226,top))))
| composition(top,complement(converse(composition(X_1226,top)))) != converse(composition(complement(composition(X_1226,top)),top))
| composition(complement(zero),complement(converse(composition(X_1226,top)))) = converse(composition(complement(composition(X_1226,top)),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(complement(zero),complement(converse(composition(X_1226,top)))))),bind(Y,$fot(composition(top,complement(converse(composition(X_1226,top)))))),bind(Z,$fot(converse(composition(complement(composition(X_1226,top)),top))))]]) ).
cnf(refute_1_3693,plain,
( composition(top,complement(converse(composition(X_1226,top)))) != converse(composition(complement(composition(X_1226,top)),top))
| composition(complement(zero),complement(converse(composition(X_1226,top)))) = converse(composition(complement(composition(X_1226,top)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(zero),complement(converse(composition(X_1226,top)))),composition(top,complement(converse(composition(X_1226,top))))) )],[refute_1_3691,refute_1_3692]) ).
cnf(refute_1_3694,plain,
composition(complement(zero),complement(converse(composition(X_1226,top)))) = converse(composition(complement(composition(X_1226,top)),top)),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_1226,top)))),converse(composition(complement(composition(X_1226,top)),top))) )],[refute_1_3687,refute_1_3693]) ).
cnf(refute_1_3695,plain,
( composition(complement(zero),complement(converse(composition(X_1226,top)))) != complement(converse(composition(X_1226,top)))
| composition(complement(zero),complement(converse(composition(X_1226,top)))) != converse(composition(complement(composition(X_1226,top)),top))
| converse(composition(complement(composition(X_1226,top)),top)) = complement(converse(composition(X_1226,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(zero),complement(converse(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) ),[0],$fot(converse(composition(complement(composition(X_1226,top)),top)))]]) ).
cnf(refute_1_3696,plain,
( composition(complement(zero),complement(converse(composition(X_1226,top)))) != complement(converse(composition(X_1226,top)))
| converse(composition(complement(composition(X_1226,top)),top)) = complement(converse(composition(X_1226,top))) ),
inference(resolve,[$cnf( $equal(composition(complement(zero),complement(converse(composition(X_1226,top)))),converse(composition(complement(composition(X_1226,top)),top))) )],[refute_1_3694,refute_1_3695]) ).
cnf(refute_1_3697,plain,
converse(composition(complement(composition(X_1226,top)),top)) = complement(converse(composition(X_1226,top))),
inference(resolve,[$cnf( $equal(composition(complement(zero),complement(converse(composition(X_1226,top)))),complement(converse(composition(X_1226,top)))) )],[refute_1_3680,refute_1_3696]) ).
cnf(refute_1_3698,plain,
converse(composition(complement(composition(composition(X0,X1),top)),top)) = complement(converse(composition(composition(X0,X1),top))),
inference(subst,[],[refute_1_3697:[bind(X_1226,$fot(composition(X0,X1)))]]) ).
cnf(refute_1_3699,plain,
composition(X0,composition(X1,top)) = composition(composition(X0,X1),top),
inference(subst,[],[refute_1_233:[bind(X2,$fot(top))]]) ).
cnf(refute_1_3700,plain,
( composition(X0,composition(X1,top)) != composition(composition(X0,X1),top)
| composition(composition(X0,X1),top) = composition(X0,composition(X1,top)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(X0,composition(X1,top)))),bind(Y,$fot(composition(composition(X0,X1),top)))]]) ).
cnf(refute_1_3701,plain,
composition(composition(X0,X1),top) = composition(X0,composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,top)),composition(composition(X0,X1),top)) )],[refute_1_3699,refute_1_3700]) ).
cnf(refute_1_3702,plain,
( composition(composition(X0,X1),top) != composition(X0,composition(X1,top))
| converse(composition(complement(composition(composition(X0,X1),top)),top)) != complement(converse(composition(composition(X0,X1),top)))
| converse(composition(complement(composition(X0,composition(X1,top))),top)) = complement(converse(composition(composition(X0,X1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(composition(X0,X1),top)),top)),complement(converse(composition(composition(X0,X1),top)))) ),[0,0,0,0],$fot(composition(X0,composition(X1,top)))]]) ).
cnf(refute_1_3703,plain,
( converse(composition(complement(composition(composition(X0,X1),top)),top)) != complement(converse(composition(composition(X0,X1),top)))
| converse(composition(complement(composition(X0,composition(X1,top))),top)) = complement(converse(composition(composition(X0,X1),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),top),composition(X0,composition(X1,top))) )],[refute_1_3701,refute_1_3702]) ).
cnf(refute_1_3704,plain,
converse(composition(complement(composition(X0,composition(X1,top))),top)) = complement(converse(composition(composition(X0,X1),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(composition(X0,X1),top)),top)),complement(converse(composition(composition(X0,X1),top)))) )],[refute_1_3698,refute_1_3703]) ).
cnf(refute_1_3705,plain,
converse(composition(composition(X0,X1),top)) = converse(composition(composition(X0,X1),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(X0,X1),top)))]]) ).
cnf(refute_1_3706,plain,
( composition(composition(X0,X1),top) != composition(X0,composition(X1,top))
| converse(composition(composition(X0,X1),top)) != converse(composition(composition(X0,X1),top))
| converse(composition(composition(X0,X1),top)) = converse(composition(X0,composition(X1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(X0,X1),top)),converse(composition(composition(X0,X1),top))) ),[1,0],$fot(composition(X0,composition(X1,top)))]]) ).
cnf(refute_1_3707,plain,
( composition(composition(X0,X1),top) != composition(X0,composition(X1,top))
| converse(composition(composition(X0,X1),top)) = converse(composition(X0,composition(X1,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(X0,X1),top)),converse(composition(composition(X0,X1),top))) )],[refute_1_3705,refute_1_3706]) ).
cnf(refute_1_3708,plain,
converse(composition(composition(X0,X1),top)) = converse(composition(X0,composition(X1,top))),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),top),composition(X0,composition(X1,top))) )],[refute_1_3701,refute_1_3707]) ).
cnf(refute_1_3709,plain,
complement(converse(composition(composition(X0,X1),top))) = complement(converse(composition(composition(X0,X1),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(composition(X0,X1),top))))]]) ).
cnf(refute_1_3710,plain,
( complement(converse(composition(composition(X0,X1),top))) != complement(converse(composition(composition(X0,X1),top)))
| converse(composition(composition(X0,X1),top)) != converse(composition(X0,composition(X1,top)))
| complement(converse(composition(composition(X0,X1),top))) = complement(converse(composition(X0,composition(X1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(composition(X0,X1),top))),complement(converse(composition(composition(X0,X1),top)))) ),[1,0],$fot(converse(composition(X0,composition(X1,top))))]]) ).
cnf(refute_1_3711,plain,
( converse(composition(composition(X0,X1),top)) != converse(composition(X0,composition(X1,top)))
| complement(converse(composition(composition(X0,X1),top))) = complement(converse(composition(X0,composition(X1,top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(composition(X0,X1),top))),complement(converse(composition(composition(X0,X1),top)))) )],[refute_1_3709,refute_1_3710]) ).
cnf(refute_1_3712,plain,
complement(converse(composition(composition(X0,X1),top))) = complement(converse(composition(X0,composition(X1,top)))),
inference(resolve,[$cnf( $equal(converse(composition(composition(X0,X1),top)),converse(composition(X0,composition(X1,top)))) )],[refute_1_3708,refute_1_3711]) ).
cnf(refute_1_3713,plain,
( complement(converse(composition(composition(X0,X1),top))) != complement(converse(composition(X0,composition(X1,top))))
| converse(composition(complement(composition(X0,composition(X1,top))),top)) != complement(converse(composition(composition(X0,X1),top)))
| converse(composition(complement(composition(X0,composition(X1,top))),top)) = complement(converse(composition(X0,composition(X1,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(X0,composition(X1,top))),top)),complement(converse(composition(composition(X0,X1),top)))) ),[1],$fot(complement(converse(composition(X0,composition(X1,top)))))]]) ).
cnf(refute_1_3714,plain,
( converse(composition(complement(composition(X0,composition(X1,top))),top)) != complement(converse(composition(composition(X0,X1),top)))
| converse(composition(complement(composition(X0,composition(X1,top))),top)) = complement(converse(composition(X0,composition(X1,top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(composition(X0,X1),top))),complement(converse(composition(X0,composition(X1,top))))) )],[refute_1_3712,refute_1_3713]) ).
cnf(refute_1_3715,plain,
converse(composition(complement(composition(X0,composition(X1,top))),top)) = complement(converse(composition(X0,composition(X1,top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(X0,composition(X1,top))),top)),complement(converse(composition(composition(X0,X1),top)))) )],[refute_1_3704,refute_1_3714]) ).
cnf(refute_1_3716,plain,
converse(composition(complement(composition(top,composition(X_596,top))),top)) = complement(converse(composition(top,composition(X_596,top)))),
inference(subst,[],[refute_1_3715:[bind(X0,$fot(top)),bind(X1,$fot(X_596))]]) ).
cnf(refute_1_3717,plain,
composition(top,complement(converse(composition(top,composition(X_596,top))))) = converse(composition(complement(composition(top,composition(X_596,top))),top)),
inference(subst,[],[refute_1_3686:[bind(X_938,$fot(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3718,plain,
( composition(top,complement(converse(composition(top,composition(X_596,top))))) != converse(composition(complement(composition(top,composition(X_596,top))),top))
| converse(composition(complement(composition(top,composition(X_596,top))),top)) != complement(converse(composition(top,composition(X_596,top))))
| composition(top,complement(converse(composition(top,composition(X_596,top))))) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,complement(converse(composition(top,composition(X_596,top))))))),bind(Y,$fot(converse(composition(complement(composition(top,composition(X_596,top))),top)))),bind(Z,$fot(complement(converse(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3719,plain,
( converse(composition(complement(composition(top,composition(X_596,top))),top)) != complement(converse(composition(top,composition(X_596,top))))
| composition(top,complement(converse(composition(top,composition(X_596,top))))) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(X_596,top))))),converse(composition(complement(composition(top,composition(X_596,top))),top))) )],[refute_1_3717,refute_1_3718]) ).
cnf(refute_1_3720,plain,
composition(top,complement(converse(composition(top,composition(X_596,top))))) = complement(converse(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(X_596,top))),top)),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3716,refute_1_3719]) ).
cnf(refute_1_3721,plain,
converse(complement(composition(top,composition(X_596,top)))) = complement(converse(composition(top,composition(X_596,top)))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3722,plain,
join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,composition(top,X_1136))))) = complement(composition(top,X_1136)),
inference(subst,[],[refute_1_73:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_1136)))]]) ).
cnf(refute_1_3723,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_1_233:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_1_3724,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_3725,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_1_3614,refute_1_3724]) ).
cnf(refute_1_3726,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_1_3723,refute_1_3725]) ).
cnf(refute_1_3727,plain,
composition(top,composition(top,X_1136)) = composition(top,X_1136),
inference(subst,[],[refute_1_3726:[bind(X2,$fot(X_1136))]]) ).
cnf(refute_1_3728,plain,
( composition(top,composition(top,X_1136)) != composition(top,X_1136)
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,composition(top,X_1136))))) != complement(composition(top,X_1136))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = complement(composition(top,X_1136)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,composition(top,X_1136))))),complement(composition(top,X_1136))) ),[0,1,1,0],$fot(composition(top,X_1136))]]) ).
cnf(refute_1_3729,plain,
( join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,composition(top,X_1136))))) != complement(composition(top,X_1136))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = complement(composition(top,X_1136)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_1136)),composition(top,X_1136)) )],[refute_1_3727,refute_1_3728]) ).
cnf(refute_1_3730,plain,
join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = complement(composition(top,X_1136)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,composition(top,X_1136))))),complement(composition(top,X_1136))) )],[refute_1_3722,refute_1_3729]) ).
cnf(refute_1_3731,plain,
composition(join(one,converse(top)),complement(composition(top,X_1136))) = composition(join(one,converse(top)),complement(composition(top,X_1136))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_1136))))]]) ).
cnf(refute_1_3732,plain,
( composition(join(one,converse(top)),complement(composition(top,X_1136))) != composition(join(one,converse(top)),complement(composition(top,X_1136)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_1136))) = composition(top,complement(composition(top,X_1136))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_1136))),composition(join(one,converse(top)),complement(composition(top,X_1136)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_3733,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_1136))) = composition(top,complement(composition(top,X_1136))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_1136))),composition(join(one,converse(top)),complement(composition(top,X_1136)))) )],[refute_1_3731,refute_1_3732]) ).
cnf(refute_1_3734,plain,
composition(join(one,converse(top)),complement(composition(top,X_1136))) = composition(top,complement(composition(top,X_1136))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_1_3632,refute_1_3733]) ).
cnf(refute_1_3735,plain,
composition(join(converse(top),one),complement(composition(top,X_1136))) = composition(join(one,converse(top)),complement(composition(top,X_1136))),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(converse(top))),bind(X2,$fot(complement(composition(top,X_1136))))]]) ).
cnf(refute_1_3736,plain,
join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(join(converse(top),one),complement(composition(top,X_1136))),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(converse(top))),bind(X_633,$fot(complement(composition(top,X_1136))))]]) ).
cnf(refute_1_3737,plain,
( composition(join(converse(top),one),complement(composition(top,X_1136))) != composition(join(one,converse(top)),complement(composition(top,X_1136)))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) != composition(join(converse(top),one),complement(composition(top,X_1136)))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(join(one,converse(top)),complement(composition(top,X_1136))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_1136))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_1136)))))]]) ).
cnf(refute_1_3738,plain,
( composition(join(converse(top),one),complement(composition(top,X_1136))) != composition(join(one,converse(top)),complement(composition(top,X_1136)))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(join(one,converse(top)),complement(composition(top,X_1136))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))),composition(join(converse(top),one),complement(composition(top,X_1136)))) )],[refute_1_3736,refute_1_3737]) ).
cnf(refute_1_3739,plain,
join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(join(one,converse(top)),complement(composition(top,X_1136))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_1136))),composition(join(one,converse(top)),complement(composition(top,X_1136)))) )],[refute_1_3735,refute_1_3738]) ).
cnf(refute_1_3740,plain,
( composition(join(one,converse(top)),complement(composition(top,X_1136))) != composition(top,complement(composition(top,X_1136)))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) != composition(join(one,converse(top)),complement(composition(top,X_1136)))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(top,complement(composition(top,X_1136))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_1136))))),bind(Z,$fot(composition(top,complement(composition(top,X_1136)))))]]) ).
cnf(refute_1_3741,plain,
( composition(join(one,converse(top)),complement(composition(top,X_1136))) != composition(top,complement(composition(top,X_1136)))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(top,complement(composition(top,X_1136))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))),composition(join(one,converse(top)),complement(composition(top,X_1136)))) )],[refute_1_3739,refute_1_3740]) ).
cnf(refute_1_3742,plain,
join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) = composition(top,complement(composition(top,X_1136))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_1136))),composition(top,complement(composition(top,X_1136)))) )],[refute_1_3734,refute_1_3741]) ).
cnf(refute_1_3743,plain,
( join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) != complement(composition(top,X_1136))
| join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) != composition(top,complement(composition(top,X_1136)))
| composition(top,complement(composition(top,X_1136))) = complement(composition(top,X_1136)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))),complement(composition(top,X_1136))) ),[0],$fot(composition(top,complement(composition(top,X_1136))))]]) ).
cnf(refute_1_3744,plain,
( join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))) != complement(composition(top,X_1136))
| composition(top,complement(composition(top,X_1136))) = complement(composition(top,X_1136)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))),composition(top,complement(composition(top,X_1136)))) )],[refute_1_3742,refute_1_3743]) ).
cnf(refute_1_3745,plain,
composition(top,complement(composition(top,X_1136))) = complement(composition(top,X_1136)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_1136)),composition(converse(top),complement(composition(top,X_1136)))),complement(composition(top,X_1136))) )],[refute_1_3730,refute_1_3744]) ).
cnf(refute_1_3746,plain,
composition(top,complement(composition(top,composition(X_596,top)))) = complement(composition(top,composition(X_596,top))),
inference(subst,[],[refute_1_3745:[bind(X_1136,$fot(composition(X_596,top)))]]) ).
cnf(refute_1_3747,plain,
converse(composition(top,complement(composition(top,composition(X_596,top))))) = converse(composition(top,complement(composition(top,composition(X_596,top))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3748,plain,
( composition(top,complement(composition(top,composition(X_596,top)))) != complement(composition(top,composition(X_596,top)))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) != converse(composition(top,complement(composition(top,composition(X_596,top)))))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) = converse(complement(composition(top,composition(X_596,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(X_596,top))))),converse(composition(top,complement(composition(top,composition(X_596,top)))))) ),[1,0],$fot(complement(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3749,plain,
( composition(top,complement(composition(top,composition(X_596,top)))) != complement(composition(top,composition(X_596,top)))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) = converse(complement(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(X_596,top))))),converse(composition(top,complement(composition(top,composition(X_596,top)))))) )],[refute_1_3747,refute_1_3748]) ).
cnf(refute_1_3750,plain,
converse(composition(top,complement(composition(top,composition(X_596,top))))) = converse(complement(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(X_596,top)))),complement(composition(top,composition(X_596,top)))) )],[refute_1_3746,refute_1_3749]) ).
cnf(refute_1_3751,plain,
( converse(complement(composition(top,composition(X_596,top)))) != complement(converse(composition(top,composition(X_596,top))))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) != converse(complement(composition(top,composition(X_596,top))))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(top,complement(composition(top,composition(X_596,top))))))),bind(Y,$fot(converse(complement(composition(top,composition(X_596,top)))))),bind(Z,$fot(complement(converse(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3752,plain,
( converse(complement(composition(top,composition(X_596,top)))) != complement(converse(composition(top,composition(X_596,top))))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(X_596,top))))),converse(complement(composition(top,composition(X_596,top))))) )],[refute_1_3750,refute_1_3751]) ).
cnf(refute_1_3753,plain,
converse(composition(top,complement(composition(top,composition(X_596,top))))) = complement(converse(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(X_596,top)))),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3721,refute_1_3752]) ).
cnf(refute_1_3754,plain,
converse(composition(top,complement(X_938))) = composition(converse(complement(X_938)),top),
inference(subst,[],[refute_1_3347:[bind(X_596,$fot(complement(X_938)))]]) ).
cnf(refute_1_3755,plain,
( converse(complement(X_938)) != complement(converse(X_938))
| converse(composition(top,complement(X_938))) != composition(converse(complement(X_938)),top)
| converse(composition(top,complement(X_938))) = composition(complement(converse(X_938)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(X_938))),composition(converse(complement(X_938)),top)) ),[1,0],$fot(complement(converse(X_938)))]]) ).
cnf(refute_1_3756,plain,
( converse(composition(top,complement(X_938))) != composition(converse(complement(X_938)),top)
| converse(composition(top,complement(X_938))) = composition(complement(converse(X_938)),top) ),
inference(resolve,[$cnf( $equal(converse(complement(X_938)),complement(converse(X_938))) )],[refute_1_3395,refute_1_3755]) ).
cnf(refute_1_3757,plain,
converse(composition(top,complement(X_938))) = composition(complement(converse(X_938)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_938))),composition(converse(complement(X_938)),top)) )],[refute_1_3754,refute_1_3756]) ).
cnf(refute_1_3758,plain,
( converse(composition(top,complement(X_938))) != composition(complement(converse(X_938)),top)
| composition(complement(converse(X_938)),top) = converse(composition(top,complement(X_938))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(top,complement(X_938))))),bind(Y,$fot(composition(complement(converse(X_938)),top)))]]) ).
cnf(refute_1_3759,plain,
composition(complement(converse(X_938)),top) = converse(composition(top,complement(X_938))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_938))),composition(complement(converse(X_938)),top)) )],[refute_1_3757,refute_1_3758]) ).
cnf(refute_1_3760,plain,
composition(complement(converse(composition(top,composition(X_596,top)))),top) = converse(composition(top,complement(composition(top,composition(X_596,top))))),
inference(subst,[],[refute_1_3759:[bind(X_938,$fot(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3761,plain,
( composition(complement(converse(composition(top,composition(X_596,top)))),top) != converse(composition(top,complement(composition(top,composition(X_596,top)))))
| converse(composition(top,complement(composition(top,composition(X_596,top))))) != complement(converse(composition(top,composition(X_596,top))))
| composition(complement(converse(composition(top,composition(X_596,top)))),top) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(complement(converse(composition(top,composition(X_596,top)))),top))),bind(Y,$fot(converse(composition(top,complement(composition(top,composition(X_596,top))))))),bind(Z,$fot(complement(converse(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3762,plain,
( converse(composition(top,complement(composition(top,composition(X_596,top))))) != complement(converse(composition(top,composition(X_596,top))))
| composition(complement(converse(composition(top,composition(X_596,top)))),top) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(X_596,top)))),top),converse(composition(top,complement(composition(top,composition(X_596,top)))))) )],[refute_1_3760,refute_1_3761]) ).
cnf(refute_1_3763,plain,
composition(complement(converse(composition(top,composition(X_596,top)))),top) = complement(converse(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(X_596,top))))),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3753,refute_1_3762]) ).
cnf(refute_1_3764,plain,
composition(composition(top,X_596),top) = composition(top,composition(X_596,top)),
inference(subst,[],[refute_1_235:[bind(X0,$fot(top)),bind(X1,$fot(X_596)),bind(X2,$fot(top))]]) ).
cnf(refute_1_3765,plain,
converse(composition(composition(top,X_596),top)) = converse(composition(composition(top,X_596),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,X_596),top)))]]) ).
cnf(refute_1_3766,plain,
( composition(composition(top,X_596),top) != composition(top,composition(X_596,top))
| converse(composition(composition(top,X_596),top)) != converse(composition(composition(top,X_596),top))
| converse(composition(composition(top,X_596),top)) = converse(composition(top,composition(X_596,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,X_596),top)),converse(composition(composition(top,X_596),top))) ),[1,0],$fot(composition(top,composition(X_596,top)))]]) ).
cnf(refute_1_3767,plain,
( composition(composition(top,X_596),top) != composition(top,composition(X_596,top))
| converse(composition(composition(top,X_596),top)) = converse(composition(top,composition(X_596,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_596),top)),converse(composition(composition(top,X_596),top))) )],[refute_1_3765,refute_1_3766]) ).
cnf(refute_1_3768,plain,
converse(composition(composition(top,X_596),top)) = converse(composition(top,composition(X_596,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_596),top),composition(top,composition(X_596,top))) )],[refute_1_3764,refute_1_3767]) ).
cnf(refute_1_3769,plain,
( converse(composition(X_595,top)) != composition(top,converse(X_595))
| composition(top,converse(X_595)) = converse(composition(X_595,top)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(X_595,top)))),bind(Y,$fot(composition(top,converse(X_595))))]]) ).
cnf(refute_1_3770,plain,
composition(top,converse(X_595)) = converse(composition(X_595,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_595,top)),composition(top,converse(X_595))) )],[refute_1_3374,refute_1_3769]) ).
cnf(refute_1_3771,plain,
composition(top,converse(composition(top,X_596))) = converse(composition(composition(top,X_596),top)),
inference(subst,[],[refute_1_3770:[bind(X_595,$fot(composition(top,X_596)))]]) ).
cnf(refute_1_3772,plain,
( composition(top,converse(composition(top,X_596))) != converse(composition(composition(top,X_596),top))
| converse(composition(composition(top,X_596),top)) != converse(composition(top,composition(X_596,top)))
| composition(top,converse(composition(top,X_596))) = converse(composition(top,composition(X_596,top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,converse(composition(top,X_596))))),bind(Y,$fot(converse(composition(composition(top,X_596),top)))),bind(Z,$fot(converse(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3773,plain,
( converse(composition(composition(top,X_596),top)) != converse(composition(top,composition(X_596,top)))
| composition(top,converse(composition(top,X_596))) = converse(composition(top,composition(X_596,top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,X_596))),converse(composition(composition(top,X_596),top))) )],[refute_1_3771,refute_1_3772]) ).
cnf(refute_1_3774,plain,
composition(top,converse(composition(top,X_596))) = converse(composition(top,composition(X_596,top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_596),top)),converse(composition(top,composition(X_596,top)))) )],[refute_1_3768,refute_1_3773]) ).
cnf(refute_1_3775,plain,
complement(composition(top,converse(composition(top,X_596)))) = complement(composition(top,converse(composition(top,X_596)))),
introduced(tautology,[refl,[$fot(complement(composition(top,converse(composition(top,X_596)))))]]) ).
cnf(refute_1_3776,plain,
( complement(composition(top,converse(composition(top,X_596)))) != complement(composition(top,converse(composition(top,X_596))))
| composition(top,converse(composition(top,X_596))) != converse(composition(top,composition(X_596,top)))
| complement(composition(top,converse(composition(top,X_596)))) = complement(converse(composition(top,composition(X_596,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,converse(composition(top,X_596)))),complement(composition(top,converse(composition(top,X_596))))) ),[1,0],$fot(converse(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3777,plain,
( composition(top,converse(composition(top,X_596))) != converse(composition(top,composition(X_596,top)))
| complement(composition(top,converse(composition(top,X_596)))) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(composition(top,X_596)))),complement(composition(top,converse(composition(top,X_596))))) )],[refute_1_3775,refute_1_3776]) ).
cnf(refute_1_3778,plain,
complement(composition(top,converse(composition(top,X_596)))) = complement(converse(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,X_596))),converse(composition(top,composition(X_596,top)))) )],[refute_1_3774,refute_1_3777]) ).
cnf(refute_1_3779,plain,
composition(complement(composition(top,converse(composition(top,X_596)))),top) = composition(complement(composition(top,converse(composition(top,X_596)))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,converse(composition(top,X_596)))),top))]]) ).
cnf(refute_1_3780,plain,
( complement(composition(top,converse(composition(top,X_596)))) != complement(converse(composition(top,composition(X_596,top))))
| composition(complement(composition(top,converse(composition(top,X_596)))),top) != composition(complement(composition(top,converse(composition(top,X_596)))),top)
| composition(complement(composition(top,converse(composition(top,X_596)))),top) = composition(complement(converse(composition(top,composition(X_596,top)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,converse(composition(top,X_596)))),top),composition(complement(composition(top,converse(composition(top,X_596)))),top)) ),[1,0],$fot(complement(converse(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3781,plain,
( complement(composition(top,converse(composition(top,X_596)))) != complement(converse(composition(top,composition(X_596,top))))
| composition(complement(composition(top,converse(composition(top,X_596)))),top) = composition(complement(converse(composition(top,composition(X_596,top)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(composition(top,X_596)))),top),composition(complement(composition(top,converse(composition(top,X_596)))),top)) )],[refute_1_3779,refute_1_3780]) ).
cnf(refute_1_3782,plain,
composition(complement(composition(top,converse(composition(top,X_596)))),top) = composition(complement(converse(composition(top,composition(X_596,top)))),top),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(composition(top,X_596)))),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3778,refute_1_3781]) ).
cnf(refute_1_3783,plain,
( composition(complement(composition(top,converse(composition(top,X_596)))),top) != composition(complement(converse(composition(top,composition(X_596,top)))),top)
| composition(complement(converse(composition(top,composition(X_596,top)))),top) != complement(converse(composition(top,composition(X_596,top))))
| composition(complement(composition(top,converse(composition(top,X_596)))),top) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(complement(composition(top,converse(composition(top,X_596)))),top))),bind(Y,$fot(composition(complement(converse(composition(top,composition(X_596,top)))),top))),bind(Z,$fot(complement(converse(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3784,plain,
( composition(complement(converse(composition(top,composition(X_596,top)))),top) != complement(converse(composition(top,composition(X_596,top))))
| composition(complement(composition(top,converse(composition(top,X_596)))),top) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(composition(top,X_596)))),top),composition(complement(converse(composition(top,composition(X_596,top)))),top)) )],[refute_1_3782,refute_1_3783]) ).
cnf(refute_1_3785,plain,
composition(complement(composition(top,converse(composition(top,X_596)))),top) = complement(converse(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(X_596,top)))),top),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3763,refute_1_3784]) ).
cnf(refute_1_3786,plain,
composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))]]) ).
cnf(refute_1_3787,plain,
( composition(complement(composition(top,converse(composition(top,X_596)))),top) != complement(converse(composition(top,composition(X_596,top))))
| composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) != composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))
| composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = composition(top,complement(converse(composition(top,composition(X_596,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) ),[1,1],$fot(complement(converse(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3788,plain,
( composition(complement(composition(top,converse(composition(top,X_596)))),top) != complement(converse(composition(top,composition(X_596,top))))
| composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = composition(top,complement(converse(composition(top,composition(X_596,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) )],[refute_1_3786,refute_1_3787]) ).
cnf(refute_1_3789,plain,
composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = composition(top,complement(converse(composition(top,composition(X_596,top))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(composition(top,X_596)))),top),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3785,refute_1_3788]) ).
cnf(refute_1_3790,plain,
( composition(top,complement(converse(composition(top,composition(X_596,top))))) != complement(converse(composition(top,composition(X_596,top))))
| composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) != composition(top,complement(converse(composition(top,composition(X_596,top)))))
| composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),bind(Y,$fot(composition(top,complement(converse(composition(top,composition(X_596,top))))))),bind(Z,$fot(complement(converse(composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3791,plain,
( composition(top,complement(converse(composition(top,composition(X_596,top))))) != complement(converse(composition(top,composition(X_596,top))))
| composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = complement(converse(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)),composition(top,complement(converse(composition(top,composition(X_596,top)))))) )],[refute_1_3789,refute_1_3790]) ).
cnf(refute_1_3792,plain,
composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) = complement(converse(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(X_596,top))))),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3720,refute_1_3791]) ).
cnf(refute_1_3793,plain,
converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))]]) ).
cnf(refute_1_3794,plain,
( composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) != complement(converse(composition(top,composition(X_596,top))))
| converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) != converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))
| converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = converse(complement(converse(composition(top,composition(X_596,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) ),[1,0],$fot(complement(converse(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3795,plain,
( composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)) != complement(converse(composition(top,composition(X_596,top))))
| converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = converse(complement(converse(composition(top,composition(X_596,top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) )],[refute_1_3793,refute_1_3794]) ).
cnf(refute_1_3796,plain,
converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = converse(complement(converse(composition(top,composition(X_596,top))))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)),complement(converse(composition(top,composition(X_596,top))))) )],[refute_1_3792,refute_1_3795]) ).
cnf(refute_1_3797,plain,
( converse(complement(converse(composition(top,composition(X_596,top))))) != complement(composition(top,composition(X_596,top)))
| converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) != converse(complement(converse(composition(top,composition(X_596,top)))))
| converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = complement(composition(top,composition(X_596,top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))),bind(Y,$fot(converse(complement(converse(composition(top,composition(X_596,top))))))),bind(Z,$fot(complement(composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3798,plain,
( converse(complement(converse(composition(top,composition(X_596,top))))) != complement(composition(top,composition(X_596,top)))
| converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = complement(composition(top,composition(X_596,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))),converse(complement(converse(composition(top,composition(X_596,top)))))) )],[refute_1_3796,refute_1_3797]) ).
cnf(refute_1_3799,plain,
converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) = complement(composition(top,composition(X_596,top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,composition(X_596,top))))),complement(composition(top,composition(X_596,top)))) )],[refute_1_3467,refute_1_3798]) ).
cnf(refute_1_3800,plain,
join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),
introduced(tautology,[refl,[$fot(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))))]]) ).
cnf(refute_1_3801,plain,
( converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) != complement(composition(top,composition(X_596,top)))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = join(complement(X_596),complement(composition(top,composition(X_596,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))) ),[1,1],$fot(complement(composition(top,composition(X_596,top))))]]) ).
cnf(refute_1_3802,plain,
( converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))) != complement(composition(top,composition(X_596,top)))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = join(complement(X_596),complement(composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))) )],[refute_1_3800,refute_1_3801]) ).
cnf(refute_1_3803,plain,
join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = join(complement(X_596),complement(composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))),complement(composition(top,composition(X_596,top)))) )],[refute_1_3799,refute_1_3802]) ).
cnf(refute_1_3804,plain,
( join(complement(X_596),complement(composition(top,composition(X_596,top)))) != complement(meet(X_596,composition(top,composition(X_596,top))))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != join(complement(X_596),complement(composition(top,composition(X_596,top))))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))))),bind(Y,$fot(join(complement(X_596),complement(composition(top,composition(X_596,top)))))),bind(Z,$fot(complement(meet(X_596,composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3805,plain,
( join(complement(X_596),complement(composition(top,composition(X_596,top)))) != complement(meet(X_596,composition(top,composition(X_596,top))))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),join(complement(X_596),complement(composition(top,composition(X_596,top))))) )],[refute_1_3803,refute_1_3804]) ).
cnf(refute_1_3806,plain,
join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(join(complement(X_596),complement(composition(top,composition(X_596,top)))),complement(meet(X_596,composition(top,composition(X_596,top))))) )],[refute_1_3458,refute_1_3805]) ).
cnf(refute_1_3807,plain,
converse(join(converse(complement(X_938)),X_594)) = join(complement(X_938),converse(X_594)),
inference(subst,[],[refute_1_194:[bind(X0,$fot(complement(X_938)))]]) ).
cnf(refute_1_3808,plain,
( converse(complement(X_938)) != complement(converse(X_938))
| converse(join(converse(complement(X_938)),X_594)) != join(complement(X_938),converse(X_594))
| converse(join(complement(converse(X_938)),X_594)) = join(complement(X_938),converse(X_594)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(X_938)),X_594)),join(complement(X_938),converse(X_594))) ),[0,0,0],$fot(complement(converse(X_938)))]]) ).
cnf(refute_1_3809,plain,
( converse(join(converse(complement(X_938)),X_594)) != join(complement(X_938),converse(X_594))
| converse(join(complement(converse(X_938)),X_594)) = join(complement(X_938),converse(X_594)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_938)),complement(converse(X_938))) )],[refute_1_3395,refute_1_3808]) ).
cnf(refute_1_3810,plain,
converse(join(complement(converse(X_938)),X_594)) = join(complement(X_938),converse(X_594)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_938)),X_594)),join(complement(X_938),converse(X_594))) )],[refute_1_3807,refute_1_3809]) ).
cnf(refute_1_3811,plain,
converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),
inference(subst,[],[refute_1_3810:[bind(X_594,$fot(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),bind(X_938,$fot(X_596))]]) ).
cnf(refute_1_3812,plain,
( converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))
| join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != complement(meet(X_596,composition(top,composition(X_596,top))))
| converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))))),bind(Y,$fot(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))))),bind(Z,$fot(complement(meet(X_596,composition(top,composition(X_596,top))))))]]) ).
cnf(refute_1_3813,plain,
( join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != complement(meet(X_596,composition(top,composition(X_596,top))))
| converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top))))) )],[refute_1_3811,refute_1_3812]) ).
cnf(refute_1_3814,plain,
converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) = complement(meet(X_596,composition(top,composition(X_596,top)))),
inference(resolve,[$cnf( $equal(join(complement(X_596),converse(composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),complement(meet(X_596,composition(top,composition(X_596,top))))) )],[refute_1_3806,refute_1_3813]) ).
cnf(refute_1_3815,plain,
( converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != complement(converse(converse(X_596)))
| converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != complement(meet(X_596,composition(top,composition(X_596,top))))
| complement(meet(X_596,composition(top,composition(X_596,top)))) = complement(converse(converse(X_596))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),complement(converse(converse(X_596)))) ),[0],$fot(complement(meet(X_596,composition(top,composition(X_596,top)))))]]) ).
cnf(refute_1_3816,plain,
( converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != complement(converse(converse(X_596)))
| complement(meet(X_596,composition(top,composition(X_596,top)))) = complement(converse(converse(X_596))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),complement(meet(X_596,composition(top,composition(X_596,top))))) )],[refute_1_3814,refute_1_3815]) ).
cnf(refute_1_3817,plain,
converse(converse(X_596)) = X_596,
inference(subst,[],[refute_1_77:[bind(X0,$fot(X_596))]]) ).
cnf(refute_1_3818,plain,
complement(converse(converse(X_596))) = complement(converse(converse(X_596))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_596))))]]) ).
cnf(refute_1_3819,plain,
( complement(converse(converse(X_596))) != complement(converse(converse(X_596)))
| converse(converse(X_596)) != X_596
| complement(converse(converse(X_596))) = complement(X_596) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_596))),complement(converse(converse(X_596)))) ),[1,0],$fot(X_596)]]) ).
cnf(refute_1_3820,plain,
( converse(converse(X_596)) != X_596
| complement(converse(converse(X_596))) = complement(X_596) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_596))),complement(converse(converse(X_596)))) )],[refute_1_3818,refute_1_3819]) ).
cnf(refute_1_3821,plain,
complement(converse(converse(X_596))) = complement(X_596),
inference(resolve,[$cnf( $equal(converse(converse(X_596)),X_596) )],[refute_1_3817,refute_1_3820]) ).
cnf(refute_1_3822,plain,
( complement(converse(converse(X_596))) != complement(X_596)
| complement(meet(X_596,composition(top,composition(X_596,top)))) != complement(converse(converse(X_596)))
| complement(meet(X_596,composition(top,composition(X_596,top)))) = complement(X_596) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_596,composition(top,composition(X_596,top)))),complement(converse(converse(X_596)))) ),[1],$fot(complement(X_596))]]) ).
cnf(refute_1_3823,plain,
( complement(meet(X_596,composition(top,composition(X_596,top)))) != complement(converse(converse(X_596)))
| complement(meet(X_596,composition(top,composition(X_596,top)))) = complement(X_596) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_596))),complement(X_596)) )],[refute_1_3821,refute_1_3822]) ).
cnf(refute_1_3824,plain,
( converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))) != complement(converse(converse(X_596)))
| complement(meet(X_596,composition(top,composition(X_596,top)))) = complement(X_596) ),
inference(resolve,[$cnf( $equal(complement(meet(X_596,composition(top,composition(X_596,top)))),complement(converse(converse(X_596)))) )],[refute_1_3816,refute_1_3823]) ).
cnf(refute_1_3825,plain,
complement(meet(X_596,composition(top,composition(X_596,top)))) = complement(X_596),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_596)),composition(top,composition(complement(composition(top,converse(composition(top,X_596)))),top)))),complement(converse(converse(X_596)))) )],[refute_1_3457,refute_1_3824]) ).
cnf(refute_1_3826,plain,
complement(meet(join(X_631,X_632),composition(top,composition(join(X_631,X_632),top)))) = complement(join(X_631,X_632)),
inference(subst,[],[refute_1_3825:[bind(X_596,$fot(join(X_631,X_632)))]]) ).
cnf(refute_1_3827,plain,
composition(join(X_632,X_631),top) = composition(join(X_631,X_632),top),
inference(subst,[],[refute_1_1070:[bind(X_633,$fot(top))]]) ).
cnf(refute_1_3828,plain,
( composition(join(X_632,X_631),top) != composition(join(X_631,X_632),top)
| composition(join(X_631,X_632),top) = composition(join(X_632,X_631),top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_632,X_631),top))),bind(Y,$fot(composition(join(X_631,X_632),top)))]]) ).
cnf(refute_1_3829,plain,
composition(join(X_631,X_632),top) = composition(join(X_632,X_631),top),
inference(resolve,[$cnf( $equal(composition(join(X_632,X_631),top),composition(join(X_631,X_632),top)) )],[refute_1_3827,refute_1_3828]) ).
cnf(refute_1_3830,plain,
( complement(meet(join(X_631,X_632),composition(top,composition(join(X_631,X_632),top)))) != complement(join(X_631,X_632))
| composition(join(X_631,X_632),top) != composition(join(X_632,X_631),top)
| complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) = complement(join(X_631,X_632)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(X_631,X_632),composition(top,composition(join(X_631,X_632),top)))),complement(join(X_631,X_632))) ),[0,0,1,1],$fot(composition(join(X_632,X_631),top))]]) ).
cnf(refute_1_3831,plain,
( complement(meet(join(X_631,X_632),composition(top,composition(join(X_631,X_632),top)))) != complement(join(X_631,X_632))
| complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) = complement(join(X_631,X_632)) ),
inference(resolve,[$cnf( $equal(composition(join(X_631,X_632),top),composition(join(X_632,X_631),top)) )],[refute_1_3829,refute_1_3830]) ).
cnf(refute_1_3832,plain,
complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) = complement(join(X_631,X_632)),
inference(resolve,[$cnf( $equal(complement(meet(join(X_631,X_632),composition(top,composition(join(X_631,X_632),top)))),complement(join(X_631,X_632))) )],[refute_1_3826,refute_1_3831]) ).
cnf(refute_1_3833,plain,
converse(join(complement(converse(join(X_593,X_594))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(converse(converse(join(X_593,X_594)))),
inference(subst,[],[refute_1_3453:[bind(X_1254,$fot(converse(join(X_593,X_594))))]]) ).
cnf(refute_1_3834,plain,
( complement(converse(join(X_594,X_593))) != complement(converse(join(X_593,X_594)))
| complement(converse(join(X_593,X_594))) = complement(converse(join(X_594,X_593))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(join(X_594,X_593))))),bind(Y,$fot(complement(converse(join(X_593,X_594)))))]]) ).
cnf(refute_1_3835,plain,
complement(converse(join(X_593,X_594))) = complement(converse(join(X_594,X_593))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_594,X_593))),complement(converse(join(X_593,X_594)))) )],[refute_1_1080,refute_1_3834]) ).
cnf(refute_1_3836,plain,
( complement(converse(join(X_593,X_594))) != complement(converse(join(X_594,X_593)))
| converse(join(complement(converse(join(X_593,X_594))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(converse(converse(join(X_593,X_594))))
| converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(converse(converse(join(X_593,X_594)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(X_593,X_594))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),complement(converse(converse(join(X_593,X_594))))) ),[0,0,0],$fot(complement(converse(join(X_594,X_593))))]]) ).
cnf(refute_1_3837,plain,
( converse(join(complement(converse(join(X_593,X_594))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(converse(converse(join(X_593,X_594))))
| converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(converse(converse(join(X_593,X_594)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_593,X_594))),complement(converse(join(X_594,X_593)))) )],[refute_1_3835,refute_1_3836]) ).
cnf(refute_1_3838,plain,
converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(converse(converse(join(X_593,X_594)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(X_593,X_594))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),complement(converse(converse(join(X_593,X_594))))) )],[refute_1_3833,refute_1_3837]) ).
cnf(refute_1_3839,plain,
join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(join(X_594,X_593))),bind(X1,$fot(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3840,plain,
converse(converse(composition(top,composition(join(X_593,X_594),top)))) = composition(top,composition(join(X_593,X_594),top)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3841,plain,
complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3842,plain,
( complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(converse(converse(composition(top,composition(join(X_593,X_594),top)))))
| converse(converse(composition(top,composition(join(X_593,X_594),top)))) != composition(top,composition(join(X_593,X_594),top))
| complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(composition(top,composition(join(X_593,X_594),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))),complement(converse(converse(composition(top,composition(join(X_593,X_594),top)))))) ),[1,0],$fot(composition(top,composition(join(X_593,X_594),top)))]]) ).
cnf(refute_1_3843,plain,
( converse(converse(composition(top,composition(join(X_593,X_594),top)))) != composition(top,composition(join(X_593,X_594),top))
| complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(composition(top,composition(join(X_593,X_594),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))),complement(converse(converse(composition(top,composition(join(X_593,X_594),top)))))) )],[refute_1_3841,refute_1_3842]) ).
cnf(refute_1_3844,plain,
complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(composition(top,composition(join(X_593,X_594),top))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(join(X_593,X_594),top)))),composition(top,composition(join(X_593,X_594),top))) )],[refute_1_3840,refute_1_3843]) ).
cnf(refute_1_3845,plain,
converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(converse(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3846,plain,
( complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(composition(top,composition(join(X_593,X_594),top)))
| converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(converse(converse(composition(top,composition(join(X_593,X_594),top)))))
| converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(composition(top,composition(join(X_593,X_594),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))))),bind(Y,$fot(complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))))),bind(Z,$fot(complement(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3847,plain,
( complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(composition(top,composition(join(X_593,X_594),top)))
| converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(composition(top,composition(join(X_593,X_594),top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))),complement(converse(converse(composition(top,composition(join(X_593,X_594),top)))))) )],[refute_1_3845,refute_1_3846]) ).
cnf(refute_1_3848,plain,
converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(composition(top,composition(join(X_593,X_594),top))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,composition(join(X_593,X_594),top))))),complement(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3844,refute_1_3847]) ).
cnf(refute_1_3849,plain,
converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top)) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(subst,[],[refute_1_3715:[bind(X0,$fot(top)),bind(X1,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_3850,plain,
composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) = converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top)),
inference(subst,[],[refute_1_3686:[bind(X_938,$fot(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3851,plain,
( composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) != converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top))
| converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top)) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))))),bind(Y,$fot(converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top)))),bind(Z,$fot(complement(converse(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3852,plain,
( converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top)) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))),converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top))) )],[refute_1_3850,refute_1_3851]) ).
cnf(refute_1_3853,plain,
composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(join(X_593,X_594),top))),top)),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3849,refute_1_3852]) ).
cnf(refute_1_3854,plain,
converse(complement(composition(top,composition(join(X_593,X_594),top)))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3855,plain,
composition(top,complement(composition(top,composition(join(X_593,X_594),top)))) = complement(composition(top,composition(join(X_593,X_594),top))),
inference(subst,[],[refute_1_3745:[bind(X_1136,$fot(composition(join(X_593,X_594),top)))]]) ).
cnf(refute_1_3856,plain,
converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3857,plain,
( composition(top,complement(composition(top,composition(join(X_593,X_594),top)))) != complement(composition(top,composition(join(X_593,X_594),top)))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) != converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top)))))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = converse(complement(composition(top,composition(join(X_593,X_594),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))),converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top)))))) ),[1,0],$fot(complement(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3858,plain,
( composition(top,complement(composition(top,composition(join(X_593,X_594),top)))) != complement(composition(top,composition(join(X_593,X_594),top)))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = converse(complement(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))),converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top)))))) )],[refute_1_3856,refute_1_3857]) ).
cnf(refute_1_3859,plain,
converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = converse(complement(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(join(X_593,X_594),top)))),complement(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3855,refute_1_3858]) ).
cnf(refute_1_3860,plain,
( converse(complement(composition(top,composition(join(X_593,X_594),top)))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) != converse(complement(composition(top,composition(join(X_593,X_594),top))))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))))),bind(Y,$fot(converse(complement(composition(top,composition(join(X_593,X_594),top)))))),bind(Z,$fot(complement(converse(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3861,plain,
( converse(complement(composition(top,composition(join(X_593,X_594),top)))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))),converse(complement(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3859,refute_1_3860]) ).
cnf(refute_1_3862,plain,
converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(join(X_593,X_594),top)))),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3854,refute_1_3861]) ).
cnf(refute_1_3863,plain,
composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) = converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))),
inference(subst,[],[refute_1_3759:[bind(X_938,$fot(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3864,plain,
( composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) != converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top)))))
| converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top))),bind(Y,$fot(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))))),bind(Z,$fot(complement(converse(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3865,plain,
( converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top),converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top)))))) )],[refute_1_3863,refute_1_3864]) ).
cnf(refute_1_3866,plain,
composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(join(X_593,X_594),top))))),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3862,refute_1_3865]) ).
cnf(refute_1_3867,plain,
composition(composition(top,join(X_593,X_594)),top) = composition(top,composition(join(X_593,X_594),top)),
inference(subst,[],[refute_1_235:[bind(X0,$fot(top)),bind(X1,$fot(join(X_593,X_594))),bind(X2,$fot(top))]]) ).
cnf(refute_1_3868,plain,
converse(composition(composition(top,join(X_593,X_594)),top)) = converse(composition(composition(top,join(X_593,X_594)),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,join(X_593,X_594)),top)))]]) ).
cnf(refute_1_3869,plain,
( composition(composition(top,join(X_593,X_594)),top) != composition(top,composition(join(X_593,X_594),top))
| converse(composition(composition(top,join(X_593,X_594)),top)) != converse(composition(composition(top,join(X_593,X_594)),top))
| converse(composition(composition(top,join(X_593,X_594)),top)) = converse(composition(top,composition(join(X_593,X_594),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,join(X_593,X_594)),top)),converse(composition(composition(top,join(X_593,X_594)),top))) ),[1,0],$fot(composition(top,composition(join(X_593,X_594),top)))]]) ).
cnf(refute_1_3870,plain,
( composition(composition(top,join(X_593,X_594)),top) != composition(top,composition(join(X_593,X_594),top))
| converse(composition(composition(top,join(X_593,X_594)),top)) = converse(composition(top,composition(join(X_593,X_594),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,join(X_593,X_594)),top)),converse(composition(composition(top,join(X_593,X_594)),top))) )],[refute_1_3868,refute_1_3869]) ).
cnf(refute_1_3871,plain,
converse(composition(composition(top,join(X_593,X_594)),top)) = converse(composition(top,composition(join(X_593,X_594),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,join(X_593,X_594)),top),composition(top,composition(join(X_593,X_594),top))) )],[refute_1_3867,refute_1_3870]) ).
cnf(refute_1_3872,plain,
composition(top,converse(composition(top,join(X_593,X_594)))) = converse(composition(composition(top,join(X_593,X_594)),top)),
inference(subst,[],[refute_1_3770:[bind(X_595,$fot(composition(top,join(X_593,X_594))))]]) ).
cnf(refute_1_3873,plain,
( composition(top,converse(composition(top,join(X_593,X_594)))) != converse(composition(composition(top,join(X_593,X_594)),top))
| converse(composition(composition(top,join(X_593,X_594)),top)) != converse(composition(top,composition(join(X_593,X_594),top)))
| composition(top,converse(composition(top,join(X_593,X_594)))) = converse(composition(top,composition(join(X_593,X_594),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,converse(composition(top,join(X_593,X_594)))))),bind(Y,$fot(converse(composition(composition(top,join(X_593,X_594)),top)))),bind(Z,$fot(converse(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3874,plain,
( converse(composition(composition(top,join(X_593,X_594)),top)) != converse(composition(top,composition(join(X_593,X_594),top)))
| composition(top,converse(composition(top,join(X_593,X_594)))) = converse(composition(top,composition(join(X_593,X_594),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,join(X_593,X_594)))),converse(composition(composition(top,join(X_593,X_594)),top))) )],[refute_1_3872,refute_1_3873]) ).
cnf(refute_1_3875,plain,
composition(top,converse(composition(top,join(X_593,X_594)))) = converse(composition(top,composition(join(X_593,X_594),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,join(X_593,X_594)),top)),converse(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3871,refute_1_3874]) ).
cnf(refute_1_3876,plain,
composition(converse(join(X_593,X_594)),top) = converse(composition(top,join(X_593,X_594))),
inference(subst,[],[refute_1_3349:[bind(X_596,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_3877,plain,
composition(top,composition(converse(join(X_593,X_594)),top)) = composition(top,composition(converse(join(X_593,X_594)),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(join(X_593,X_594)),top)))]]) ).
cnf(refute_1_3878,plain,
( composition(converse(join(X_593,X_594)),top) != converse(composition(top,join(X_593,X_594)))
| composition(top,composition(converse(join(X_593,X_594)),top)) != composition(top,composition(converse(join(X_593,X_594)),top))
| composition(top,composition(converse(join(X_593,X_594)),top)) = composition(top,converse(composition(top,join(X_593,X_594)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(join(X_593,X_594)),top)),composition(top,composition(converse(join(X_593,X_594)),top))) ),[1,1],$fot(converse(composition(top,join(X_593,X_594))))]]) ).
cnf(refute_1_3879,plain,
( composition(converse(join(X_593,X_594)),top) != converse(composition(top,join(X_593,X_594)))
| composition(top,composition(converse(join(X_593,X_594)),top)) = composition(top,converse(composition(top,join(X_593,X_594)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(join(X_593,X_594)),top)),composition(top,composition(converse(join(X_593,X_594)),top))) )],[refute_1_3877,refute_1_3878]) ).
cnf(refute_1_3880,plain,
composition(top,composition(converse(join(X_593,X_594)),top)) = composition(top,converse(composition(top,join(X_593,X_594)))),
inference(resolve,[$cnf( $equal(composition(converse(join(X_593,X_594)),top),converse(composition(top,join(X_593,X_594)))) )],[refute_1_3876,refute_1_3879]) ).
cnf(refute_1_3881,plain,
( composition(top,composition(converse(join(X_593,X_594)),top)) != composition(top,converse(composition(top,join(X_593,X_594))))
| composition(top,converse(composition(top,join(X_593,X_594)))) != converse(composition(top,composition(join(X_593,X_594),top)))
| composition(top,composition(converse(join(X_593,X_594)),top)) = converse(composition(top,composition(join(X_593,X_594),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,composition(converse(join(X_593,X_594)),top)))),bind(Y,$fot(composition(top,converse(composition(top,join(X_593,X_594)))))),bind(Z,$fot(converse(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3882,plain,
( composition(top,converse(composition(top,join(X_593,X_594)))) != converse(composition(top,composition(join(X_593,X_594),top)))
| composition(top,composition(converse(join(X_593,X_594)),top)) = converse(composition(top,composition(join(X_593,X_594),top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(join(X_593,X_594)),top)),composition(top,converse(composition(top,join(X_593,X_594))))) )],[refute_1_3880,refute_1_3881]) ).
cnf(refute_1_3883,plain,
composition(top,composition(converse(join(X_593,X_594)),top)) = converse(composition(top,composition(join(X_593,X_594),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,join(X_593,X_594)))),converse(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3875,refute_1_3882]) ).
cnf(refute_1_3884,plain,
complement(composition(top,composition(converse(join(X_593,X_594)),top))) = complement(composition(top,composition(converse(join(X_593,X_594)),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(converse(join(X_593,X_594)),top))))]]) ).
cnf(refute_1_3885,plain,
( complement(composition(top,composition(converse(join(X_593,X_594)),top))) != complement(composition(top,composition(converse(join(X_593,X_594)),top)))
| composition(top,composition(converse(join(X_593,X_594)),top)) != converse(composition(top,composition(join(X_593,X_594),top)))
| complement(composition(top,composition(converse(join(X_593,X_594)),top))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(converse(join(X_593,X_594)),top))),complement(composition(top,composition(converse(join(X_593,X_594)),top)))) ),[1,0],$fot(converse(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3886,plain,
( composition(top,composition(converse(join(X_593,X_594)),top)) != converse(composition(top,composition(join(X_593,X_594),top)))
| complement(composition(top,composition(converse(join(X_593,X_594)),top))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(converse(join(X_593,X_594)),top))),complement(composition(top,composition(converse(join(X_593,X_594)),top)))) )],[refute_1_3884,refute_1_3885]) ).
cnf(refute_1_3887,plain,
complement(composition(top,composition(converse(join(X_593,X_594)),top))) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(join(X_593,X_594)),top)),converse(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3883,refute_1_3886]) ).
cnf(refute_1_3888,plain,
composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))]]) ).
cnf(refute_1_3889,plain,
( complement(composition(top,composition(converse(join(X_593,X_594)),top))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) != composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)
| composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top),composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) ),[1,0],$fot(complement(converse(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3890,plain,
( complement(composition(top,composition(converse(join(X_593,X_594)),top))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top),composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) )],[refute_1_3888,refute_1_3889]) ).
cnf(refute_1_3891,plain,
composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(converse(join(X_593,X_594)),top))),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3887,refute_1_3890]) ).
cnf(refute_1_3892,plain,
( composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) != composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top)
| composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))),bind(Y,$fot(composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top))),bind(Z,$fot(complement(converse(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3893,plain,
( composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top),composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top)) )],[refute_1_3891,refute_1_3892]) ).
cnf(refute_1_3894,plain,
composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(join(X_593,X_594),top)))),top),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3866,refute_1_3893]) ).
cnf(refute_1_3895,plain,
composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))]]) ).
cnf(refute_1_3896,plain,
( composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) != composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))
| composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) ),[1,1],$fot(complement(converse(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3897,plain,
( composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) )],[refute_1_3895,refute_1_3896]) ).
cnf(refute_1_3898,plain,
composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3894,refute_1_3897]) ).
cnf(refute_1_3899,plain,
( composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) != composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top)))))
| composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),bind(Y,$fot(composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))))),bind(Z,$fot(complement(converse(composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3900,plain,
( composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = complement(converse(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)),composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top)))))) )],[refute_1_3898,refute_1_3899]) ).
cnf(refute_1_3901,plain,
composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) = complement(converse(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_593,X_594),top))))),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3853,refute_1_3900]) ).
cnf(refute_1_3902,plain,
converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))]]) ).
cnf(refute_1_3903,plain,
( composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) != converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))
| converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) ),[1,0],$fot(complement(converse(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3904,plain,
( composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)) != complement(converse(composition(top,composition(join(X_593,X_594),top))))
| converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) )],[refute_1_3902,refute_1_3903]) ).
cnf(refute_1_3905,plain,
converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)),complement(converse(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3901,refute_1_3904]) ).
cnf(refute_1_3906,plain,
( converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(composition(top,composition(join(X_593,X_594),top)))
| converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) != converse(complement(converse(composition(top,composition(join(X_593,X_594),top)))))
| converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = complement(composition(top,composition(join(X_593,X_594),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))),bind(Y,$fot(converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))))),bind(Z,$fot(complement(composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3907,plain,
( converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))) != complement(composition(top,composition(join(X_593,X_594),top)))
| converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = complement(composition(top,composition(join(X_593,X_594),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))),converse(complement(converse(composition(top,composition(join(X_593,X_594),top)))))) )],[refute_1_3905,refute_1_3906]) ).
cnf(refute_1_3908,plain,
converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) = complement(composition(top,composition(join(X_593,X_594),top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,composition(join(X_593,X_594),top))))),complement(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3848,refute_1_3907]) ).
cnf(refute_1_3909,plain,
join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),
introduced(tautology,[refl,[$fot(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))))]]) ).
cnf(refute_1_3910,plain,
( converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) != complement(composition(top,composition(join(X_593,X_594),top)))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))) ),[1,1],$fot(complement(composition(top,composition(join(X_593,X_594),top))))]]) ).
cnf(refute_1_3911,plain,
( converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))) != complement(composition(top,composition(join(X_593,X_594),top)))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))) )],[refute_1_3909,refute_1_3910]) ).
cnf(refute_1_3912,plain,
join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))),complement(composition(top,composition(join(X_593,X_594),top)))) )],[refute_1_3908,refute_1_3911]) ).
cnf(refute_1_3913,plain,
( join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))) != complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top))))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))))),bind(Y,$fot(join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))))),bind(Z,$fot(complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3914,plain,
( join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))) != complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3912,refute_1_3913]) ).
cnf(refute_1_3915,plain,
join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_594,X_593)),complement(composition(top,composition(join(X_593,X_594),top)))),complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3839,refute_1_3914]) ).
cnf(refute_1_3916,plain,
converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),
inference(subst,[],[refute_1_3810:[bind(X_594,$fot(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),bind(X_938,$fot(join(X_594,X_593)))]]) ).
cnf(refute_1_3917,plain,
( converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))
| join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))
| converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))))),bind(Y,$fot(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))))),bind(Z,$fot(complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))))]]) ).
cnf(refute_1_3918,plain,
( join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))
| converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top))))) )],[refute_1_3916,refute_1_3917]) ).
cnf(refute_1_3919,plain,
converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) = complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_594,X_593)),converse(composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3915,refute_1_3918]) ).
cnf(refute_1_3920,plain,
( converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(converse(converse(join(X_593,X_594))))
| converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))
| complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) = complement(converse(converse(join(X_593,X_594)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),complement(converse(converse(join(X_593,X_594))))) ),[0],$fot(complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))))]]) ).
cnf(refute_1_3921,plain,
( converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(converse(converse(join(X_593,X_594))))
| complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) = complement(converse(converse(join(X_593,X_594)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top))))) )],[refute_1_3919,refute_1_3920]) ).
cnf(refute_1_3922,plain,
converse(converse(join(X_593,X_594))) = join(X_593,X_594),
inference(subst,[],[refute_1_77:[bind(X0,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_3923,plain,
complement(converse(converse(join(X_593,X_594)))) = complement(converse(converse(join(X_593,X_594)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X_593,X_594)))))]]) ).
cnf(refute_1_3924,plain,
( complement(converse(converse(join(X_593,X_594)))) != complement(converse(converse(join(X_593,X_594))))
| converse(converse(join(X_593,X_594))) != join(X_593,X_594)
| complement(converse(converse(join(X_593,X_594)))) = complement(join(X_593,X_594)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X_593,X_594)))),complement(converse(converse(join(X_593,X_594))))) ),[1,0],$fot(join(X_593,X_594))]]) ).
cnf(refute_1_3925,plain,
( converse(converse(join(X_593,X_594))) != join(X_593,X_594)
| complement(converse(converse(join(X_593,X_594)))) = complement(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_593,X_594)))),complement(converse(converse(join(X_593,X_594))))) )],[refute_1_3923,refute_1_3924]) ).
cnf(refute_1_3926,plain,
complement(converse(converse(join(X_593,X_594)))) = complement(join(X_593,X_594)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_593,X_594))),join(X_593,X_594)) )],[refute_1_3922,refute_1_3925]) ).
cnf(refute_1_3927,plain,
( complement(converse(converse(join(X_593,X_594)))) != complement(join(X_593,X_594))
| complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) != complement(converse(converse(join(X_593,X_594))))
| complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) = complement(join(X_593,X_594)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))),complement(converse(converse(join(X_593,X_594))))) ),[1],$fot(complement(join(X_593,X_594)))]]) ).
cnf(refute_1_3928,plain,
( complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) != complement(converse(converse(join(X_593,X_594))))
| complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) = complement(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_593,X_594)))),complement(join(X_593,X_594))) )],[refute_1_3926,refute_1_3927]) ).
cnf(refute_1_3929,plain,
( converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))) != complement(converse(converse(join(X_593,X_594))))
| complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) = complement(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))),complement(converse(converse(join(X_593,X_594))))) )],[refute_1_3921,refute_1_3928]) ).
cnf(refute_1_3930,plain,
complement(meet(join(X_594,X_593),composition(top,composition(join(X_593,X_594),top)))) = complement(join(X_593,X_594)),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(X_594,X_593))),composition(top,composition(complement(composition(top,composition(converse(join(X_593,X_594)),top))),top)))),complement(converse(converse(join(X_593,X_594))))) )],[refute_1_3838,refute_1_3929]) ).
cnf(refute_1_3931,plain,
complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) = complement(join(X_632,X_631)),
inference(subst,[],[refute_1_3930:[bind(X_593,$fot(X_632)),bind(X_594,$fot(X_631))]]) ).
cnf(refute_1_3932,plain,
( complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) != complement(join(X_631,X_632))
| complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) != complement(join(X_632,X_631))
| complement(join(X_632,X_631)) = complement(join(X_631,X_632)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))),complement(join(X_631,X_632))) ),[0],$fot(complement(join(X_632,X_631)))]]) ).
cnf(refute_1_3933,plain,
( complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))) != complement(join(X_631,X_632))
| complement(join(X_632,X_631)) = complement(join(X_631,X_632)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))),complement(join(X_632,X_631))) )],[refute_1_3931,refute_1_3932]) ).
cnf(refute_1_3934,plain,
complement(join(X_632,X_631)) = complement(join(X_631,X_632)),
inference(resolve,[$cnf( $equal(complement(meet(join(X_631,X_632),composition(top,composition(join(X_632,X_631),top)))),complement(join(X_631,X_632))) )],[refute_1_3832,refute_1_3933]) ).
cnf(refute_1_3935,plain,
( complement(join(X_632,X_631)) != complement(join(X_631,X_632))
| complement(join(X_631,X_632)) = complement(join(X_632,X_631)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(join(X_632,X_631)))),bind(Y,$fot(complement(join(X_631,X_632))))]]) ).
cnf(refute_1_3936,plain,
complement(join(X_631,X_632)) = complement(join(X_632,X_631)),
inference(resolve,[$cnf( $equal(complement(join(X_632,X_631)),complement(join(X_631,X_632))) )],[refute_1_3934,refute_1_3935]) ).
cnf(refute_1_3937,plain,
complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) = complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_3936:[bind(X_631,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_632,$fot(complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_3938,plain,
( complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) != complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))),bind(Z,$fot(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3939,plain,
( complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3937,refute_1_3938]) ).
cnf(refute_1_3940,plain,
complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3303,refute_1_3939]) ).
cnf(refute_1_3941,plain,
( complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))) != meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))) ),[1],$fot(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_3942,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3940,refute_1_3941]) ).
cnf(refute_1_3943,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_3289,refute_1_3942]) ).
cnf(refute_1_3944,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(one,composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_3287,refute_1_3943]) ).
cnf(refute_1_3945,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3946,plain,
meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_3944,refute_1_3945]) ).
cnf(refute_1_3947,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3948,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3946,refute_1_3947]) ).
cnf(refute_1_3949,plain,
meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_464,refute_1_3948]) ).
cnf(refute_1_3950,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_3951,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_3946,refute_1_3950]) ).
cnf(refute_1_3952,plain,
meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3953,plain,
meet(complement(join(X0,X1)),X_982) = complement(join(join(X0,X1),complement(X_982))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(X_982)),bind(X_981,$fot(join(X0,X1)))]]) ).
cnf(refute_1_3954,plain,
join(X0,join(X1,complement(X_982))) = join(join(X0,X1),complement(X_982)),
inference(subst,[],[refute_1_46:[bind(X2,$fot(complement(X_982)))]]) ).
cnf(refute_1_3955,plain,
( join(X0,join(X1,complement(X_982))) != join(join(X0,X1),complement(X_982))
| join(join(X0,X1),complement(X_982)) = join(X0,join(X1,complement(X_982))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X1,complement(X_982))))),bind(Y,$fot(join(join(X0,X1),complement(X_982))))]]) ).
cnf(refute_1_3956,plain,
join(join(X0,X1),complement(X_982)) = join(X0,join(X1,complement(X_982))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_982))),join(join(X0,X1),complement(X_982))) )],[refute_1_3954,refute_1_3955]) ).
cnf(refute_1_3957,plain,
( join(join(X0,X1),complement(X_982)) != join(X0,join(X1,complement(X_982)))
| meet(complement(join(X0,X1)),X_982) != complement(join(join(X0,X1),complement(X_982)))
| meet(complement(join(X0,X1)),X_982) = complement(join(X0,join(X1,complement(X_982)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X0,X1)),X_982),complement(join(join(X0,X1),complement(X_982)))) ),[1,0],$fot(join(X0,join(X1,complement(X_982))))]]) ).
cnf(refute_1_3958,plain,
( meet(complement(join(X0,X1)),X_982) != complement(join(join(X0,X1),complement(X_982)))
| meet(complement(join(X0,X1)),X_982) = complement(join(X0,join(X1,complement(X_982)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_982)),join(X0,join(X1,complement(X_982)))) )],[refute_1_3956,refute_1_3957]) ).
cnf(refute_1_3959,plain,
meet(complement(join(X0,X1)),X_982) = complement(join(X0,join(X1,complement(X_982)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_982),complement(join(join(X0,X1),complement(X_982)))) )],[refute_1_3953,refute_1_3958]) ).
cnf(refute_1_3960,plain,
( meet(complement(join(X0,X1)),X_982) != complement(join(X0,join(X1,complement(X_982))))
| complement(join(X0,join(X1,complement(X_982)))) = meet(complement(join(X0,X1)),X_982) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(join(X0,X1)),X_982))),bind(Y,$fot(complement(join(X0,join(X1,complement(X_982))))))]]) ).
cnf(refute_1_3961,plain,
complement(join(X0,join(X1,complement(X_982)))) = meet(complement(join(X0,X1)),X_982),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_982),complement(join(X0,join(X1,complement(X_982))))) )],[refute_1_3959,refute_1_3960]) ).
cnf(refute_1_3962,plain,
complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) = meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one),
inference(subst,[],[refute_1_3961:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_982,$fot(one))]]) ).
cnf(refute_1_3963,plain,
( complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) != meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one)
| meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))))),bind(Y,$fot(meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3964,plain,
( meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))),meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one)) )],[refute_1_3962,refute_1_3963]) ).
cnf(refute_1_3965,plain,
complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),one),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3952,refute_1_3964]) ).
cnf(refute_1_3966,plain,
complement(join(join(X0,X1),X_1278)) = complement(join(X_1278,join(X0,X1))),
inference(subst,[],[refute_1_1104:[bind(X_1257,$fot(join(X0,X1))),bind(X_1258,$fot(X_1278))]]) ).
cnf(refute_1_3967,plain,
join(X0,join(X1,X_1278)) = join(join(X0,X1),X_1278),
inference(subst,[],[refute_1_46:[bind(X2,$fot(X_1278))]]) ).
cnf(refute_1_3968,plain,
( join(X0,join(X1,X_1278)) != join(join(X0,X1),X_1278)
| join(join(X0,X1),X_1278) = join(X0,join(X1,X_1278)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X1,X_1278)))),bind(Y,$fot(join(join(X0,X1),X_1278)))]]) ).
cnf(refute_1_3969,plain,
join(join(X0,X1),X_1278) = join(X0,join(X1,X_1278)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_1278)),join(join(X0,X1),X_1278)) )],[refute_1_3967,refute_1_3968]) ).
cnf(refute_1_3970,plain,
( complement(join(join(X0,X1),X_1278)) != complement(join(X_1278,join(X0,X1)))
| join(join(X0,X1),X_1278) != join(X0,join(X1,X_1278))
| complement(join(X0,join(X1,X_1278))) = complement(join(X_1278,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X0,X1),X_1278)),complement(join(X_1278,join(X0,X1)))) ),[0,0],$fot(join(X0,join(X1,X_1278)))]]) ).
cnf(refute_1_3971,plain,
( complement(join(join(X0,X1),X_1278)) != complement(join(X_1278,join(X0,X1)))
| complement(join(X0,join(X1,X_1278))) = complement(join(X_1278,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_1278),join(X0,join(X1,X_1278))) )],[refute_1_3969,refute_1_3970]) ).
cnf(refute_1_3972,plain,
complement(join(X0,join(X1,X_1278))) = complement(join(X_1278,join(X0,X1))),
inference(resolve,[$cnf( $equal(complement(join(join(X0,X1),X_1278)),complement(join(X_1278,join(X0,X1)))) )],[refute_1_3966,refute_1_3971]) ).
cnf(refute_1_3973,plain,
( complement(join(X0,join(X1,X_1278))) != complement(join(X_1278,join(X0,X1)))
| complement(join(X_1278,join(X0,X1))) = complement(join(X0,join(X1,X_1278))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(join(X0,join(X1,X_1278))))),bind(Y,$fot(complement(join(X_1278,join(X0,X1)))))]]) ).
cnf(refute_1_3974,plain,
complement(join(X_1278,join(X0,X1))) = complement(join(X0,join(X1,X_1278))),
inference(resolve,[$cnf( $equal(complement(join(X0,join(X1,X_1278))),complement(join(X_1278,join(X0,X1)))) )],[refute_1_3972,refute_1_3973]) ).
cnf(refute_1_3975,plain,
complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))),
inference(subst,[],[refute_1_3974:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_1278,$fot(complement(one)))]]) ).
cnf(refute_1_3976,plain,
( complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one))))
| complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3977,plain,
( complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one))))) )],[refute_1_3975,refute_1_3976]) ).
cnf(refute_1_3978,plain,
complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),complement(one)))),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3965,refute_1_3977]) ).
cnf(refute_1_3979,plain,
complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) = complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_3974:[bind(X0,$fot(complement(one))),bind(X1,$fot(skolemFOFtoCNF_X0_1)),bind(X_1278,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_3980,plain,
( complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) != complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3981,plain,
( complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))),complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3979,refute_1_3980]) ).
cnf(refute_1_3982,plain,
complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3978,refute_1_3981]) ).
cnf(refute_1_3983,plain,
meet(complement(X_981),meet(X_1030,complement(X_1031))) = complement(join(X_981,complement(meet(X_1030,complement(X_1031))))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(meet(X_1030,complement(X_1031))))]]) ).
cnf(refute_1_3984,plain,
join(complement(X_1030),X_1031) = complement(meet(X_1030,complement(X_1031))),
inference(subst,[],[refute_1_1175:[bind(X_1010,$fot(X_1030)),bind(X_675,$fot(X_1031))]]) ).
cnf(refute_1_3985,plain,
( join(complement(X_1030),X_1031) != complement(meet(X_1030,complement(X_1031)))
| complement(meet(X_1030,complement(X_1031))) = join(complement(X_1030),X_1031) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(X_1030),X_1031))),bind(Y,$fot(complement(meet(X_1030,complement(X_1031)))))]]) ).
cnf(refute_1_3986,plain,
complement(meet(X_1030,complement(X_1031))) = join(complement(X_1030),X_1031),
inference(resolve,[$cnf( $equal(join(complement(X_1030),X_1031),complement(meet(X_1030,complement(X_1031)))) )],[refute_1_3984,refute_1_3985]) ).
cnf(refute_1_3987,plain,
( complement(meet(X_1030,complement(X_1031))) != join(complement(X_1030),X_1031)
| meet(complement(X_981),meet(X_1030,complement(X_1031))) != complement(join(X_981,complement(meet(X_1030,complement(X_1031)))))
| meet(complement(X_981),meet(X_1030,complement(X_1031))) = complement(join(X_981,join(complement(X_1030),X_1031))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_981),meet(X_1030,complement(X_1031))),complement(join(X_981,complement(meet(X_1030,complement(X_1031)))))) ),[1,0,1],$fot(join(complement(X_1030),X_1031))]]) ).
cnf(refute_1_3988,plain,
( meet(complement(X_981),meet(X_1030,complement(X_1031))) != complement(join(X_981,complement(meet(X_1030,complement(X_1031)))))
| meet(complement(X_981),meet(X_1030,complement(X_1031))) = complement(join(X_981,join(complement(X_1030),X_1031))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1030,complement(X_1031))),join(complement(X_1030),X_1031)) )],[refute_1_3986,refute_1_3987]) ).
cnf(refute_1_3989,plain,
meet(complement(X_981),meet(X_1030,complement(X_1031))) = complement(join(X_981,join(complement(X_1030),X_1031))),
inference(resolve,[$cnf( $equal(meet(complement(X_981),meet(X_1030,complement(X_1031))),complement(join(X_981,complement(meet(X_1030,complement(X_1031)))))) )],[refute_1_3983,refute_1_3988]) ).
cnf(refute_1_3990,plain,
meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_3989:[bind(X_1030,$fot(one)),bind(X_1031,$fot(skolemFOFtoCNF_X0_1)),bind(X_981,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_3991,plain,
( complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1)))
| meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))))]]) ).
cnf(refute_1_3992,plain,
( complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1)))) )],[refute_1_3990,refute_1_3991]) ).
cnf(refute_1_3993,plain,
meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),skolemFOFtoCNF_X0_1))),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3982,refute_1_3992]) ).
cnf(refute_1_3994,plain,
( meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_3995,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3993,refute_1_3994]) ).
cnf(refute_1_3996,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3951,refute_1_3995]) ).
cnf(refute_1_3997,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0_1,top)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),meet(complement(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3949,refute_1_3996]) ).
cnf(refute_1_3998,plain,
composition(skolemFOFtoCNF_X0_1,join(one,top)) = composition(skolemFOFtoCNF_X0_1,join(one,top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,join(one,top)))]]) ).
cnf(refute_1_3999,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,top)) != composition(skolemFOFtoCNF_X0_1,join(one,top))
| join(one,top) != top
| composition(skolemFOFtoCNF_X0_1,join(one,top)) = composition(skolemFOFtoCNF_X0_1,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,top)),composition(skolemFOFtoCNF_X0_1,join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_4000,plain,
( join(one,top) != top
| composition(skolemFOFtoCNF_X0_1,join(one,top)) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,top)),composition(skolemFOFtoCNF_X0_1,join(one,top))) )],[refute_1_3998,refute_1_3999]) ).
cnf(refute_1_4001,plain,
composition(skolemFOFtoCNF_X0_1,join(one,top)) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_4000]) ).
cnf(refute_1_4002,plain,
( composition(X_725,join(one,X_726)) != join(X_725,composition(X_725,X_726))
| join(X_725,composition(X_725,X_726)) = composition(X_725,join(one,X_726)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(X_725,join(one,X_726)))),bind(Y,$fot(join(X_725,composition(X_725,X_726))))]]) ).
cnf(refute_1_4003,plain,
join(X_725,composition(X_725,X_726)) = composition(X_725,join(one,X_726)),
inference(resolve,[$cnf( $equal(composition(X_725,join(one,X_726)),join(X_725,composition(X_725,X_726))) )],[refute_1_2107,refute_1_4002]) ).
cnf(refute_1_4004,plain,
join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = composition(skolemFOFtoCNF_X0_1,join(one,top)),
inference(subst,[],[refute_1_4003:[bind(X_725,$fot(skolemFOFtoCNF_X0_1)),bind(X_726,$fot(top))]]) ).
cnf(refute_1_4005,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,top)) != composition(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != composition(skolemFOFtoCNF_X0_1,join(one,top))
| join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,join(one,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_4006,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,top)) != composition(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),composition(skolemFOFtoCNF_X0_1,join(one,top))) )],[refute_1_4004,refute_1_4005]) ).
cnf(refute_1_4007,plain,
join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,top)),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_4001,refute_1_4006]) ).
cnf(refute_1_4008,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_566:[bind(X_734,$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))),bind(X_735,$fot(complement(one)))]]) ).
cnf(refute_1_4009,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_3473:[bind(X0,$fot(X_953)),bind(X_617,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4010,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4011,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4012,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_4010,refute_1_4011]) ).
cnf(refute_1_4013,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3092,refute_1_4012]) ).
cnf(refute_1_4014,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) ),[0],$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4015,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(one),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4013,refute_1_4014]) ).
cnf(refute_1_4016,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| join(complement(one),converse(skolemFOFtoCNF_X0_1)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4017,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_3069,refute_1_4016]) ).
cnf(refute_1_4018,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))) != join(complement(one),converse(skolemFOFtoCNF_X0_1))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_4015,refute_1_4017]) ).
cnf(refute_1_4019,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0_1)))),join(complement(one),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_1702,refute_1_4018]) ).
cnf(refute_1_4020,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4021,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4019,refute_1_4020]) ).
cnf(refute_1_4022,plain,
join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4009,refute_1_4021]) ).
cnf(refute_1_4023,plain,
composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)),
inference(subst,[],[refute_1_1022:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X1,$fot(X_953))]]) ).
cnf(refute_1_4024,plain,
complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4025,plain,
( complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))
| complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))]]) ).
cnf(refute_1_4026,plain,
( composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))
| complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4024,refute_1_4025]) ).
cnf(refute_1_4027,plain,
complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))),
inference(resolve,[$cnf( $equal(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))) )],[refute_1_4023,refute_1_4026]) ).
cnf(refute_1_4028,plain,
composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4029,plain,
( complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))
| composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))]]) ).
cnf(refute_1_4030,plain,
( complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))
| composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))) ),
inference(resolve,[$cnf( $equal(composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4028,refute_1_4029]) ).
cnf(refute_1_4031,plain,
composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))) )],[refute_1_4027,refute_1_4030]) ).
cnf(refute_1_4032,plain,
join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4033,plain,
( composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))
| join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,1],$fot(composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))]]) ).
cnf(refute_1_4034,plain,
( composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))
| join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_4032,refute_1_4033]) ).
cnf(refute_1_4035,plain,
join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))),
inference(resolve,[$cnf( $equal(composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))) )],[refute_1_4031,refute_1_4034]) ).
cnf(refute_1_4036,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_4037,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))]]) ).
cnf(refute_1_4038,plain,
( join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_4036,refute_1_4037]) ).
cnf(refute_1_4039,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) )],[refute_1_4035,refute_1_4038]) ).
cnf(refute_1_4040,plain,
join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_4041,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(one)),bind(X_703,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_4042,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != complement(one)
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_4043,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(one)) )],[refute_1_2501,refute_1_4042]) ).
cnf(refute_1_4044,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(complement(one),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_4041,refute_1_4043]) ).
cnf(refute_1_4045,plain,
join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)))]]) ).
cnf(refute_1_4046,plain,
( join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) != join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one) != meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))) ),[1,1],$fot(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_4047,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one) != meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))) )],[refute_1_4045,refute_1_4046]) ).
cnf(refute_1_4048,plain,
join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_2505,refute_1_4047]) ).
cnf(refute_1_4049,plain,
join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) = join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)))]]) ).
cnf(refute_1_4050,plain,
( join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) != join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))
| join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)))),bind(Z,$fot(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_4051,plain,
( join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)),join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one))) )],[refute_1_4049,refute_1_4050]) ).
cnf(refute_1_4052,plain,
join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one)),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_4048,refute_1_4051]) ).
cnf(refute_1_4053,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one))
| join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[0],$fot(join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)))]]) ).
cnf(refute_1_4054,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one)),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_4052,refute_1_4053]) ).
cnf(refute_1_4055,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),complement(one))) )],[refute_1_4044,refute_1_4054]) ).
cnf(refute_1_4056,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_4057,plain,
join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_4055,refute_1_4056]) ).
cnf(refute_1_4058,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) != join(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),X2)
| join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),X2)) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4059,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) != join(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),X2)
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4057,refute_1_4058]) ).
cnf(refute_1_4060,plain,
join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one))))),X2)) )],[refute_1_4040,refute_1_4059]) ).
cnf(refute_1_4061,plain,
join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) = join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2),
introduced(tautology,[refl,[$fot(join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2))]]) ).
cnf(refute_1_4062,plain,
( join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) != join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)
| meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(skolemFOFtoCNF_X0_1)
| join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) = join(converse(skolemFOFtoCNF_X0_1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) ),[1,0],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4063,plain,
( meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(skolemFOFtoCNF_X0_1)
| join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) = join(converse(skolemFOFtoCNF_X0_1),X2) ),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) )],[refute_1_4061,refute_1_4062]) ).
cnf(refute_1_4064,plain,
join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) = join(converse(skolemFOFtoCNF_X0_1),X2),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_3078,refute_1_4063]) ).
cnf(refute_1_4065,plain,
join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),
introduced(tautology,[refl,[$fot(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)))]]) ).
cnf(refute_1_4066,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) != join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2))
| join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) != join(converse(skolemFOFtoCNF_X0_1),X2)
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),X2))]]) ).
cnf(refute_1_4067,plain,
( join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2) != join(converse(skolemFOFtoCNF_X0_1),X2)
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2))) )],[refute_1_4065,refute_1_4066]) ).
cnf(refute_1_4068,plain,
join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)),
inference(resolve,[$cnf( $equal(join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2),join(converse(skolemFOFtoCNF_X0_1),X2)) )],[refute_1_4064,refute_1_4067]) ).
cnf(refute_1_4069,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2))
| join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)) ),[0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)))]]) ).
cnf(refute_1_4070,plain,
( join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2))) )],[refute_1_4068,refute_1_4069]) ).
cnf(refute_1_4071,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),X2)),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)) )],[refute_1_4060,refute_1_4070]) ).
cnf(refute_1_4072,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)))),bind(Y,$fot(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)))]]) ).
cnf(refute_1_4073,plain,
join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)) )],[refute_1_4071,refute_1_4072]) ).
cnf(refute_1_4074,plain,
join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_4073:[bind(X2,$fot(composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4075,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))))]]) ).
cnf(refute_1_4076,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_4074,refute_1_4075]) ).
cnf(refute_1_4077,plain,
join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))) )],[refute_1_4039,refute_1_4076]) ).
cnf(refute_1_4078,plain,
( join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))))]]) ).
cnf(refute_1_4079,plain,
( join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953))))))) )],[refute_1_4077,refute_1_4078]) ).
cnf(refute_1_4080,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4081,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4019,refute_1_4080]) ).
cnf(refute_1_4082,plain,
( join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4079,refute_1_4081]) ).
cnf(refute_1_4083,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_953,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_953)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),composition(X_953,complement(composition(converse(X_953),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4022,refute_1_4082]) ).
cnf(refute_1_4084,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(subst,[],[refute_1_4083:[bind(X_953,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4085,plain,
composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_2107:[bind(X_725,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_726,$fot(complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4086,plain,
( composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))
| join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4087,plain,
join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4085,refute_1_4086]) ).
cnf(refute_1_4088,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0,1],$fot(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4089,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4087,refute_1_4088]) ).
cnf(refute_1_4090,plain,
join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4084,refute_1_4089]) ).
cnf(refute_1_4091,plain,
composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1022:[bind(X0,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4092,plain,
converse(join(one,complement(X_938))) = join(one,converse(complement(X_938))),
inference(subst,[],[refute_1_204:[bind(X1,$fot(complement(X_938)))]]) ).
cnf(refute_1_4093,plain,
( converse(complement(X_938)) != complement(converse(X_938))
| converse(join(one,complement(X_938))) != join(one,converse(complement(X_938)))
| converse(join(one,complement(X_938))) = join(one,complement(converse(X_938))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(X_938))),join(one,converse(complement(X_938)))) ),[1,1],$fot(complement(converse(X_938)))]]) ).
cnf(refute_1_4094,plain,
( converse(join(one,complement(X_938))) != join(one,converse(complement(X_938)))
| converse(join(one,complement(X_938))) = join(one,complement(converse(X_938))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_938)),complement(converse(X_938))) )],[refute_1_3395,refute_1_4093]) ).
cnf(refute_1_4095,plain,
converse(join(one,complement(X_938))) = join(one,complement(converse(X_938))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(X_938))),join(one,converse(complement(X_938)))) )],[refute_1_4092,refute_1_4094]) ).
cnf(refute_1_4096,plain,
( converse(join(one,complement(X_938))) != join(one,complement(converse(X_938)))
| join(one,complement(converse(X_938))) = converse(join(one,complement(X_938))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(one,complement(X_938))))),bind(Y,$fot(join(one,complement(converse(X_938)))))]]) ).
cnf(refute_1_4097,plain,
join(one,complement(converse(X_938))) = converse(join(one,complement(X_938))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(X_938))),join(one,complement(converse(X_938)))) )],[refute_1_4095,refute_1_4096]) ).
cnf(refute_1_4098,plain,
join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) = converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_4097:[bind(X_938,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4099,plain,
composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4100,plain,
( composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))
| join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) != converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))
| composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4101,plain,
( join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) != converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))
| composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4099,refute_1_4100]) ).
cnf(refute_1_4102,plain,
composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4098,refute_1_4101]) ).
cnf(refute_1_4103,plain,
( composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))
| composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))
| composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4104,plain,
( composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))
| composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4102,refute_1_4103]) ).
cnf(refute_1_4105,plain,
composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) )],[refute_1_4091,refute_1_4104]) ).
cnf(refute_1_4106,plain,
join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4107,plain,
( composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))
| join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) != join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))
| join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1],$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4108,plain,
( composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))
| join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_4106,refute_1_4107]) ).
cnf(refute_1_4109,plain,
join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) = join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) )],[refute_1_4105,refute_1_4108]) ).
cnf(refute_1_4110,plain,
( join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) != join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4111,plain,
( join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) )],[refute_1_4109,refute_1_4110]) ).
cnf(refute_1_4112,plain,
join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(skolemFOFtoCNF_X0_1),join(one,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4090,refute_1_4111]) ).
cnf(refute_1_4113,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))
| join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4114,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4112,refute_1_4113]) ).
cnf(refute_1_4115,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),join(complement(one),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))) )],[refute_1_4008,refute_1_4114]) ).
cnf(refute_1_4116,plain,
meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_602,$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4117,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) ),[0],$fot(meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_4118,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) )],[refute_1_4116,refute_1_4117]) ).
cnf(refute_1_4119,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),meet(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_4115,refute_1_4118]) ).
cnf(refute_1_4120,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_174:[bind(X_631,$fot(top)),bind(X_633,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4121,plain,
converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_75:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4122,plain,
join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) = zero,
inference(subst,[],[refute_1_3311:[bind(X_616,$fot(converse(X0)))]]) ).
cnf(refute_1_4123,plain,
( converse(converse(X0)) != X0
| join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_1_4124,plain,
( join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_4123]) ).
cnf(refute_1_4125,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) )],[refute_1_4122,refute_1_4124]) ).
cnf(refute_1_4126,plain,
join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_593,X_594)),top)))) = zero,
inference(subst,[],[refute_1_4125:[bind(X0,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_4127,plain,
( converse(join(X_593,X_594)) != converse(join(X_594,X_593))
| join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_593,X_594)),top)))) != zero
| join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_593,X_594)),top)))),zero) ),[0,1,1,0,0],$fot(converse(join(X_594,X_593)))]]) ).
cnf(refute_1_4128,plain,
( join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_593,X_594)),top)))) != zero
| join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(X_593,X_594)),converse(join(X_594,X_593))) )],[refute_1_1053,refute_1_4127]) ).
cnf(refute_1_4129,plain,
join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_593,X_594)),top)))),zero) )],[refute_1_4126,refute_1_4128]) ).
cnf(refute_1_4130,plain,
join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) = composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))))]]) ).
cnf(refute_1_4131,plain,
( join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) != composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))
| join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) != zero
| composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))),zero) ),[0],$fot(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))))]]) ).
cnf(refute_1_4132,plain,
( join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) != zero
| composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))),composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) )],[refute_1_4130,refute_1_4131]) ).
cnf(refute_1_4133,plain,
composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))),zero) )],[refute_1_4129,refute_1_4132]) ).
cnf(refute_1_4134,plain,
composition(converse(join(X_594,X_593)),top) = converse(composition(top,join(X_594,X_593))),
inference(subst,[],[refute_1_3349:[bind(X_596,$fot(join(X_594,X_593)))]]) ).
cnf(refute_1_4135,plain,
complement(composition(converse(join(X_594,X_593)),top)) = complement(composition(converse(join(X_594,X_593)),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(join(X_594,X_593)),top)))]]) ).
cnf(refute_1_4136,plain,
( complement(composition(converse(join(X_594,X_593)),top)) != complement(composition(converse(join(X_594,X_593)),top))
| composition(converse(join(X_594,X_593)),top) != converse(composition(top,join(X_594,X_593)))
| complement(composition(converse(join(X_594,X_593)),top)) = complement(converse(composition(top,join(X_594,X_593)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(join(X_594,X_593)),top)),complement(composition(converse(join(X_594,X_593)),top))) ),[1,0],$fot(converse(composition(top,join(X_594,X_593))))]]) ).
cnf(refute_1_4137,plain,
( composition(converse(join(X_594,X_593)),top) != converse(composition(top,join(X_594,X_593)))
| complement(composition(converse(join(X_594,X_593)),top)) = complement(converse(composition(top,join(X_594,X_593)))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(X_594,X_593)),top)),complement(composition(converse(join(X_594,X_593)),top))) )],[refute_1_4135,refute_1_4136]) ).
cnf(refute_1_4138,plain,
complement(composition(converse(join(X_594,X_593)),top)) = complement(converse(composition(top,join(X_594,X_593)))),
inference(resolve,[$cnf( $equal(composition(converse(join(X_594,X_593)),top),converse(composition(top,join(X_594,X_593)))) )],[refute_1_4134,refute_1_4137]) ).
cnf(refute_1_4139,plain,
composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),
introduced(tautology,[refl,[$fot(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))))]]) ).
cnf(refute_1_4140,plain,
( complement(composition(converse(join(X_594,X_593)),top)) != complement(converse(composition(top,join(X_594,X_593))))
| composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) != composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))
| composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) ),[1,1],$fot(complement(converse(composition(top,join(X_594,X_593)))))]]) ).
cnf(refute_1_4141,plain,
( complement(composition(converse(join(X_594,X_593)),top)) != complement(converse(composition(top,join(X_594,X_593))))
| composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))) ),
inference(resolve,[$cnf( $equal(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top)))) )],[refute_1_4139,refute_1_4140]) ).
cnf(refute_1_4142,plain,
composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) = composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(X_594,X_593)),top)),complement(converse(composition(top,join(X_594,X_593))))) )],[refute_1_4138,refute_1_4141]) ).
cnf(refute_1_4143,plain,
( composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) != composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593)))))
| composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) != zero
| composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),zero) ),[0],$fot(composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))))]]) ).
cnf(refute_1_4144,plain,
( composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))) != zero
| composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593)))))) )],[refute_1_4142,refute_1_4143]) ).
cnf(refute_1_4145,plain,
composition(join(X_593,X_594),complement(converse(composition(top,join(X_594,X_593))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(X_593,X_594),complement(composition(converse(join(X_594,X_593)),top))),zero) )],[refute_1_4133,refute_1_4144]) ).
cnf(refute_1_4146,plain,
composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) = zero,
inference(subst,[],[refute_1_4145:[bind(X_593,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X_594,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4147,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1113:[bind(X_675,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_791,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4148,plain,
join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_740:[bind(X_702,$fot(skolemFOFtoCNF_X0_1)),bind(X_703,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4149,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_713,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4150,plain,
join(X_731,join(complement(X_731),composition(X_631,complement(X_731)))) = top,
inference(subst,[],[refute_1_378:[bind(X_727,$fot(X_731)),bind(X_729,$fot(composition(X_631,complement(X_731))))]]) ).
cnf(refute_1_4151,plain,
composition(join(X_631,one),complement(X_731)) = join(complement(X_731),composition(X_631,complement(X_731))),
inference(subst,[],[refute_1_174:[bind(X_633,$fot(complement(X_731)))]]) ).
cnf(refute_1_4152,plain,
( composition(join(X_631,one),complement(X_731)) != join(complement(X_731),composition(X_631,complement(X_731)))
| join(complement(X_731),composition(X_631,complement(X_731))) = composition(join(X_631,one),complement(X_731)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_631,one),complement(X_731)))),bind(Y,$fot(join(complement(X_731),composition(X_631,complement(X_731)))))]]) ).
cnf(refute_1_4153,plain,
join(complement(X_731),composition(X_631,complement(X_731))) = composition(join(X_631,one),complement(X_731)),
inference(resolve,[$cnf( $equal(composition(join(X_631,one),complement(X_731)),join(complement(X_731),composition(X_631,complement(X_731)))) )],[refute_1_4151,refute_1_4152]) ).
cnf(refute_1_4154,plain,
( join(X_731,join(complement(X_731),composition(X_631,complement(X_731)))) != top
| join(complement(X_731),composition(X_631,complement(X_731))) != composition(join(X_631,one),complement(X_731))
| join(X_731,composition(join(X_631,one),complement(X_731))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_731,join(complement(X_731),composition(X_631,complement(X_731)))),top) ),[0,1],$fot(composition(join(X_631,one),complement(X_731)))]]) ).
cnf(refute_1_4155,plain,
( join(X_731,join(complement(X_731),composition(X_631,complement(X_731)))) != top
| join(X_731,composition(join(X_631,one),complement(X_731))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_731),composition(X_631,complement(X_731))),composition(join(X_631,one),complement(X_731))) )],[refute_1_4153,refute_1_4154]) ).
cnf(refute_1_4156,plain,
join(X_731,composition(join(X_631,one),complement(X_731))) = top,
inference(resolve,[$cnf( $equal(join(X_731,join(complement(X_731),composition(X_631,complement(X_731)))),top) )],[refute_1_4150,refute_1_4155]) ).
cnf(refute_1_4157,plain,
join(X_773,composition(join(top,one),complement(X_773))) = top,
inference(subst,[],[refute_1_4156:[bind(X_631,$fot(top)),bind(X_731,$fot(X_773))]]) ).
cnf(refute_1_4158,plain,
( join(X_773,composition(join(top,one),complement(X_773))) != top
| join(top,one) != top
| join(X_773,composition(top,complement(X_773))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_773,composition(join(top,one),complement(X_773))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_1_4159,plain,
( join(X_773,composition(join(top,one),complement(X_773))) != top
| join(X_773,composition(top,complement(X_773))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_1_1742,refute_1_4158]) ).
cnf(refute_1_4160,plain,
join(X_773,composition(top,complement(X_773))) = top,
inference(resolve,[$cnf( $equal(join(X_773,composition(join(top,one),complement(X_773))),top) )],[refute_1_4157,refute_1_4159]) ).
cnf(refute_1_4161,plain,
join(complement(X_675),composition(top,complement(complement(X_675)))) = top,
inference(subst,[],[refute_1_4160:[bind(X_773,$fot(complement(X_675)))]]) ).
cnf(refute_1_4162,plain,
( complement(complement(X_675)) != X_675
| join(complement(X_675),composition(top,complement(complement(X_675)))) != top
| join(complement(X_675),composition(top,X_675)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_675),composition(top,complement(complement(X_675)))),top) ),[0,1,1],$fot(X_675)]]) ).
cnf(refute_1_4163,plain,
( join(complement(X_675),composition(top,complement(complement(X_675)))) != top
| join(complement(X_675),composition(top,X_675)) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_4162]) ).
cnf(refute_1_4164,plain,
join(complement(X_675),composition(top,X_675)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_675),composition(top,complement(complement(X_675)))),top) )],[refute_1_4161,refute_1_4163]) ).
cnf(refute_1_4165,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = top,
inference(subst,[],[refute_1_4164:[bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4166,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != top
| join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),top) ),[0,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_4167,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != top
| join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_4166]) ).
cnf(refute_1_4168,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_4165,refute_1_4167]) ).
cnf(refute_1_4169,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(one))),bind(X2,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4170,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != top
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),top) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4171,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != top
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = top ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4169,refute_1_4170]) ).
cnf(refute_1_4172,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = top,
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_4168,refute_1_4171]) ).
cnf(refute_1_4173,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| complement(skolemFOFtoCNF_X0_1) = join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_4174,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_4172,refute_1_4173]) ).
cnf(refute_1_4175,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4149,refute_1_4174]) ).
cnf(refute_1_4176,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4177,plain,
meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4178,plain,
join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4179,plain,
( join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4180,plain,
( meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4178,refute_1_4179]) ).
cnf(refute_1_4181,plain,
join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4177,refute_1_4180]) ).
cnf(refute_1_4182,plain,
join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4183,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_4184,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4182,refute_1_4183]) ).
cnf(refute_1_4185,plain,
join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_4184]) ).
cnf(refute_1_4186,plain,
( join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4187,plain,
( join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4185,refute_1_4186]) ).
cnf(refute_1_4188,plain,
join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4181,refute_1_4187]) ).
cnf(refute_1_4189,plain,
( join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4190,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4188,refute_1_4189]) ).
cnf(refute_1_4191,plain,
join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4176,refute_1_4190]) ).
cnf(refute_1_4192,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(skolemFOFtoCNF_X0_1) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4193,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4191,refute_1_4192]) ).
cnf(refute_1_4194,plain,
complement(skolemFOFtoCNF_X0_1) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(top),meet(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4175,refute_1_4193]) ).
cnf(refute_1_4195,plain,
( complement(skolemFOFtoCNF_X0_1) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4196,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4194,refute_1_4195]) ).
cnf(refute_1_4197,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(skolemFOFtoCNF_X0_1)
| join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4198,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_4196,refute_1_4197]) ).
cnf(refute_1_4199,plain,
join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4148,refute_1_4198]) ).
cnf(refute_1_4200,plain,
join(complement(skolemFOFtoCNF_X0_1),X_794) = join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794))))),
inference(subst,[],[refute_1_2751:[bind(X_675,$fot(join(complement(skolemFOFtoCNF_X0_1),X_794))),bind(X_676,$fot(one))]]) ).
cnf(refute_1_4201,plain,
join(one,join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4202,plain,
skolemFOFtoCNF_X0_1 = join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_2751:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_676,$fot(X_766))]]) ).
cnf(refute_1_4203,plain,
( skolemFOFtoCNF_X0_1 != join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4204,plain,
join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4202,refute_1_4203]) ).
cnf(refute_1_4205,plain,
( join(one,join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) != join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| join(one,skolemFOFtoCNF_X0_1) = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))),join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) ),[0,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_4206,plain,
( join(one,join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) != join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))
| join(one,skolemFOFtoCNF_X0_1) = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) )],[refute_1_4204,refute_1_4205]) ).
cnf(refute_1_4207,plain,
join(one,skolemFOFtoCNF_X0_1) = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))),join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4201,refute_1_4206]) ).
cnf(refute_1_4208,plain,
( join(one,skolemFOFtoCNF_X0_1) != join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))
| join(one,skolemFOFtoCNF_X0_1) != one
| one = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(one)]]) ).
cnf(refute_1_4209,plain,
( join(one,skolemFOFtoCNF_X0_1) != join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))
| one = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_1221,refute_1_4208]) ).
cnf(refute_1_4210,plain,
one = join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),join(one,complement(join(X_766,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4207,refute_1_4209]) ).
cnf(refute_1_4211,plain,
one = join(one,complement(join(X_767,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_4210:[bind(X_766,$fot(X_767))]]) ).
cnf(refute_1_4212,plain,
join(complement(skolemFOFtoCNF_X0_1),X_767) = join(X_767,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1:[bind(X0,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X1,$fot(X_767))]]) ).
cnf(refute_1_4213,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_767) != join(X_767,complement(skolemFOFtoCNF_X0_1))
| join(X_767,complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),X_767) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0_1),X_767))),bind(Y,$fot(join(X_767,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4214,plain,
join(X_767,complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),X_767),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),X_767),join(X_767,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_4212,refute_1_4213]) ).
cnf(refute_1_4215,plain,
( join(X_767,complement(skolemFOFtoCNF_X0_1)) != join(complement(skolemFOFtoCNF_X0_1),X_767)
| one != join(one,complement(join(X_767,complement(skolemFOFtoCNF_X0_1))))
| one = join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_767))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,complement(join(X_767,complement(skolemFOFtoCNF_X0_1))))) ),[1,1,0],$fot(join(complement(skolemFOFtoCNF_X0_1),X_767))]]) ).
cnf(refute_1_4216,plain,
( one != join(one,complement(join(X_767,complement(skolemFOFtoCNF_X0_1))))
| one = join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_767))) ),
inference(resolve,[$cnf( $equal(join(X_767,complement(skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),X_767)) )],[refute_1_4214,refute_1_4215]) ).
cnf(refute_1_4217,plain,
one = join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_767))),
inference(resolve,[$cnf( $equal(one,join(one,complement(join(X_767,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4211,refute_1_4216]) ).
cnf(refute_1_4218,plain,
one = join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794))),
inference(subst,[],[refute_1_4217:[bind(X_767,$fot(X_794))]]) ).
cnf(refute_1_4219,plain,
( one != join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))
| join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))))]]) ).
cnf(refute_1_4220,plain,
join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))) )],[refute_1_4218,refute_1_4219]) ).
cnf(refute_1_4221,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_794) != join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))))
| join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794))) != one
| join(complement(skolemFOFtoCNF_X0_1),X_794) = join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),X_794),join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_1_4222,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_794) != join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))))
| join(complement(skolemFOFtoCNF_X0_1),X_794) = join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794))),one) )],[refute_1_4220,refute_1_4221]) ).
cnf(refute_1_4223,plain,
join(complement(skolemFOFtoCNF_X0_1),X_794) = join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),X_794),join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(join(one,complement(join(complement(skolemFOFtoCNF_X0_1),X_794)))))) )],[refute_1_4200,refute_1_4222]) ).
cnf(refute_1_4224,plain,
join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one))) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)),
inference(subst,[],[refute_1_678:[bind(X0,$fot(complement(one))),bind(X_727,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_728,$fot(X_794))]]) ).
cnf(refute_1_4225,plain,
join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) = join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X1,$fot(X_794)),bind(X2,$fot(complement(one)))]]) ).
cnf(refute_1_4226,plain,
( join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one))) != join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))
| join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) != join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one)))
| join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one))))),bind(Z,$fot(join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))))]]) ).
cnf(refute_1_4227,plain,
( join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one))) != join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))
| join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)) ),
inference(resolve,[$cnf( $equal(join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)),join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one)))) )],[refute_1_4225,refute_1_4226]) ).
cnf(refute_1_4228,plain,
join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),join(X_794,complement(one))),join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))) )],[refute_1_4224,refute_1_4227]) ).
cnf(refute_1_4229,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_794) != join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one))
| join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)) != join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))
| join(complement(skolemFOFtoCNF_X0_1),X_794) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(skolemFOFtoCNF_X0_1),X_794),join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))) ),[0],$fot(join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)))]]) ).
cnf(refute_1_4230,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_794) != join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one))
| join(complement(skolemFOFtoCNF_X0_1),X_794) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)) ),
inference(resolve,[$cnf( $equal(join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one)),join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))) )],[refute_1_4228,refute_1_4229]) ).
cnf(refute_1_4231,plain,
join(complement(skolemFOFtoCNF_X0_1),X_794) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),X_794),join(join(complement(skolemFOFtoCNF_X0_1),X_794),complement(one))) )],[refute_1_4223,refute_1_4230]) ).
cnf(refute_1_4232,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_794) != join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))
| join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)) = join(complement(skolemFOFtoCNF_X0_1),X_794) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0_1),X_794))),bind(Y,$fot(join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))))]]) ).
cnf(refute_1_4233,plain,
join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794)) = join(complement(skolemFOFtoCNF_X0_1),X_794),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),X_794),join(complement(one),join(complement(skolemFOFtoCNF_X0_1),X_794))) )],[refute_1_4231,refute_1_4232]) ).
cnf(refute_1_4234,plain,
join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_4233:[bind(X_794,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4235,plain,
join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) = join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_737,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4236,plain,
( join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) != join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4237,plain,
( join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))),join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4235,refute_1_4236]) ).
cnf(refute_1_4238,plain,
join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4234,refute_1_4237]) ).
cnf(refute_1_4239,plain,
join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) = join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X2,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4240,plain,
( join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) != join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) != join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)))
| join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4241,plain,
( join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))) != join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)),join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4239,refute_1_4240]) ).
cnf(refute_1_4242,plain,
join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1))),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4238,refute_1_4241]) ).
cnf(refute_1_4243,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))
| join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) != join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4244,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))
| join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4242,refute_1_4243]) ).
cnf(refute_1_4245,plain,
join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_4199,refute_1_4244]) ).
cnf(refute_1_4246,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4247,plain,
join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4245,refute_1_4246]) ).
cnf(refute_1_4248,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0,0],$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4249,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4247,refute_1_4248]) ).
cnf(refute_1_4250,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4147,refute_1_4249]) ).
cnf(refute_1_4251,plain,
join(X_676,meet(complement(X_676),X_758)) = join(X_676,X_758),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(X_758)),bind(X_720,$fot(X_676))]]) ).
cnf(refute_1_4252,plain,
complement(join(X_676,complement(X_758))) = meet(complement(X_676),X_758),
inference(subst,[],[refute_1_3255:[bind(X_979,$fot(X_758)),bind(X_981,$fot(X_676))]]) ).
cnf(refute_1_4253,plain,
join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,complement(join(X_676,complement(X_758)))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(X_676,complement(X_758)))))]]) ).
cnf(refute_1_4254,plain,
( complement(join(X_676,complement(X_758))) != meet(complement(X_676),X_758)
| join(X_676,complement(join(X_676,complement(X_758)))) != join(X_676,complement(join(X_676,complement(X_758))))
| join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,meet(complement(X_676),X_758)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(X_676,complement(X_758)))),join(X_676,complement(join(X_676,complement(X_758))))) ),[1,1],$fot(meet(complement(X_676),X_758))]]) ).
cnf(refute_1_4255,plain,
( complement(join(X_676,complement(X_758))) != meet(complement(X_676),X_758)
| join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,meet(complement(X_676),X_758)) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(X_758)))),join(X_676,complement(join(X_676,complement(X_758))))) )],[refute_1_4253,refute_1_4254]) ).
cnf(refute_1_4256,plain,
join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,meet(complement(X_676),X_758)),
inference(resolve,[$cnf( $equal(complement(join(X_676,complement(X_758))),meet(complement(X_676),X_758)) )],[refute_1_4252,refute_1_4255]) ).
cnf(refute_1_4257,plain,
( join(X_676,complement(join(X_676,complement(X_758)))) != join(X_676,meet(complement(X_676),X_758))
| join(X_676,meet(complement(X_676),X_758)) != join(X_676,X_758)
| join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,X_758) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_676,complement(join(X_676,complement(X_758)))))),bind(Y,$fot(join(X_676,meet(complement(X_676),X_758)))),bind(Z,$fot(join(X_676,X_758)))]]) ).
cnf(refute_1_4258,plain,
( join(X_676,meet(complement(X_676),X_758)) != join(X_676,X_758)
| join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,X_758) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(X_758)))),join(X_676,meet(complement(X_676),X_758))) )],[refute_1_4256,refute_1_4257]) ).
cnf(refute_1_4259,plain,
join(X_676,complement(join(X_676,complement(X_758)))) = join(X_676,X_758),
inference(resolve,[$cnf( $equal(join(X_676,meet(complement(X_676),X_758)),join(X_676,X_758)) )],[refute_1_4251,refute_1_4258]) ).
cnf(refute_1_4260,plain,
( join(X_676,complement(join(X_676,complement(X_758)))) != join(X_676,X_758)
| join(X_758,X_676) != join(X_676,complement(join(X_676,complement(X_758))))
| join(X_758,X_676) = join(X_676,X_758) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(X_676,complement(X_758))))) ),[1],$fot(join(X_676,X_758))]]) ).
cnf(refute_1_4261,plain,
( join(X_758,X_676) != join(X_676,complement(join(X_676,complement(X_758))))
| join(X_758,X_676) = join(X_676,X_758) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,complement(X_758)))),join(X_676,X_758)) )],[refute_1_4259,refute_1_4260]) ).
cnf(refute_1_4262,plain,
join(X_758,X_676) = join(X_676,X_758),
inference(resolve,[$cnf( $equal(join(X_758,X_676),join(X_676,complement(join(X_676,complement(X_758))))) )],[refute_1_889,refute_1_4261]) ).
cnf(refute_1_4263,plain,
( join(X_758,X_676) != join(X_676,X_758)
| join(X_676,X_758) = join(X_758,X_676) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_758,X_676))),bind(Y,$fot(join(X_676,X_758)))]]) ).
cnf(refute_1_4264,plain,
join(X_676,X_758) = join(X_758,X_676),
inference(resolve,[$cnf( $equal(join(X_758,X_676),join(X_676,X_758)) )],[refute_1_4262,refute_1_4263]) ).
cnf(refute_1_4265,plain,
join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(X_758,$fot(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4266,plain,
meet(complement(X_983),complement(X_675)) = complement(join(X_983,complement(complement(X_675)))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(complement(X_675))),bind(X_981,$fot(X_983))]]) ).
cnf(refute_1_4267,plain,
( complement(complement(X_675)) != X_675
| meet(complement(X_983),complement(X_675)) != complement(join(X_983,complement(complement(X_675))))
| meet(complement(X_983),complement(X_675)) = complement(join(X_983,X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_983),complement(X_675)),complement(join(X_983,complement(complement(X_675))))) ),[1,0,1],$fot(X_675)]]) ).
cnf(refute_1_4268,plain,
( meet(complement(X_983),complement(X_675)) != complement(join(X_983,complement(complement(X_675))))
| meet(complement(X_983),complement(X_675)) = complement(join(X_983,X_675)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_4267]) ).
cnf(refute_1_4269,plain,
meet(complement(X_983),complement(X_675)) = complement(join(X_983,X_675)),
inference(resolve,[$cnf( $equal(meet(complement(X_983),complement(X_675)),complement(join(X_983,complement(complement(X_675))))) )],[refute_1_4266,refute_1_4268]) ).
cnf(refute_1_4270,plain,
meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_4269:[bind(X_675,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_983,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4271,plain,
join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4272,plain,
( join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4273,plain,
( meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4271,refute_1_4272]) ).
cnf(refute_1_4274,plain,
join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4270,refute_1_4273]) ).
cnf(refute_1_4275,plain,
meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one) = meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4276,plain,
complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one),
inference(subst,[],[refute_1_3299:[bind(X_982,$fot(one)),bind(X_983,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4277,plain,
( complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one)
| meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one) != meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one))),bind(Z,$fot(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4278,plain,
( meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one) != meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one)) )],[refute_1_4276,refute_1_4277]) ).
cnf(refute_1_4279,plain,
complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),one),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4275,refute_1_4278]) ).
cnf(refute_1_4280,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4281,plain,
( complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4282,plain,
( complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4280,refute_1_4281]) ).
cnf(refute_1_4283,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4279,refute_1_4282]) ).
cnf(refute_1_4284,plain,
( join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4285,plain,
( join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4283,refute_1_4284]) ).
cnf(refute_1_4286,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4274,refute_1_4285]) ).
cnf(refute_1_4287,plain,
( join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4288,plain,
( join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4286,refute_1_4287]) ).
cnf(refute_1_4289,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4265,refute_1_4288]) ).
cnf(refute_1_4290,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[0],$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4291,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4289,refute_1_4290]) ).
cnf(refute_1_4292,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4250,refute_1_4291]) ).
cnf(refute_1_4293,plain,
join(complement(X_1010),meet(X_1030,complement(X_1031))) = complement(meet(X_1010,complement(meet(X_1030,complement(X_1031))))),
inference(subst,[],[refute_1_1175:[bind(X_675,$fot(meet(X_1030,complement(X_1031))))]]) ).
cnf(refute_1_4294,plain,
( complement(meet(X_1030,complement(X_1031))) != join(complement(X_1030),X_1031)
| join(complement(X_1010),meet(X_1030,complement(X_1031))) != complement(meet(X_1010,complement(meet(X_1030,complement(X_1031)))))
| join(complement(X_1010),meet(X_1030,complement(X_1031))) = complement(meet(X_1010,join(complement(X_1030),X_1031))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),meet(X_1030,complement(X_1031))),complement(meet(X_1010,complement(meet(X_1030,complement(X_1031)))))) ),[1,0,1],$fot(join(complement(X_1030),X_1031))]]) ).
cnf(refute_1_4295,plain,
( join(complement(X_1010),meet(X_1030,complement(X_1031))) != complement(meet(X_1010,complement(meet(X_1030,complement(X_1031)))))
| join(complement(X_1010),meet(X_1030,complement(X_1031))) = complement(meet(X_1010,join(complement(X_1030),X_1031))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1030,complement(X_1031))),join(complement(X_1030),X_1031)) )],[refute_1_3986,refute_1_4294]) ).
cnf(refute_1_4296,plain,
join(complement(X_1010),meet(X_1030,complement(X_1031))) = complement(meet(X_1010,join(complement(X_1030),X_1031))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),meet(X_1030,complement(X_1031))),complement(meet(X_1010,complement(meet(X_1030,complement(X_1031)))))) )],[refute_1_4293,refute_1_4295]) ).
cnf(refute_1_4297,plain,
join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_4296:[bind(X_1010,$fot(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X_1030,$fot(one)),bind(X_1031,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4298,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[0],$fot(join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4299,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4297,refute_1_4298]) ).
cnf(refute_1_4300,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4292,refute_1_4299]) ).
cnf(refute_1_4301,plain,
join(X_791,complement(X_790)) = join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(join(meet(X_791,X_790),complement(join(X_791,complement(X_790)))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(join(X_791,complement(X_790)))),bind(X_711,$fot(meet(X_791,X_790)))]]) ).
cnf(refute_1_4302,plain,
X_790 = join(meet(X_791,X_790),complement(join(X_791,complement(X_790)))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(X_790)),bind(X_711,$fot(X_791))]]) ).
cnf(refute_1_4303,plain,
( X_790 != join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))
| join(meet(X_791,X_790),complement(join(X_791,complement(X_790)))) = X_790 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_790)),bind(Y,$fot(join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))))]]) ).
cnf(refute_1_4304,plain,
join(meet(X_791,X_790),complement(join(X_791,complement(X_790)))) = X_790,
inference(resolve,[$cnf( $equal(X_790,join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))) )],[refute_1_4302,refute_1_4303]) ).
cnf(refute_1_4305,plain,
( join(X_791,complement(X_790)) != join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))))
| join(meet(X_791,X_790),complement(join(X_791,complement(X_790)))) != X_790
| join(X_791,complement(X_790)) = join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_791,complement(X_790)),join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))))) ),[1,1,0],$fot(X_790)]]) ).
cnf(refute_1_4306,plain,
( join(X_791,complement(X_790)) != join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))))
| join(X_791,complement(X_790)) = join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)) ),
inference(resolve,[$cnf( $equal(join(meet(X_791,X_790),complement(join(X_791,complement(X_790)))),X_790) )],[refute_1_4304,refute_1_4305]) ).
cnf(refute_1_4307,plain,
join(X_791,complement(X_790)) = join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)),
inference(resolve,[$cnf( $equal(join(X_791,complement(X_790)),join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(join(meet(X_791,X_790),complement(join(X_791,complement(X_790))))))) )],[refute_1_4301,refute_1_4306]) ).
cnf(refute_1_4308,plain,
join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)) = join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(X_790))),bind(X1,$fot(meet(meet(X_791,X_790),join(X_791,complement(X_790)))))]]) ).
cnf(refute_1_4309,plain,
( join(X_791,complement(X_790)) != join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790))
| join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)) != join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))
| join(X_791,complement(X_790)) = join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_791,complement(X_790)),join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))) ),[0],$fot(join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)))]]) ).
cnf(refute_1_4310,plain,
( join(X_791,complement(X_790)) != join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790))
| join(X_791,complement(X_790)) = join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790)),join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))) )],[refute_1_4308,refute_1_4309]) ).
cnf(refute_1_4311,plain,
join(X_791,complement(X_790)) = join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),
inference(resolve,[$cnf( $equal(join(X_791,complement(X_790)),join(meet(meet(X_791,X_790),join(X_791,complement(X_790))),complement(X_790))) )],[refute_1_4307,refute_1_4310]) ).
cnf(refute_1_4312,plain,
join(complement(X_718),meet(X_676,X_718)) = join(meet(X_676,join(complement(X_718),meet(X_676,X_718))),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(join(complement(X_718),meet(X_676,X_718))))]]) ).
cnf(refute_1_4313,plain,
X_675 = join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(join(complement(X_675),join(complement(X_602),meet(X_675,X_602))))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(X_675)),bind(X1,$fot(join(complement(X_602),meet(X_675,X_602))))]]) ).
cnf(refute_1_4314,plain,
top = join(complement(X_675),join(complement(X_602),meet(X_675,X_602))),
inference(subst,[],[refute_1_66:[bind(X_601,$fot(X_675))]]) ).
cnf(refute_1_4315,plain,
( top != join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))
| join(complement(X_675),join(complement(X_602),meet(X_675,X_602))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))))]]) ).
cnf(refute_1_4316,plain,
join(complement(X_675),join(complement(X_602),meet(X_675,X_602))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))) )],[refute_1_4314,refute_1_4315]) ).
cnf(refute_1_4317,plain,
( X_675 != join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))))
| join(complement(X_675),join(complement(X_602),meet(X_675,X_602))) != top
| X_675 = join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_4318,plain,
( X_675 != join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))))
| X_675 = join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(complement(X_602),meet(X_675,X_602))),top) )],[refute_1_4316,refute_1_4317]) ).
cnf(refute_1_4319,plain,
X_675 = join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(join(complement(X_675),join(complement(X_602),meet(X_675,X_602)))))) )],[refute_1_4313,refute_1_4318]) ).
cnf(refute_1_4320,plain,
join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) = join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))))]]) ).
cnf(refute_1_4321,plain,
( complement(top) != zero
| join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) != join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))),join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_4322,plain,
( complement(top) != zero
| join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))),join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602))))) )],[refute_1_4320,refute_1_4321]) ).
cnf(refute_1_4323,plain,
join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_4322]) ).
cnf(refute_1_4324,plain,
join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) = join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_675,join(complement(X_602),meet(X_675,X_602)))))]]) ).
cnf(refute_1_4325,plain,
( join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) != join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) != join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))))),bind(Z,$fot(join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))))]]) ).
cnf(refute_1_4326,plain,
( join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) != join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)),join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602))))) )],[refute_1_4324,refute_1_4325]) ).
cnf(refute_1_4327,plain,
join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_675,join(complement(X_602),meet(X_675,X_602)))),join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))) )],[refute_1_4323,refute_1_4326]) ).
cnf(refute_1_4328,plain,
( X_675 != join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top))
| join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)) != join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| X_675 = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))) ),[0],$fot(join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)))]]) ).
cnf(refute_1_4329,plain,
( X_675 != join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top))
| X_675 = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top)),join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))) )],[refute_1_4327,refute_1_4328]) ).
cnf(refute_1_4330,plain,
X_675 = join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))),
inference(resolve,[$cnf( $equal(X_675,join(meet(X_675,join(complement(X_602),meet(X_675,X_602))),complement(top))) )],[refute_1_4319,refute_1_4329]) ).
cnf(refute_1_4331,plain,
join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) = meet(X_675,join(complement(X_602),meet(X_675,X_602))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_675,join(complement(X_602),meet(X_675,X_602)))))]]) ).
cnf(refute_1_4332,plain,
( X_675 != join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) != meet(X_675,join(complement(X_602),meet(X_675,X_602)))
| X_675 = meet(X_675,join(complement(X_602),meet(X_675,X_602))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,join(complement(X_602),meet(X_675,X_602)))) ),[0],$fot(join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))))]]) ).
cnf(refute_1_4333,plain,
( X_675 != join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))
| X_675 = meet(X_675,join(complement(X_602),meet(X_675,X_602))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602)))),meet(X_675,join(complement(X_602),meet(X_675,X_602)))) )],[refute_1_4331,refute_1_4332]) ).
cnf(refute_1_4334,plain,
X_675 = meet(X_675,join(complement(X_602),meet(X_675,X_602))),
inference(resolve,[$cnf( $equal(X_675,join(zero,meet(X_675,join(complement(X_602),meet(X_675,X_602))))) )],[refute_1_4330,refute_1_4333]) ).
cnf(refute_1_4335,plain,
X_676 = meet(X_676,join(complement(X_718),meet(X_676,X_718))),
inference(subst,[],[refute_1_4334:[bind(X_602,$fot(X_718)),bind(X_675,$fot(X_676))]]) ).
cnf(refute_1_4336,plain,
( X_676 != meet(X_676,join(complement(X_718),meet(X_676,X_718)))
| meet(X_676,join(complement(X_718),meet(X_676,X_718))) = X_676 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_676)),bind(Y,$fot(meet(X_676,join(complement(X_718),meet(X_676,X_718)))))]]) ).
cnf(refute_1_4337,plain,
meet(X_676,join(complement(X_718),meet(X_676,X_718))) = X_676,
inference(resolve,[$cnf( $equal(X_676,meet(X_676,join(complement(X_718),meet(X_676,X_718)))) )],[refute_1_4335,refute_1_4336]) ).
cnf(refute_1_4338,plain,
( join(complement(X_718),meet(X_676,X_718)) != join(meet(X_676,join(complement(X_718),meet(X_676,X_718))),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))
| meet(X_676,join(complement(X_718),meet(X_676,X_718))) != X_676
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(meet(X_676,join(complement(X_718),meet(X_676,X_718))),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))) ),[1,0],$fot(X_676)]]) ).
cnf(refute_1_4339,plain,
( join(complement(X_718),meet(X_676,X_718)) != join(meet(X_676,join(complement(X_718),meet(X_676,X_718))),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) ),
inference(resolve,[$cnf( $equal(meet(X_676,join(complement(X_718),meet(X_676,X_718))),X_676) )],[refute_1_4337,refute_1_4338]) ).
cnf(refute_1_4340,plain,
join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),
inference(resolve,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(meet(X_676,join(complement(X_718),meet(X_676,X_718))),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))) )],[refute_1_4312,refute_1_4339]) ).
cnf(refute_1_4341,plain,
meet(X0,join(complement(X_601),complement(X_602))) = complement(join(complement(X0),complement(join(complement(X_601),complement(X_602))))),
inference(subst,[],[refute_1_12:[bind(X1,$fot(join(complement(X_601),complement(X_602))))]]) ).
cnf(refute_1_4342,plain,
( complement(join(complement(X_601),complement(X_602))) != meet(X_601,X_602)
| meet(X0,join(complement(X_601),complement(X_602))) != complement(join(complement(X0),complement(join(complement(X_601),complement(X_602)))))
| meet(X0,join(complement(X_601),complement(X_602))) = complement(join(complement(X0),meet(X_601,X_602))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),complement(join(complement(X0),complement(join(complement(X_601),complement(X_602)))))) ),[1,0,1],$fot(meet(X_601,X_602))]]) ).
cnf(refute_1_4343,plain,
( meet(X0,join(complement(X_601),complement(X_602))) != complement(join(complement(X0),complement(join(complement(X_601),complement(X_602)))))
| meet(X0,join(complement(X_601),complement(X_602))) = complement(join(complement(X0),meet(X_601,X_602))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_601),complement(X_602))),meet(X_601,X_602)) )],[refute_1_57,refute_1_4342]) ).
cnf(refute_1_4344,plain,
meet(X0,join(complement(X_601),complement(X_602))) = complement(join(complement(X0),meet(X_601,X_602))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),complement(join(complement(X0),complement(join(complement(X_601),complement(X_602)))))) )],[refute_1_4341,refute_1_4343]) ).
cnf(refute_1_4345,plain,
meet(X0,join(complement(X_601),complement(X_602))) = meet(X0,join(complement(X_601),complement(X_602))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_601),complement(X_602))))]]) ).
cnf(refute_1_4346,plain,
( join(complement(X_601),complement(X_602)) != complement(meet(X_601,X_602))
| meet(X0,join(complement(X_601),complement(X_602))) != meet(X0,join(complement(X_601),complement(X_602)))
| meet(X0,join(complement(X_601),complement(X_602))) = meet(X0,complement(meet(X_601,X_602))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),meet(X0,join(complement(X_601),complement(X_602)))) ),[1,1],$fot(complement(meet(X_601,X_602)))]]) ).
cnf(refute_1_4347,plain,
( join(complement(X_601),complement(X_602)) != complement(meet(X_601,X_602))
| meet(X0,join(complement(X_601),complement(X_602))) = meet(X0,complement(meet(X_601,X_602))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),meet(X0,join(complement(X_601),complement(X_602)))) )],[refute_1_4345,refute_1_4346]) ).
cnf(refute_1_4348,plain,
meet(X0,join(complement(X_601),complement(X_602))) = meet(X0,complement(meet(X_601,X_602))),
inference(resolve,[$cnf( $equal(join(complement(X_601),complement(X_602)),complement(meet(X_601,X_602))) )],[refute_1_3230,refute_1_4347]) ).
cnf(refute_1_4349,plain,
( meet(X0,join(complement(X_601),complement(X_602))) != complement(join(complement(X0),meet(X_601,X_602)))
| meet(X0,join(complement(X_601),complement(X_602))) != meet(X0,complement(meet(X_601,X_602)))
| meet(X0,complement(meet(X_601,X_602))) = complement(join(complement(X0),meet(X_601,X_602))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),complement(join(complement(X0),meet(X_601,X_602)))) ),[0],$fot(meet(X0,complement(meet(X_601,X_602))))]]) ).
cnf(refute_1_4350,plain,
( meet(X0,join(complement(X_601),complement(X_602))) != complement(join(complement(X0),meet(X_601,X_602)))
| meet(X0,complement(meet(X_601,X_602))) = complement(join(complement(X0),meet(X_601,X_602))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),meet(X0,complement(meet(X_601,X_602)))) )],[refute_1_4348,refute_1_4349]) ).
cnf(refute_1_4351,plain,
meet(X0,complement(meet(X_601,X_602))) = complement(join(complement(X0),meet(X_601,X_602))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_601),complement(X_602))),complement(join(complement(X0),meet(X_601,X_602)))) )],[refute_1_4344,refute_1_4350]) ).
cnf(refute_1_4352,plain,
( meet(X0,complement(meet(X_601,X_602))) != complement(join(complement(X0),meet(X_601,X_602)))
| complement(join(complement(X0),meet(X_601,X_602))) = meet(X0,complement(meet(X_601,X_602))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X0,complement(meet(X_601,X_602))))),bind(Y,$fot(complement(join(complement(X0),meet(X_601,X_602)))))]]) ).
cnf(refute_1_4353,plain,
complement(join(complement(X0),meet(X_601,X_602))) = meet(X0,complement(meet(X_601,X_602))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_601,X_602))),complement(join(complement(X0),meet(X_601,X_602)))) )],[refute_1_4351,refute_1_4352]) ).
cnf(refute_1_4354,plain,
complement(join(complement(X_718),meet(X_676,X_718))) = meet(X_718,complement(meet(X_676,X_718))),
inference(subst,[],[refute_1_4353:[bind(X0,$fot(X_718)),bind(X_601,$fot(X_676)),bind(X_602,$fot(X_718))]]) ).
cnf(refute_1_4355,plain,
join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) = join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))))]]) ).
cnf(refute_1_4356,plain,
( complement(join(complement(X_718),meet(X_676,X_718))) != meet(X_718,complement(meet(X_676,X_718)))
| join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) != join(X_676,complement(join(complement(X_718),meet(X_676,X_718))))
| join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) = join(X_676,meet(X_718,complement(meet(X_676,X_718)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))),join(X_676,complement(join(complement(X_718),meet(X_676,X_718))))) ),[1,1],$fot(meet(X_718,complement(meet(X_676,X_718))))]]) ).
cnf(refute_1_4357,plain,
( complement(join(complement(X_718),meet(X_676,X_718))) != meet(X_718,complement(meet(X_676,X_718)))
| join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) = join(X_676,meet(X_718,complement(meet(X_676,X_718)))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))),join(X_676,complement(join(complement(X_718),meet(X_676,X_718))))) )],[refute_1_4355,refute_1_4356]) ).
cnf(refute_1_4358,plain,
join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) = join(X_676,meet(X_718,complement(meet(X_676,X_718)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_718),meet(X_676,X_718))),meet(X_718,complement(meet(X_676,X_718)))) )],[refute_1_4354,refute_1_4357]) ).
cnf(refute_1_4359,plain,
join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) = join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(X_676)),bind(X1,$fot(complement(join(complement(X_718),meet(X_676,X_718)))))]]) ).
cnf(refute_1_4360,plain,
( join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) != join(X_676,meet(X_718,complement(meet(X_676,X_718))))
| join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) != join(X_676,complement(join(complement(X_718),meet(X_676,X_718))))
| join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) = join(X_676,meet(X_718,complement(meet(X_676,X_718)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),bind(Y,$fot(join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))))),bind(Z,$fot(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))]]) ).
cnf(refute_1_4361,plain,
( join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))) != join(X_676,meet(X_718,complement(meet(X_676,X_718))))
| join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) = join(X_676,meet(X_718,complement(meet(X_676,X_718)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676),join(X_676,complement(join(complement(X_718),meet(X_676,X_718))))) )],[refute_1_4359,refute_1_4360]) ).
cnf(refute_1_4362,plain,
join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) = join(X_676,meet(X_718,complement(meet(X_676,X_718)))),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(X_718),meet(X_676,X_718)))),join(X_676,meet(X_718,complement(meet(X_676,X_718))))) )],[refute_1_4358,refute_1_4361]) ).
cnf(refute_1_4363,plain,
complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) = complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))]]) ).
cnf(refute_1_4364,plain,
( complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) != complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))
| join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) != join(X_676,meet(X_718,complement(meet(X_676,X_718))))
| complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) = complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) ),[1,0],$fot(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))]]) ).
cnf(refute_1_4365,plain,
( join(complement(join(complement(X_718),meet(X_676,X_718))),X_676) != join(X_676,meet(X_718,complement(meet(X_676,X_718))))
| complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) = complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)),complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) )],[refute_1_4363,refute_1_4364]) ).
cnf(refute_1_4366,plain,
complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) = complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676),join(X_676,meet(X_718,complement(meet(X_676,X_718))))) )],[refute_1_4362,refute_1_4365]) ).
cnf(refute_1_4367,plain,
join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) = join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),
introduced(tautology,[refl,[$fot(join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))))]]) ).
cnf(refute_1_4368,plain,
( complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) != complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))
| join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) != join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))
| join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) = join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))) ),[1,1],$fot(complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))]]) ).
cnf(refute_1_4369,plain,
( complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)) != complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))
| join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) = join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))) )],[refute_1_4367,refute_1_4368]) ).
cnf(refute_1_4370,plain,
join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) = join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)),complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4366,refute_1_4369]) ).
cnf(refute_1_4371,plain,
( join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))) != join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))
| join(complement(X_718),meet(X_676,X_718)) != join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))) ),[1],$fot(join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))))]]) ).
cnf(refute_1_4372,plain,
( join(complement(X_718),meet(X_676,X_718)) != join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676))),join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))) )],[refute_1_4370,refute_1_4371]) ).
cnf(refute_1_4373,plain,
join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))),
inference(resolve,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,complement(join(complement(join(complement(X_718),meet(X_676,X_718))),X_676)))) )],[refute_1_4340,refute_1_4372]) ).
cnf(refute_1_4374,plain,
join(X_983,complement(X_982)) = complement(complement(join(X_983,complement(X_982)))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(join(X_983,complement(X_982))))]]) ).
cnf(refute_1_4375,plain,
( meet(complement(X_983),X_982) != complement(join(X_983,complement(X_982)))
| complement(join(X_983,complement(X_982))) = meet(complement(X_983),X_982) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(X_983),X_982))),bind(Y,$fot(complement(join(X_983,complement(X_982)))))]]) ).
cnf(refute_1_4376,plain,
complement(join(X_983,complement(X_982))) = meet(complement(X_983),X_982),
inference(resolve,[$cnf( $equal(meet(complement(X_983),X_982),complement(join(X_983,complement(X_982)))) )],[refute_1_3291,refute_1_4375]) ).
cnf(refute_1_4377,plain,
( complement(join(X_983,complement(X_982))) != meet(complement(X_983),X_982)
| join(X_983,complement(X_982)) != complement(complement(join(X_983,complement(X_982))))
| join(X_983,complement(X_982)) = complement(meet(complement(X_983),X_982)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_983,complement(X_982)),complement(complement(join(X_983,complement(X_982))))) ),[1,0],$fot(meet(complement(X_983),X_982))]]) ).
cnf(refute_1_4378,plain,
( join(X_983,complement(X_982)) != complement(complement(join(X_983,complement(X_982))))
| join(X_983,complement(X_982)) = complement(meet(complement(X_983),X_982)) ),
inference(resolve,[$cnf( $equal(complement(join(X_983,complement(X_982))),meet(complement(X_983),X_982)) )],[refute_1_4376,refute_1_4377]) ).
cnf(refute_1_4379,plain,
join(X_983,complement(X_982)) = complement(meet(complement(X_983),X_982)),
inference(resolve,[$cnf( $equal(join(X_983,complement(X_982)),complement(complement(join(X_983,complement(X_982))))) )],[refute_1_4374,refute_1_4378]) ).
cnf(refute_1_4380,plain,
( join(X_983,complement(X_982)) != complement(meet(complement(X_983),X_982))
| complement(meet(complement(X_983),X_982)) = join(X_983,complement(X_982)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_983,complement(X_982)))),bind(Y,$fot(complement(meet(complement(X_983),X_982))))]]) ).
cnf(refute_1_4381,plain,
complement(meet(complement(X_983),X_982)) = join(X_983,complement(X_982)),
inference(resolve,[$cnf( $equal(join(X_983,complement(X_982)),complement(meet(complement(X_983),X_982))) )],[refute_1_4379,refute_1_4380]) ).
cnf(refute_1_4382,plain,
complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718))))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),
inference(subst,[],[refute_1_4381:[bind(X_982,$fot(meet(X_718,complement(meet(X_676,X_718))))),bind(X_983,$fot(X_676))]]) ).
cnf(refute_1_4383,plain,
complement(meet(X_988,X_989)) = join(meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(join(complement(X_989),X_988))),bind(X_703,$fot(complement(meet(X_988,X_989))))]]) ).
cnf(refute_1_4384,plain,
meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)) = complement(X_989),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(X_988)),bind(X_981,$fot(X_989))]]) ).
cnf(refute_1_4385,plain,
( complement(meet(X_988,X_989)) != join(meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))
| meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)) != complement(X_989)
| complement(meet(X_988,X_989)) = join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_988,X_989)),join(meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))) ),[1,0],$fot(complement(X_989))]]) ).
cnf(refute_1_4386,plain,
( complement(meet(X_988,X_989)) != join(meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))
| complement(meet(X_988,X_989)) = join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)),complement(X_989)) )],[refute_1_4384,refute_1_4385]) ).
cnf(refute_1_4387,plain,
complement(meet(X_988,X_989)) = join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),
inference(resolve,[$cnf( $equal(complement(meet(X_988,X_989)),join(meet(complement(meet(X_988,X_989)),join(complement(X_989),X_988)),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))) )],[refute_1_4383,refute_1_4386]) ).
cnf(refute_1_4388,plain,
join(complement(X_602),meet(complement(X_898),X_602)) = join(join(complement(X_602),meet(complement(X_898),X_602)),meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602)))),
inference(subst,[],[refute_1_740:[bind(X_702,$fot(X_898)),bind(X_703,$fot(join(complement(X_602),meet(complement(X_898),X_602))))]]) ).
cnf(refute_1_4389,plain,
complement(X_898) = meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))),
inference(subst,[],[refute_1_4334:[bind(X_675,$fot(complement(X_898)))]]) ).
cnf(refute_1_4390,plain,
( complement(X_898) != meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602)))
| meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))) = complement(X_898) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_898))),bind(Y,$fot(meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602)))))]]) ).
cnf(refute_1_4391,plain,
meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))) = complement(X_898),
inference(resolve,[$cnf( $equal(complement(X_898),meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602)))) )],[refute_1_4389,refute_1_4390]) ).
cnf(refute_1_4392,plain,
( join(complement(X_602),meet(complement(X_898),X_602)) != join(join(complement(X_602),meet(complement(X_898),X_602)),meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))))
| meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))) != complement(X_898)
| join(complement(X_602),meet(complement(X_898),X_602)) = join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_602),meet(complement(X_898),X_602)),join(join(complement(X_602),meet(complement(X_898),X_602)),meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))))) ),[1,1],$fot(complement(X_898))]]) ).
cnf(refute_1_4393,plain,
( join(complement(X_602),meet(complement(X_898),X_602)) != join(join(complement(X_602),meet(complement(X_898),X_602)),meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))))
| join(complement(X_602),meet(complement(X_898),X_602)) = join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))),complement(X_898)) )],[refute_1_4391,refute_1_4392]) ).
cnf(refute_1_4394,plain,
join(complement(X_602),meet(complement(X_898),X_602)) = join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_602),meet(complement(X_898),X_602)),join(join(complement(X_602),meet(complement(X_898),X_602)),meet(complement(X_898),join(complement(X_602),meet(complement(X_898),X_602))))) )],[refute_1_4388,refute_1_4393]) ).
cnf(refute_1_4395,plain,
join(complement(X_602),complement(X_898)) = complement(meet(X_602,X_898)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_602)),bind(X1,$fot(X_898))]]) ).
cnf(refute_1_4396,plain,
join(complement(X_898),meet(complement(X_898),X_602)) = complement(X_898),
inference(subst,[],[refute_1_1323:[bind(X_675,$fot(X_602)),bind(X_754,$fot(complement(X_898)))]]) ).
cnf(refute_1_4397,plain,
join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),
introduced(tautology,[refl,[$fot(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))))]]) ).
cnf(refute_1_4398,plain,
( join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) != join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))
| join(complement(X_898),meet(complement(X_898),X_602)) != complement(X_898)
| join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = join(complement(X_602),complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))) ),[1,1],$fot(complement(X_898))]]) ).
cnf(refute_1_4399,plain,
( join(complement(X_898),meet(complement(X_898),X_602)) != complement(X_898)
| join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = join(complement(X_602),complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))) )],[refute_1_4397,refute_1_4398]) ).
cnf(refute_1_4400,plain,
join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = join(complement(X_602),complement(X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_898),meet(complement(X_898),X_602)),complement(X_898)) )],[refute_1_4396,refute_1_4399]) ).
cnf(refute_1_4401,plain,
( join(complement(X_602),complement(X_898)) != complement(meet(X_602,X_898))
| join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) != join(complement(X_602),complement(X_898))
| join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = complement(meet(X_602,X_898)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))))),bind(Y,$fot(join(complement(X_602),complement(X_898)))),bind(Z,$fot(complement(meet(X_602,X_898))))]]) ).
cnf(refute_1_4402,plain,
( join(complement(X_602),complement(X_898)) != complement(meet(X_602,X_898))
| join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = complement(meet(X_602,X_898)) ),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),join(complement(X_602),complement(X_898))) )],[refute_1_4400,refute_1_4401]) ).
cnf(refute_1_4403,plain,
join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) = complement(meet(X_602,X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_602),complement(X_898)),complement(meet(X_602,X_898))) )],[refute_1_4395,refute_1_4402]) ).
cnf(refute_1_4404,plain,
join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898))) = join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(complement(X_602))),bind(X1,$fot(meet(complement(X_898),X_602))),bind(X_737,$fot(complement(X_898)))]]) ).
cnf(refute_1_4405,plain,
join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(X_602))),bind(X1,$fot(meet(complement(X_898),X_602))),bind(X2,$fot(complement(X_898)))]]) ).
cnf(refute_1_4406,plain,
( join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898))) != join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) != join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898)))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)))),bind(Y,$fot(join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898))))),bind(Z,$fot(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))))]]) ).
cnf(refute_1_4407,plain,
( join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898))) != join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)),join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898)))) )],[refute_1_4405,refute_1_4406]) ).
cnf(refute_1_4408,plain,
join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(meet(complement(X_898),X_602),complement(X_898))),join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))) )],[refute_1_4404,refute_1_4407]) ).
cnf(refute_1_4409,plain,
( join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) != complement(meet(X_602,X_898))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) != join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = complement(meet(X_602,X_898)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)))),bind(Y,$fot(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))))),bind(Z,$fot(complement(meet(X_602,X_898))))]]) ).
cnf(refute_1_4410,plain,
( join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))) != complement(meet(X_602,X_898))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = complement(meet(X_602,X_898)) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)),join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602)))) )],[refute_1_4408,refute_1_4409]) ).
cnf(refute_1_4411,plain,
join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) = complement(meet(X_602,X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_602),join(complement(X_898),meet(complement(X_898),X_602))),complement(meet(X_602,X_898))) )],[refute_1_4403,refute_1_4410]) ).
cnf(refute_1_4412,plain,
( join(complement(X_602),meet(complement(X_898),X_602)) != join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898))
| join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)) != complement(meet(X_602,X_898))
| join(complement(X_602),meet(complement(X_898),X_602)) = complement(meet(X_602,X_898)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_602),meet(complement(X_898),X_602)),complement(meet(X_602,X_898))) ),[0],$fot(join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)))]]) ).
cnf(refute_1_4413,plain,
( join(complement(X_602),meet(complement(X_898),X_602)) != join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898))
| join(complement(X_602),meet(complement(X_898),X_602)) = complement(meet(X_602,X_898)) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898)),complement(meet(X_602,X_898))) )],[refute_1_4411,refute_1_4412]) ).
cnf(refute_1_4414,plain,
join(complement(X_602),meet(complement(X_898),X_602)) = complement(meet(X_602,X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_602),meet(complement(X_898),X_602)),join(join(complement(X_602),meet(complement(X_898),X_602)),complement(X_898))) )],[refute_1_4394,refute_1_4413]) ).
cnf(refute_1_4415,plain,
join(complement(X_989),meet(complement(X_988),X_989)) = complement(meet(X_989,X_988)),
inference(subst,[],[refute_1_4414:[bind(X_602,$fot(X_989)),bind(X_898,$fot(X_988))]]) ).
cnf(refute_1_4416,plain,
complement(join(complement(X_989),X_988)) = meet(complement(X_988),X_989),
inference(subst,[],[refute_1_3299:[bind(X_982,$fot(X_989)),bind(X_983,$fot(X_988))]]) ).
cnf(refute_1_4417,plain,
join(X_988,meet(X_988,X_989)) = X_988,
inference(subst,[],[refute_1_1323:[bind(X_675,$fot(X_989)),bind(X_754,$fot(X_988))]]) ).
cnf(refute_1_4418,plain,
join(complement(X_989),join(X_988,meet(X_988,X_989))) = join(complement(X_989),join(X_988,meet(X_988,X_989))),
introduced(tautology,[refl,[$fot(join(complement(X_989),join(X_988,meet(X_988,X_989))))]]) ).
cnf(refute_1_4419,plain,
( join(X_988,meet(X_988,X_989)) != X_988
| join(complement(X_989),join(X_988,meet(X_988,X_989))) != join(complement(X_989),join(X_988,meet(X_988,X_989)))
| join(complement(X_989),join(X_988,meet(X_988,X_989))) = join(complement(X_989),X_988) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_989),join(X_988,meet(X_988,X_989))),join(complement(X_989),join(X_988,meet(X_988,X_989)))) ),[1,1],$fot(X_988)]]) ).
cnf(refute_1_4420,plain,
( join(X_988,meet(X_988,X_989)) != X_988
| join(complement(X_989),join(X_988,meet(X_988,X_989))) = join(complement(X_989),X_988) ),
inference(resolve,[$cnf( $equal(join(complement(X_989),join(X_988,meet(X_988,X_989))),join(complement(X_989),join(X_988,meet(X_988,X_989)))) )],[refute_1_4418,refute_1_4419]) ).
cnf(refute_1_4421,plain,
join(complement(X_989),join(X_988,meet(X_988,X_989))) = join(complement(X_989),X_988),
inference(resolve,[$cnf( $equal(join(X_988,meet(X_988,X_989)),X_988) )],[refute_1_4417,refute_1_4420]) ).
cnf(refute_1_4422,plain,
join(complement(X_989),join(meet(X_988,X_989),X_988)) = join(complement(X_989),join(X_988,meet(X_988,X_989))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(complement(X_989))),bind(X1,$fot(meet(X_988,X_989))),bind(X_737,$fot(X_988))]]) ).
cnf(refute_1_4423,plain,
join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),join(meet(X_988,X_989),X_988)),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(complement(X_989))),bind(X_728,$fot(meet(X_988,X_989))),bind(X_729,$fot(X_988))]]) ).
cnf(refute_1_4424,plain,
( join(complement(X_989),join(meet(X_988,X_989),X_988)) != join(complement(X_989),join(X_988,meet(X_988,X_989)))
| join(meet(X_988,X_989),join(complement(X_989),X_988)) != join(complement(X_989),join(meet(X_988,X_989),X_988))
| join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),join(X_988,meet(X_988,X_989))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_988,X_989),join(complement(X_989),X_988)))),bind(Y,$fot(join(complement(X_989),join(meet(X_988,X_989),X_988)))),bind(Z,$fot(join(complement(X_989),join(X_988,meet(X_988,X_989)))))]]) ).
cnf(refute_1_4425,plain,
( join(complement(X_989),join(meet(X_988,X_989),X_988)) != join(complement(X_989),join(X_988,meet(X_988,X_989)))
| join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),join(X_988,meet(X_988,X_989))) ),
inference(resolve,[$cnf( $equal(join(meet(X_988,X_989),join(complement(X_989),X_988)),join(complement(X_989),join(meet(X_988,X_989),X_988))) )],[refute_1_4423,refute_1_4424]) ).
cnf(refute_1_4426,plain,
join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),join(X_988,meet(X_988,X_989))),
inference(resolve,[$cnf( $equal(join(complement(X_989),join(meet(X_988,X_989),X_988)),join(complement(X_989),join(X_988,meet(X_988,X_989)))) )],[refute_1_4422,refute_1_4425]) ).
cnf(refute_1_4427,plain,
( join(complement(X_989),join(X_988,meet(X_988,X_989))) != join(complement(X_989),X_988)
| join(meet(X_988,X_989),join(complement(X_989),X_988)) != join(complement(X_989),join(X_988,meet(X_988,X_989)))
| join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),X_988) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_988,X_989),join(complement(X_989),X_988)))),bind(Y,$fot(join(complement(X_989),join(X_988,meet(X_988,X_989))))),bind(Z,$fot(join(complement(X_989),X_988)))]]) ).
cnf(refute_1_4428,plain,
( join(complement(X_989),join(X_988,meet(X_988,X_989))) != join(complement(X_989),X_988)
| join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),X_988) ),
inference(resolve,[$cnf( $equal(join(meet(X_988,X_989),join(complement(X_989),X_988)),join(complement(X_989),join(X_988,meet(X_988,X_989)))) )],[refute_1_4426,refute_1_4427]) ).
cnf(refute_1_4429,plain,
join(meet(X_988,X_989),join(complement(X_989),X_988)) = join(complement(X_989),X_988),
inference(resolve,[$cnf( $equal(join(complement(X_989),join(X_988,meet(X_988,X_989))),join(complement(X_989),X_988)) )],[refute_1_4421,refute_1_4428]) ).
cnf(refute_1_4430,plain,
complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))))]]) ).
cnf(refute_1_4431,plain,
( complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) != complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))
| join(meet(X_988,X_989),join(complement(X_989),X_988)) != join(complement(X_989),X_988)
| complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = complement(join(complement(X_989),X_988)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))) ),[1,0],$fot(join(complement(X_989),X_988))]]) ).
cnf(refute_1_4432,plain,
( join(meet(X_988,X_989),join(complement(X_989),X_988)) != join(complement(X_989),X_988)
| complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = complement(join(complement(X_989),X_988)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))) )],[refute_1_4430,refute_1_4431]) ).
cnf(refute_1_4433,plain,
complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = complement(join(complement(X_989),X_988)),
inference(resolve,[$cnf( $equal(join(meet(X_988,X_989),join(complement(X_989),X_988)),join(complement(X_989),X_988)) )],[refute_1_4429,refute_1_4432]) ).
cnf(refute_1_4434,plain,
( complement(join(complement(X_989),X_988)) != meet(complement(X_988),X_989)
| complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) != complement(join(complement(X_989),X_988))
| complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = meet(complement(X_988),X_989) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))))),bind(Y,$fot(complement(join(complement(X_989),X_988)))),bind(Z,$fot(meet(complement(X_988),X_989)))]]) ).
cnf(refute_1_4435,plain,
( complement(join(complement(X_989),X_988)) != meet(complement(X_988),X_989)
| complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = meet(complement(X_988),X_989) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),complement(join(complement(X_989),X_988))) )],[refute_1_4433,refute_1_4434]) ).
cnf(refute_1_4436,plain,
complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) = meet(complement(X_988),X_989),
inference(resolve,[$cnf( $equal(complement(join(complement(X_989),X_988)),meet(complement(X_988),X_989)) )],[refute_1_4416,refute_1_4435]) ).
cnf(refute_1_4437,plain,
converse(complement(converse(join(X_593,X_594)))) = join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))),
inference(subst,[],[refute_1_1483:[bind(X_723,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_4438,plain,
( converse(complement(converse(join(X_593,X_594)))) != join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))
| converse(join(X_593,X_594)) != converse(join(X_594,X_593))
| converse(complement(converse(join(X_594,X_593)))) = join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_593,X_594)))),join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))) ),[0,0,0],$fot(converse(join(X_594,X_593)))]]) ).
cnf(refute_1_4439,plain,
( converse(complement(converse(join(X_593,X_594)))) != join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))
| converse(complement(converse(join(X_594,X_593)))) = join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_593,X_594)),converse(join(X_594,X_593))) )],[refute_1_1053,refute_1_4438]) ).
cnf(refute_1_4440,plain,
converse(complement(converse(join(X_594,X_593)))) = join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_593,X_594)))),join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))) )],[refute_1_4437,refute_1_4439]) ).
cnf(refute_1_4441,plain,
( converse(complement(converse(X_723))) != join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))
| join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) = converse(complement(converse(X_723))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(X_723))))),bind(Y,$fot(join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))))]]) ).
cnf(refute_1_4442,plain,
join(complement(X_723),meet(X_723,converse(complement(converse(X_723))))) = converse(complement(converse(X_723))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_723))),join(complement(X_723),meet(X_723,converse(complement(converse(X_723)))))) )],[refute_1_1483,refute_1_4441]) ).
cnf(refute_1_4443,plain,
join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))) = converse(complement(converse(join(X_593,X_594)))),
inference(subst,[],[refute_1_4442:[bind(X_723,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_4444,plain,
( converse(complement(converse(join(X_594,X_593)))) != join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))
| join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))) != converse(complement(converse(join(X_593,X_594))))
| converse(complement(converse(join(X_594,X_593)))) = converse(complement(converse(join(X_593,X_594)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(join(X_594,X_593)))),converse(complement(converse(join(X_593,X_594))))) ),[0],$fot(join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))))]]) ).
cnf(refute_1_4445,plain,
( converse(complement(converse(join(X_594,X_593)))) != join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))
| converse(complement(converse(join(X_594,X_593)))) = converse(complement(converse(join(X_593,X_594)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594)))))),converse(complement(converse(join(X_593,X_594))))) )],[refute_1_4443,refute_1_4444]) ).
cnf(refute_1_4446,plain,
converse(complement(converse(join(X_594,X_593)))) = converse(complement(converse(join(X_593,X_594)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_594,X_593)))),join(complement(join(X_593,X_594)),meet(join(X_593,X_594),converse(complement(converse(join(X_593,X_594))))))) )],[refute_1_4440,refute_1_4445]) ).
cnf(refute_1_4447,plain,
converse(complement(converse(complement(complement(X_675))))) = complement(X_675),
inference(subst,[],[refute_1_1008:[bind(X_711,$fot(complement(X_675)))]]) ).
cnf(refute_1_4448,plain,
( complement(complement(X_675)) != X_675
| converse(complement(converse(complement(complement(X_675))))) != complement(X_675)
| converse(complement(converse(X_675))) = complement(X_675) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_675))))),complement(X_675)) ),[0,0,0,0],$fot(X_675)]]) ).
cnf(refute_1_4449,plain,
( converse(complement(converse(complement(complement(X_675))))) != complement(X_675)
| converse(complement(converse(X_675))) = complement(X_675) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_4448]) ).
cnf(refute_1_4450,plain,
converse(complement(converse(X_675))) = complement(X_675),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_675))))),complement(X_675)) )],[refute_1_4447,refute_1_4449]) ).
cnf(refute_1_4451,plain,
converse(complement(converse(join(X_594,X_593)))) = complement(join(X_594,X_593)),
inference(subst,[],[refute_1_4450:[bind(X_675,$fot(join(X_594,X_593)))]]) ).
cnf(refute_1_4452,plain,
( converse(complement(converse(join(X_594,X_593)))) != complement(join(X_594,X_593))
| converse(complement(converse(join(X_594,X_593)))) != converse(complement(converse(join(X_593,X_594))))
| complement(join(X_594,X_593)) = converse(complement(converse(join(X_593,X_594)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_594,X_593)))),converse(complement(converse(join(X_593,X_594))))) ),[0],$fot(complement(join(X_594,X_593)))]]) ).
cnf(refute_1_4453,plain,
( converse(complement(converse(join(X_594,X_593)))) != converse(complement(converse(join(X_593,X_594))))
| complement(join(X_594,X_593)) = converse(complement(converse(join(X_593,X_594)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_594,X_593)))),complement(join(X_594,X_593))) )],[refute_1_4451,refute_1_4452]) ).
cnf(refute_1_4454,plain,
converse(complement(converse(join(X_593,X_594)))) = complement(join(X_593,X_594)),
inference(subst,[],[refute_1_4450:[bind(X_675,$fot(join(X_593,X_594)))]]) ).
cnf(refute_1_4455,plain,
( complement(join(X_594,X_593)) != converse(complement(converse(join(X_593,X_594))))
| converse(complement(converse(join(X_593,X_594)))) != complement(join(X_593,X_594))
| complement(join(X_594,X_593)) = complement(join(X_593,X_594)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_594,X_593)),complement(join(X_593,X_594))) ),[0],$fot(converse(complement(converse(join(X_593,X_594)))))]]) ).
cnf(refute_1_4456,plain,
( complement(join(X_594,X_593)) != converse(complement(converse(join(X_593,X_594))))
| complement(join(X_594,X_593)) = complement(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_593,X_594)))),complement(join(X_593,X_594))) )],[refute_1_4454,refute_1_4455]) ).
cnf(refute_1_4457,plain,
( converse(complement(converse(join(X_594,X_593)))) != converse(complement(converse(join(X_593,X_594))))
| complement(join(X_594,X_593)) = complement(join(X_593,X_594)) ),
inference(resolve,[$cnf( $equal(complement(join(X_594,X_593)),converse(complement(converse(join(X_593,X_594))))) )],[refute_1_4453,refute_1_4456]) ).
cnf(refute_1_4458,plain,
complement(join(X_594,X_593)) = complement(join(X_593,X_594)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_594,X_593)))),converse(complement(converse(join(X_593,X_594))))) )],[refute_1_4446,refute_1_4457]) ).
cnf(refute_1_4459,plain,
( complement(join(X_594,X_593)) != complement(join(X_593,X_594))
| complement(join(X_593,X_594)) = complement(join(X_594,X_593)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(join(X_594,X_593)))),bind(Y,$fot(complement(join(X_593,X_594))))]]) ).
cnf(refute_1_4460,plain,
complement(join(X_593,X_594)) = complement(join(X_594,X_593)),
inference(resolve,[$cnf( $equal(complement(join(X_594,X_593)),complement(join(X_593,X_594))) )],[refute_1_4458,refute_1_4459]) ).
cnf(refute_1_4461,plain,
complement(join(join(complement(X_989),X_988),meet(X_988,X_989))) = complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),
inference(subst,[],[refute_1_4460:[bind(X_593,$fot(join(complement(X_989),X_988))),bind(X_594,$fot(meet(X_988,X_989)))]]) ).
cnf(refute_1_4462,plain,
meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = complement(join(join(complement(X_989),X_988),meet(X_988,X_989))),
inference(subst,[],[refute_1_4269:[bind(X_675,$fot(meet(X_988,X_989))),bind(X_983,$fot(join(complement(X_989),X_988)))]]) ).
cnf(refute_1_4463,plain,
( complement(join(join(complement(X_989),X_988),meet(X_988,X_989))) != complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) != complement(join(join(complement(X_989),X_988),meet(X_988,X_989)))
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))),bind(Y,$fot(complement(join(join(complement(X_989),X_988),meet(X_988,X_989))))),bind(Z,$fot(complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))))]]) ).
cnf(refute_1_4464,plain,
( complement(join(join(complement(X_989),X_988),meet(X_988,X_989))) != complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))),complement(join(join(complement(X_989),X_988),meet(X_988,X_989)))) )],[refute_1_4462,refute_1_4463]) ).
cnf(refute_1_4465,plain,
meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_989),X_988),meet(X_988,X_989))),complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))) )],[refute_1_4461,refute_1_4464]) ).
cnf(refute_1_4466,plain,
( complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) != meet(complement(X_988),X_989)
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) != complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = meet(complement(X_988),X_989) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))),bind(Y,$fot(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))))),bind(Z,$fot(meet(complement(X_988),X_989)))]]) ).
cnf(refute_1_4467,plain,
( complement(join(meet(X_988,X_989),join(complement(X_989),X_988))) != meet(complement(X_988),X_989)
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = meet(complement(X_988),X_989) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))),complement(join(meet(X_988,X_989),join(complement(X_989),X_988)))) )],[refute_1_4465,refute_1_4466]) ).
cnf(refute_1_4468,plain,
meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) = meet(complement(X_988),X_989),
inference(resolve,[$cnf( $equal(complement(join(meet(X_988,X_989),join(complement(X_989),X_988))),meet(complement(X_988),X_989)) )],[refute_1_4436,refute_1_4467]) ).
cnf(refute_1_4469,plain,
join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),
introduced(tautology,[refl,[$fot(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))))]]) ).
cnf(refute_1_4470,plain,
( join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) != join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))
| meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) != meet(complement(X_988),X_989)
| join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = join(complement(X_989),meet(complement(X_988),X_989)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))) ),[1,1],$fot(meet(complement(X_988),X_989))]]) ).
cnf(refute_1_4471,plain,
( meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))) != meet(complement(X_988),X_989)
| join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = join(complement(X_989),meet(complement(X_988),X_989)) ),
inference(resolve,[$cnf( $equal(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))) )],[refute_1_4469,refute_1_4470]) ).
cnf(refute_1_4472,plain,
join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = join(complement(X_989),meet(complement(X_988),X_989)),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))),meet(complement(X_988),X_989)) )],[refute_1_4468,refute_1_4471]) ).
cnf(refute_1_4473,plain,
( join(complement(X_989),meet(complement(X_988),X_989)) != complement(meet(X_989,X_988))
| join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) != join(complement(X_989),meet(complement(X_988),X_989))
| join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = complement(meet(X_989,X_988)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))))),bind(Y,$fot(join(complement(X_989),meet(complement(X_988),X_989)))),bind(Z,$fot(complement(meet(X_989,X_988))))]]) ).
cnf(refute_1_4474,plain,
( join(complement(X_989),meet(complement(X_988),X_989)) != complement(meet(X_989,X_988))
| join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = complement(meet(X_989,X_988)) ),
inference(resolve,[$cnf( $equal(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),join(complement(X_989),meet(complement(X_988),X_989))) )],[refute_1_4472,refute_1_4473]) ).
cnf(refute_1_4475,plain,
join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) = complement(meet(X_989,X_988)),
inference(resolve,[$cnf( $equal(join(complement(X_989),meet(complement(X_988),X_989)),complement(meet(X_989,X_988))) )],[refute_1_4415,refute_1_4474]) ).
cnf(refute_1_4476,plain,
( complement(meet(X_988,X_989)) != join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))
| join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))) != complement(meet(X_989,X_988))
| complement(meet(X_988,X_989)) = complement(meet(X_989,X_988)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_988,X_989)),complement(meet(X_989,X_988))) ),[0],$fot(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))))]]) ).
cnf(refute_1_4477,plain,
( complement(meet(X_988,X_989)) != join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))
| complement(meet(X_988,X_989)) = complement(meet(X_989,X_988)) ),
inference(resolve,[$cnf( $equal(join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989)))),complement(meet(X_989,X_988))) )],[refute_1_4475,refute_1_4476]) ).
cnf(refute_1_4478,plain,
complement(meet(X_988,X_989)) = complement(meet(X_989,X_988)),
inference(resolve,[$cnf( $equal(complement(meet(X_988,X_989)),join(complement(X_989),meet(complement(join(complement(X_989),X_988)),complement(meet(X_988,X_989))))) )],[refute_1_4387,refute_1_4477]) ).
cnf(refute_1_4479,plain,
( complement(meet(X_988,X_989)) != complement(meet(X_989,X_988))
| complement(meet(X_989,X_988)) = complement(meet(X_988,X_989)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(meet(X_988,X_989)))),bind(Y,$fot(complement(meet(X_989,X_988))))]]) ).
cnf(refute_1_4480,plain,
complement(meet(X_989,X_988)) = complement(meet(X_988,X_989)),
inference(resolve,[$cnf( $equal(complement(meet(X_988,X_989)),complement(meet(X_989,X_988))) )],[refute_1_4478,refute_1_4479]) ).
cnf(refute_1_4481,plain,
complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) = complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718))))),
inference(subst,[],[refute_1_4480:[bind(X_988,$fot(complement(X_676))),bind(X_989,$fot(meet(X_718,complement(meet(X_676,X_718)))))]]) ).
cnf(refute_1_4482,plain,
( complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718))))) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) != complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718)))))
| complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))))),bind(Y,$fot(complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718))))))),bind(Z,$fot(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))))]]) ).
cnf(refute_1_4483,plain,
( complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718))))) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))),complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4481,refute_1_4482]) ).
cnf(refute_1_4484,plain,
complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_676),meet(X_718,complement(meet(X_676,X_718))))),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4382,refute_1_4483]) ).
cnf(refute_1_4485,plain,
complement(meet(X_713,complement(X_675))) = join(complement(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),
inference(subst,[],[refute_1_1113:[bind(X_675,$fot(meet(X_713,complement(X_675)))),bind(X_791,$fot(complement(join(X_675,X_713))))]]) ).
cnf(refute_1_4486,plain,
( complement(X_675) != join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))
| join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))) = complement(X_675) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_675))),bind(Y,$fot(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))))]]) ).
cnf(refute_1_4487,plain,
join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))) = complement(X_675),
inference(resolve,[$cnf( $equal(complement(X_675),join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))) )],[refute_1_1214,refute_1_4486]) ).
cnf(refute_1_4488,plain,
( complement(meet(X_713,complement(X_675))) != join(complement(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))) != complement(X_675)
| complement(meet(X_713,complement(X_675))) = join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(complement(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) ),[1,0,0],$fot(complement(X_675))]]) ).
cnf(refute_1_4489,plain,
( complement(meet(X_713,complement(X_675))) != join(complement(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| complement(meet(X_713,complement(X_675))) = join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675))),complement(X_675)) )],[refute_1_4487,refute_1_4488]) ).
cnf(refute_1_4490,plain,
complement(meet(X_713,complement(X_675))) = join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),
inference(resolve,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(complement(join(complement(join(X_675,X_713)),meet(X_713,complement(X_675)))),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) )],[refute_1_4485,refute_1_4489]) ).
cnf(refute_1_4491,plain,
join(X_713,meet(X_713,complement(X_675))) = X_713,
inference(subst,[],[refute_1_1323:[bind(X_675,$fot(complement(X_675))),bind(X_754,$fot(X_713))]]) ).
cnf(refute_1_4492,plain,
join(X_675,join(X_713,meet(X_713,complement(X_675)))) = join(X_675,join(X_713,meet(X_713,complement(X_675)))),
introduced(tautology,[refl,[$fot(join(X_675,join(X_713,meet(X_713,complement(X_675)))))]]) ).
cnf(refute_1_4493,plain,
( join(X_675,join(X_713,meet(X_713,complement(X_675)))) != join(X_675,join(X_713,meet(X_713,complement(X_675))))
| join(X_713,meet(X_713,complement(X_675))) != X_713
| join(X_675,join(X_713,meet(X_713,complement(X_675)))) = join(X_675,X_713) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_675,join(X_713,meet(X_713,complement(X_675)))),join(X_675,join(X_713,meet(X_713,complement(X_675))))) ),[1,1],$fot(X_713)]]) ).
cnf(refute_1_4494,plain,
( join(X_713,meet(X_713,complement(X_675))) != X_713
| join(X_675,join(X_713,meet(X_713,complement(X_675)))) = join(X_675,X_713) ),
inference(resolve,[$cnf( $equal(join(X_675,join(X_713,meet(X_713,complement(X_675)))),join(X_675,join(X_713,meet(X_713,complement(X_675))))) )],[refute_1_4492,refute_1_4493]) ).
cnf(refute_1_4495,plain,
join(X_675,join(X_713,meet(X_713,complement(X_675)))) = join(X_675,X_713),
inference(resolve,[$cnf( $equal(join(X_713,meet(X_713,complement(X_675))),X_713) )],[refute_1_4491,refute_1_4494]) ).
cnf(refute_1_4496,plain,
join(join(X_675,X_713),meet(X_713,complement(X_675))) = join(X_675,join(X_713,meet(X_713,complement(X_675)))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_675)),bind(X1,$fot(X_713)),bind(X2,$fot(meet(X_713,complement(X_675))))]]) ).
cnf(refute_1_4497,plain,
( join(X_675,join(X_713,meet(X_713,complement(X_675)))) != join(X_675,X_713)
| join(join(X_675,X_713),meet(X_713,complement(X_675))) != join(X_675,join(X_713,meet(X_713,complement(X_675))))
| join(join(X_675,X_713),meet(X_713,complement(X_675))) = join(X_675,X_713) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_675,X_713),meet(X_713,complement(X_675))))),bind(Y,$fot(join(X_675,join(X_713,meet(X_713,complement(X_675)))))),bind(Z,$fot(join(X_675,X_713)))]]) ).
cnf(refute_1_4498,plain,
( join(X_675,join(X_713,meet(X_713,complement(X_675)))) != join(X_675,X_713)
| join(join(X_675,X_713),meet(X_713,complement(X_675))) = join(X_675,X_713) ),
inference(resolve,[$cnf( $equal(join(join(X_675,X_713),meet(X_713,complement(X_675))),join(X_675,join(X_713,meet(X_713,complement(X_675))))) )],[refute_1_4496,refute_1_4497]) ).
cnf(refute_1_4499,plain,
join(join(X_675,X_713),meet(X_713,complement(X_675))) = join(X_675,X_713),
inference(resolve,[$cnf( $equal(join(X_675,join(X_713,meet(X_713,complement(X_675)))),join(X_675,X_713)) )],[refute_1_4495,refute_1_4498]) ).
cnf(refute_1_4500,plain,
complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) = complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))),
introduced(tautology,[refl,[$fot(complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))))]]) ).
cnf(refute_1_4501,plain,
( complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) != complement(join(join(X_675,X_713),meet(X_713,complement(X_675))))
| join(join(X_675,X_713),meet(X_713,complement(X_675))) != join(X_675,X_713)
| complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) = complement(join(X_675,X_713)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))),complement(join(join(X_675,X_713),meet(X_713,complement(X_675))))) ),[1,0],$fot(join(X_675,X_713))]]) ).
cnf(refute_1_4502,plain,
( join(join(X_675,X_713),meet(X_713,complement(X_675))) != join(X_675,X_713)
| complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) = complement(join(X_675,X_713)) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))),complement(join(join(X_675,X_713),meet(X_713,complement(X_675))))) )],[refute_1_4500,refute_1_4501]) ).
cnf(refute_1_4503,plain,
complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) = complement(join(X_675,X_713)),
inference(resolve,[$cnf( $equal(join(join(X_675,X_713),meet(X_713,complement(X_675))),join(X_675,X_713)) )],[refute_1_4499,refute_1_4502]) ).
cnf(refute_1_4504,plain,
meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) = complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))),
inference(subst,[],[refute_1_4269:[bind(X_675,$fot(meet(X_713,complement(X_675)))),bind(X_983,$fot(join(X_675,X_713)))]]) ).
cnf(refute_1_4505,plain,
( complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) != complement(join(X_675,X_713))
| meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) != complement(join(join(X_675,X_713),meet(X_713,complement(X_675))))
| meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) = complement(join(X_675,X_713)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))),bind(Y,$fot(complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))))),bind(Z,$fot(complement(join(X_675,X_713))))]]) ).
cnf(refute_1_4506,plain,
( complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))) != complement(join(X_675,X_713))
| meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) = complement(join(X_675,X_713)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))),complement(join(join(X_675,X_713),meet(X_713,complement(X_675))))) )],[refute_1_4504,refute_1_4505]) ).
cnf(refute_1_4507,plain,
meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) = complement(join(X_675,X_713)),
inference(resolve,[$cnf( $equal(complement(join(join(X_675,X_713),meet(X_713,complement(X_675)))),complement(join(X_675,X_713))) )],[refute_1_4503,refute_1_4506]) ).
cnf(refute_1_4508,plain,
join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),
introduced(tautology,[refl,[$fot(join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))))]]) ).
cnf(refute_1_4509,plain,
( join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) != join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) != complement(join(X_675,X_713))
| join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,complement(join(X_675,X_713))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) ),[1,1],$fot(complement(join(X_675,X_713)))]]) ).
cnf(refute_1_4510,plain,
( meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))) != complement(join(X_675,X_713))
| join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,complement(join(X_675,X_713))) ),
inference(resolve,[$cnf( $equal(join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) )],[refute_1_4508,refute_1_4509]) ).
cnf(refute_1_4511,plain,
join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,complement(join(X_675,X_713))),
inference(resolve,[$cnf( $equal(meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))),complement(join(X_675,X_713))) )],[refute_1_4507,refute_1_4510]) ).
cnf(refute_1_4512,plain,
join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))))]]) ).
cnf(refute_1_4513,plain,
( complement(complement(X_675)) != X_675
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) != join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) ),[1,0],$fot(X_675)]]) ).
cnf(refute_1_4514,plain,
( complement(complement(X_675)) != X_675
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) )],[refute_1_4512,refute_1_4513]) ).
cnf(refute_1_4515,plain,
join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_4514]) ).
cnf(refute_1_4516,plain,
( join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) != join(X_675,complement(join(X_675,X_713)))
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) != join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,complement(join(X_675,X_713))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))))),bind(Y,$fot(join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))))),bind(Z,$fot(join(X_675,complement(join(X_675,X_713)))))]]) ).
cnf(refute_1_4517,plain,
( join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) != join(X_675,complement(join(X_675,X_713)))
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,complement(join(X_675,X_713))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) )],[refute_1_4515,refute_1_4516]) ).
cnf(refute_1_4518,plain,
join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) = join(X_675,complement(join(X_675,X_713))),
inference(resolve,[$cnf( $equal(join(X_675,meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(X_675,complement(join(X_675,X_713)))) )],[refute_1_4511,refute_1_4517]) ).
cnf(refute_1_4519,plain,
( complement(meet(X_713,complement(X_675))) != join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))) != join(X_675,complement(join(X_675,X_713)))
| complement(meet(X_713,complement(X_675))) = join(X_675,complement(join(X_675,X_713))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_713,complement(X_675))),join(X_675,complement(join(X_675,X_713)))) ),[0],$fot(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))))]]) ).
cnf(refute_1_4520,plain,
( complement(meet(X_713,complement(X_675))) != join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))
| complement(meet(X_713,complement(X_675))) = join(X_675,complement(join(X_675,X_713))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675))))),join(X_675,complement(join(X_675,X_713)))) )],[refute_1_4518,refute_1_4519]) ).
cnf(refute_1_4521,plain,
complement(meet(X_713,complement(X_675))) = join(X_675,complement(join(X_675,X_713))),
inference(resolve,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(complement(complement(X_675)),meet(complement(join(X_675,X_713)),complement(meet(X_713,complement(X_675)))))) )],[refute_1_4490,refute_1_4520]) ).
cnf(refute_1_4522,plain,
( complement(meet(X_713,complement(X_675))) != join(X_675,complement(join(X_675,X_713)))
| join(X_675,complement(join(X_675,X_713))) = complement(meet(X_713,complement(X_675))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(meet(X_713,complement(X_675))))),bind(Y,$fot(join(X_675,complement(join(X_675,X_713)))))]]) ).
cnf(refute_1_4523,plain,
join(X_675,complement(join(X_675,X_713))) = complement(meet(X_713,complement(X_675))),
inference(resolve,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(X_675,complement(join(X_675,X_713)))) )],[refute_1_4521,refute_1_4522]) ).
cnf(refute_1_4524,plain,
join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) = complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))),
inference(subst,[],[refute_1_4523:[bind(X_675,$fot(X_676)),bind(X_713,$fot(meet(X_718,complement(meet(X_676,X_718)))))]]) ).
cnf(refute_1_4525,plain,
( complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) != complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676)))
| join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))))),bind(Y,$fot(complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))))),bind(Z,$fot(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))))]]) ).
cnf(refute_1_4526,plain,
( complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))),complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676)))) )],[refute_1_4524,refute_1_4525]) ).
cnf(refute_1_4527,plain,
join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_718,complement(meet(X_676,X_718))),complement(X_676))),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4484,refute_1_4526]) ).
cnf(refute_1_4528,plain,
( join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| join(complement(X_718),meet(X_676,X_718)) != join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))) ),[1],$fot(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))))]]) ).
cnf(refute_1_4529,plain,
( join(complement(X_718),meet(X_676,X_718)) != join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718)))))),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4527,refute_1_4528]) ).
cnf(refute_1_4530,plain,
join(complement(X_718),meet(X_676,X_718)) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),
inference(resolve,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,complement(join(X_676,meet(X_718,complement(meet(X_676,X_718))))))) )],[refute_1_4373,refute_1_4529]) ).
cnf(refute_1_4531,plain,
complement(meet(X_718,complement(meet(X_676,X_718)))) = join(complement(X_718),meet(X_676,X_718)),
inference(subst,[],[refute_1_1177:[bind(X_1010,$fot(X_718)),bind(X_675,$fot(meet(X_676,X_718)))]]) ).
cnf(refute_1_4532,plain,
join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) = join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),
introduced(tautology,[refl,[$fot(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))))]]) ).
cnf(refute_1_4533,plain,
( complement(meet(X_718,complement(meet(X_676,X_718)))) != join(complement(X_718),meet(X_676,X_718))
| join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) = join(X_676,join(complement(X_718),meet(X_676,X_718))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) ),[1,1],$fot(join(complement(X_718),meet(X_676,X_718)))]]) ).
cnf(refute_1_4534,plain,
( complement(meet(X_718,complement(meet(X_676,X_718)))) != join(complement(X_718),meet(X_676,X_718))
| join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) = join(X_676,join(complement(X_718),meet(X_676,X_718))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4532,refute_1_4533]) ).
cnf(refute_1_4535,plain,
join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) = join(X_676,join(complement(X_718),meet(X_676,X_718))),
inference(resolve,[$cnf( $equal(complement(meet(X_718,complement(meet(X_676,X_718)))),join(complement(X_718),meet(X_676,X_718))) )],[refute_1_4531,refute_1_4534]) ).
cnf(refute_1_4536,plain,
( join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))) != join(X_676,join(complement(X_718),meet(X_676,X_718)))
| join(complement(X_718),meet(X_676,X_718)) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,join(complement(X_718),meet(X_676,X_718))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) ),[1],$fot(join(X_676,join(complement(X_718),meet(X_676,X_718))))]]) ).
cnf(refute_1_4537,plain,
( join(complement(X_718),meet(X_676,X_718)) != join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))
| join(complement(X_718),meet(X_676,X_718)) = join(X_676,join(complement(X_718),meet(X_676,X_718))) ),
inference(resolve,[$cnf( $equal(join(X_676,complement(meet(X_718,complement(meet(X_676,X_718))))),join(X_676,join(complement(X_718),meet(X_676,X_718)))) )],[refute_1_4535,refute_1_4536]) ).
cnf(refute_1_4538,plain,
join(complement(X_718),meet(X_676,X_718)) = join(X_676,join(complement(X_718),meet(X_676,X_718))),
inference(resolve,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,complement(meet(X_718,complement(meet(X_676,X_718)))))) )],[refute_1_4530,refute_1_4537]) ).
cnf(refute_1_4539,plain,
join(meet(X_1053,X_675),join(X_1052,X_1053)) = join(X_1052,join(X_1053,meet(X_1053,X_675))),
inference(subst,[],[refute_1_676:[bind(X0,$fot(meet(X_1053,X_675))),bind(X_727,$fot(X_1052)),bind(X_728,$fot(X_1053))]]) ).
cnf(refute_1_4540,plain,
X_1053 = join(X_1053,meet(X_1053,X_675)),
inference(subst,[],[refute_1_1321:[bind(X_754,$fot(X_1053))]]) ).
cnf(refute_1_4541,plain,
( X_1053 != join(X_1053,meet(X_1053,X_675))
| join(X_1053,meet(X_1053,X_675)) = X_1053 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_1053)),bind(Y,$fot(join(X_1053,meet(X_1053,X_675))))]]) ).
cnf(refute_1_4542,plain,
join(X_1053,meet(X_1053,X_675)) = X_1053,
inference(resolve,[$cnf( $equal(X_1053,join(X_1053,meet(X_1053,X_675))) )],[refute_1_4540,refute_1_4541]) ).
cnf(refute_1_4543,plain,
( join(X_1053,meet(X_1053,X_675)) != X_1053
| join(meet(X_1053,X_675),join(X_1052,X_1053)) != join(X_1052,join(X_1053,meet(X_1053,X_675)))
| join(meet(X_1053,X_675),join(X_1052,X_1053)) = join(X_1052,X_1053) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1053,X_675),join(X_1052,X_1053)),join(X_1052,join(X_1053,meet(X_1053,X_675)))) ),[1,1],$fot(X_1053)]]) ).
cnf(refute_1_4544,plain,
( join(meet(X_1053,X_675),join(X_1052,X_1053)) != join(X_1052,join(X_1053,meet(X_1053,X_675)))
| join(meet(X_1053,X_675),join(X_1052,X_1053)) = join(X_1052,X_1053) ),
inference(resolve,[$cnf( $equal(join(X_1053,meet(X_1053,X_675)),X_1053) )],[refute_1_4542,refute_1_4543]) ).
cnf(refute_1_4545,plain,
join(meet(X_1053,X_675),join(X_1052,X_1053)) = join(X_1052,X_1053),
inference(resolve,[$cnf( $equal(join(meet(X_1053,X_675),join(X_1052,X_1053)),join(X_1052,join(X_1053,meet(X_1053,X_675)))) )],[refute_1_4539,refute_1_4544]) ).
cnf(refute_1_4546,plain,
join(X_1051,join(X_1052,X_1053)) = join(X_1052,join(X_1053,X_1051)),
inference(subst,[],[refute_1_676:[bind(X0,$fot(X_1051)),bind(X_727,$fot(X_1052)),bind(X_728,$fot(X_1053))]]) ).
cnf(refute_1_4547,plain,
join(X_1053,X_1052) = join(X_1052,X_1053),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_1053)),bind(X1,$fot(X_1052))]]) ).
cnf(refute_1_4548,plain,
( join(X_1053,X_1052) != join(X_1052,X_1053)
| join(X_1052,X_1053) = join(X_1053,X_1052) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_1053,X_1052))),bind(Y,$fot(join(X_1052,X_1053)))]]) ).
cnf(refute_1_4549,plain,
join(X_1052,X_1053) = join(X_1053,X_1052),
inference(resolve,[$cnf( $equal(join(X_1053,X_1052),join(X_1052,X_1053)) )],[refute_1_4547,refute_1_4548]) ).
cnf(refute_1_4550,plain,
( join(X_1051,join(X_1052,X_1053)) != join(X_1052,join(X_1053,X_1051))
| join(X_1052,X_1053) != join(X_1053,X_1052)
| join(X_1051,join(X_1053,X_1052)) = join(X_1052,join(X_1053,X_1051)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1051,join(X_1052,X_1053)),join(X_1052,join(X_1053,X_1051))) ),[0,1],$fot(join(X_1053,X_1052))]]) ).
cnf(refute_1_4551,plain,
( join(X_1051,join(X_1052,X_1053)) != join(X_1052,join(X_1053,X_1051))
| join(X_1051,join(X_1053,X_1052)) = join(X_1052,join(X_1053,X_1051)) ),
inference(resolve,[$cnf( $equal(join(X_1052,X_1053),join(X_1053,X_1052)) )],[refute_1_4549,refute_1_4550]) ).
cnf(refute_1_4552,plain,
join(X_1051,join(X_1053,X_1052)) = join(X_1052,join(X_1053,X_1051)),
inference(resolve,[$cnf( $equal(join(X_1051,join(X_1052,X_1053)),join(X_1052,join(X_1053,X_1051))) )],[refute_1_4546,refute_1_4551]) ).
cnf(refute_1_4553,plain,
( join(X_1051,join(X_1053,X_1052)) != join(X_1052,join(X_1053,X_1051))
| join(X_1052,join(X_1053,X_1051)) = join(X_1051,join(X_1053,X_1052)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_1051,join(X_1053,X_1052)))),bind(Y,$fot(join(X_1052,join(X_1053,X_1051))))]]) ).
cnf(refute_1_4554,plain,
join(X_1052,join(X_1053,X_1051)) = join(X_1051,join(X_1053,X_1052)),
inference(resolve,[$cnf( $equal(join(X_1051,join(X_1053,X_1052)),join(X_1052,join(X_1053,X_1051))) )],[refute_1_4552,refute_1_4553]) ).
cnf(refute_1_4555,plain,
join(meet(X_1053,X_675),join(X_1052,X_1053)) = join(X_1053,join(X_1052,meet(X_1053,X_675))),
inference(subst,[],[refute_1_4554:[bind(X_1051,$fot(X_1053)),bind(X_1052,$fot(meet(X_1053,X_675))),bind(X_1053,$fot(X_1052))]]) ).
cnf(refute_1_4556,plain,
( join(meet(X_1053,X_675),join(X_1052,X_1053)) != join(X_1052,X_1053)
| join(meet(X_1053,X_675),join(X_1052,X_1053)) != join(X_1053,join(X_1052,meet(X_1053,X_675)))
| join(X_1053,join(X_1052,meet(X_1053,X_675))) = join(X_1052,X_1053) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1053,X_675),join(X_1052,X_1053)),join(X_1052,X_1053)) ),[0],$fot(join(X_1053,join(X_1052,meet(X_1053,X_675))))]]) ).
cnf(refute_1_4557,plain,
( join(meet(X_1053,X_675),join(X_1052,X_1053)) != join(X_1052,X_1053)
| join(X_1053,join(X_1052,meet(X_1053,X_675))) = join(X_1052,X_1053) ),
inference(resolve,[$cnf( $equal(join(meet(X_1053,X_675),join(X_1052,X_1053)),join(X_1053,join(X_1052,meet(X_1053,X_675)))) )],[refute_1_4555,refute_1_4556]) ).
cnf(refute_1_4558,plain,
join(X_1053,join(X_1052,meet(X_1053,X_675))) = join(X_1052,X_1053),
inference(resolve,[$cnf( $equal(join(meet(X_1053,X_675),join(X_1052,X_1053)),join(X_1052,X_1053)) )],[refute_1_4545,refute_1_4557]) ).
cnf(refute_1_4559,plain,
join(X_676,join(complement(X_718),meet(X_676,X_718))) = join(complement(X_718),X_676),
inference(subst,[],[refute_1_4558:[bind(X_1052,$fot(complement(X_718))),bind(X_1053,$fot(X_676)),bind(X_675,$fot(X_718))]]) ).
cnf(refute_1_4560,plain,
( join(X_676,join(complement(X_718),meet(X_676,X_718))) != join(complement(X_718),X_676)
| join(complement(X_718),meet(X_676,X_718)) != join(X_676,join(complement(X_718),meet(X_676,X_718)))
| join(complement(X_718),meet(X_676,X_718)) = join(complement(X_718),X_676) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,join(complement(X_718),meet(X_676,X_718)))) ),[1],$fot(join(complement(X_718),X_676))]]) ).
cnf(refute_1_4561,plain,
( join(complement(X_718),meet(X_676,X_718)) != join(X_676,join(complement(X_718),meet(X_676,X_718)))
| join(complement(X_718),meet(X_676,X_718)) = join(complement(X_718),X_676) ),
inference(resolve,[$cnf( $equal(join(X_676,join(complement(X_718),meet(X_676,X_718))),join(complement(X_718),X_676)) )],[refute_1_4559,refute_1_4560]) ).
cnf(refute_1_4562,plain,
join(complement(X_718),meet(X_676,X_718)) = join(complement(X_718),X_676),
inference(resolve,[$cnf( $equal(join(complement(X_718),meet(X_676,X_718)),join(X_676,join(complement(X_718),meet(X_676,X_718)))) )],[refute_1_4538,refute_1_4561]) ).
cnf(refute_1_4563,plain,
join(complement(X_790),meet(X_791,X_790)) = join(complement(X_790),X_791),
inference(subst,[],[refute_1_4562:[bind(X_676,$fot(X_791)),bind(X_718,$fot(X_790))]]) ).
cnf(refute_1_4564,plain,
meet(X_1114,X_1113) = meet(meet(X_1114,X_1113),join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115))),
inference(subst,[],[refute_1_453:[bind(X_675,$fot(meet(X_1114,X_1113))),bind(X_732,$fot(join(meet(complement(X_1113),X_1114),X_1115)))]]) ).
cnf(refute_1_4565,plain,
join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)) = join(X_1114,X_1115),
inference(subst,[],[refute_1_720:[bind(X_702,$fot(X_1113)),bind(X_703,$fot(X_1114)),bind(X_729,$fot(X_1115))]]) ).
cnf(refute_1_4566,plain,
( join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)) != join(X_1114,X_1115)
| meet(X_1114,X_1113) != meet(meet(X_1114,X_1113),join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)))
| meet(X_1114,X_1113) = meet(meet(X_1114,X_1113),join(X_1114,X_1115)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1114,X_1113),meet(meet(X_1114,X_1113),join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)))) ),[1,1],$fot(join(X_1114,X_1115))]]) ).
cnf(refute_1_4567,plain,
( meet(X_1114,X_1113) != meet(meet(X_1114,X_1113),join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)))
| meet(X_1114,X_1113) = meet(meet(X_1114,X_1113),join(X_1114,X_1115)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)),join(X_1114,X_1115)) )],[refute_1_4565,refute_1_4566]) ).
cnf(refute_1_4568,plain,
meet(X_1114,X_1113) = meet(meet(X_1114,X_1113),join(X_1114,X_1115)),
inference(resolve,[$cnf( $equal(meet(X_1114,X_1113),meet(meet(X_1114,X_1113),join(meet(X_1114,X_1113),join(meet(complement(X_1113),X_1114),X_1115)))) )],[refute_1_4564,refute_1_4567]) ).
cnf(refute_1_4569,plain,
( meet(X_1114,X_1113) != meet(meet(X_1114,X_1113),join(X_1114,X_1115))
| meet(meet(X_1114,X_1113),join(X_1114,X_1115)) = meet(X_1114,X_1113) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_1114,X_1113))),bind(Y,$fot(meet(meet(X_1114,X_1113),join(X_1114,X_1115))))]]) ).
cnf(refute_1_4570,plain,
meet(meet(X_1114,X_1113),join(X_1114,X_1115)) = meet(X_1114,X_1113),
inference(resolve,[$cnf( $equal(meet(X_1114,X_1113),meet(meet(X_1114,X_1113),join(X_1114,X_1115))) )],[refute_1_4568,refute_1_4569]) ).
cnf(refute_1_4571,plain,
meet(meet(X_791,X_790),join(X_791,complement(X_790))) = meet(X_791,X_790),
inference(subst,[],[refute_1_4570:[bind(X_1113,$fot(X_790)),bind(X_1114,$fot(X_791)),bind(X_1115,$fot(complement(X_790)))]]) ).
cnf(refute_1_4572,plain,
join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),
introduced(tautology,[refl,[$fot(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))))]]) ).
cnf(refute_1_4573,plain,
( join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) != join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))
| meet(meet(X_791,X_790),join(X_791,complement(X_790))) != meet(X_791,X_790)
| join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),meet(X_791,X_790)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))) ),[1,1],$fot(meet(X_791,X_790))]]) ).
cnf(refute_1_4574,plain,
( meet(meet(X_791,X_790),join(X_791,complement(X_790))) != meet(X_791,X_790)
| join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),meet(X_791,X_790)) ),
inference(resolve,[$cnf( $equal(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))) )],[refute_1_4572,refute_1_4573]) ).
cnf(refute_1_4575,plain,
join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),meet(X_791,X_790)),
inference(resolve,[$cnf( $equal(meet(meet(X_791,X_790),join(X_791,complement(X_790))),meet(X_791,X_790)) )],[refute_1_4571,refute_1_4574]) ).
cnf(refute_1_4576,plain,
( join(complement(X_790),meet(X_791,X_790)) != join(complement(X_790),X_791)
| join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) != join(complement(X_790),meet(X_791,X_790))
| join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),X_791) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))))),bind(Y,$fot(join(complement(X_790),meet(X_791,X_790)))),bind(Z,$fot(join(complement(X_790),X_791)))]]) ).
cnf(refute_1_4577,plain,
( join(complement(X_790),meet(X_791,X_790)) != join(complement(X_790),X_791)
| join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),X_791) ),
inference(resolve,[$cnf( $equal(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),join(complement(X_790),meet(X_791,X_790))) )],[refute_1_4575,refute_1_4576]) ).
cnf(refute_1_4578,plain,
join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) = join(complement(X_790),X_791),
inference(resolve,[$cnf( $equal(join(complement(X_790),meet(X_791,X_790)),join(complement(X_790),X_791)) )],[refute_1_4563,refute_1_4577]) ).
cnf(refute_1_4579,plain,
( join(X_791,complement(X_790)) != join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))
| join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))) != join(complement(X_790),X_791)
| join(X_791,complement(X_790)) = join(complement(X_790),X_791) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_791,complement(X_790)),join(complement(X_790),X_791)) ),[0],$fot(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))))]]) ).
cnf(refute_1_4580,plain,
( join(X_791,complement(X_790)) != join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))
| join(X_791,complement(X_790)) = join(complement(X_790),X_791) ),
inference(resolve,[$cnf( $equal(join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790)))),join(complement(X_790),X_791)) )],[refute_1_4578,refute_1_4579]) ).
cnf(refute_1_4581,plain,
join(X_791,complement(X_790)) = join(complement(X_790),X_791),
inference(resolve,[$cnf( $equal(join(X_791,complement(X_790)),join(complement(X_790),meet(meet(X_791,X_790),join(X_791,complement(X_790))))) )],[refute_1_4311,refute_1_4580]) ).
cnf(refute_1_4582,plain,
( join(X_791,complement(X_790)) != join(complement(X_790),X_791)
| join(complement(X_790),X_791) = join(X_791,complement(X_790)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_791,complement(X_790)))),bind(Y,$fot(join(complement(X_790),X_791)))]]) ).
cnf(refute_1_4583,plain,
join(complement(X_790),X_791) = join(X_791,complement(X_790)),
inference(resolve,[$cnf( $equal(join(X_791,complement(X_790)),join(complement(X_790),X_791)) )],[refute_1_4581,refute_1_4582]) ).
cnf(refute_1_4584,plain,
join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_4583:[bind(X_790,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_791,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4585,plain,
complement(meet(X_713,complement(X_675))) = join(complement(X_713),X_675),
inference(subst,[],[refute_1_1177:[bind(X_1010,$fot(X_713))]]) ).
cnf(refute_1_4586,plain,
( complement(meet(X_713,complement(X_675))) != join(X_675,complement(join(X_675,X_713)))
| complement(meet(X_713,complement(X_675))) != join(complement(X_713),X_675)
| join(complement(X_713),X_675) = join(X_675,complement(join(X_675,X_713))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(X_675,complement(join(X_675,X_713)))) ),[0],$fot(join(complement(X_713),X_675))]]) ).
cnf(refute_1_4587,plain,
( complement(meet(X_713,complement(X_675))) != join(X_675,complement(join(X_675,X_713)))
| join(complement(X_713),X_675) = join(X_675,complement(join(X_675,X_713))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(complement(X_713),X_675)) )],[refute_1_4585,refute_1_4586]) ).
cnf(refute_1_4588,plain,
join(complement(X_713),X_675) = join(X_675,complement(join(X_675,X_713))),
inference(resolve,[$cnf( $equal(complement(meet(X_713,complement(X_675))),join(X_675,complement(join(X_675,X_713)))) )],[refute_1_4521,refute_1_4587]) ).
cnf(refute_1_4589,plain,
( join(complement(X_713),X_675) != join(X_675,complement(join(X_675,X_713)))
| join(X_675,complement(join(X_675,X_713))) = join(complement(X_713),X_675) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(complement(X_713),X_675))),bind(Y,$fot(join(X_675,complement(join(X_675,X_713)))))]]) ).
cnf(refute_1_4590,plain,
join(X_675,complement(join(X_675,X_713))) = join(complement(X_713),X_675),
inference(resolve,[$cnf( $equal(join(complement(X_713),X_675),join(X_675,complement(join(X_675,X_713)))) )],[refute_1_4588,refute_1_4589]) ).
cnf(refute_1_4591,plain,
join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_4590:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_713,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4592,plain,
( join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4593,plain,
( join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) )],[refute_1_4591,refute_1_4592]) ).
cnf(refute_1_4594,plain,
join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4584,refute_1_4593]) ).
cnf(refute_1_4595,plain,
complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_4381:[bind(X_982,$fot(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X_983,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4596,plain,
( complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4597,plain,
( join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4595,refute_1_4596]) ).
cnf(refute_1_4598,plain,
complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4594,refute_1_4597]) ).
cnf(refute_1_4599,plain,
meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4600,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_3237:[bind(X1,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X_601,$fot(skolemFOFtoCNF_X0_1)),bind(X_602,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4601,plain,
complement(complement(skolemFOFtoCNF_X0_1)) = join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_713,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4602,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(complement(skolemFOFtoCNF_X0_1)) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) ),[1,0,0],$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4603,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| complement(complement(skolemFOFtoCNF_X0_1)) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4247,refute_1_4602]) ).
cnf(refute_1_4604,plain,
complement(complement(skolemFOFtoCNF_X0_1)) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),join(complement(join(complement(skolemFOFtoCNF_X0_1),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4601,refute_1_4603]) ).
cnf(refute_1_4605,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| complement(complement(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| skolemFOFtoCNF_X0_1 = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_4606,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_1293,refute_1_4605]) ).
cnf(refute_1_4607,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X_735,$fot(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4608,plain,
meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4609,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_4610,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4608,refute_1_4609]) ).
cnf(refute_1_4611,plain,
meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_1293,refute_1_4610]) ).
cnf(refute_1_4612,plain,
meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) = meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(complement(skolemFOFtoCNF_X0_1)))),bind(X_602,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4613,plain,
( meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) != meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) = meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4614,plain,
( meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) = meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))),meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4612,refute_1_4613]) ).
cnf(refute_1_4615,plain,
meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) = meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0_1)),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4611,refute_1_4614]) ).
cnf(refute_1_4616,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4617,plain,
( join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) != meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4618,plain,
( meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))) != meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4616,refute_1_4617]) ).
cnf(refute_1_4619,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4615,refute_1_4618]) ).
cnf(refute_1_4620,plain,
( join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4621,plain,
( join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4619,refute_1_4620]) ).
cnf(refute_1_4622,plain,
join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4607,refute_1_4621]) ).
cnf(refute_1_4623,plain,
( join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))) != join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| skolemFOFtoCNF_X0_1 != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) ),[1],$fot(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4624,plain,
( skolemFOFtoCNF_X0_1 != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1)))),join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4622,refute_1_4623]) ).
cnf(refute_1_4625,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4606,refute_1_4624]) ).
cnf(refute_1_4626,plain,
skolemFOFtoCNF_X0_1 = join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),join(complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),complement(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4604,refute_1_4625]) ).
cnf(refute_1_4627,plain,
( skolemFOFtoCNF_X0_1 != join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_4628,plain,
join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4626,refute_1_4627]) ).
cnf(refute_1_4629,plain,
( join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != skolemFOFtoCNF_X0_1
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_4630,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),skolemFOFtoCNF_X0_1) )],[refute_1_4628,refute_1_4629]) ).
cnf(refute_1_4631,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_4600,refute_1_4630]) ).
cnf(refute_1_4632,plain,
meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1989:[bind(X1,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4633,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4634,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_713,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4635,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| complement(skolemFOFtoCNF_X0_1) = join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_1_4636,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),one) )],[refute_1_2825,refute_1_4635]) ).
cnf(refute_1_4637,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4634,refute_1_4636]) ).
cnf(refute_1_4638,plain,
( meet(X_676,X_675) != meet(X_675,meet(X_676,X_675))
| meet(X_675,meet(X_676,X_675)) = meet(X_676,X_675) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_676,X_675))),bind(Y,$fot(meet(X_675,meet(X_676,X_675))))]]) ).
cnf(refute_1_4639,plain,
meet(X_675,meet(X_676,X_675)) = meet(X_676,X_675),
inference(resolve,[$cnf( $equal(meet(X_676,X_675),meet(X_675,meet(X_676,X_675))) )],[refute_1_463,refute_1_4638]) ).
cnf(refute_1_4640,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_4639:[bind(X_675,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_676,$fot(one))]]) ).
cnf(refute_1_4641,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4642,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4643,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4641,refute_1_4642]) ).
cnf(refute_1_4644,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_4640,refute_1_4643]) ).
cnf(refute_1_4645,plain,
join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4646,plain,
( join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) != join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4647,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(skolemFOFtoCNF_X0_1))
| join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4645,refute_1_4646]) ).
cnf(refute_1_4648,plain,
join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_4644,refute_1_4647]) ).
cnf(refute_1_4649,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0_1),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4650,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4648,refute_1_4649]) ).
cnf(refute_1_4651,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(one),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4637,refute_1_4650]) ).
cnf(refute_1_4652,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0_1))),bind(Y,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4653,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4651,refute_1_4652]) ).
cnf(refute_1_4654,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) != join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),X2)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(complement(skolemFOFtoCNF_X0_1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)),join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),X2)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4655,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) != join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),X2)
| join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(complement(skolemFOFtoCNF_X0_1),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_4653,refute_1_4654]) ).
cnf(refute_1_4656,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(complement(skolemFOFtoCNF_X0_1),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)),join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),X2)) )],[refute_1_4633,refute_1_4655]) ).
cnf(refute_1_4657,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_4656:[bind(X2,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4658,plain,
meet(X_702,X_703) = meet(X_703,X_702),
inference(subst,[],[refute_1_38:[bind(X_601,$fot(X_702)),bind(X_602,$fot(X_703))]]) ).
cnf(refute_1_4659,plain,
( meet(X_702,X_703) != meet(X_703,X_702)
| meet(X_703,X_702) = meet(X_702,X_703) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_702,X_703))),bind(Y,$fot(meet(X_703,X_702)))]]) ).
cnf(refute_1_4660,plain,
meet(X_703,X_702) = meet(X_702,X_703),
inference(resolve,[$cnf( $equal(meet(X_702,X_703),meet(X_703,X_702)) )],[refute_1_4658,refute_1_4659]) ).
cnf(refute_1_4661,plain,
( X_703 != join(meet(X_703,X_702),meet(X_703,complement(X_702)))
| meet(X_703,X_702) != meet(X_702,X_703)
| X_703 = join(meet(X_702,X_703),meet(X_703,complement(X_702))) ),
introduced(tautology,[equality,[$cnf( $equal(X_703,join(meet(X_703,X_702),meet(X_703,complement(X_702)))) ),[1,0],$fot(meet(X_702,X_703))]]) ).
cnf(refute_1_4662,plain,
( X_703 != join(meet(X_703,X_702),meet(X_703,complement(X_702)))
| X_703 = join(meet(X_702,X_703),meet(X_703,complement(X_702))) ),
inference(resolve,[$cnf( $equal(meet(X_703,X_702),meet(X_702,X_703)) )],[refute_1_4660,refute_1_4661]) ).
cnf(refute_1_4663,plain,
X_703 = join(meet(X_702,X_703),meet(X_703,complement(X_702))),
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,X_702),meet(X_703,complement(X_702)))) )],[refute_1_705,refute_1_4662]) ).
cnf(refute_1_4664,plain,
complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_4663:[bind(X_702,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_703,$fot(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4665,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_704:[bind(X1,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4666,plain,
meet(complement(X_981),meet(X_981,X_1019)) = complement(join(X_981,complement(meet(X_981,X_1019)))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(meet(X_981,X_1019)))]]) ).
cnf(refute_1_4667,plain,
join(X_981,complement(meet(X_981,X_1019))) = top,
inference(subst,[],[refute_1_1128:[bind(X_1011,$fot(X_1019)),bind(X_727,$fot(X_981))]]) ).
cnf(refute_1_4668,plain,
( join(X_981,complement(meet(X_981,X_1019))) != top
| meet(complement(X_981),meet(X_981,X_1019)) != complement(join(X_981,complement(meet(X_981,X_1019))))
| meet(complement(X_981),meet(X_981,X_1019)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_981),meet(X_981,X_1019)),complement(join(X_981,complement(meet(X_981,X_1019))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_4669,plain,
( meet(complement(X_981),meet(X_981,X_1019)) != complement(join(X_981,complement(meet(X_981,X_1019))))
| meet(complement(X_981),meet(X_981,X_1019)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_981,complement(meet(X_981,X_1019))),top) )],[refute_1_4667,refute_1_4668]) ).
cnf(refute_1_4670,plain,
meet(complement(X_981),meet(X_981,X_1019)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_981),meet(X_981,X_1019)),complement(join(X_981,complement(meet(X_981,X_1019))))) )],[refute_1_4666,refute_1_4669]) ).
cnf(refute_1_4671,plain,
( complement(top) != zero
| meet(complement(X_981),meet(X_981,X_1019)) != complement(top)
| meet(complement(X_981),meet(X_981,X_1019)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_981),meet(X_981,X_1019)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_4672,plain,
( meet(complement(X_981),meet(X_981,X_1019)) != complement(top)
| meet(complement(X_981),meet(X_981,X_1019)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_4671]) ).
cnf(refute_1_4673,plain,
meet(complement(X_981),meet(X_981,X_1019)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_981),meet(X_981,X_1019)),complement(top)) )],[refute_1_4670,refute_1_4672]) ).
cnf(refute_1_4674,plain,
meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = zero,
inference(subst,[],[refute_1_4673:[bind(X_1019,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_981,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4675,plain,
X_717 = meet(X_717,join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717))),
inference(subst,[],[refute_1_2943:[bind(X_675,$fot(join(X_727,X_728)))]]) ).
cnf(refute_1_4676,plain,
join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))) = join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)),
inference(subst,[],[refute_1_46:[bind(X0,$fot(X_727)),bind(X1,$fot(X_728)),bind(X2,$fot(meet(complement(join(X_727,X_728)),X_717)))]]) ).
cnf(refute_1_4677,plain,
( join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))) != join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717))
| join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)) = join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))))),bind(Y,$fot(join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717))))]]) ).
cnf(refute_1_4678,plain,
join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)) = join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))),
inference(resolve,[$cnf( $equal(join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))),join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717))) )],[refute_1_4676,refute_1_4677]) ).
cnf(refute_1_4679,plain,
( X_717 != meet(X_717,join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)))
| join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)) != join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717)))
| X_717 = meet(X_717,join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_717,meet(X_717,join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)))) ),[1,1],$fot(join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717))))]]) ).
cnf(refute_1_4680,plain,
( X_717 != meet(X_717,join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)))
| X_717 = meet(X_717,join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717)))) ),
inference(resolve,[$cnf( $equal(join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)),join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717)))) )],[refute_1_4678,refute_1_4679]) ).
cnf(refute_1_4681,plain,
X_717 = meet(X_717,join(X_727,join(X_728,meet(complement(join(X_727,X_728)),X_717)))),
inference(resolve,[$cnf( $equal(X_717,meet(X_717,join(join(X_727,X_728),meet(complement(join(X_727,X_728)),X_717)))) )],[refute_1_4675,refute_1_4680]) ).
cnf(refute_1_4682,plain,
X_1094 = meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),X_1094)))),
inference(subst,[],[refute_1_4681:[bind(X_717,$fot(X_1094)),bind(X_727,$fot(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),bind(X_728,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_4683,plain,
( X_1094 != meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),X_1094))))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| X_1094 = meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_1094,meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),X_1094))))) ),[1,1,1,1,0,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_4684,plain,
( X_1094 != meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),X_1094))))
| X_1094 = meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_3284,refute_1_4683]) ).
cnf(refute_1_4685,plain,
X_1094 = meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))),
inference(resolve,[$cnf( $equal(X_1094,meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),X_1094))))) )],[refute_1_4682,refute_1_4684]) ).
cnf(refute_1_4686,plain,
join(complement(one),complement(X_1094)) = complement(meet(one,X_1094)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(X_1094))]]) ).
cnf(refute_1_4687,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) = join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))))]]) ).
cnf(refute_1_4688,plain,
( join(complement(one),complement(X_1094)) != complement(meet(one,X_1094))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) != join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))),join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094)))) ),[1,1],$fot(complement(meet(one,X_1094)))]]) ).
cnf(refute_1_4689,plain,
( join(complement(one),complement(X_1094)) != complement(meet(one,X_1094))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))),join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094)))) )],[refute_1_4687,refute_1_4688]) ).
cnf(refute_1_4690,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(X_1094)),complement(meet(one,X_1094))) )],[refute_1_4686,refute_1_4689]) ).
cnf(refute_1_4691,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) = join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(one))),bind(X2,$fot(complement(X_1094)))]]) ).
cnf(refute_1_4692,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) != join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))]]) ).
cnf(refute_1_4693,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))
| join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)),join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094)))) )],[refute_1_4691,refute_1_4692]) ).
cnf(refute_1_4694,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),complement(X_1094))),join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))) )],[refute_1_4690,refute_1_4693]) ).
cnf(refute_1_4695,plain,
meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) = meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))),
introduced(tautology,[refl,[$fot(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))))]]) ).
cnf(refute_1_4696,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))
| meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) != meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))
| meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))),meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))]]) ).
cnf(refute_1_4697,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))
| meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))),meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) )],[refute_1_4695,refute_1_4696]) ).
cnf(refute_1_4698,plain,
meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)),join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))) )],[refute_1_4694,refute_1_4697]) ).
cnf(refute_1_4699,plain,
complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) = complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))))]]) ).
cnf(refute_1_4700,plain,
( complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) != complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))))
| meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) != meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))
| complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))),complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))))) ),[1,0],$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))]]) ).
cnf(refute_1_4701,plain,
( meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))) != meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))
| complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))),complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))))) )],[refute_1_4699,refute_1_4700]) ).
cnf(refute_1_4702,plain,
complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))),
inference(resolve,[$cnf( $equal(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))),meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))) )],[refute_1_4698,refute_1_4701]) ).
cnf(refute_1_4703,plain,
join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) = complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))),
inference(subst,[],[refute_1_3258:[bind(X_1010,$fot(one)),bind(X_979,$fot(X_1094)),bind(X_981,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4704,plain,
( complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) != complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))
| join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) != complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))))
| join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))),bind(Y,$fot(complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))))),bind(Z,$fot(complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))))]]) ).
cnf(refute_1_4705,plain,
( complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))) != complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))
| join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)),complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094))))) )],[refute_1_4703,refute_1_4704]) ).
cnf(refute_1_4706,plain,
join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(join(skolemFOFtoCNF_X0_1,complement(one)),complement(X_1094)))),complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))) )],[refute_1_4702,refute_1_4705]) ).
cnf(refute_1_4707,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))]]) ).
cnf(refute_1_4708,plain,
( join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) != complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) ),[1,1],$fot(complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))]]) ).
cnf(refute_1_4709,plain,
( join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)) != complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))
| join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) )],[refute_1_4707,refute_1_4708]) ).
cnf(refute_1_4710,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)),complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))) )],[refute_1_4706,refute_1_4709]) ).
cnf(refute_1_4711,plain,
join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),bind(X_737,$fot(complement(one)))]]) ).
cnf(refute_1_4712,plain,
join(X_1051,X_1053) = join(X_1053,X_1051),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_1051)),bind(X1,$fot(X_1053))]]) ).
cnf(refute_1_4713,plain,
( join(X_1051,X_1053) != join(X_1053,X_1051)
| join(X_1053,X_1051) = join(X_1051,X_1053) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_1051,X_1053))),bind(Y,$fot(join(X_1053,X_1051)))]]) ).
cnf(refute_1_4714,plain,
join(X_1053,X_1051) = join(X_1051,X_1053),
inference(resolve,[$cnf( $equal(join(X_1051,X_1053),join(X_1053,X_1051)) )],[refute_1_4712,refute_1_4713]) ).
cnf(refute_1_4715,plain,
( join(X_1051,join(X_1052,X_1053)) != join(X_1052,join(X_1053,X_1051))
| join(X_1053,X_1051) != join(X_1051,X_1053)
| join(X_1051,join(X_1052,X_1053)) = join(X_1052,join(X_1051,X_1053)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1051,join(X_1052,X_1053)),join(X_1052,join(X_1053,X_1051))) ),[1,1],$fot(join(X_1051,X_1053))]]) ).
cnf(refute_1_4716,plain,
( join(X_1051,join(X_1052,X_1053)) != join(X_1052,join(X_1053,X_1051))
| join(X_1051,join(X_1052,X_1053)) = join(X_1052,join(X_1051,X_1053)) ),
inference(resolve,[$cnf( $equal(join(X_1053,X_1051),join(X_1051,X_1053)) )],[refute_1_4714,refute_1_4715]) ).
cnf(refute_1_4717,plain,
join(X_1051,join(X_1052,X_1053)) = join(X_1052,join(X_1051,X_1053)),
inference(resolve,[$cnf( $equal(join(X_1051,join(X_1052,X_1053)),join(X_1052,join(X_1053,X_1051))) )],[refute_1_4546,refute_1_4716]) ).
cnf(refute_1_4718,plain,
( join(X_1051,join(X_1052,X_1053)) != join(X_1052,join(X_1051,X_1053))
| join(X_1052,join(X_1051,X_1053)) = join(X_1051,join(X_1052,X_1053)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_1051,join(X_1052,X_1053)))),bind(Y,$fot(join(X_1052,join(X_1051,X_1053))))]]) ).
cnf(refute_1_4719,plain,
join(X_1052,join(X_1051,X_1053)) = join(X_1051,join(X_1052,X_1053)),
inference(resolve,[$cnf( $equal(join(X_1051,join(X_1052,X_1053)),join(X_1052,join(X_1051,X_1053))) )],[refute_1_4717,refute_1_4718]) ).
cnf(refute_1_4720,plain,
join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one))),
inference(subst,[],[refute_1_4719:[bind(X_1051,$fot(skolemFOFtoCNF_X0_1)),bind(X_1052,$fot(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),bind(X_1053,$fot(complement(one)))]]) ).
cnf(refute_1_4721,plain,
( join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one)))
| join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))
| join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))))]]) ).
cnf(refute_1_4722,plain,
( join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))
| join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))),join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one)))) )],[refute_1_4720,refute_1_4721]) ).
cnf(refute_1_4723,plain,
join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),complement(one))),join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) )],[refute_1_4711,refute_1_4722]) ).
cnf(refute_1_4724,plain,
join(X0,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0)),
inference(subst,[],[refute_1_676:[bind(X_727,$fot(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))))),bind(X_728,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_4725,plain,
( join(X0,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(X0,join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))) ),[0,1],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_4726,plain,
( join(X0,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))
| join(X0,join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_3284,refute_1_4725]) ).
cnf(refute_1_4727,plain,
join(X0,join(skolemFOFtoCNF_X0_1,complement(one))) = join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))) )],[refute_1_4724,refute_1_4726]) ).
cnf(refute_1_4728,plain,
( join(X0,join(skolemFOFtoCNF_X0_1,complement(one))) != join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0)) = join(X0,join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))))]]) ).
cnf(refute_1_4729,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0)) = join(X0,join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0_1,complement(one))),join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),X0))) )],[refute_1_4727,refute_1_4728]) ).
cnf(refute_1_4730,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))),
inference(subst,[],[refute_1_4729:[bind(X0,$fot(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))]]) ).
cnf(refute_1_4731,plain,
( join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one)))
| join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))),bind(Y,$fot(join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))))]]) ).
cnf(refute_1_4732,plain,
( join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4730,refute_1_4731]) ).
cnf(refute_1_4733,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),
inference(resolve,[$cnf( $equal(join(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094),join(skolemFOFtoCNF_X0_1,complement(one))),join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) )],[refute_1_4723,refute_1_4732]) ).
cnf(refute_1_4734,plain,
( join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))))]]) ).
cnf(refute_1_4735,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))
| join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) )],[refute_1_4733,refute_1_4734]) ).
cnf(refute_1_4736,plain,
join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))) )],[refute_1_4710,refute_1_4735]) ).
cnf(refute_1_4737,plain,
meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) = meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))),
introduced(tautology,[refl,[$fot(meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))))]]) ).
cnf(refute_1_4738,plain,
( join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))
| meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) != meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))
| meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) = meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))),meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))))]]) ).
cnf(refute_1_4739,plain,
( join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))
| meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) = meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))) ),
inference(resolve,[$cnf( $equal(meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))),meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))) )],[refute_1_4737,refute_1_4738]) ).
cnf(refute_1_4740,plain,
meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) = meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))),
inference(resolve,[$cnf( $equal(join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))) )],[refute_1_4736,refute_1_4739]) ).
cnf(refute_1_4741,plain,
( X_1094 != meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))
| meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))) != meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))))
| X_1094 = meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_1094,meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))))) ),[0],$fot(meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))))]]) ).
cnf(refute_1_4742,plain,
( X_1094 != meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))
| X_1094 = meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))) ),
inference(resolve,[$cnf( $equal(meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094)))),meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094)))))))) )],[refute_1_4740,refute_1_4741]) ).
cnf(refute_1_4743,plain,
X_1094 = meet(X_1094,join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1094))))))),
inference(resolve,[$cnf( $equal(X_1094,meet(X_1094,join(complement(join(one,composition(skolemFOFtoCNF_X0_1,top))),join(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),X_1094))))) )],[refute_1_4685,refute_1_4742]) ).
cnf(refute_1_4744,plain,
composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),
inference(subst,[],[refute_1_4743:[bind(X_1094,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4745,plain,
meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_676))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4746,plain,
top = complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_1934:[bind(X_826,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4747,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| top != complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(skolemFOFtoCNF_X0_1,complement(one))))))
| top = complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,0,1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4748,plain,
( top != complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(skolemFOFtoCNF_X0_1,complement(one))))))
| top = complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_4747]) ).
cnf(refute_1_4749,plain,
top = complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(top,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),complement(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_4746,refute_1_4748]) ).
cnf(refute_1_4750,plain,
( top != complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4751,plain,
complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4749,refute_1_4750]) ).
cnf(refute_1_4752,plain,
( complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_676)))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_676)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_1_4753,plain,
( meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_676)))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_4751,refute_1_4752]) ).
cnf(refute_1_4754,plain,
meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_676)))) )],[refute_1_4745,refute_1_4753]) ).
cnf(refute_1_4755,plain,
X_703 = join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_703)),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4756,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_703))
| complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| X_703 = join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) ),
introduced(tautology,[equality,[$cnf( $equal(X_703,join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_703))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_4757,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_703))
| X_703 = join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_4751,refute_1_4756]) ).
cnf(refute_1_4758,plain,
X_703 = join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)),
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),X_703))) )],[refute_1_4755,refute_1_4757]) ).
cnf(refute_1_4759,plain,
meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4760,plain,
( complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_1_4761,plain,
( meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_4751,refute_1_4760]) ).
cnf(refute_1_4762,plain,
meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_4759,refute_1_4761]) ).
cnf(refute_1_4763,plain,
join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4764,plain,
join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4765,plain,
( complement(join(X_711,top)) != zero
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_4766,plain,
( complement(join(X_711,top)) != zero
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4764,refute_1_4765]) ).
cnf(refute_1_4767,plain,
join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(join(X_711,top)),zero) )],[refute_1_1957,refute_1_4766]) ).
cnf(refute_1_4768,plain,
( join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4769,plain,
( join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4767,refute_1_4768]) ).
cnf(refute_1_4770,plain,
join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4763,refute_1_4769]) ).
cnf(refute_1_4771,plain,
join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) = join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(X_711,top)))),bind(X1,$fot(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4772,plain,
( join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) != join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))))),bind(Y,$fot(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4773,plain,
( join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))),join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4771,refute_1_4772]) ).
cnf(refute_1_4774,plain,
join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(join(X_711,top)),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4770,refute_1_4773]) ).
cnf(refute_1_4775,plain,
( join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))) != meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top)))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top)))) ),[1],$fot(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4776,plain,
( meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top)))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top))),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4774,refute_1_4775]) ).
cnf(refute_1_4777,plain,
meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(X_711,top)))) )],[refute_1_4762,refute_1_4776]) ).
cnf(refute_1_4778,plain,
( meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4779,plain,
meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(X_711,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4777,refute_1_4778]) ).
cnf(refute_1_4780,plain,
meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_4779:[bind(X_711,$fot(X_703))]]) ).
cnf(refute_1_4781,plain,
join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4782,plain,
( join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4783,plain,
( meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4781,refute_1_4782]) ).
cnf(refute_1_4784,plain,
join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4780,refute_1_4783]) ).
cnf(refute_1_4785,plain,
join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4786,plain,
( join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(top,X_703) != X_703
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(X_703)]]) ).
cnf(refute_1_4787,plain,
( meet(top,X_703) != X_703
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4785,refute_1_4786]) ).
cnf(refute_1_4788,plain,
join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(top,X_703),X_703) )],[refute_1_1990,refute_1_4787]) ).
cnf(refute_1_4789,plain,
( join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4790,plain,
( join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4788,refute_1_4789]) ).
cnf(refute_1_4791,plain,
join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(X_703,meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4784,refute_1_4790]) ).
cnf(refute_1_4792,plain,
join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) = join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(meet(top,X_703))),bind(X1,$fot(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4793,plain,
( join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) != join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)))),bind(Y,$fot(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4794,plain,
( join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)),join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4792,refute_1_4793]) ).
cnf(refute_1_4795,plain,
join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(meet(top,X_703),meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4791,refute_1_4794]) ).
cnf(refute_1_4796,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703))
| join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)) != join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| X_703 = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_703,join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)))]]) ).
cnf(refute_1_4797,plain,
( X_703 != join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703))
| X_703 = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703)),join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4795,refute_1_4796]) ).
cnf(refute_1_4798,plain,
X_703 = join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(X_703,join(meet(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,X_703))) )],[refute_1_4758,refute_1_4797]) ).
cnf(refute_1_4799,plain,
( X_703 != join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = X_703 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_703)),bind(Y,$fot(join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4800,plain,
join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = X_703,
inference(resolve,[$cnf( $equal(X_703,join(X_703,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4798,refute_1_4799]) ).
cnf(refute_1_4801,plain,
join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = zero,
inference(subst,[],[refute_1_4800:[bind(X_703,$fot(zero))]]) ).
cnf(refute_1_4802,plain,
meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_4779:[bind(X_711,$fot(X_676))]]) ).
cnf(refute_1_4803,plain,
join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4804,plain,
( join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4805,plain,
( meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4803,refute_1_4804]) ).
cnf(refute_1_4806,plain,
join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4802,refute_1_4805]) ).
cnf(refute_1_4807,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4808,plain,
( complement(join(top,X_676)) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_4809,plain,
( complement(join(top,X_676)) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4807,refute_1_4808]) ).
cnf(refute_1_4810,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(join(top,X_676)),zero) )],[refute_1_2020,refute_1_4809]) ).
cnf(refute_1_4811,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4812,plain,
( join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4810,refute_1_4811]) ).
cnf(refute_1_4813,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4806,refute_1_4812]) ).
cnf(refute_1_4814,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_4815,plain,
( join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != zero
| join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4813,refute_1_4814]) ).
cnf(refute_1_4816,plain,
join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),zero) )],[refute_1_4801,refute_1_4815]) ).
cnf(refute_1_4817,plain,
join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) = join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(join(top,X_676)))),bind(X1,$fot(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4818,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != zero
| join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) != join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))))),bind(Y,$fot(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_4819,plain,
( join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != zero
| join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))),join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4817,refute_1_4818]) ).
cnf(refute_1_4820,plain,
join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) = zero,
inference(resolve,[$cnf( $equal(join(complement(join(top,X_676)),meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),zero) )],[refute_1_4816,refute_1_4819]) ).
cnf(refute_1_4821,plain,
( join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))) != zero
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676)))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676)))) ),[1],$fot(zero)]]) ).
cnf(refute_1_4822,plain,
( meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676)))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676))),zero) )],[refute_1_4820,refute_1_4821]) ).
cnf(refute_1_4823,plain,
meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero,
inference(resolve,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(X_676,meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(top,X_676)))) )],[refute_1_4754,refute_1_4822]) ).
cnf(refute_1_4824,plain,
( composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))))
| meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != zero
| composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))))) ),[1,1,1,0,1,1,0],$fot(zero)]]) ).
cnf(refute_1_4825,plain,
( composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))))
| composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),zero) )],[refute_1_4823,refute_1_4824]) ).
cnf(refute_1_4826,plain,
composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))),
inference(resolve,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_4744,refute_1_4825]) ).
cnf(refute_1_4827,plain,
X_677 = join(zero,meet(top,X_677)),
inference(subst,[],[refute_1_345:[bind(X_675,$fot(X_677))]]) ).
cnf(refute_1_4828,plain,
meet(X_677,top) = meet(top,X_677),
inference(subst,[],[refute_1_38:[bind(X_601,$fot(X_677)),bind(X_602,$fot(top))]]) ).
cnf(refute_1_4829,plain,
( meet(X_677,top) != meet(top,X_677)
| meet(top,X_677) = meet(X_677,top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_677,top))),bind(Y,$fot(meet(top,X_677)))]]) ).
cnf(refute_1_4830,plain,
meet(top,X_677) = meet(X_677,top),
inference(resolve,[$cnf( $equal(meet(X_677,top),meet(top,X_677)) )],[refute_1_4828,refute_1_4829]) ).
cnf(refute_1_4831,plain,
( X_677 != join(zero,meet(top,X_677))
| meet(top,X_677) != meet(X_677,top)
| X_677 = join(zero,meet(X_677,top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_677,join(zero,meet(top,X_677))) ),[1,1],$fot(meet(X_677,top))]]) ).
cnf(refute_1_4832,plain,
( X_677 != join(zero,meet(top,X_677))
| X_677 = join(zero,meet(X_677,top)) ),
inference(resolve,[$cnf( $equal(meet(top,X_677),meet(X_677,top)) )],[refute_1_4830,refute_1_4831]) ).
cnf(refute_1_4833,plain,
X_677 = join(zero,meet(X_677,top)),
inference(resolve,[$cnf( $equal(X_677,join(zero,meet(top,X_677))) )],[refute_1_4827,refute_1_4832]) ).
cnf(refute_1_4834,plain,
join(zero,meet(X_677,top)) = meet(X_677,top),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_677,top)))]]) ).
cnf(refute_1_4835,plain,
( X_677 != join(zero,meet(X_677,top))
| join(zero,meet(X_677,top)) != meet(X_677,top)
| X_677 = meet(X_677,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_677,meet(X_677,top)) ),[0],$fot(join(zero,meet(X_677,top)))]]) ).
cnf(refute_1_4836,plain,
( X_677 != join(zero,meet(X_677,top))
| X_677 = meet(X_677,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_677,top)),meet(X_677,top)) )],[refute_1_4834,refute_1_4835]) ).
cnf(refute_1_4837,plain,
X_677 = meet(X_677,top),
inference(resolve,[$cnf( $equal(X_677,join(zero,meet(X_677,top))) )],[refute_1_4833,refute_1_4836]) ).
cnf(refute_1_4838,plain,
( X_677 != meet(X_677,top)
| meet(X_677,top) = X_677 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_677)),bind(Y,$fot(meet(X_677,top)))]]) ).
cnf(refute_1_4839,plain,
meet(X_677,top) = X_677,
inference(resolve,[$cnf( $equal(X_677,meet(X_677,top)) )],[refute_1_4837,refute_1_4838]) ).
cnf(refute_1_4840,plain,
meet(one,top) = one,
inference(subst,[],[refute_1_4839:[bind(X_677,$fot(one))]]) ).
cnf(refute_1_4841,plain,
join(skolemFOFtoCNF_X0_1,top) = top,
inference(subst,[],[refute_1_1238:[bind(X0,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4842,plain,
join(skolemFOFtoCNF_X0_1,complement(zero)) = join(skolemFOFtoCNF_X0_1,complement(zero)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,complement(zero)))]]) ).
cnf(refute_1_4843,plain,
( complement(zero) != top
| join(skolemFOFtoCNF_X0_1,complement(zero)) != join(skolemFOFtoCNF_X0_1,complement(zero))
| join(skolemFOFtoCNF_X0_1,complement(zero)) = join(skolemFOFtoCNF_X0_1,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(zero)),join(skolemFOFtoCNF_X0_1,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_4844,plain,
( complement(zero) != top
| join(skolemFOFtoCNF_X0_1,complement(zero)) = join(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(zero)),join(skolemFOFtoCNF_X0_1,complement(zero))) )],[refute_1_4842,refute_1_4843]) ).
cnf(refute_1_4845,plain,
join(skolemFOFtoCNF_X0_1,complement(zero)) = join(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_4844]) ).
cnf(refute_1_4846,plain,
( join(skolemFOFtoCNF_X0_1,complement(zero)) != join(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,top) != top
| join(skolemFOFtoCNF_X0_1,complement(zero)) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(zero)))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_4847,plain,
( join(skolemFOFtoCNF_X0_1,top) != top
| join(skolemFOFtoCNF_X0_1,complement(zero)) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(zero)),join(skolemFOFtoCNF_X0_1,top)) )],[refute_1_4845,refute_1_4846]) ).
cnf(refute_1_4848,plain,
join(skolemFOFtoCNF_X0_1,complement(zero)) = top,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,top),top) )],[refute_1_4841,refute_1_4847]) ).
cnf(refute_1_4849,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))),
introduced(tautology,[refl,[$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))]]) ).
cnf(refute_1_4850,plain,
( join(skolemFOFtoCNF_X0_1,complement(zero)) != top
| meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) != meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = meet(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))),meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_4851,plain,
( join(skolemFOFtoCNF_X0_1,complement(zero)) != top
| meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = meet(one,top) ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))),meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) )],[refute_1_4849,refute_1_4850]) ).
cnf(refute_1_4852,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = meet(one,top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(zero)),top) )],[refute_1_4848,refute_1_4851]) ).
cnf(refute_1_4853,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) != meet(one,top)
| meet(one,top) != one
| meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),bind(Y,$fot(meet(one,top))),bind(Z,$fot(one))]]) ).
cnf(refute_1_4854,plain,
( meet(one,top) != one
| meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = one ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))),meet(one,top)) )],[refute_1_4852,refute_1_4853]) ).
cnf(refute_1_4855,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) = one,
inference(resolve,[$cnf( $equal(meet(one,top),one) )],[refute_1_4840,refute_1_4854]) ).
cnf(refute_1_4856,plain,
complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) = complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))]]) ).
cnf(refute_1_4857,plain,
( complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) != complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) != one
| complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))),complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_4858,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))) != one
| complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))),complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) )],[refute_1_4856,refute_1_4857]) ).
cnf(refute_1_4859,plain,
complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) = complement(one),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))),one) )],[refute_1_4855,refute_1_4858]) ).
cnf(refute_1_4860,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))))]]) ).
cnf(refute_1_4861,plain,
( complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) != complement(one)
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_4862,plain,
( complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))) != complement(one)
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) )],[refute_1_4860,refute_1_4861]) ).
cnf(refute_1_4863,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))),complement(one)) )],[refute_1_4859,refute_1_4862]) ).
cnf(refute_1_4864,plain,
meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4865,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_4866,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4864,refute_1_4865]) ).
cnf(refute_1_4867,plain,
meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_4863,refute_1_4866]) ).
cnf(refute_1_4868,plain,
meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) = meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))))),bind(X_602,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4869,plain,
( meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) != meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4870,plain,
( meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))),meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4868,refute_1_4869]) ).
cnf(refute_1_4871,plain,
meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4867,refute_1_4870]) ).
cnf(refute_1_4872,plain,
( composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))))
| meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))) != meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))))]]) ).
cnf(refute_1_4873,plain,
( composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))))
| composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero)))))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4871,refute_1_4872]) ).
cnf(refute_1_4874,plain,
composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) = meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(skolemFOFtoCNF_X0_1,complement(zero))))))) )],[refute_1_4826,refute_1_4873]) ).
cnf(refute_1_4875,plain,
( composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) != meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4876,plain,
meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4874,refute_1_4875]) ).
cnf(refute_1_4877,plain,
( meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != zero
| meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),zero) ),[0,1],$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4878,plain,
( meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != zero
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4876,refute_1_4877]) ).
cnf(refute_1_4879,plain,
meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(join(skolemFOFtoCNF_X0_1,complement(one)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),zero) )],[refute_1_4674,refute_1_4878]) ).
cnf(refute_1_4880,plain,
meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4881,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4882,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4880,refute_1_4881]) ).
cnf(refute_1_4883,plain,
meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_4882]) ).
cnf(refute_1_4884,plain,
( meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != zero
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),zero) ),[0],$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4885,plain,
( meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != zero
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4883,refute_1_4884]) ).
cnf(refute_1_4886,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(one))),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),zero) )],[refute_1_4879,refute_1_4885]) ).
cnf(refute_1_4887,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != zero
| meet(one,complement(skolemFOFtoCNF_X0_1)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_4888,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),zero) )],[refute_1_4886,refute_1_4887]) ).
cnf(refute_1_4889,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4665,refute_1_4888]) ).
cnf(refute_1_4890,plain,
join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4891,plain,
( join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1],$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4892,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4890,refute_1_4891]) ).
cnf(refute_1_4893,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),join(zero,meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4889,refute_1_4892]) ).
cnf(refute_1_4894,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4895,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4893,refute_1_4894]) ).
cnf(refute_1_4896,plain,
( complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_4897,plain,
( complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_4895,refute_1_4896]) ).
cnf(refute_1_4898,plain,
complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4664,refute_1_4897]) ).
cnf(refute_1_4899,plain,
join(X_731,join(complement(X_731),X_732)) = top,
inference(subst,[],[refute_1_378:[bind(X_727,$fot(X_731)),bind(X_729,$fot(X_732))]]) ).
cnf(refute_1_4900,plain,
join(X_732,complement(X_731)) = join(complement(X_731),X_732),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_732)),bind(X1,$fot(complement(X_731)))]]) ).
cnf(refute_1_4901,plain,
( join(X_732,complement(X_731)) != join(complement(X_731),X_732)
| join(complement(X_731),X_732) = join(X_732,complement(X_731)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_732,complement(X_731)))),bind(Y,$fot(join(complement(X_731),X_732)))]]) ).
cnf(refute_1_4902,plain,
join(complement(X_731),X_732) = join(X_732,complement(X_731)),
inference(resolve,[$cnf( $equal(join(X_732,complement(X_731)),join(complement(X_731),X_732)) )],[refute_1_4900,refute_1_4901]) ).
cnf(refute_1_4903,plain,
( join(X_731,join(complement(X_731),X_732)) != top
| join(complement(X_731),X_732) != join(X_732,complement(X_731))
| join(X_731,join(X_732,complement(X_731))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_731,join(complement(X_731),X_732)),top) ),[0,1],$fot(join(X_732,complement(X_731)))]]) ).
cnf(refute_1_4904,plain,
( join(X_731,join(complement(X_731),X_732)) != top
| join(X_731,join(X_732,complement(X_731))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_731),X_732),join(X_732,complement(X_731))) )],[refute_1_4902,refute_1_4903]) ).
cnf(refute_1_4905,plain,
join(X_731,join(X_732,complement(X_731))) = top,
inference(resolve,[$cnf( $equal(join(X_731,join(complement(X_731),X_732)),top) )],[refute_1_4899,refute_1_4904]) ).
cnf(refute_1_4906,plain,
join(one,join(skolemFOFtoCNF_X0_1,complement(one))) = top,
inference(subst,[],[refute_1_4905:[bind(X_731,$fot(one)),bind(X_732,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_4907,plain,
converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))),
introduced(tautology,[refl,[$fot(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_4908,plain,
( converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one))))
| join(one,join(skolemFOFtoCNF_X0_1,complement(one))) != top
| converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))),converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_4909,plain,
( join(one,join(skolemFOFtoCNF_X0_1,complement(one))) != top
| converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))),converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_4907,refute_1_4908]) ).
cnf(refute_1_4910,plain,
converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(top),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,complement(one))),top) )],[refute_1_4906,refute_1_4909]) ).
cnf(refute_1_4911,plain,
( converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(top)
| converse(top) != top
| converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_4912,plain,
( converse(top) != top
| converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))),converse(top)) )],[refute_1_4910,refute_1_4911]) ).
cnf(refute_1_4913,plain,
converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_4912]) ).
cnf(refute_1_4914,plain,
join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(subst,[],[refute_1_1436:[bind(X1,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_4915,plain,
( converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) != top
| join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one))))
| join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Y,$fot(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Z,$fot(top))]]) ).
cnf(refute_1_4916,plain,
( converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))) != top
| join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_4914,refute_1_4915]) ).
cnf(refute_1_4917,plain,
join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = top,
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0_1,complement(one)))),top) )],[refute_1_4913,refute_1_4916]) ).
cnf(refute_1_4918,plain,
composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4919,plain,
( composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) != composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != top
| composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_4920,plain,
( join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != top
| composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4918,refute_1_4919]) ).
cnf(refute_1_4921,plain,
composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),top) )],[refute_1_4917,refute_1_4920]) ).
cnf(refute_1_4922,plain,
composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1))) = composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4923,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))),bind(X_633,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4924,plain,
( composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1))) != composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4925,plain,
( composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1))) != composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4923,refute_1_4924]) ).
cnf(refute_1_4926,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),one),meet(one,complement(skolemFOFtoCNF_X0_1))),composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4922,refute_1_4925]) ).
cnf(refute_1_4927,plain,
( composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4928,plain,
( composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4926,refute_1_4927]) ).
cnf(refute_1_4929,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0_1))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4921,refute_1_4928]) ).
cnf(refute_1_4930,plain,
complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4931,plain,
( complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))
| complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4932,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))
| complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4930,refute_1_4931]) ).
cnf(refute_1_4933,plain,
complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_4929,refute_1_4932]) ).
cnf(refute_1_4934,plain,
meet(complement(meet(X_988,join(X_735,X_988))),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_735,X_988)),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(X_988)),bind(X_981,$fot(join(X_735,X_988)))]]) ).
cnf(refute_1_4935,plain,
X_988 = meet(X_988,join(X_735,X_988)),
inference(subst,[],[refute_1_566:[bind(X_734,$fot(X_988))]]) ).
cnf(refute_1_4936,plain,
( X_988 != meet(X_988,join(X_735,X_988))
| meet(X_988,join(X_735,X_988)) = X_988 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_988)),bind(Y,$fot(meet(X_988,join(X_735,X_988))))]]) ).
cnf(refute_1_4937,plain,
meet(X_988,join(X_735,X_988)) = X_988,
inference(resolve,[$cnf( $equal(X_988,meet(X_988,join(X_735,X_988))) )],[refute_1_4935,refute_1_4936]) ).
cnf(refute_1_4938,plain,
( meet(X_988,join(X_735,X_988)) != X_988
| meet(complement(meet(X_988,join(X_735,X_988))),join(complement(join(X_735,X_988)),X_988)) != complement(join(X_735,X_988))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_735,X_988)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_988,join(X_735,X_988))),join(complement(join(X_735,X_988)),X_988)),complement(join(X_735,X_988))) ),[0,0,0],$fot(X_988)]]) ).
cnf(refute_1_4939,plain,
( meet(complement(meet(X_988,join(X_735,X_988))),join(complement(join(X_735,X_988)),X_988)) != complement(join(X_735,X_988))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_735,X_988)) ),
inference(resolve,[$cnf( $equal(meet(X_988,join(X_735,X_988)),X_988) )],[refute_1_4937,refute_1_4938]) ).
cnf(refute_1_4940,plain,
meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_735,X_988)),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,join(X_735,X_988))),join(complement(join(X_735,X_988)),X_988)),complement(join(X_735,X_988))) )],[refute_1_4934,refute_1_4939]) ).
cnf(refute_1_4941,plain,
join(X_988,meet(complement(X_988),X_735)) = join(X_988,X_735),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(X_735)),bind(X_720,$fot(X_988))]]) ).
cnf(refute_1_4942,plain,
complement(join(X_988,meet(complement(X_988),X_735))) = complement(join(X_988,meet(complement(X_988),X_735))),
introduced(tautology,[refl,[$fot(complement(join(X_988,meet(complement(X_988),X_735))))]]) ).
cnf(refute_1_4943,plain,
( complement(join(X_988,meet(complement(X_988),X_735))) != complement(join(X_988,meet(complement(X_988),X_735)))
| join(X_988,meet(complement(X_988),X_735)) != join(X_988,X_735)
| complement(join(X_988,meet(complement(X_988),X_735))) = complement(join(X_988,X_735)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_988,meet(complement(X_988),X_735))),complement(join(X_988,meet(complement(X_988),X_735)))) ),[1,0],$fot(join(X_988,X_735))]]) ).
cnf(refute_1_4944,plain,
( join(X_988,meet(complement(X_988),X_735)) != join(X_988,X_735)
| complement(join(X_988,meet(complement(X_988),X_735))) = complement(join(X_988,X_735)) ),
inference(resolve,[$cnf( $equal(complement(join(X_988,meet(complement(X_988),X_735))),complement(join(X_988,meet(complement(X_988),X_735)))) )],[refute_1_4942,refute_1_4943]) ).
cnf(refute_1_4945,plain,
complement(join(X_988,meet(complement(X_988),X_735))) = complement(join(X_988,X_735)),
inference(resolve,[$cnf( $equal(join(X_988,meet(complement(X_988),X_735)),join(X_988,X_735)) )],[refute_1_4941,refute_1_4944]) ).
cnf(refute_1_4946,plain,
meet(complement(X_981),join(X_983,complement(X_982))) = complement(join(X_981,complement(join(X_983,complement(X_982))))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(join(X_983,complement(X_982))))]]) ).
cnf(refute_1_4947,plain,
( complement(join(X_983,complement(X_982))) != meet(complement(X_983),X_982)
| meet(complement(X_981),join(X_983,complement(X_982))) != complement(join(X_981,complement(join(X_983,complement(X_982)))))
| meet(complement(X_981),join(X_983,complement(X_982))) = complement(join(X_981,meet(complement(X_983),X_982))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_981),join(X_983,complement(X_982))),complement(join(X_981,complement(join(X_983,complement(X_982)))))) ),[1,0,1],$fot(meet(complement(X_983),X_982))]]) ).
cnf(refute_1_4948,plain,
( meet(complement(X_981),join(X_983,complement(X_982))) != complement(join(X_981,complement(join(X_983,complement(X_982)))))
| meet(complement(X_981),join(X_983,complement(X_982))) = complement(join(X_981,meet(complement(X_983),X_982))) ),
inference(resolve,[$cnf( $equal(complement(join(X_983,complement(X_982))),meet(complement(X_983),X_982)) )],[refute_1_4376,refute_1_4947]) ).
cnf(refute_1_4949,plain,
meet(complement(X_981),join(X_983,complement(X_982))) = complement(join(X_981,meet(complement(X_983),X_982))),
inference(resolve,[$cnf( $equal(meet(complement(X_981),join(X_983,complement(X_982))),complement(join(X_981,complement(join(X_983,complement(X_982)))))) )],[refute_1_4946,refute_1_4948]) ).
cnf(refute_1_4950,plain,
meet(complement(X_988),join(X_988,complement(X_735))) = complement(join(X_988,meet(complement(X_988),X_735))),
inference(subst,[],[refute_1_4949:[bind(X_981,$fot(X_988)),bind(X_982,$fot(X_735)),bind(X_983,$fot(X_988))]]) ).
cnf(refute_1_4951,plain,
( complement(join(X_988,meet(complement(X_988),X_735))) != complement(join(X_988,X_735))
| meet(complement(X_988),join(X_988,complement(X_735))) != complement(join(X_988,meet(complement(X_988),X_735)))
| meet(complement(X_988),join(X_988,complement(X_735))) = complement(join(X_988,X_735)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(X_988),join(X_988,complement(X_735))))),bind(Y,$fot(complement(join(X_988,meet(complement(X_988),X_735))))),bind(Z,$fot(complement(join(X_988,X_735))))]]) ).
cnf(refute_1_4952,plain,
( complement(join(X_988,meet(complement(X_988),X_735))) != complement(join(X_988,X_735))
| meet(complement(X_988),join(X_988,complement(X_735))) = complement(join(X_988,X_735)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_988),join(X_988,complement(X_735))),complement(join(X_988,meet(complement(X_988),X_735)))) )],[refute_1_4950,refute_1_4951]) ).
cnf(refute_1_4953,plain,
meet(complement(X_988),join(X_988,complement(X_735))) = complement(join(X_988,X_735)),
inference(resolve,[$cnf( $equal(complement(join(X_988,meet(complement(X_988),X_735))),complement(join(X_988,X_735))) )],[refute_1_4945,refute_1_4952]) ).
cnf(refute_1_4954,plain,
join(X_988,complement(join(X_735,X_988))) = join(X_988,complement(X_735)),
inference(subst,[],[refute_1_877:[bind(X_744,$fot(X_988)),bind(X_898,$fot(X_735))]]) ).
cnf(refute_1_4955,plain,
join(complement(join(X_735,X_988)),X_988) = join(X_988,complement(join(X_735,X_988))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(complement(join(X_735,X_988)))),bind(X_758,$fot(X_988))]]) ).
cnf(refute_1_4956,plain,
( join(X_988,complement(join(X_735,X_988))) != join(X_988,complement(X_735))
| join(complement(join(X_735,X_988)),X_988) != join(X_988,complement(join(X_735,X_988)))
| join(complement(join(X_735,X_988)),X_988) = join(X_988,complement(X_735)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(X_735,X_988)),X_988))),bind(Y,$fot(join(X_988,complement(join(X_735,X_988))))),bind(Z,$fot(join(X_988,complement(X_735))))]]) ).
cnf(refute_1_4957,plain,
( join(X_988,complement(join(X_735,X_988))) != join(X_988,complement(X_735))
| join(complement(join(X_735,X_988)),X_988) = join(X_988,complement(X_735)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_735,X_988)),X_988),join(X_988,complement(join(X_735,X_988)))) )],[refute_1_4955,refute_1_4956]) ).
cnf(refute_1_4958,plain,
join(complement(join(X_735,X_988)),X_988) = join(X_988,complement(X_735)),
inference(resolve,[$cnf( $equal(join(X_988,complement(join(X_735,X_988))),join(X_988,complement(X_735))) )],[refute_1_4954,refute_1_4957]) ).
cnf(refute_1_4959,plain,
meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),
introduced(tautology,[refl,[$fot(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)))]]) ).
cnf(refute_1_4960,plain,
( join(complement(join(X_735,X_988)),X_988) != join(X_988,complement(X_735))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) != meet(complement(X_988),join(complement(join(X_735,X_988)),X_988))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = meet(complement(X_988),join(X_988,complement(X_735))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),meet(complement(X_988),join(complement(join(X_735,X_988)),X_988))) ),[1,1],$fot(join(X_988,complement(X_735)))]]) ).
cnf(refute_1_4961,plain,
( join(complement(join(X_735,X_988)),X_988) != join(X_988,complement(X_735))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = meet(complement(X_988),join(X_988,complement(X_735))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),meet(complement(X_988),join(complement(join(X_735,X_988)),X_988))) )],[refute_1_4959,refute_1_4960]) ).
cnf(refute_1_4962,plain,
meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = meet(complement(X_988),join(X_988,complement(X_735))),
inference(resolve,[$cnf( $equal(join(complement(join(X_735,X_988)),X_988),join(X_988,complement(X_735))) )],[refute_1_4958,refute_1_4961]) ).
cnf(refute_1_4963,plain,
( meet(complement(X_988),join(X_988,complement(X_735))) != complement(join(X_988,X_735))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) != meet(complement(X_988),join(X_988,complement(X_735)))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_988,X_735)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)))),bind(Y,$fot(meet(complement(X_988),join(X_988,complement(X_735))))),bind(Z,$fot(complement(join(X_988,X_735))))]]) ).
cnf(refute_1_4964,plain,
( meet(complement(X_988),join(X_988,complement(X_735))) != complement(join(X_988,X_735))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_988,X_735)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),meet(complement(X_988),join(X_988,complement(X_735)))) )],[refute_1_4962,refute_1_4963]) ).
cnf(refute_1_4965,plain,
meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) = complement(join(X_988,X_735)),
inference(resolve,[$cnf( $equal(meet(complement(X_988),join(X_988,complement(X_735))),complement(join(X_988,X_735))) )],[refute_1_4953,refute_1_4964]) ).
cnf(refute_1_4966,plain,
( meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) != complement(join(X_735,X_988))
| meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) != complement(join(X_988,X_735))
| complement(join(X_988,X_735)) = complement(join(X_735,X_988)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),complement(join(X_735,X_988))) ),[0],$fot(complement(join(X_988,X_735)))]]) ).
cnf(refute_1_4967,plain,
( meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)) != complement(join(X_735,X_988))
| complement(join(X_988,X_735)) = complement(join(X_735,X_988)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),complement(join(X_988,X_735))) )],[refute_1_4965,refute_1_4966]) ).
cnf(refute_1_4968,plain,
complement(join(X_988,X_735)) = complement(join(X_735,X_988)),
inference(resolve,[$cnf( $equal(meet(complement(X_988),join(complement(join(X_735,X_988)),X_988)),complement(join(X_735,X_988))) )],[refute_1_4940,refute_1_4967]) ).
cnf(refute_1_4969,plain,
( complement(join(X_988,X_735)) != complement(join(X_735,X_988))
| complement(join(X_735,X_988)) = complement(join(X_988,X_735)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(join(X_988,X_735)))),bind(Y,$fot(complement(join(X_735,X_988))))]]) ).
cnf(refute_1_4970,plain,
complement(join(X_735,X_988)) = complement(join(X_988,X_735)),
inference(resolve,[$cnf( $equal(complement(join(X_988,X_735)),complement(join(X_735,X_988))) )],[refute_1_4968,refute_1_4969]) ).
cnf(refute_1_4971,plain,
complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_4970:[bind(X_735,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_988,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_4972,plain,
meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_4269:[bind(X_675,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_983,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4973,plain,
( complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4974,plain,
( complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4972,refute_1_4973]) ).
cnf(refute_1_4975,plain,
meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(join(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4971,refute_1_4974]) ).
cnf(refute_1_4976,plain,
( complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4977,plain,
( complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4975,refute_1_4976]) ).
cnf(refute_1_4978,plain,
meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(join(meet(one,complement(skolemFOFtoCNF_X0_1)),composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4933,refute_1_4977]) ).
cnf(refute_1_4979,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4980,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4981,plain,
( meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4979,refute_1_4980]) ).
cnf(refute_1_4982,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4978,refute_1_4981]) ).
cnf(refute_1_4983,plain,
( complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4984,plain,
( complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4982,refute_1_4983]) ).
cnf(refute_1_4985,plain,
complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4898,refute_1_4984]) ).
cnf(refute_1_4986,plain,
( complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_4987,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4985,refute_1_4986]) ).
cnf(refute_1_4988,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0,1],$fot(complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4989,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4987,refute_1_4988]) ).
cnf(refute_1_4990,plain,
join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4657,refute_1_4989]) ).
cnf(refute_1_4991,plain,
join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4992,plain,
( complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(top))]]) ).
cnf(refute_1_4993,plain,
( complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4991,refute_1_4992]) ).
cnf(refute_1_4994,plain,
join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) = top,
inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_4751,refute_1_4993]) ).
cnf(refute_1_4995,plain,
( join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| top = join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(top)]]) ).
cnf(refute_1_4996,plain,
( join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| top = join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_4994,refute_1_4995]) ).
cnf(refute_1_4997,plain,
join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_4998,plain,
( join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| top != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| top = complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1],$fot(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_4999,plain,
( top != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| top = complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4997,refute_1_4998]) ).
cnf(refute_1_5000,plain,
( join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| top = complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4996,refute_1_4999]) ).
cnf(refute_1_5001,plain,
top = complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(converse(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(skolemFOFtoCNF_X0_1),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4990,refute_1_5000]) ).
cnf(refute_1_5002,plain,
( top != complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5003,plain,
complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5001,refute_1_5002]) ).
cnf(refute_1_5004,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5005,plain,
( complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_5006,plain,
( complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != top
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5004,refute_1_5005]) ).
cnf(refute_1_5007,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_5003,refute_1_5006]) ).
cnf(refute_1_5008,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5009,plain,
( meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5007,refute_1_5008]) ).
cnf(refute_1_5010,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_4632,refute_1_5009]) ).
cnf(refute_1_5011,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(skolemFOFtoCNF_X0_1)
| meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(skolemFOFtoCNF_X0_1)) ),[0],$fot(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5012,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(skolemFOFtoCNF_X0_1)
| join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5010,refute_1_5011]) ).
cnf(refute_1_5013,plain,
join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_4631,refute_1_5012]) ).
cnf(refute_1_5014,plain,
meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5015,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(skolemFOFtoCNF_X0_1)
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5016,plain,
( join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(skolemFOFtoCNF_X0_1)
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5014,refute_1_5015]) ).
cnf(refute_1_5017,plain,
meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_5013,refute_1_5016]) ).
cnf(refute_1_5018,plain,
( meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5019,plain,
( meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_5017,refute_1_5018]) ).
cnf(refute_1_5020,plain,
meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4599,refute_1_5019]) ).
cnf(refute_1_5021,plain,
complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5022,plain,
( complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5023,plain,
( meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5021,refute_1_5022]) ).
cnf(refute_1_5024,plain,
complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5020,refute_1_5023]) ).
cnf(refute_1_5025,plain,
( complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5026,plain,
( complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5024,refute_1_5025]) ).
cnf(refute_1_5027,plain,
complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_4598,refute_1_5026]) ).
cnf(refute_1_5028,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5029,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5027,refute_1_5028]) ).
cnf(refute_1_5030,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(join(skolemFOFtoCNF_X0_1,composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(one),composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_4300,refute_1_5029]) ).
cnf(refute_1_5031,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5032,plain,
join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5030,refute_1_5031]) ).
cnf(refute_1_5033,plain,
( composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) != zero
| join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))),zero) ),[0,1,0,0,1],$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5034,plain,
( composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) != zero
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = zero ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5032,refute_1_5033]) ).
cnf(refute_1_5035,plain,
composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))),zero) )],[refute_1_4146,refute_1_5034]) ).
cnf(refute_1_5036,plain,
complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5037,plain,
converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1018:[bind(X_937,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5038,plain,
composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_3745:[bind(X_1136,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5039,plain,
converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5040,plain,
( composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5041,plain,
( composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5039,refute_1_5040]) ).
cnf(refute_1_5042,plain,
converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5038,refute_1_5041]) ).
cnf(refute_1_5043,plain,
( converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5044,plain,
( converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5042,refute_1_5043]) ).
cnf(refute_1_5045,plain,
converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5037,refute_1_5044]) ).
cnf(refute_1_5046,plain,
complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_5047,plain,
( complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),[1,0],$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5048,plain,
( converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_5046,refute_1_5047]) ).
cnf(refute_1_5049,plain,
complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5045,refute_1_5048]) ).
cnf(refute_1_5050,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))),bind(Y,$fot(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5051,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5049,refute_1_5050]) ).
cnf(refute_1_5052,plain,
complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5036,refute_1_5051]) ).
cnf(refute_1_5053,plain,
composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_5054,plain,
( complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) ),[1,1],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5055,plain,
( complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))
| composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_5053,refute_1_5054]) ).
cnf(refute_1_5056,plain,
composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5052,refute_1_5055]) ).
cnf(refute_1_5057,plain,
composition(join(X0,X1),complement(converse(composition(top,X1)))) = join(composition(X0,complement(converse(composition(top,X1)))),composition(X1,complement(converse(composition(top,X1))))),
inference(subst,[],[refute_1_163:[bind(X2,$fot(complement(converse(composition(top,X1)))))]]) ).
cnf(refute_1_5058,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = composition(X0,complement(composition(converse(X0),top))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(composition(X0,complement(composition(converse(X0),top)))))]]) ).
cnf(refute_1_5059,plain,
( join(zero,composition(X0,complement(composition(converse(X0),top)))) != composition(X0,complement(composition(converse(X0),top)))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) != zero
| composition(X0,complement(composition(converse(X0),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),zero) ),[0],$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_1_5060,plain,
( join(zero,composition(X0,complement(composition(converse(X0),top)))) != zero
| composition(X0,complement(composition(converse(X0),top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_1_5058,refute_1_5059]) ).
cnf(refute_1_5061,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),zero) )],[refute_1_4125,refute_1_5060]) ).
cnf(refute_1_5062,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_1_5063,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_1_5064,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_1_5062,refute_1_5063]) ).
cnf(refute_1_5065,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_1_3350,refute_1_5064]) ).
cnf(refute_1_5066,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_1_5067,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(composition(converse(X0),top)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) ),[1,1],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_1_5068,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_1_5066,refute_1_5067]) ).
cnf(refute_1_5069,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_1_5065,refute_1_5068]) ).
cnf(refute_1_5070,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) ),[0],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_1_5071,plain,
( composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_1_5069,refute_1_5070]) ).
cnf(refute_1_5072,plain,
composition(X0,complement(converse(composition(top,X0)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) )],[refute_1_5061,refute_1_5071]) ).
cnf(refute_1_5073,plain,
composition(X1,complement(converse(composition(top,X1)))) = zero,
inference(subst,[],[refute_1_5072:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_5074,plain,
( composition(X1,complement(converse(composition(top,X1)))) != zero
| composition(join(X0,X1),complement(converse(composition(top,X1)))) != join(composition(X0,complement(converse(composition(top,X1)))),composition(X1,complement(converse(composition(top,X1)))))
| composition(join(X0,X1),complement(converse(composition(top,X1)))) = join(composition(X0,complement(converse(composition(top,X1)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),complement(converse(composition(top,X1)))),join(composition(X0,complement(converse(composition(top,X1)))),composition(X1,complement(converse(composition(top,X1)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_5075,plain,
( composition(join(X0,X1),complement(converse(composition(top,X1)))) != join(composition(X0,complement(converse(composition(top,X1)))),composition(X1,complement(converse(composition(top,X1)))))
| composition(join(X0,X1),complement(converse(composition(top,X1)))) = join(composition(X0,complement(converse(composition(top,X1)))),zero) ),
inference(resolve,[$cnf( $equal(composition(X1,complement(converse(composition(top,X1)))),zero) )],[refute_1_5073,refute_1_5074]) ).
cnf(refute_1_5076,plain,
composition(join(X0,X1),complement(converse(composition(top,X1)))) = join(composition(X0,complement(converse(composition(top,X1)))),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),complement(converse(composition(top,X1)))),join(composition(X0,complement(converse(composition(top,X1)))),composition(X1,complement(converse(composition(top,X1)))))) )],[refute_1_5057,refute_1_5075]) ).
cnf(refute_1_5077,plain,
join(composition(X0,complement(converse(composition(top,X1)))),zero) = composition(X0,complement(converse(composition(top,X1)))),
inference(subst,[],[refute_1_1534:[bind(X1,$fot(composition(X0,complement(converse(composition(top,X1))))))]]) ).
cnf(refute_1_5078,plain,
( composition(join(X0,X1),complement(converse(composition(top,X1)))) != join(composition(X0,complement(converse(composition(top,X1)))),zero)
| join(composition(X0,complement(converse(composition(top,X1)))),zero) != composition(X0,complement(converse(composition(top,X1))))
| composition(join(X0,X1),complement(converse(composition(top,X1)))) = composition(X0,complement(converse(composition(top,X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),complement(converse(composition(top,X1)))),composition(X0,complement(converse(composition(top,X1))))) ),[0],$fot(join(composition(X0,complement(converse(composition(top,X1)))),zero))]]) ).
cnf(refute_1_5079,plain,
( composition(join(X0,X1),complement(converse(composition(top,X1)))) != join(composition(X0,complement(converse(composition(top,X1)))),zero)
| composition(join(X0,X1),complement(converse(composition(top,X1)))) = composition(X0,complement(converse(composition(top,X1)))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,complement(converse(composition(top,X1)))),zero),composition(X0,complement(converse(composition(top,X1))))) )],[refute_1_5077,refute_1_5078]) ).
cnf(refute_1_5080,plain,
composition(join(X0,X1),complement(converse(composition(top,X1)))) = composition(X0,complement(converse(composition(top,X1)))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),complement(converse(composition(top,X1)))),join(composition(X0,complement(converse(composition(top,X1)))),zero)) )],[refute_1_5076,refute_1_5079]) ).
cnf(refute_1_5081,plain,
composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_5080:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5082,plain,
composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(X2,$fot(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_5083,plain,
( composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_5084,plain,
( composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_5082,refute_1_5083]) ).
cnf(refute_1_5085,plain,
composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_5081,refute_1_5084]) ).
cnf(refute_1_5086,plain,
( composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))
| composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5087,plain,
( composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_5085,refute_1_5086]) ).
cnf(refute_1_5088,plain,
composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) = composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5056,refute_1_5087]) ).
cnf(refute_1_5089,plain,
( composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != zero
| composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),zero) ),[0],$fot(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5090,plain,
( composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))) != zero
| composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5088,refute_1_5089]) ).
cnf(refute_1_5091,plain,
composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),zero) )],[refute_1_5035,refute_1_5090]) ).
cnf(refute_1_5092,plain,
( composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))) != zero
| converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| converse(zero) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))) ),[0,0],$fot(zero)]]) ).
cnf(refute_1_5093,plain,
( converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| converse(zero) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),zero) )],[refute_1_5091,refute_1_5092]) ).
cnf(refute_1_5094,plain,
converse(zero) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_4121,refute_1_5093]) ).
cnf(refute_1_5095,plain,
( converse(zero) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| converse(zero) != zero
| zero = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))) ),[0],$fot(zero)]]) ).
cnf(refute_1_5096,plain,
( converse(zero) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| zero = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_1_1596,refute_1_5095]) ).
cnf(refute_1_5097,plain,
composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_235:[bind(X0,$fot(top)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X2,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5098,plain,
converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_161:[bind(X0,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_595,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5099,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))
| converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5100,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5098,refute_1_5099]) ).
cnf(refute_1_5101,plain,
converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5097,refute_1_5100]) ).
cnf(refute_1_5102,plain,
composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) = converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_1022:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5103,plain,
( composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) != converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))
| converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5104,plain,
( converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)),converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5102,refute_1_5103]) ).
cnf(refute_1_5105,plain,
composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0_1,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1)))))),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5101,refute_1_5104]) ).
cnf(refute_1_5106,plain,
( composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| zero != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))) ),[1],$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5107,plain,
( zero != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5105,refute_1_5106]) ).
cnf(refute_1_5108,plain,
( converse(zero) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))
| zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5096,refute_1_5107]) ).
cnf(refute_1_5109,plain,
zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0_1))))),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5094,refute_1_5108]) ).
cnf(refute_1_5110,plain,
( zero != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5111,plain,
composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5109,refute_1_5110]) ).
cnf(refute_1_5112,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))
| composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != zero
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_5113,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) ),
inference(resolve,[$cnf( $equal(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_5111,refute_1_5112]) ).
cnf(refute_1_5114,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_4120,refute_1_5113]) ).
cnf(refute_1_5115,plain,
composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5116,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| join(one,top) != top
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_5117,plain,
( join(one,top) != top
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5115,refute_1_5116]) ).
cnf(refute_1_5118,plain,
composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_5117]) ).
cnf(refute_1_5119,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != zero
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5120,plain,
( composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != zero
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5118,refute_1_5119]) ).
cnf(refute_1_5121,plain,
composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero,
inference(resolve,[$cnf( $equal(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_5111,refute_1_5120]) ).
cnf(refute_1_5122,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(top)),bind(X2,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5123,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != zero
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5124,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != zero
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5122,refute_1_5123]) ).
cnf(refute_1_5125,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = zero,
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_5121,refute_1_5124]) ).
cnf(refute_1_5126,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != zero
| zero = join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_1_5127,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)
| zero = join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_5125,refute_1_5126]) ).
cnf(refute_1_5128,plain,
join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5129,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) = join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),bind(X_758,$fot(zero))]]) ).
cnf(refute_1_5130,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) != join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero))),bind(Y,$fot(join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5131,plain,
( join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero),join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5129,refute_1_5130]) ).
cnf(refute_1_5132,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5128,refute_1_5131]) ).
cnf(refute_1_5133,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) != composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))
| zero != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)) ),[1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5134,plain,
( zero != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5132,refute_1_5133]) ).
cnf(refute_1_5135,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(zero,join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)) )],[refute_1_5127,refute_1_5134]) ).
cnf(refute_1_5136,plain,
zero = composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),join(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero)) )],[refute_1_5114,refute_1_5135]) ).
cnf(refute_1_5137,plain,
( zero != composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))
| composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5138,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5136,refute_1_5137]) ).
cnf(refute_1_5139,plain,
complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5140,plain,
( complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))
| composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) != zero
| complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_5141,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)) != zero
| complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5139,refute_1_5140]) ).
cnf(refute_1_5142,plain,
complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = complement(zero),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)),zero) )],[refute_1_5138,refute_1_5141]) ).
cnf(refute_1_5143,plain,
( complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != complement(zero)
| complement(zero) != top
| complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_1_5144,plain,
( complement(zero) != top
| complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = top ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),complement(zero)) )],[refute_1_5142,refute_1_5143]) ).
cnf(refute_1_5145,plain,
complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_5144]) ).
cnf(refute_1_5146,plain,
join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5147,plain,
( complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != top
| join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) != join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))
| join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_5148,plain,
( complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))) != top
| join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_5146,refute_1_5147]) ).
cnf(refute_1_5149,plain,
join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = join(one,top),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1))),top) )],[refute_1_5145,refute_1_5148]) ).
cnf(refute_1_5150,plain,
( join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) != join(one,top)
| join(one,top) != top
| join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_5151,plain,
( join(one,top) != top
| join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),join(one,top)) )],[refute_1_5149,refute_1_5150]) ).
cnf(refute_1_5152,plain,
join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_5151]) ).
cnf(refute_1_5153,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5154,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)
| join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) != top
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) = composition(top,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_5155,plain,
( join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))) != top
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) = composition(top,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) )],[refute_1_5153,refute_1_5154]) ).
cnf(refute_1_5156,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) = composition(top,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_5152,refute_1_5155]) ).
cnf(refute_1_5157,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5158,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != composition(top,skolemFOFtoCNF_X0_1)
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = converse(composition(top,skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5159,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) != composition(top,skolemFOFtoCNF_X0_1)
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = converse(composition(top,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) )],[refute_1_5157,refute_1_5158]) ).
cnf(refute_1_5160,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) = converse(composition(top,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1),composition(top,skolemFOFtoCNF_X0_1)) )],[refute_1_5156,refute_1_5159]) ).
cnf(refute_1_5161,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != converse(composition(top,skolemFOFtoCNF_X0_1))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) ),[0],$fot(converse(composition(top,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5162,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(composition(top,skolemFOFtoCNF_X0_1))) )],[refute_1_5160,refute_1_5161]) ).
cnf(refute_1_5163,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(converse(composition(top,skolemFOFtoCNF_X0_1)))),bind(X_602,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_5164,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5165,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != converse(composition(top,skolemFOFtoCNF_X0_1))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(converse(composition(top,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5166,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != converse(composition(top,skolemFOFtoCNF_X0_1))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) )],[refute_1_5164,refute_1_5165]) ).
cnf(refute_1_5167,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),converse(composition(top,skolemFOFtoCNF_X0_1))) )],[refute_1_5160,refute_1_5166]) ).
cnf(refute_1_5168,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1)))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_5169,plain,
( meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1)))) )],[refute_1_5167,refute_1_5168]) ).
cnf(refute_1_5170,plain,
meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(top,skolemFOFtoCNF_X0_1))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_5163,refute_1_5169]) ).
cnf(refute_1_5171,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[0],$fot(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5172,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_5170,refute_1_5171]) ).
cnf(refute_1_5173,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)) != meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) )],[refute_1_5162,refute_1_5172]) ).
cnf(refute_1_5174,plain,
converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)),meet(converse(join(skolemFOFtoCNF_X0_1,complement(one))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1)))) )],[refute_1_4119,refute_1_5173]) ).
cnf(refute_1_5175,plain,
meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),X_988)) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(X_988)),bind(X_981,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5176,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),X_988)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),X_988)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0,1,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5177,plain,
( meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),X_988)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4019,refute_1_5176]) ).
cnf(refute_1_5178,plain,
meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),X_988)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5175,refute_1_5177]) ).
cnf(refute_1_5179,plain,
join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),
inference(subst,[],[refute_1_4073:[bind(X2,$fot(X_988))]]) ).
cnf(refute_1_5180,plain,
meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5181,plain,
( join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988))
| meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)))]]) ).
cnf(refute_1_5182,plain,
( join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988))
| meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5180,refute_1_5181]) ).
cnf(refute_1_5183,plain,
meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988))) )],[refute_1_5179,refute_1_5182]) ).
cnf(refute_1_5184,plain,
meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988))),bind(X_602,$fot(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5185,plain,
( meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) != meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)))),bind(Y,$fot(meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_5186,plain,
( meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)),meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5184,refute_1_5185]) ).
cnf(refute_1_5187,plain,
meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(meet(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5183,refute_1_5186]) ).
cnf(refute_1_5188,plain,
( meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) != meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5189,plain,
( meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5187,refute_1_5188]) ).
cnf(refute_1_5190,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5191,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4019,refute_1_5190]) ).
cnf(refute_1_5192,plain,
( meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5189,refute_1_5191]) ).
cnf(refute_1_5193,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X_988)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5178,refute_1_5192]) ).
cnf(refute_1_5194,plain,
join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(subst,[],[refute_1_1175:[bind(X_675,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_5195,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))))]]) ).
cnf(refute_1_5196,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(subst,[],[refute_1_4083:[bind(X_953,$fot(X_1144))]]) ).
cnf(refute_1_5197,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),X2)
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),X2)) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5198,plain,
( join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),X2)
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_5196,refute_1_5197]) ).
cnf(refute_1_5199,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),X2)) )],[refute_1_5195,refute_1_5198]) ).
cnf(refute_1_5200,plain,
join(X0,join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))))) = join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)),
inference(subst,[],[refute_1_676:[bind(X_727,$fot(complement(one))),bind(X_728,$fot(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))))]]) ).
cnf(refute_1_5201,plain,
( join(X0,join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))))) != join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))))),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))) ),[0,1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5202,plain,
( join(X0,join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))))) != join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))
| join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_5196,refute_1_5201]) ).
cnf(refute_1_5203,plain,
join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(one),join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))))),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))) )],[refute_1_5200,refute_1_5202]) ).
cnf(refute_1_5204,plain,
join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0) = join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X1,$fot(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))))),bind(X2,$fot(X0))]]) ).
cnf(refute_1_5205,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) = join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)),
introduced(tautology,[refl,[$fot(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)))]]) ).
cnf(refute_1_5206,plain,
( join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) != join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))
| join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0) != join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))]]) ).
cnf(refute_1_5207,plain,
( join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0) != join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))) )],[refute_1_5205,refute_1_5206]) ).
cnf(refute_1_5208,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) )],[refute_1_5204,refute_1_5207]) ).
cnf(refute_1_5209,plain,
( join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))
| join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))) ),[0],$fot(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)))]]) ).
cnf(refute_1_5210,plain,
( join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))
| join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0)),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))) )],[refute_1_5208,refute_1_5209]) ).
cnf(refute_1_5211,plain,
join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X0))) )],[refute_1_5203,refute_1_5210]) ).
cnf(refute_1_5212,plain,
( join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) = join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))))]]) ).
cnf(refute_1_5213,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0))) = join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X0)))) )],[refute_1_5211,refute_1_5212]) ).
cnf(refute_1_5214,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))) = join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(subst,[],[refute_1_5213:[bind(X0,$fot(X2))]]) ).
cnf(refute_1_5215,plain,
join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2) = join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X1,$fot(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))))]]) ).
cnf(refute_1_5216,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),
introduced(tautology,[refl,[$fot(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)))]]) ).
cnf(refute_1_5217,plain,
( join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2))
| join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2) != join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2)))]]) ).
cnf(refute_1_5218,plain,
( join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2) != join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2))) )],[refute_1_5216,refute_1_5217]) ).
cnf(refute_1_5219,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))) )],[refute_1_5215,refute_1_5218]) ).
cnf(refute_1_5220,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))) != join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2)))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))))),bind(Z,$fot(join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_5221,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))) != join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2)))) )],[refute_1_5219,refute_1_5220]) ).
cnf(refute_1_5222,plain,
join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) = join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),join(composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144)))),X2))),join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_5214,refute_1_5221]) ).
cnf(refute_1_5223,plain,
( join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)) ),[0],$fot(join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_5224,plain,
( join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_5222,refute_1_5223]) ).
cnf(refute_1_5225,plain,
( join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2))
| join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2))) ),[0],$fot(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2))]]) ).
cnf(refute_1_5226,plain,
( join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2))) )],[refute_1_4073,refute_1_5225]) ).
cnf(refute_1_5227,plain,
( join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)) != join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)
| join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)) ),
inference(resolve,[$cnf( $equal(join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)) )],[refute_1_5224,refute_1_5226]) ).
cnf(refute_1_5228,plain,
join(X2,converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X2)),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(skolemFOFtoCNF_X0_1),composition(X_1144,complement(converse(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1144))))),X2)),join(converse(join(skolemFOFtoCNF_X0_1,complement(one))),X2)) )],[refute_1_5199,refute_1_5227]) ).
cnf(refute_1_5229,plain,
join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))),
inference(subst,[],[refute_1_5228:[bind(X2,$fot(complement(X_1010)))]]) ).
cnf(refute_1_5230,plain,
( join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) = complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))))]]) ).
cnf(refute_1_5231,plain,
( join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) = complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010)))) )],[refute_1_5229,refute_1_5230]) ).
cnf(refute_1_5232,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) = complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_5194,refute_1_5231]) ).
cnf(refute_1_5233,plain,
join(complement(meet(X_1030,complement(X_1031))),complement(X1)) = complement(meet(meet(X_1030,complement(X_1031)),X1)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(meet(X_1030,complement(X_1031))))]]) ).
cnf(refute_1_5234,plain,
( complement(meet(X_1030,complement(X_1031))) != join(complement(X_1030),X_1031)
| join(complement(meet(X_1030,complement(X_1031))),complement(X1)) != complement(meet(meet(X_1030,complement(X_1031)),X1))
| join(join(complement(X_1030),X_1031),complement(X1)) = complement(meet(meet(X_1030,complement(X_1031)),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(X_1030,complement(X_1031))),complement(X1)),complement(meet(meet(X_1030,complement(X_1031)),X1))) ),[0,0],$fot(join(complement(X_1030),X_1031))]]) ).
cnf(refute_1_5235,plain,
( join(complement(meet(X_1030,complement(X_1031))),complement(X1)) != complement(meet(meet(X_1030,complement(X_1031)),X1))
| join(join(complement(X_1030),X_1031),complement(X1)) = complement(meet(meet(X_1030,complement(X_1031)),X1)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1030,complement(X_1031))),join(complement(X_1030),X_1031)) )],[refute_1_3986,refute_1_5234]) ).
cnf(refute_1_5236,plain,
join(join(complement(X_1030),X_1031),complement(X1)) = complement(meet(meet(X_1030,complement(X_1031)),X1)),
inference(resolve,[$cnf( $equal(join(complement(meet(X_1030,complement(X_1031))),complement(X1)),complement(meet(meet(X_1030,complement(X_1031)),X1))) )],[refute_1_5233,refute_1_5235]) ).
cnf(refute_1_5237,plain,
join(join(complement(X_1030),X_1031),complement(X1)) = join(complement(X_1030),join(X_1031,complement(X1))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(complement(X_1030))),bind(X1,$fot(X_1031)),bind(X2,$fot(complement(X1)))]]) ).
cnf(refute_1_5238,plain,
( join(join(complement(X_1030),X_1031),complement(X1)) != complement(meet(meet(X_1030,complement(X_1031)),X1))
| join(join(complement(X_1030),X_1031),complement(X1)) != join(complement(X_1030),join(X_1031,complement(X1)))
| join(complement(X_1030),join(X_1031,complement(X1))) = complement(meet(meet(X_1030,complement(X_1031)),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_1030),X_1031),complement(X1)),complement(meet(meet(X_1030,complement(X_1031)),X1))) ),[0],$fot(join(complement(X_1030),join(X_1031,complement(X1))))]]) ).
cnf(refute_1_5239,plain,
( join(join(complement(X_1030),X_1031),complement(X1)) != complement(meet(meet(X_1030,complement(X_1031)),X1))
| join(complement(X_1030),join(X_1031,complement(X1))) = complement(meet(meet(X_1030,complement(X_1031)),X1)) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_1030),X_1031),complement(X1)),join(complement(X_1030),join(X_1031,complement(X1)))) )],[refute_1_5237,refute_1_5238]) ).
cnf(refute_1_5240,plain,
join(complement(X_1030),join(X_1031,complement(X1))) = complement(meet(meet(X_1030,complement(X_1031)),X1)),
inference(resolve,[$cnf( $equal(join(join(complement(X_1030),X_1031),complement(X1)),complement(meet(meet(X_1030,complement(X_1031)),X1))) )],[refute_1_5236,refute_1_5239]) ).
cnf(refute_1_5241,plain,
join(complement(X_1030),join(X_981,complement(X_979))) = complement(meet(X_1030,complement(join(X_981,complement(X_979))))),
inference(subst,[],[refute_1_1175:[bind(X_1010,$fot(X_1030)),bind(X_675,$fot(join(X_981,complement(X_979))))]]) ).
cnf(refute_1_5242,plain,
( complement(join(X_981,complement(X_979))) != meet(complement(X_981),X_979)
| join(complement(X_1030),join(X_981,complement(X_979))) != complement(meet(X_1030,complement(join(X_981,complement(X_979)))))
| join(complement(X_1030),join(X_981,complement(X_979))) = complement(meet(X_1030,meet(complement(X_981),X_979))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1030),join(X_981,complement(X_979))),complement(meet(X_1030,complement(join(X_981,complement(X_979)))))) ),[1,0,1],$fot(meet(complement(X_981),X_979))]]) ).
cnf(refute_1_5243,plain,
( join(complement(X_1030),join(X_981,complement(X_979))) != complement(meet(X_1030,complement(join(X_981,complement(X_979)))))
| join(complement(X_1030),join(X_981,complement(X_979))) = complement(meet(X_1030,meet(complement(X_981),X_979))) ),
inference(resolve,[$cnf( $equal(complement(join(X_981,complement(X_979))),meet(complement(X_981),X_979)) )],[refute_1_3255,refute_1_5242]) ).
cnf(refute_1_5244,plain,
join(complement(X_1030),join(X_981,complement(X_979))) = complement(meet(X_1030,meet(complement(X_981),X_979))),
inference(resolve,[$cnf( $equal(join(complement(X_1030),join(X_981,complement(X_979))),complement(meet(X_1030,complement(join(X_981,complement(X_979)))))) )],[refute_1_5241,refute_1_5243]) ).
cnf(refute_1_5245,plain,
join(complement(X_1030),join(X_981,complement(X_979))) = complement(meet(meet(X_1030,complement(X_981)),X_979)),
inference(subst,[],[refute_1_5240:[bind(X1,$fot(X_979)),bind(X_1031,$fot(X_981))]]) ).
cnf(refute_1_5246,plain,
( join(complement(X_1030),join(X_981,complement(X_979))) != complement(meet(X_1030,meet(complement(X_981),X_979)))
| join(complement(X_1030),join(X_981,complement(X_979))) != complement(meet(meet(X_1030,complement(X_981)),X_979))
| complement(meet(meet(X_1030,complement(X_981)),X_979)) = complement(meet(X_1030,meet(complement(X_981),X_979))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1030),join(X_981,complement(X_979))),complement(meet(X_1030,meet(complement(X_981),X_979)))) ),[0],$fot(complement(meet(meet(X_1030,complement(X_981)),X_979)))]]) ).
cnf(refute_1_5247,plain,
( join(complement(X_1030),join(X_981,complement(X_979))) != complement(meet(X_1030,meet(complement(X_981),X_979)))
| complement(meet(meet(X_1030,complement(X_981)),X_979)) = complement(meet(X_1030,meet(complement(X_981),X_979))) ),
inference(resolve,[$cnf( $equal(join(complement(X_1030),join(X_981,complement(X_979))),complement(meet(meet(X_1030,complement(X_981)),X_979))) )],[refute_1_5245,refute_1_5246]) ).
cnf(refute_1_5248,plain,
complement(meet(meet(X_1030,complement(X_981)),X_979)) = complement(meet(X_1030,meet(complement(X_981),X_979))),
inference(resolve,[$cnf( $equal(join(complement(X_1030),join(X_981,complement(X_979))),complement(meet(X_1030,meet(complement(X_981),X_979)))) )],[refute_1_5244,refute_1_5247]) ).
cnf(refute_1_5249,plain,
complement(meet(meet(X_1030,complement(X_1031)),X1)) = complement(meet(X_1030,meet(complement(X_1031),X1))),
inference(subst,[],[refute_1_5248:[bind(X_979,$fot(X1)),bind(X_981,$fot(X_1031))]]) ).
cnf(refute_1_5250,plain,
( complement(meet(meet(X_1030,complement(X_1031)),X1)) != complement(meet(X_1030,meet(complement(X_1031),X1)))
| join(complement(X_1030),join(X_1031,complement(X1))) != complement(meet(meet(X_1030,complement(X_1031)),X1))
| join(complement(X_1030),join(X_1031,complement(X1))) = complement(meet(X_1030,meet(complement(X_1031),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1030),join(X_1031,complement(X1))),complement(meet(meet(X_1030,complement(X_1031)),X1))) ),[1],$fot(complement(meet(X_1030,meet(complement(X_1031),X1))))]]) ).
cnf(refute_1_5251,plain,
( join(complement(X_1030),join(X_1031,complement(X1))) != complement(meet(meet(X_1030,complement(X_1031)),X1))
| join(complement(X_1030),join(X_1031,complement(X1))) = complement(meet(X_1030,meet(complement(X_1031),X1))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_1030,complement(X_1031)),X1)),complement(meet(X_1030,meet(complement(X_1031),X1)))) )],[refute_1_5249,refute_1_5250]) ).
cnf(refute_1_5252,plain,
join(complement(X_1030),join(X_1031,complement(X1))) = complement(meet(X_1030,meet(complement(X_1031),X1))),
inference(resolve,[$cnf( $equal(join(complement(X_1030),join(X_1031,complement(X1))),complement(meet(meet(X_1030,complement(X_1031)),X1))) )],[refute_1_5240,refute_1_5251]) ).
cnf(refute_1_5253,plain,
join(complement(X1),join(X_1052,complement(X0))) = join(X_1052,join(complement(X0),complement(X1))),
inference(subst,[],[refute_1_676:[bind(X0,$fot(complement(X1))),bind(X_727,$fot(X_1052)),bind(X_728,$fot(complement(X0)))]]) ).
cnf(refute_1_5254,plain,
( join(complement(X0),complement(X1)) != complement(meet(X0,X1))
| join(complement(X1),join(X_1052,complement(X0))) != join(X_1052,join(complement(X0),complement(X1)))
| join(complement(X1),join(X_1052,complement(X0))) = join(X_1052,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),join(X_1052,complement(X0))),join(X_1052,join(complement(X0),complement(X1)))) ),[1,1],$fot(complement(meet(X0,X1)))]]) ).
cnf(refute_1_5255,plain,
( join(complement(X1),join(X_1052,complement(X0))) != join(X_1052,join(complement(X0),complement(X1)))
| join(complement(X1),join(X_1052,complement(X0))) = join(X_1052,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) )],[refute_1_1124,refute_1_5254]) ).
cnf(refute_1_5256,plain,
join(complement(X1),join(X_1052,complement(X0))) = join(X_1052,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X1),join(X_1052,complement(X0))),join(X_1052,join(complement(X0),complement(X1)))) )],[refute_1_5253,refute_1_5255]) ).
cnf(refute_1_5257,plain,
join(complement(X1),join(X_1052,complement(X0))) = complement(meet(X1,meet(complement(X_1052),X0))),
inference(subst,[],[refute_1_5252:[bind(X1,$fot(X0)),bind(X_1030,$fot(X1)),bind(X_1031,$fot(X_1052))]]) ).
cnf(refute_1_5258,plain,
( join(complement(X1),join(X_1052,complement(X0))) != complement(meet(X1,meet(complement(X_1052),X0)))
| join(complement(X1),join(X_1052,complement(X0))) != join(X_1052,complement(meet(X0,X1)))
| complement(meet(X1,meet(complement(X_1052),X0))) = join(X_1052,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),join(X_1052,complement(X0))),join(X_1052,complement(meet(X0,X1)))) ),[0],$fot(complement(meet(X1,meet(complement(X_1052),X0))))]]) ).
cnf(refute_1_5259,plain,
( join(complement(X1),join(X_1052,complement(X0))) != join(X_1052,complement(meet(X0,X1)))
| complement(meet(X1,meet(complement(X_1052),X0))) = join(X_1052,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),join(X_1052,complement(X0))),complement(meet(X1,meet(complement(X_1052),X0)))) )],[refute_1_5257,refute_1_5258]) ).
cnf(refute_1_5260,plain,
complement(meet(X1,meet(complement(X_1052),X0))) = join(X_1052,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X1),join(X_1052,complement(X0))),join(X_1052,complement(meet(X0,X1)))) )],[refute_1_5256,refute_1_5259]) ).
cnf(refute_1_5261,plain,
complement(meet(X_1030,meet(complement(X_1031),X1))) = join(X_1031,complement(meet(X1,X_1030))),
inference(subst,[],[refute_1_5260:[bind(X0,$fot(X1)),bind(X1,$fot(X_1030)),bind(X_1052,$fot(X_1031))]]) ).
cnf(refute_1_5262,plain,
( complement(meet(X_1030,meet(complement(X_1031),X1))) != join(X_1031,complement(meet(X1,X_1030)))
| join(complement(X_1030),join(X_1031,complement(X1))) != complement(meet(X_1030,meet(complement(X_1031),X1)))
| join(complement(X_1030),join(X_1031,complement(X1))) = join(X_1031,complement(meet(X1,X_1030))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1030),join(X_1031,complement(X1))),complement(meet(X_1030,meet(complement(X_1031),X1)))) ),[1],$fot(join(X_1031,complement(meet(X1,X_1030))))]]) ).
cnf(refute_1_5263,plain,
( join(complement(X_1030),join(X_1031,complement(X1))) != complement(meet(X_1030,meet(complement(X_1031),X1)))
| join(complement(X_1030),join(X_1031,complement(X1))) = join(X_1031,complement(meet(X1,X_1030))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1030,meet(complement(X_1031),X1))),join(X_1031,complement(meet(X1,X_1030)))) )],[refute_1_5261,refute_1_5262]) ).
cnf(refute_1_5264,plain,
join(complement(X_1030),join(X_1031,complement(X1))) = join(X_1031,complement(meet(X1,X_1030))),
inference(resolve,[$cnf( $equal(join(complement(X_1030),join(X_1031,complement(X1))),complement(meet(X_1030,meet(complement(X_1031),X1)))) )],[refute_1_5252,refute_1_5263]) ).
cnf(refute_1_5265,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))),
inference(subst,[],[refute_1_5264:[bind(X1,$fot(X_1010)),bind(X_1030,$fot(one)),bind(X_1031,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5266,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one)))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) = complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))),complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))))]]) ).
cnf(refute_1_5267,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) = complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one)))) )],[refute_1_5265,refute_1_5266]) ).
cnf(refute_1_5268,plain,
join(complement(X_1010),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_1010)),bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5269,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(complement(X_1010),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[0,1],$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5270,plain,
( join(complement(X_1010),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_4019,refute_1_5269]) ).
cnf(refute_1_5271,plain,
join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),complement(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5268,refute_1_5270]) ).
cnf(refute_1_5272,plain,
complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
inference(subst,[],[refute_1_1177:[bind(X_675,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_5273,plain,
( complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))))),bind(Y,$fot(join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Z,$fot(complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5274,plain,
( join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_5272,refute_1_5273]) ).
cnf(refute_1_5275,plain,
complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5271,refute_1_5274]) ).
cnf(refute_1_5276,plain,
( complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))) != complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))),complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1],$fot(complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5277,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))),complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5275,refute_1_5276]) ).
cnf(refute_1_5278,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))) != complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))),complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_5267,refute_1_5277]) ).
cnf(refute_1_5279,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) = complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),complement(X_1010))),complement(meet(X_1010,complement(converse(join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_5232,refute_1_5278]) ).
cnf(refute_1_5280,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) != complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))))),bind(Y,$fot(complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5281,plain,
complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_1010,one))),complement(meet(X_1010,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5279,refute_1_5280]) ).
cnf(refute_1_5282,plain,
complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))),
inference(subst,[],[refute_1_5281:[bind(X_1010,$fot(X_988))]]) ).
cnf(refute_1_5283,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5284,plain,
( complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))]]) ).
cnf(refute_1_5285,plain,
( complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_5283,refute_1_5284]) ).
cnf(refute_1_5286,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),
inference(resolve,[$cnf( $equal(complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) )],[refute_1_5282,refute_1_5285]) ).
cnf(refute_1_5287,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))))]]) ).
cnf(refute_1_5288,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))) )],[refute_1_5286,refute_1_5287]) ).
cnf(refute_1_5289,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),complement(meet(X_988,converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_5193,refute_1_5288]) ).
cnf(refute_1_5290,plain,
meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),X_988)) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(X_988)),bind(X_981,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5291,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),X_988)) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),X_988)),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[0,1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_5292,plain,
( meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),X_988)) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_5291]) ).
cnf(refute_1_5293,plain,
meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),X_988)),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5290,refute_1_5292]) ).
cnf(refute_1_5294,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988) = join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(one))),bind(X2,$fot(X_988))]]) ).
cnf(refute_1_5295,plain,
meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5296,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988) != join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))
| meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))]]) ).
cnf(refute_1_5297,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988) != join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))
| meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5295,refute_1_5296]) ).
cnf(refute_1_5298,plain,
meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) )],[refute_1_5294,refute_1_5297]) ).
cnf(refute_1_5299,plain,
meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988))),bind(X_602,$fot(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5300,plain,
( meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) != meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)))),bind(Y,$fot(meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_5301,plain,
( meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)),meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5299,refute_1_5300]) ).
cnf(refute_1_5302,plain,
meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(meet(join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5298,refute_1_5301]) ).
cnf(refute_1_5303,plain,
( meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[0],$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5304,plain,
( meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5302,refute_1_5303]) ).
cnf(refute_1_5305,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_5306,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_5305]) ).
cnf(refute_1_5307,plain,
( meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5304,refute_1_5306]) ).
cnf(refute_1_5308,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(join(skolemFOFtoCNF_X0_1,complement(one)),X_988)),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5293,refute_1_5307]) ).
cnf(refute_1_5309,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))),bind(X_602,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))))]]) ).
cnf(refute_1_5310,plain,
join(complement(X_1010),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_1010)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5311,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(complement(X_1010),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0,1],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_5312,plain,
( join(complement(X_1010),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_5311]) ).
cnf(refute_1_5313,plain,
join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5310,refute_1_5312]) ).
cnf(refute_1_5314,plain,
join(complement(X_1010),complement(one)) = complement(meet(X_1010,one)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_1010)),bind(X1,$fot(one))]]) ).
cnf(refute_1_5315,plain,
join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))))]]) ).
cnf(refute_1_5316,plain,
( join(complement(X_1010),complement(one)) != complement(meet(X_1010,one))
| join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one)))
| join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))),join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one)))) ),[1,1],$fot(complement(meet(X_1010,one)))]]) ).
cnf(refute_1_5317,plain,
( join(complement(X_1010),complement(one)) != complement(meet(X_1010,one))
| join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))),join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one)))) )],[refute_1_5315,refute_1_5316]) ).
cnf(refute_1_5318,plain,
join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),complement(one)),complement(meet(X_1010,one))) )],[refute_1_5314,refute_1_5317]) ).
cnf(refute_1_5319,plain,
join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(complement(X_1010))),bind(X_729,$fot(complement(one)))]]) ).
cnf(refute_1_5320,plain,
( join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one)))
| join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one)))
| join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one)))))]]) ).
cnf(refute_1_5321,plain,
( join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one)))
| join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) ),
inference(resolve,[$cnf( $equal(join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))),join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one)))) )],[refute_1_5319,refute_1_5320]) ).
cnf(refute_1_5322,plain,
join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(X_1010),complement(one))),join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one)))) )],[refute_1_5318,refute_1_5321]) ).
cnf(refute_1_5323,plain,
( join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) != complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one)))
| join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))),complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))))]]) ).
cnf(refute_1_5324,plain,
( join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))) != complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))),join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one)))) )],[refute_1_5322,refute_1_5323]) ).
cnf(refute_1_5325,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) = complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),join(skolemFOFtoCNF_X0_1,complement(one))),complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5313,refute_1_5324]) ).
cnf(refute_1_5326,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) != complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))))),bind(Y,$fot(complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5327,plain,
complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(X_1010,one))),complement(meet(X_1010,meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5325,refute_1_5326]) ).
cnf(refute_1_5328,plain,
complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),
inference(subst,[],[refute_1_5327:[bind(X_1010,$fot(X_988))]]) ).
cnf(refute_1_5329,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5330,plain,
( complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))]]) ).
cnf(refute_1_5331,plain,
( complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5329,refute_1_5330]) ).
cnf(refute_1_5332,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))),
inference(resolve,[$cnf( $equal(complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1)))),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) )],[refute_1_5328,refute_1_5331]) ).
cnf(refute_1_5333,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))))),bind(Z,$fot(meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))))]]) ).
cnf(refute_1_5334,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))) )],[refute_1_5332,refute_1_5333]) ).
cnf(refute_1_5335,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) = meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))) )],[refute_1_5309,refute_1_5334]) ).
cnf(refute_1_5336,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))
| meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(skolemFOFtoCNF_X0_1,complement(one))) ),[0],$fot(meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))))]]) ).
cnf(refute_1_5337,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))) )],[refute_1_5335,refute_1_5336]) ).
cnf(refute_1_5338,plain,
meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),complement(meet(X_988,meet(one,complement(skolemFOFtoCNF_X0_1))))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_5308,refute_1_5337]) ).
cnf(refute_1_5339,plain,
( meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5340,plain,
( meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))) )],[refute_1_5309,refute_1_5339]) ).
cnf(refute_1_5341,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_5338,refute_1_5340]) ).
cnf(refute_1_5342,plain,
converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_75:[bind(X0,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5343,plain,
composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_174:[bind(X_631,$fot(skolemFOFtoCNF_X0_1)),bind(X_633,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5344,plain,
composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_4663:[bind(X_702,$fot(skolemFOFtoCNF_X0_1)),bind(X_703,$fot(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5345,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_5346,plain,
meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X2)),bind(X_602,$fot(composition(X0,meet(X1,composition(converse(X0),X2)))))]]) ).
cnf(refute_1_5347,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
introduced(tautology,[refl,[$fot(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)))]]) ).
cnf(refute_1_5348,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))
| meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))
| join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))) ),[1,1],$fot(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))]]) ).
cnf(refute_1_5349,plain,
( meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))
| join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))) )],[refute_1_5347,refute_1_5348]) ).
cnf(refute_1_5350,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),
inference(resolve,[$cnf( $equal(meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) )],[refute_1_5346,refute_1_5349]) ).
cnf(refute_1_5351,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))
| join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) ),[0],$fot(join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))))]]) ).
cnf(refute_1_5352,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))) )],[refute_1_5350,refute_1_5351]) ).
cnf(refute_1_5353,plain,
( join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) ),[0],$fot(meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))]]) ).
cnf(refute_1_5354,plain,
( join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) ),
inference(resolve,[$cnf( $equal(meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) )],[refute_1_5346,refute_1_5353]) ).
cnf(refute_1_5355,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) )],[refute_1_5352,refute_1_5354]) ).
cnf(refute_1_5356,plain,
join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) )],[refute_1_5345,refute_1_5355]) ).
cnf(refute_1_5357,plain,
join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_5356:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(one)),bind(X2,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5358,plain,
complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = join(complement(join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),
inference(subst,[],[refute_1_1113:[bind(X_675,$fot(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),bind(X_791,$fot(one))]]) ).
cnf(refute_1_5359,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5360,plain,
( join(one,complement(converse(skolemFOFtoCNF_X0_1))) != top
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) != join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),X2)
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)),join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_5361,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) != join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),X2)
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0_1))),top) )],[refute_1_1623,refute_1_5360]) ).
cnf(refute_1_5362,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)),join(join(one,complement(converse(skolemFOFtoCNF_X0_1))),X2)) )],[refute_1_5359,refute_1_5361]) ).
cnf(refute_1_5363,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) != join(top,X2)
| join(top,X2) != top
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_1_5364,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) != join(top,X2)
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_1_1728,refute_1_5363]) ).
cnf(refute_1_5365,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),X2)),join(top,X2)) )],[refute_1_5362,refute_1_5364]) ).
cnf(refute_1_5366,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011))) = top,
inference(subst,[],[refute_1_5365:[bind(X2,$fot(complement(X_1011)))]]) ).
cnf(refute_1_5367,plain,
join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011)) = complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011)),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X1,$fot(X_1011))]]) ).
cnf(refute_1_5368,plain,
( join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011)) != complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011))
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011))) != top
| join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011))),top) ),[0,1],$fot(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011)))]]) ).
cnf(refute_1_5369,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011))) != top
| join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011)),complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011))) )],[refute_1_5367,refute_1_5368]) ).
cnf(refute_1_5370,plain,
join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1011))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),complement(X_1011))),top) )],[refute_1_5366,refute_1_5369]) ).
cnf(refute_1_5371,plain,
join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = top,
inference(subst,[],[refute_1_5370:[bind(X_1011,$fot(X_1013))]]) ).
cnf(refute_1_5372,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != join(complement(join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != top
| complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),join(complement(join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_5373,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != join(complement(join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),top) )],[refute_1_5371,refute_1_5372]) ).
cnf(refute_1_5374,plain,
complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),join(complement(join(one,complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) )],[refute_1_5358,refute_1_5373]) ).
cnf(refute_1_5375,plain,
complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = meet(converse(skolemFOFtoCNF_X0_1),X_1013),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))]]) ).
cnf(refute_1_5376,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != meet(converse(skolemFOFtoCNF_X0_1),X_1013)
| meet(converse(skolemFOFtoCNF_X0_1),X_1013) = join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) ),[0],$fot(meet(converse(skolemFOFtoCNF_X0_1),X_1013))]]) ).
cnf(refute_1_5377,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| meet(converse(skolemFOFtoCNF_X0_1),X_1013) = join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),
inference(resolve,[$cnf( $equal(complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),meet(converse(skolemFOFtoCNF_X0_1),X_1013)) )],[refute_1_5375,refute_1_5376]) ).
cnf(refute_1_5378,plain,
join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))))]]) ).
cnf(refute_1_5379,plain,
meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) = meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))]]) ).
cnf(refute_1_5380,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != meet(converse(skolemFOFtoCNF_X0_1),X_1013)
| meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) != meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))
| meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),[1,1],$fot(meet(converse(skolemFOFtoCNF_X0_1),X_1013))]]) ).
cnf(refute_1_5381,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != meet(converse(skolemFOFtoCNF_X0_1),X_1013)
| meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) )],[refute_1_5379,refute_1_5380]) ).
cnf(refute_1_5382,plain,
meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)),
inference(resolve,[$cnf( $equal(complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),meet(converse(skolemFOFtoCNF_X0_1),X_1013)) )],[refute_1_5375,refute_1_5381]) ).
cnf(refute_1_5383,plain,
join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),
introduced(tautology,[refl,[$fot(join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))))]]) ).
cnf(refute_1_5384,plain,
( join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))
| join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) ),[1,1],$fot(meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))]]) ).
cnf(refute_1_5385,plain,
( meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))
| join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) )],[refute_1_5383,refute_1_5384]) ).
cnf(refute_1_5386,plain,
join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))),meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) )],[refute_1_5382,refute_1_5385]) ).
cnf(refute_1_5387,plain,
join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))))]]) ).
cnf(refute_1_5388,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_5389,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) )],[refute_1_5387,refute_1_5388]) ).
cnf(refute_1_5390,plain,
join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_5389]) ).
cnf(refute_1_5391,plain,
( join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))))),bind(Y,$fot(join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))))),bind(Z,$fot(join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))]]) ).
cnf(refute_1_5392,plain,
( join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) )],[refute_1_5390,refute_1_5391]) ).
cnf(refute_1_5393,plain,
join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) )],[refute_1_5386,refute_1_5392]) ).
cnf(refute_1_5394,plain,
( join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))
| join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))))),bind(Y,$fot(join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),bind(Z,$fot(meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))))]]) ).
cnf(refute_1_5395,plain,
( join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))
| join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))) )],[refute_1_5393,refute_1_5394]) ).
cnf(refute_1_5396,plain,
join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)),
inference(resolve,[$cnf( $equal(join(zero,meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))),meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) )],[refute_1_5378,refute_1_5395]) ).
cnf(refute_1_5397,plain,
( join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))
| meet(converse(skolemFOFtoCNF_X0_1),X_1013) != join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| meet(converse(skolemFOFtoCNF_X0_1),X_1013) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),X_1013),join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) ),[1],$fot(meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)))]]) ).
cnf(refute_1_5398,plain,
( meet(converse(skolemFOFtoCNF_X0_1),X_1013) != join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| meet(converse(skolemFOFtoCNF_X0_1),X_1013) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))))),meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013))) )],[refute_1_5396,refute_1_5397]) ).
cnf(refute_1_5399,plain,
( complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))) != join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))
| meet(converse(skolemFOFtoCNF_X0_1),X_1013) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),X_1013),join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) )],[refute_1_5377,refute_1_5398]) ).
cnf(refute_1_5400,plain,
meet(converse(skolemFOFtoCNF_X0_1),X_1013) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),X_1013)),
inference(resolve,[$cnf( $equal(complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013))),join(complement(top),meet(one,complement(complement(meet(converse(skolemFOFtoCNF_X0_1),X_1013)))))) )],[refute_1_5374,refute_1_5399]) ).
cnf(refute_1_5401,plain,
meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = meet(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_5400:[bind(X_1013,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5402,plain,
composition(X_1400,skolemFOFtoCNF_X0_1) = join(meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))),
inference(subst,[],[refute_1_4663:[bind(X_702,$fot(complement(X_1400))),bind(X_703,$fot(composition(X_1400,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5403,plain,
join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),
inference(subst,[],[refute_1_5356:[bind(X0,$fot(X_1397)),bind(X1,$fot(skolemFOFtoCNF_X0_1)),bind(X2,$fot(complement(converse(converse(X_1397)))))]]) ).
cnf(refute_1_5404,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,join(X_885,one))),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(X_885,one)),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(skolemFOFtoCNF_X0_1)),bind(X_981,$fot(join(X_885,one)))]]) ).
cnf(refute_1_5405,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,join(X_885,one))
| meet(skolemFOFtoCNF_X0_1,join(X_885,one)) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,join(X_885,one))))]]) ).
cnf(refute_1_5406,plain,
meet(skolemFOFtoCNF_X0_1,join(X_885,one)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,join(X_885,one))) )],[refute_1_2757,refute_1_5405]) ).
cnf(refute_1_5407,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,join(X_885,one))),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != complement(join(X_885,one))
| meet(skolemFOFtoCNF_X0_1,join(X_885,one)) != skolemFOFtoCNF_X0_1
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(X_885,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,join(X_885,one))),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),complement(join(X_885,one))) ),[0,0,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_5408,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,join(X_885,one))),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != complement(join(X_885,one))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(X_885,one)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,join(X_885,one)),skolemFOFtoCNF_X0_1) )],[refute_1_5406,refute_1_5407]) ).
cnf(refute_1_5409,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(X_885,one)),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,join(X_885,one))),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),complement(join(X_885,one))) )],[refute_1_5404,refute_1_5408]) ).
cnf(refute_1_5410,plain,
join(one,join(skolemFOFtoCNF_X0_1,X_885)) = join(one,X_885),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(X_885))]]) ).
cnf(refute_1_5411,plain,
join(skolemFOFtoCNF_X0_1,join(X_885,one)) = join(one,join(skolemFOFtoCNF_X0_1,X_885)),
inference(subst,[],[refute_1_678:[bind(X0,$fot(one)),bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(X_885))]]) ).
cnf(refute_1_5412,plain,
( join(one,join(skolemFOFtoCNF_X0_1,X_885)) != join(one,X_885)
| join(skolemFOFtoCNF_X0_1,join(X_885,one)) != join(one,join(skolemFOFtoCNF_X0_1,X_885))
| join(skolemFOFtoCNF_X0_1,join(X_885,one)) = join(one,X_885) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(X_885,one)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0_1,X_885)))),bind(Z,$fot(join(one,X_885)))]]) ).
cnf(refute_1_5413,plain,
( join(one,join(skolemFOFtoCNF_X0_1,X_885)) != join(one,X_885)
| join(skolemFOFtoCNF_X0_1,join(X_885,one)) = join(one,X_885) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_885,one)),join(one,join(skolemFOFtoCNF_X0_1,X_885))) )],[refute_1_5411,refute_1_5412]) ).
cnf(refute_1_5414,plain,
join(skolemFOFtoCNF_X0_1,join(X_885,one)) = join(one,X_885),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,X_885)),join(one,X_885)) )],[refute_1_5410,refute_1_5413]) ).
cnf(refute_1_5415,plain,
join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) = join(skolemFOFtoCNF_X0_1,join(X_885,one)),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(join(X_885,one))),bind(X_720,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5416,plain,
( join(skolemFOFtoCNF_X0_1,join(X_885,one)) != join(one,X_885)
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) != join(skolemFOFtoCNF_X0_1,join(X_885,one))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) = join(one,X_885) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(X_885,one)))),bind(Z,$fot(join(one,X_885)))]]) ).
cnf(refute_1_5417,plain,
( join(skolemFOFtoCNF_X0_1,join(X_885,one)) != join(one,X_885)
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) = join(one,X_885) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))),join(skolemFOFtoCNF_X0_1,join(X_885,one))) )],[refute_1_5415,refute_1_5416]) ).
cnf(refute_1_5418,plain,
join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) = join(one,X_885),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_885,one)),join(one,X_885)) )],[refute_1_5414,refute_1_5417]) ).
cnf(refute_1_5419,plain,
complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) = complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))))]]) ).
cnf(refute_1_5420,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) != complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) != join(one,X_885)
| complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) = complement(join(one,X_885)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))),complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))))) ),[1,0],$fot(join(one,X_885))]]) ).
cnf(refute_1_5421,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))) != join(one,X_885)
| complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) = complement(join(one,X_885)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))),complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))))) )],[refute_1_5419,refute_1_5420]) ).
cnf(refute_1_5422,plain,
complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) = complement(join(one,X_885)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))),join(one,X_885)) )],[refute_1_5418,refute_1_5421]) ).
cnf(refute_1_5423,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) = complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))),
inference(subst,[],[refute_1_4949:[bind(X_981,$fot(skolemFOFtoCNF_X0_1)),bind(X_982,$fot(join(X_885,one))),bind(X_983,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5424,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) != complement(join(one,X_885))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) != complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) = complement(join(one,X_885)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))))),bind(Z,$fot(complement(join(one,X_885))))]]) ).
cnf(refute_1_5425,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))) != complement(join(one,X_885))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) = complement(join(one,X_885)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))),complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one))))) )],[refute_1_5423,refute_1_5424]) ).
cnf(refute_1_5426,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) = complement(join(one,X_885)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),join(X_885,one)))),complement(join(one,X_885))) )],[refute_1_5422,refute_1_5425]) ).
cnf(refute_1_5427,plain,
join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,complement(join(X_885,one))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(complement(join(X_885,one)))),bind(X_758,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5428,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5429,plain,
( join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(join(X_885,one))))]]) ).
cnf(refute_1_5430,plain,
( join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1))) )],[refute_1_5428,refute_1_5429]) ).
cnf(refute_1_5431,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) )],[refute_1_5427,refute_1_5430]) ).
cnf(refute_1_5432,plain,
( meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one))))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) != complement(join(one,X_885))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(one,X_885)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))))),bind(Z,$fot(complement(join(one,X_885))))]]) ).
cnf(refute_1_5433,plain,
( meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))) != complement(join(one,X_885))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(one,X_885)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one))))) )],[refute_1_5431,refute_1_5432]) ).
cnf(refute_1_5434,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) = complement(join(one,X_885)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(join(X_885,one)))),complement(join(one,X_885))) )],[refute_1_5426,refute_1_5433]) ).
cnf(refute_1_5435,plain,
( meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != complement(join(X_885,one))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != complement(join(one,X_885))
| complement(join(one,X_885)) = complement(join(X_885,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),complement(join(X_885,one))) ),[0],$fot(complement(join(one,X_885)))]]) ).
cnf(refute_1_5436,plain,
( meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)) != complement(join(X_885,one))
| complement(join(one,X_885)) = complement(join(X_885,one)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),complement(join(one,X_885))) )],[refute_1_5434,refute_1_5435]) ).
cnf(refute_1_5437,plain,
complement(join(one,X_885)) = complement(join(X_885,one)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(join(X_885,one)),skolemFOFtoCNF_X0_1)),complement(join(X_885,one))) )],[refute_1_5409,refute_1_5436]) ).
cnf(refute_1_5438,plain,
complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) = complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)),
inference(subst,[],[refute_1_5437:[bind(X_885,$fot(join(X_733,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5439,plain,
join(one,join(complement(skolemFOFtoCNF_X0_1),X_733)) = top,
inference(subst,[],[refute_1_1731:[bind(X2,$fot(X_733))]]) ).
cnf(refute_1_5440,plain,
join(X_733,complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),X_733),
inference(subst,[],[refute_1_1:[bind(X0,$fot(X_733)),bind(X1,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5441,plain,
( join(X_733,complement(skolemFOFtoCNF_X0_1)) != join(complement(skolemFOFtoCNF_X0_1),X_733)
| join(complement(skolemFOFtoCNF_X0_1),X_733) = join(X_733,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_733,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),X_733)))]]) ).
cnf(refute_1_5442,plain,
join(complement(skolemFOFtoCNF_X0_1),X_733) = join(X_733,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(X_733,complement(skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),X_733)) )],[refute_1_5440,refute_1_5441]) ).
cnf(refute_1_5443,plain,
( join(complement(skolemFOFtoCNF_X0_1),X_733) != join(X_733,complement(skolemFOFtoCNF_X0_1))
| join(one,join(complement(skolemFOFtoCNF_X0_1),X_733)) != top
| join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),X_733)),top) ),[0,1],$fot(join(X_733,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5444,plain,
( join(one,join(complement(skolemFOFtoCNF_X0_1),X_733)) != top
| join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),X_733),join(X_733,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_5442,refute_1_5443]) ).
cnf(refute_1_5445,plain,
join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0_1),X_733)),top) )],[refute_1_5439,refute_1_5444]) ).
cnf(refute_1_5446,plain,
( complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))) != top
| complement(top) = complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))),complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_5447,plain,
( complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| complement(top) = complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))),top) )],[refute_1_5445,refute_1_5446]) ).
cnf(refute_1_5448,plain,
complement(top) = complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))),complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_5438,refute_1_5447]) ).
cnf(refute_1_5449,plain,
( complement(top) != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| complement(top) != zero
| zero = complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))) ),[0],$fot(zero)]]) ).
cnf(refute_1_5450,plain,
( complement(top) != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| zero = complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_5449]) ).
cnf(refute_1_5451,plain,
meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(skolemFOFtoCNF_X0_1)),bind(X_602,$fot(complement(join(one,X_733))))]]) ).
cnf(refute_1_5452,plain,
complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) = meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_3961:[bind(X0,$fot(one)),bind(X1,$fot(X_733)),bind(X_982,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5453,plain,
( complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) != meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1)
| meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1) != meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))
| complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1))),bind(Z,$fot(meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))))]]) ).
cnf(refute_1_5454,plain,
( meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1) != meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))
| complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))),meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1)) )],[refute_1_5452,refute_1_5453]) ).
cnf(refute_1_5455,plain,
complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))),
inference(resolve,[$cnf( $equal(meet(complement(join(one,X_733)),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))) )],[refute_1_5451,refute_1_5454]) ).
cnf(refute_1_5456,plain,
complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) = complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_4970:[bind(X_735,$fot(join(X_733,complement(skolemFOFtoCNF_X0_1)))),bind(X_988,$fot(one))]]) ).
cnf(refute_1_5457,plain,
( complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) != complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))))
| complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))
| complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)))),bind(Y,$fot(complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))))]]) ).
cnf(refute_1_5458,plain,
( complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))
| complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)),complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_5456,refute_1_5457]) ).
cnf(refute_1_5459,plain,
complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_733,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))) )],[refute_1_5455,refute_1_5458]) ).
cnf(refute_1_5460,plain,
( complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)) != meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))
| zero != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| zero = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))) ),[1],$fot(meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))))]]) ).
cnf(refute_1_5461,plain,
( zero != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| zero = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one)),meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733)))) )],[refute_1_5459,refute_1_5460]) ).
cnf(refute_1_5462,plain,
( complement(top) != complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))
| zero = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))) ),
inference(resolve,[$cnf( $equal(zero,complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_5450,refute_1_5461]) ).
cnf(refute_1_5463,plain,
zero = meet(skolemFOFtoCNF_X0_1,complement(join(one,X_733))),
inference(resolve,[$cnf( $equal(complement(top),complement(join(join(X_733,complement(skolemFOFtoCNF_X0_1)),one))) )],[refute_1_5448,refute_1_5462]) ).
cnf(refute_1_5464,plain,
zero = meet(skolemFOFtoCNF_X0_1,complement(join(one,complement(X_979)))),
inference(subst,[],[refute_1_5463:[bind(X_733,$fot(complement(X_979)))]]) ).
cnf(refute_1_5465,plain,
meet(complement(one),X_979) = complement(join(one,complement(X_979))),
inference(subst,[],[refute_1_3253:[bind(X_981,$fot(one))]]) ).
cnf(refute_1_5466,plain,
( meet(complement(one),X_979) != complement(join(one,complement(X_979)))
| complement(join(one,complement(X_979))) = meet(complement(one),X_979) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(one),X_979))),bind(Y,$fot(complement(join(one,complement(X_979)))))]]) ).
cnf(refute_1_5467,plain,
complement(join(one,complement(X_979))) = meet(complement(one),X_979),
inference(resolve,[$cnf( $equal(meet(complement(one),X_979),complement(join(one,complement(X_979)))) )],[refute_1_5465,refute_1_5466]) ).
cnf(refute_1_5468,plain,
( complement(join(one,complement(X_979))) != meet(complement(one),X_979)
| zero != meet(skolemFOFtoCNF_X0_1,complement(join(one,complement(X_979))))
| zero = meet(skolemFOFtoCNF_X0_1,meet(complement(one),X_979)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,complement(join(one,complement(X_979))))) ),[1,1],$fot(meet(complement(one),X_979))]]) ).
cnf(refute_1_5469,plain,
( zero != meet(skolemFOFtoCNF_X0_1,complement(join(one,complement(X_979))))
| zero = meet(skolemFOFtoCNF_X0_1,meet(complement(one),X_979)) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_979))),meet(complement(one),X_979)) )],[refute_1_5467,refute_1_5468]) ).
cnf(refute_1_5470,plain,
zero = meet(skolemFOFtoCNF_X0_1,meet(complement(one),X_979)),
inference(resolve,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,complement(join(one,complement(X_979))))) )],[refute_1_5464,refute_1_5469]) ).
cnf(refute_1_5471,plain,
zero = meet(skolemFOFtoCNF_X0_1,meet(complement(one),composition(X_792,complement(converse(X_792))))),
inference(subst,[],[refute_1_5470:[bind(X_979,$fot(composition(X_792,complement(converse(X_792)))))]]) ).
cnf(refute_1_5472,plain,
composition(X_792,complement(converse(X_792))) = meet(composition(X_792,complement(converse(X_792))),join(complement(one),composition(X_792,complement(converse(X_792))))),
inference(subst,[],[refute_1_566:[bind(X_734,$fot(composition(X_792,complement(converse(X_792))))),bind(X_735,$fot(complement(one)))]]) ).
cnf(refute_1_5473,plain,
join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) = complement(one),
inference(subst,[],[refute_1_1916:[bind(X_616,$fot(converse(X0)))]]) ).
cnf(refute_1_5474,plain,
( converse(converse(X0)) != X0
| join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
| join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_1_5475,plain,
( join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
| join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_77,refute_1_5474]) ).
cnf(refute_1_5476,plain,
join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) )],[refute_1_5473,refute_1_5475]) ).
cnf(refute_1_5477,plain,
join(complement(one),composition(X_792,complement(converse(X_792)))) = complement(one),
inference(subst,[],[refute_1_5476:[bind(X0,$fot(X_792))]]) ).
cnf(refute_1_5478,plain,
( composition(X_792,complement(converse(X_792))) != meet(composition(X_792,complement(converse(X_792))),join(complement(one),composition(X_792,complement(converse(X_792)))))
| join(complement(one),composition(X_792,complement(converse(X_792)))) != complement(one)
| composition(X_792,complement(converse(X_792))) = meet(composition(X_792,complement(converse(X_792))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_792,complement(converse(X_792))),meet(composition(X_792,complement(converse(X_792))),join(complement(one),composition(X_792,complement(converse(X_792)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_5479,plain,
( composition(X_792,complement(converse(X_792))) != meet(composition(X_792,complement(converse(X_792))),join(complement(one),composition(X_792,complement(converse(X_792)))))
| composition(X_792,complement(converse(X_792))) = meet(composition(X_792,complement(converse(X_792))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(X_792,complement(converse(X_792)))),complement(one)) )],[refute_1_5477,refute_1_5478]) ).
cnf(refute_1_5480,plain,
composition(X_792,complement(converse(X_792))) = meet(composition(X_792,complement(converse(X_792))),complement(one)),
inference(resolve,[$cnf( $equal(composition(X_792,complement(converse(X_792))),meet(composition(X_792,complement(converse(X_792))),join(complement(one),composition(X_792,complement(converse(X_792)))))) )],[refute_1_5472,refute_1_5479]) ).
cnf(refute_1_5481,plain,
meet(composition(X_792,complement(converse(X_792))),complement(one)) = meet(complement(one),composition(X_792,complement(converse(X_792)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(composition(X_792,complement(converse(X_792)))))]]) ).
cnf(refute_1_5482,plain,
( composition(X_792,complement(converse(X_792))) != meet(composition(X_792,complement(converse(X_792))),complement(one))
| meet(composition(X_792,complement(converse(X_792))),complement(one)) != meet(complement(one),composition(X_792,complement(converse(X_792))))
| composition(X_792,complement(converse(X_792))) = meet(complement(one),composition(X_792,complement(converse(X_792)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_792,complement(converse(X_792))),meet(complement(one),composition(X_792,complement(converse(X_792))))) ),[0],$fot(meet(composition(X_792,complement(converse(X_792))),complement(one)))]]) ).
cnf(refute_1_5483,plain,
( composition(X_792,complement(converse(X_792))) != meet(composition(X_792,complement(converse(X_792))),complement(one))
| composition(X_792,complement(converse(X_792))) = meet(complement(one),composition(X_792,complement(converse(X_792)))) ),
inference(resolve,[$cnf( $equal(meet(composition(X_792,complement(converse(X_792))),complement(one)),meet(complement(one),composition(X_792,complement(converse(X_792))))) )],[refute_1_5481,refute_1_5482]) ).
cnf(refute_1_5484,plain,
composition(X_792,complement(converse(X_792))) = meet(complement(one),composition(X_792,complement(converse(X_792)))),
inference(resolve,[$cnf( $equal(composition(X_792,complement(converse(X_792))),meet(composition(X_792,complement(converse(X_792))),complement(one))) )],[refute_1_5480,refute_1_5483]) ).
cnf(refute_1_5485,plain,
( composition(X_792,complement(converse(X_792))) != meet(complement(one),composition(X_792,complement(converse(X_792))))
| meet(complement(one),composition(X_792,complement(converse(X_792)))) = composition(X_792,complement(converse(X_792))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(X_792,complement(converse(X_792))))),bind(Y,$fot(meet(complement(one),composition(X_792,complement(converse(X_792))))))]]) ).
cnf(refute_1_5486,plain,
meet(complement(one),composition(X_792,complement(converse(X_792)))) = composition(X_792,complement(converse(X_792))),
inference(resolve,[$cnf( $equal(composition(X_792,complement(converse(X_792))),meet(complement(one),composition(X_792,complement(converse(X_792))))) )],[refute_1_5484,refute_1_5485]) ).
cnf(refute_1_5487,plain,
( meet(complement(one),composition(X_792,complement(converse(X_792)))) != composition(X_792,complement(converse(X_792)))
| zero != meet(skolemFOFtoCNF_X0_1,meet(complement(one),composition(X_792,complement(converse(X_792)))))
| zero = meet(skolemFOFtoCNF_X0_1,composition(X_792,complement(converse(X_792)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,meet(complement(one),composition(X_792,complement(converse(X_792)))))) ),[1,1],$fot(composition(X_792,complement(converse(X_792))))]]) ).
cnf(refute_1_5488,plain,
( zero != meet(skolemFOFtoCNF_X0_1,meet(complement(one),composition(X_792,complement(converse(X_792)))))
| zero = meet(skolemFOFtoCNF_X0_1,composition(X_792,complement(converse(X_792)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(X_792,complement(converse(X_792)))),composition(X_792,complement(converse(X_792)))) )],[refute_1_5486,refute_1_5487]) ).
cnf(refute_1_5489,plain,
zero = meet(skolemFOFtoCNF_X0_1,composition(X_792,complement(converse(X_792)))),
inference(resolve,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,meet(complement(one),composition(X_792,complement(converse(X_792)))))) )],[refute_1_5471,refute_1_5488]) ).
cnf(refute_1_5490,plain,
zero = meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))),
inference(subst,[],[refute_1_5489:[bind(X_792,$fot(converse(X_1397)))]]) ).
cnf(refute_1_5491,plain,
( zero != meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))
| meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))]]) ).
cnf(refute_1_5492,plain,
meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) )],[refute_1_5490,refute_1_5491]) ).
cnf(refute_1_5493,plain,
( join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))) != zero
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) ),[0,1,1,1],$fot(zero)]]) ).
cnf(refute_1_5494,plain,
( join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))),zero) )],[refute_1_5492,refute_1_5493]) ).
cnf(refute_1_5495,plain,
join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) )],[refute_1_5403,refute_1_5494]) ).
cnf(refute_1_5496,plain,
join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5497,plain,
join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) = join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)))),bind(X_758,$fot(zero))]]) ).
cnf(refute_1_5498,plain,
( join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) != join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)))
| join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero))),bind(Y,$fot(join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))))),bind(Z,$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5499,plain,
( join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero),join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)))) )],[refute_1_5497,refute_1_5498]) ).
cnf(refute_1_5500,plain,
join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))),meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) )],[refute_1_5496,refute_1_5499]) ).
cnf(refute_1_5501,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_1_26:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_5502,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_1_5503,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_5502]) ).
cnf(refute_1_5504,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_1_5501,refute_1_5503]) ).
cnf(refute_1_5505,plain,
join(meet(zero,X1),zero) = meet(zero,X1),
inference(subst,[],[refute_1_1534:[bind(X1,$fot(meet(zero,X1)))]]) ).
cnf(refute_1_5506,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_1_5507,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_5508,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_1_5506,refute_1_5507]) ).
cnf(refute_1_5509,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_1_1574,refute_1_5508]) ).
cnf(refute_1_5510,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),zero)
| join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(subst,[],[refute_1_20:[bind(X,$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_1_5511,plain,
( join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),zero)) )],[refute_1_5509,refute_1_5510]) ).
cnf(refute_1_5512,plain,
join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),zero),meet(zero,X1)) )],[refute_1_5505,refute_1_5511]) ).
cnf(refute_1_5513,plain,
( join(meet(zero,X1),complement(join(top,X1))) != meet(zero,X1)
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(meet(zero,X1))]]) ).
cnf(refute_1_5514,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),meet(zero,X1)) )],[refute_1_5512,refute_1_5513]) ).
cnf(refute_1_5515,plain,
zero = meet(zero,X1),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_1_5504,refute_1_5514]) ).
cnf(refute_1_5516,plain,
( zero != meet(zero,X1)
| meet(zero,X1) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X1)))]]) ).
cnf(refute_1_5517,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X1)) )],[refute_1_5515,refute_1_5516]) ).
cnf(refute_1_5518,plain,
meet(zero,complement(X_1397)) = zero,
inference(subst,[],[refute_1_5517:[bind(X1,$fot(complement(X_1397)))]]) ).
cnf(refute_1_5519,plain,
converse(converse(X_1397)) = X_1397,
inference(subst,[],[refute_1_77:[bind(X0,$fot(X_1397))]]) ).
cnf(refute_1_5520,plain,
complement(converse(converse(X_1397))) = complement(converse(converse(X_1397))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_1397))))]]) ).
cnf(refute_1_5521,plain,
( complement(converse(converse(X_1397))) != complement(converse(converse(X_1397)))
| converse(converse(X_1397)) != X_1397
| complement(converse(converse(X_1397))) = complement(X_1397) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_1397))),complement(converse(converse(X_1397)))) ),[1,0],$fot(X_1397)]]) ).
cnf(refute_1_5522,plain,
( converse(converse(X_1397)) != X_1397
| complement(converse(converse(X_1397))) = complement(X_1397) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_1397))),complement(converse(converse(X_1397)))) )],[refute_1_5520,refute_1_5521]) ).
cnf(refute_1_5523,plain,
complement(converse(converse(X_1397))) = complement(X_1397),
inference(resolve,[$cnf( $equal(converse(converse(X_1397)),X_1397) )],[refute_1_5519,refute_1_5522]) ).
cnf(refute_1_5524,plain,
meet(zero,complement(converse(converse(X_1397)))) = meet(zero,complement(converse(converse(X_1397)))),
introduced(tautology,[refl,[$fot(meet(zero,complement(converse(converse(X_1397)))))]]) ).
cnf(refute_1_5525,plain,
( complement(converse(converse(X_1397))) != complement(X_1397)
| meet(zero,complement(converse(converse(X_1397)))) != meet(zero,complement(converse(converse(X_1397))))
| meet(zero,complement(converse(converse(X_1397)))) = meet(zero,complement(X_1397)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,complement(converse(converse(X_1397)))),meet(zero,complement(converse(converse(X_1397))))) ),[1,1],$fot(complement(X_1397))]]) ).
cnf(refute_1_5526,plain,
( complement(converse(converse(X_1397))) != complement(X_1397)
| meet(zero,complement(converse(converse(X_1397)))) = meet(zero,complement(X_1397)) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(converse(X_1397)))),meet(zero,complement(converse(converse(X_1397))))) )],[refute_1_5524,refute_1_5525]) ).
cnf(refute_1_5527,plain,
meet(zero,complement(converse(converse(X_1397)))) = meet(zero,complement(X_1397)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_1397))),complement(X_1397)) )],[refute_1_5523,refute_1_5526]) ).
cnf(refute_1_5528,plain,
composition(X_1397,zero) = zero,
inference(subst,[],[refute_1_3672:[bind(X1,$fot(X_1397))]]) ).
cnf(refute_1_5529,plain,
meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),
introduced(tautology,[refl,[$fot(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))))]]) ).
cnf(refute_1_5530,plain,
( composition(X_1397,zero) != zero
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) != meet(composition(X_1397,zero),complement(converse(converse(X_1397))))
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(zero,complement(converse(converse(X_1397)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),meet(composition(X_1397,zero),complement(converse(converse(X_1397))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_5531,plain,
( composition(X_1397,zero) != zero
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(zero,complement(converse(converse(X_1397)))) ),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),meet(composition(X_1397,zero),complement(converse(converse(X_1397))))) )],[refute_1_5529,refute_1_5530]) ).
cnf(refute_1_5532,plain,
meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(zero,complement(converse(converse(X_1397)))),
inference(resolve,[$cnf( $equal(composition(X_1397,zero),zero) )],[refute_1_5528,refute_1_5531]) ).
cnf(refute_1_5533,plain,
( meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) != meet(zero,complement(converse(converse(X_1397))))
| meet(zero,complement(converse(converse(X_1397)))) != meet(zero,complement(X_1397))
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(zero,complement(X_1397)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))))),bind(Y,$fot(meet(zero,complement(converse(converse(X_1397)))))),bind(Z,$fot(meet(zero,complement(X_1397))))]]) ).
cnf(refute_1_5534,plain,
( meet(zero,complement(converse(converse(X_1397)))) != meet(zero,complement(X_1397))
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(zero,complement(X_1397)) ),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),meet(zero,complement(converse(converse(X_1397))))) )],[refute_1_5532,refute_1_5533]) ).
cnf(refute_1_5535,plain,
meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = meet(zero,complement(X_1397)),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(converse(X_1397)))),meet(zero,complement(X_1397))) )],[refute_1_5527,refute_1_5534]) ).
cnf(refute_1_5536,plain,
( meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) != meet(zero,complement(X_1397))
| meet(zero,complement(X_1397)) != zero
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))))),bind(Y,$fot(meet(zero,complement(X_1397)))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5537,plain,
( meet(zero,complement(X_1397)) != zero
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),meet(zero,complement(X_1397))) )],[refute_1_5535,refute_1_5536]) ).
cnf(refute_1_5538,plain,
meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,complement(X_1397)),zero) )],[refute_1_5518,refute_1_5537]) ).
cnf(refute_1_5539,plain,
join(X_955,composition(top,complement(composition(converse(top),complement(X_955))))) = X_955,
inference(subst,[],[refute_1_3480:[bind(X_675,$fot(X_955)),bind(X_953,$fot(top))]]) ).
cnf(refute_1_5540,plain,
( converse(top) != top
| join(X_955,composition(top,complement(composition(converse(top),complement(X_955))))) != X_955
| join(X_955,composition(top,complement(composition(top,complement(X_955))))) = X_955 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_955,composition(top,complement(composition(converse(top),complement(X_955))))),X_955) ),[0,1,1,0,0],$fot(top)]]) ).
cnf(refute_1_5541,plain,
( join(X_955,composition(top,complement(composition(converse(top),complement(X_955))))) != X_955
| join(X_955,composition(top,complement(composition(top,complement(X_955))))) = X_955 ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_5540]) ).
cnf(refute_1_5542,plain,
join(X_955,composition(top,complement(composition(top,complement(X_955))))) = X_955,
inference(resolve,[$cnf( $equal(join(X_955,composition(top,complement(composition(converse(top),complement(X_955))))),X_955) )],[refute_1_5539,refute_1_5541]) ).
cnf(refute_1_5543,plain,
join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,complement(meet(X_1030,complement(X_1031))))))) = meet(X_1030,complement(X_1031)),
inference(subst,[],[refute_1_5542:[bind(X_955,$fot(meet(X_1030,complement(X_1031))))]]) ).
cnf(refute_1_5544,plain,
( complement(meet(X_1030,complement(X_1031))) != join(complement(X_1030),X_1031)
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,complement(meet(X_1030,complement(X_1031))))))) != meet(X_1030,complement(X_1031))
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = meet(X_1030,complement(X_1031)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,complement(meet(X_1030,complement(X_1031))))))),meet(X_1030,complement(X_1031))) ),[0,1,1,0,1],$fot(join(complement(X_1030),X_1031))]]) ).
cnf(refute_1_5545,plain,
( join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,complement(meet(X_1030,complement(X_1031))))))) != meet(X_1030,complement(X_1031))
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = meet(X_1030,complement(X_1031)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1030,complement(X_1031))),join(complement(X_1030),X_1031)) )],[refute_1_3986,refute_1_5544]) ).
cnf(refute_1_5546,plain,
join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = meet(X_1030,complement(X_1031)),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,complement(meet(X_1030,complement(X_1031))))))),meet(X_1030,complement(X_1031))) )],[refute_1_5543,refute_1_5545]) ).
cnf(refute_1_5547,plain,
composition(top,complement(composition(top,join(complement(X_1030),X_1031)))) = complement(composition(top,join(complement(X_1030),X_1031))),
inference(subst,[],[refute_1_3745:[bind(X_1136,$fot(join(complement(X_1030),X_1031)))]]) ).
cnf(refute_1_5548,plain,
join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))),
introduced(tautology,[refl,[$fot(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))))]]) ).
cnf(refute_1_5549,plain,
( composition(top,complement(composition(top,join(complement(X_1030),X_1031)))) != complement(composition(top,join(complement(X_1030),X_1031)))
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) != join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031)))))
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))),join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031)))))) ),[1,1],$fot(complement(composition(top,join(complement(X_1030),X_1031))))]]) ).
cnf(refute_1_5550,plain,
( composition(top,complement(composition(top,join(complement(X_1030),X_1031)))) != complement(composition(top,join(complement(X_1030),X_1031)))
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))),join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031)))))) )],[refute_1_5548,refute_1_5549]) ).
cnf(refute_1_5551,plain,
join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) = join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,join(complement(X_1030),X_1031)))),complement(composition(top,join(complement(X_1030),X_1031)))) )],[refute_1_5547,refute_1_5550]) ).
cnf(refute_1_5552,plain,
( join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) != join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031))))
| join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) != meet(X_1030,complement(X_1031))
| join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = meet(X_1030,complement(X_1031)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))),meet(X_1030,complement(X_1031))) ),[0],$fot(join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))))]]) ).
cnf(refute_1_5553,plain,
( join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))) != meet(X_1030,complement(X_1031))
| join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = meet(X_1030,complement(X_1031)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))),join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031))))) )],[refute_1_5551,refute_1_5552]) ).
cnf(refute_1_5554,plain,
join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = meet(X_1030,complement(X_1031)),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),composition(top,complement(composition(top,join(complement(X_1030),X_1031))))),meet(X_1030,complement(X_1031))) )],[refute_1_5546,refute_1_5553]) ).
cnf(refute_1_5555,plain,
complement(join(complement(X_1030),X_1031)) = meet(complement(X_1031),X_1030),
inference(subst,[],[refute_1_3299:[bind(X_982,$fot(X_1030)),bind(X_983,$fot(X_1031))]]) ).
cnf(refute_1_5556,plain,
X_675 = join(meet(composition(top,complement(complement(X_675))),X_675),complement(join(complement(X_675),composition(top,complement(complement(X_675)))))),
inference(subst,[],[refute_1_44:[bind(X_676,$fot(composition(top,complement(complement(X_675)))))]]) ).
cnf(refute_1_5557,plain,
( X_675 != join(meet(composition(top,complement(complement(X_675))),X_675),complement(join(complement(X_675),composition(top,complement(complement(X_675))))))
| join(complement(X_675),composition(top,complement(complement(X_675)))) != top
| X_675 = join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,join(meet(composition(top,complement(complement(X_675))),X_675),complement(join(complement(X_675),composition(top,complement(complement(X_675))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_5558,plain,
( X_675 != join(meet(composition(top,complement(complement(X_675))),X_675),complement(join(complement(X_675),composition(top,complement(complement(X_675))))))
| X_675 = join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),composition(top,complement(complement(X_675)))),top) )],[refute_1_4161,refute_1_5557]) ).
cnf(refute_1_5559,plain,
X_675 = join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)),
inference(resolve,[$cnf( $equal(X_675,join(meet(composition(top,complement(complement(X_675))),X_675),complement(join(complement(X_675),composition(top,complement(complement(X_675))))))) )],[refute_1_5556,refute_1_5558]) ).
cnf(refute_1_5560,plain,
join(zero,meet(X_675,composition(top,X_675))) = meet(X_675,composition(top,X_675)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(X_675,composition(top,X_675))))]]) ).
cnf(refute_1_5561,plain,
composition(top,complement(complement(X_675))) = composition(top,complement(complement(X_675))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(X_675))))]]) ).
cnf(refute_1_5562,plain,
( complement(complement(X_675)) != X_675
| composition(top,complement(complement(X_675))) != composition(top,complement(complement(X_675)))
| composition(top,complement(complement(X_675))) = composition(top,X_675) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(X_675))),composition(top,complement(complement(X_675)))) ),[1,1],$fot(X_675)]]) ).
cnf(refute_1_5563,plain,
( complement(complement(X_675)) != X_675
| composition(top,complement(complement(X_675))) = composition(top,X_675) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(X_675))),composition(top,complement(complement(X_675)))) )],[refute_1_5561,refute_1_5562]) ).
cnf(refute_1_5564,plain,
composition(top,complement(complement(X_675))) = composition(top,X_675),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_5563]) ).
cnf(refute_1_5565,plain,
meet(X_675,composition(top,complement(complement(X_675)))) = meet(X_675,composition(top,complement(complement(X_675)))),
introduced(tautology,[refl,[$fot(meet(X_675,composition(top,complement(complement(X_675)))))]]) ).
cnf(refute_1_5566,plain,
( composition(top,complement(complement(X_675))) != composition(top,X_675)
| meet(X_675,composition(top,complement(complement(X_675)))) != meet(X_675,composition(top,complement(complement(X_675))))
| meet(X_675,composition(top,complement(complement(X_675)))) = meet(X_675,composition(top,X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_675,composition(top,complement(complement(X_675)))),meet(X_675,composition(top,complement(complement(X_675))))) ),[1,1],$fot(composition(top,X_675))]]) ).
cnf(refute_1_5567,plain,
( composition(top,complement(complement(X_675))) != composition(top,X_675)
| meet(X_675,composition(top,complement(complement(X_675)))) = meet(X_675,composition(top,X_675)) ),
inference(resolve,[$cnf( $equal(meet(X_675,composition(top,complement(complement(X_675)))),meet(X_675,composition(top,complement(complement(X_675))))) )],[refute_1_5565,refute_1_5566]) ).
cnf(refute_1_5568,plain,
meet(X_675,composition(top,complement(complement(X_675)))) = meet(X_675,composition(top,X_675)),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(X_675))),composition(top,X_675)) )],[refute_1_5564,refute_1_5567]) ).
cnf(refute_1_5569,plain,
meet(composition(top,complement(complement(X_675))),X_675) = meet(X_675,composition(top,complement(complement(X_675)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(X_675)),bind(X_602,$fot(composition(top,complement(complement(X_675)))))]]) ).
cnf(refute_1_5570,plain,
( meet(X_675,composition(top,complement(complement(X_675)))) != meet(X_675,composition(top,X_675))
| meet(composition(top,complement(complement(X_675))),X_675) != meet(X_675,composition(top,complement(complement(X_675))))
| meet(composition(top,complement(complement(X_675))),X_675) = meet(X_675,composition(top,X_675)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(top,complement(complement(X_675))),X_675))),bind(Y,$fot(meet(X_675,composition(top,complement(complement(X_675)))))),bind(Z,$fot(meet(X_675,composition(top,X_675))))]]) ).
cnf(refute_1_5571,plain,
( meet(X_675,composition(top,complement(complement(X_675)))) != meet(X_675,composition(top,X_675))
| meet(composition(top,complement(complement(X_675))),X_675) = meet(X_675,composition(top,X_675)) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(complement(X_675))),X_675),meet(X_675,composition(top,complement(complement(X_675))))) )],[refute_1_5569,refute_1_5570]) ).
cnf(refute_1_5572,plain,
meet(composition(top,complement(complement(X_675))),X_675) = meet(X_675,composition(top,X_675)),
inference(resolve,[$cnf( $equal(meet(X_675,composition(top,complement(complement(X_675)))),meet(X_675,composition(top,X_675))) )],[refute_1_5568,refute_1_5571]) ).
cnf(refute_1_5573,plain,
join(zero,meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(composition(top,complement(complement(X_675))),X_675)),
introduced(tautology,[refl,[$fot(join(zero,meet(composition(top,complement(complement(X_675))),X_675)))]]) ).
cnf(refute_1_5574,plain,
( join(zero,meet(composition(top,complement(complement(X_675))),X_675)) != join(zero,meet(composition(top,complement(complement(X_675))),X_675))
| meet(composition(top,complement(complement(X_675))),X_675) != meet(X_675,composition(top,X_675))
| join(zero,meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(X_675,composition(top,X_675))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(composition(top,complement(complement(X_675))),X_675)),join(zero,meet(composition(top,complement(complement(X_675))),X_675))) ),[1,1],$fot(meet(X_675,composition(top,X_675)))]]) ).
cnf(refute_1_5575,plain,
( meet(composition(top,complement(complement(X_675))),X_675) != meet(X_675,composition(top,X_675))
| join(zero,meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(X_675,composition(top,X_675))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(top,complement(complement(X_675))),X_675)),join(zero,meet(composition(top,complement(complement(X_675))),X_675))) )],[refute_1_5573,refute_1_5574]) ).
cnf(refute_1_5576,plain,
join(zero,meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(X_675,composition(top,X_675))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(complement(X_675))),X_675),meet(X_675,composition(top,X_675))) )],[refute_1_5572,refute_1_5575]) ).
cnf(refute_1_5577,plain,
join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)))]]) ).
cnf(refute_1_5578,plain,
( complement(top) != zero
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) != join(complement(top),meet(composition(top,complement(complement(X_675))),X_675))
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(composition(top,complement(complement(X_675))),X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),join(complement(top),meet(composition(top,complement(complement(X_675))),X_675))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_5579,plain,
( complement(top) != zero
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(composition(top,complement(complement(X_675))),X_675)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),join(complement(top),meet(composition(top,complement(complement(X_675))),X_675))) )],[refute_1_5577,refute_1_5578]) ).
cnf(refute_1_5580,plain,
join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(composition(top,complement(complement(X_675))),X_675)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_5579]) ).
cnf(refute_1_5581,plain,
( join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) != join(zero,meet(composition(top,complement(complement(X_675))),X_675))
| join(zero,meet(composition(top,complement(complement(X_675))),X_675)) != join(zero,meet(X_675,composition(top,X_675)))
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(X_675,composition(top,X_675))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)))),bind(Y,$fot(join(zero,meet(composition(top,complement(complement(X_675))),X_675)))),bind(Z,$fot(join(zero,meet(X_675,composition(top,X_675)))))]]) ).
cnf(refute_1_5582,plain,
( join(zero,meet(composition(top,complement(complement(X_675))),X_675)) != join(zero,meet(X_675,composition(top,X_675)))
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(X_675,composition(top,X_675))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),join(zero,meet(composition(top,complement(complement(X_675))),X_675))) )],[refute_1_5580,refute_1_5581]) ).
cnf(refute_1_5583,plain,
join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = join(zero,meet(X_675,composition(top,X_675))),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(top,complement(complement(X_675))),X_675)),join(zero,meet(X_675,composition(top,X_675)))) )],[refute_1_5576,refute_1_5582]) ).
cnf(refute_1_5584,plain,
( join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) != join(zero,meet(X_675,composition(top,X_675)))
| join(zero,meet(X_675,composition(top,X_675))) != meet(X_675,composition(top,X_675))
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = meet(X_675,composition(top,X_675)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)))),bind(Y,$fot(join(zero,meet(X_675,composition(top,X_675))))),bind(Z,$fot(meet(X_675,composition(top,X_675))))]]) ).
cnf(refute_1_5585,plain,
( join(zero,meet(X_675,composition(top,X_675))) != meet(X_675,composition(top,X_675))
| join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = meet(X_675,composition(top,X_675)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),join(zero,meet(X_675,composition(top,X_675)))) )],[refute_1_5583,refute_1_5584]) ).
cnf(refute_1_5586,plain,
join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) = meet(X_675,composition(top,X_675)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_675,composition(top,X_675))),meet(X_675,composition(top,X_675))) )],[refute_1_5560,refute_1_5585]) ).
cnf(refute_1_5587,plain,
join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) = join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(composition(top,complement(complement(X_675))),X_675)))]]) ).
cnf(refute_1_5588,plain,
( join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) != meet(X_675,composition(top,X_675))
| join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) != join(complement(top),meet(composition(top,complement(complement(X_675))),X_675))
| join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) = meet(X_675,composition(top,X_675)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)))),bind(Y,$fot(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)))),bind(Z,$fot(meet(X_675,composition(top,X_675))))]]) ).
cnf(refute_1_5589,plain,
( join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)) != meet(X_675,composition(top,X_675))
| join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) = meet(X_675,composition(top,X_675)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)),join(complement(top),meet(composition(top,complement(complement(X_675))),X_675))) )],[refute_1_5587,refute_1_5588]) ).
cnf(refute_1_5590,plain,
join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) = meet(X_675,composition(top,X_675)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,complement(complement(X_675))),X_675)),meet(X_675,composition(top,X_675))) )],[refute_1_5586,refute_1_5589]) ).
cnf(refute_1_5591,plain,
( X_675 != join(meet(composition(top,complement(complement(X_675))),X_675),complement(top))
| join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)) != meet(X_675,composition(top,X_675))
| X_675 = meet(X_675,composition(top,X_675)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,composition(top,X_675))) ),[0],$fot(join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)))]]) ).
cnf(refute_1_5592,plain,
( X_675 != join(meet(composition(top,complement(complement(X_675))),X_675),complement(top))
| X_675 = meet(X_675,composition(top,X_675)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(complement(X_675))),X_675),complement(top)),meet(X_675,composition(top,X_675))) )],[refute_1_5590,refute_1_5591]) ).
cnf(refute_1_5593,plain,
X_675 = meet(X_675,composition(top,X_675)),
inference(resolve,[$cnf( $equal(X_675,join(meet(composition(top,complement(complement(X_675))),X_675),complement(top))) )],[refute_1_5559,refute_1_5592]) ).
cnf(refute_1_5594,plain,
( X_675 != meet(X_675,composition(top,X_675))
| meet(X_675,composition(top,X_675)) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(meet(X_675,composition(top,X_675))))]]) ).
cnf(refute_1_5595,plain,
meet(X_675,composition(top,X_675)) = X_675,
inference(resolve,[$cnf( $equal(X_675,meet(X_675,composition(top,X_675))) )],[refute_1_5593,refute_1_5594]) ).
cnf(refute_1_5596,plain,
meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))) = join(complement(X_1030),X_1031),
inference(subst,[],[refute_1_5595:[bind(X_675,$fot(join(complement(X_1030),X_1031)))]]) ).
cnf(refute_1_5597,plain,
complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))),
introduced(tautology,[refl,[$fot(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))))]]) ).
cnf(refute_1_5598,plain,
( complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) != complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))))
| meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))) != join(complement(X_1030),X_1031)
| complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = complement(join(complement(X_1030),X_1031)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))),complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))))) ),[1,0],$fot(join(complement(X_1030),X_1031))]]) ).
cnf(refute_1_5599,plain,
( meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))) != join(complement(X_1030),X_1031)
| complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = complement(join(complement(X_1030),X_1031)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))),complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))))) )],[refute_1_5597,refute_1_5598]) ).
cnf(refute_1_5600,plain,
complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = complement(join(complement(X_1030),X_1031)),
inference(resolve,[$cnf( $equal(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))),join(complement(X_1030),X_1031)) )],[refute_1_5596,refute_1_5599]) ).
cnf(refute_1_5601,plain,
( complement(join(complement(X_1030),X_1031)) != meet(complement(X_1031),X_1030)
| complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) != complement(join(complement(X_1030),X_1031))
| complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = meet(complement(X_1031),X_1030) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))))),bind(Y,$fot(complement(join(complement(X_1030),X_1031)))),bind(Z,$fot(meet(complement(X_1031),X_1030)))]]) ).
cnf(refute_1_5602,plain,
( complement(join(complement(X_1030),X_1031)) != meet(complement(X_1031),X_1030)
| complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = meet(complement(X_1031),X_1030) ),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))),complement(join(complement(X_1030),X_1031))) )],[refute_1_5600,refute_1_5601]) ).
cnf(refute_1_5603,plain,
complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) = meet(complement(X_1031),X_1030),
inference(resolve,[$cnf( $equal(complement(join(complement(X_1030),X_1031)),meet(complement(X_1031),X_1030)) )],[refute_1_5555,refute_1_5602]) ).
cnf(refute_1_5604,plain,
join(meet(X_1010,complement(X_675)),complement(X_1359)) = complement(meet(complement(meet(X_1010,complement(X_675))),X_1359)),
inference(subst,[],[refute_1_4379:[bind(X_982,$fot(X_1359)),bind(X_983,$fot(meet(X_1010,complement(X_675))))]]) ).
cnf(refute_1_5605,plain,
( complement(meet(X_1010,complement(X_675))) != join(complement(X_1010),X_675)
| join(meet(X_1010,complement(X_675)),complement(X_1359)) != complement(meet(complement(meet(X_1010,complement(X_675))),X_1359))
| join(meet(X_1010,complement(X_675)),complement(X_1359)) = complement(meet(join(complement(X_1010),X_675),X_1359)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1010,complement(X_675)),complement(X_1359)),complement(meet(complement(meet(X_1010,complement(X_675))),X_1359))) ),[1,0,0],$fot(join(complement(X_1010),X_675))]]) ).
cnf(refute_1_5606,plain,
( join(meet(X_1010,complement(X_675)),complement(X_1359)) != complement(meet(complement(meet(X_1010,complement(X_675))),X_1359))
| join(meet(X_1010,complement(X_675)),complement(X_1359)) = complement(meet(join(complement(X_1010),X_675),X_1359)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1010,complement(X_675))),join(complement(X_1010),X_675)) )],[refute_1_1177,refute_1_5605]) ).
cnf(refute_1_5607,plain,
join(meet(X_1010,complement(X_675)),complement(X_1359)) = complement(meet(join(complement(X_1010),X_675),X_1359)),
inference(resolve,[$cnf( $equal(join(meet(X_1010,complement(X_675)),complement(X_1359)),complement(meet(complement(meet(X_1010,complement(X_675))),X_1359))) )],[refute_1_5604,refute_1_5606]) ).
cnf(refute_1_5608,plain,
join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))),
inference(subst,[],[refute_1_5607:[bind(X_1010,$fot(X_1030)),bind(X_1359,$fot(composition(top,join(complement(X_1030),X_1031)))),bind(X_675,$fot(X_1031))]]) ).
cnf(refute_1_5609,plain,
( complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) != meet(complement(X_1031),X_1030)
| join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) != complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))))
| join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = meet(complement(X_1031),X_1030) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))))),bind(Y,$fot(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))))),bind(Z,$fot(meet(complement(X_1031),X_1030)))]]) ).
cnf(refute_1_5610,plain,
( complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))) != meet(complement(X_1031),X_1030)
| join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = meet(complement(X_1031),X_1030) ),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))),complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031))))) )],[refute_1_5608,refute_1_5609]) ).
cnf(refute_1_5611,plain,
join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) = meet(complement(X_1031),X_1030),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(X_1030),X_1031),composition(top,join(complement(X_1030),X_1031)))),meet(complement(X_1031),X_1030)) )],[refute_1_5603,refute_1_5610]) ).
cnf(refute_1_5612,plain,
( join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) != meet(X_1030,complement(X_1031))
| join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) != meet(complement(X_1031),X_1030)
| meet(complement(X_1031),X_1030) = meet(X_1030,complement(X_1031)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))),meet(X_1030,complement(X_1031))) ),[0],$fot(meet(complement(X_1031),X_1030))]]) ).
cnf(refute_1_5613,plain,
( join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))) != meet(X_1030,complement(X_1031))
| meet(complement(X_1031),X_1030) = meet(X_1030,complement(X_1031)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))),meet(complement(X_1031),X_1030)) )],[refute_1_5611,refute_1_5612]) ).
cnf(refute_1_5614,plain,
meet(complement(X_1031),X_1030) = meet(X_1030,complement(X_1031)),
inference(resolve,[$cnf( $equal(join(meet(X_1030,complement(X_1031)),complement(composition(top,join(complement(X_1030),X_1031)))),meet(X_1030,complement(X_1031))) )],[refute_1_5554,refute_1_5613]) ).
cnf(refute_1_5615,plain,
meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) = meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),
inference(subst,[],[refute_1_5614:[bind(X_1030,$fot(composition(X_1397,zero))),bind(X_1031,$fot(converse(converse(X_1397))))]]) ).
cnf(refute_1_5616,plain,
( meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) != meet(composition(X_1397,zero),complement(converse(converse(X_1397))))
| meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) != zero
| meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))),bind(Y,$fot(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5617,plain,
( meet(composition(X_1397,zero),complement(converse(converse(X_1397)))) != zero
| meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,zero)),meet(composition(X_1397,zero),complement(converse(converse(X_1397))))) )],[refute_1_5615,refute_1_5616]) ).
cnf(refute_1_5618,plain,
meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(composition(X_1397,zero),complement(converse(converse(X_1397)))),zero) )],[refute_1_5538,refute_1_5617]) ).
cnf(refute_1_5619,plain,
join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),
introduced(tautology,[refl,[$fot(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))))]]) ).
cnf(refute_1_5620,plain,
( join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))
| meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) != zero
| join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_5621,plain,
( meet(complement(converse(converse(X_1397))),composition(X_1397,zero)) != zero
| join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))) )],[refute_1_5619,refute_1_5620]) ).
cnf(refute_1_5622,plain,
join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,zero)),zero) )],[refute_1_5618,refute_1_5621]) ).
cnf(refute_1_5623,plain,
( meet(complement(X_1031),X_1030) != meet(X_1030,complement(X_1031))
| meet(X_1030,complement(X_1031)) = meet(complement(X_1031),X_1030) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(X_1031),X_1030))),bind(Y,$fot(meet(X_1030,complement(X_1031))))]]) ).
cnf(refute_1_5624,plain,
meet(X_1030,complement(X_1031)) = meet(complement(X_1031),X_1030),
inference(resolve,[$cnf( $equal(meet(complement(X_1031),X_1030),meet(X_1030,complement(X_1031))) )],[refute_1_5614,refute_1_5623]) ).
cnf(refute_1_5625,plain,
meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_5624:[bind(X_1030,$fot(composition(X_1397,skolemFOFtoCNF_X0_1))),bind(X_1031,$fot(X_1397))]]) ).
cnf(refute_1_5626,plain,
meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),
introduced(tautology,[refl,[$fot(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))))]]) ).
cnf(refute_1_5627,plain,
( complement(converse(converse(X_1397))) != complement(X_1397)
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) != meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397))))
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397))))) ),[1,1],$fot(complement(X_1397))]]) ).
cnf(refute_1_5628,plain,
( complement(converse(converse(X_1397))) != complement(X_1397)
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)) ),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397))))) )],[refute_1_5626,refute_1_5627]) ).
cnf(refute_1_5629,plain,
meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_1397))),complement(X_1397)) )],[refute_1_5523,refute_1_5628]) ).
cnf(refute_1_5630,plain,
( meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) != meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397))
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))))),bind(Y,$fot(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)))),bind(Z,$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5631,plain,
( meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397))) )],[refute_1_5629,refute_1_5630]) ).
cnf(refute_1_5632,plain,
meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(X_1397)),meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) )],[refute_1_5625,refute_1_5631]) ).
cnf(refute_1_5633,plain,
join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),
introduced(tautology,[refl,[$fot(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))))]]) ).
cnf(refute_1_5634,plain,
( join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))
| meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))) ),[1,0],$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5635,plain,
( meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))) )],[refute_1_5633,refute_1_5634]) ).
cnf(refute_1_5636,plain,
join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),
inference(resolve,[$cnf( $equal(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) )],[refute_1_5632,refute_1_5635]) ).
cnf(refute_1_5637,plain,
( join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero)
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))))),bind(Y,$fot(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))))),bind(Z,$fot(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero)))]]) ).
cnf(refute_1_5638,plain,
( join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero)
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero)))) )],[refute_1_5636,refute_1_5637]) ).
cnf(refute_1_5639,plain,
join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero),
inference(resolve,[$cnf( $equal(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero)) )],[refute_1_5622,refute_1_5638]) ).
cnf(refute_1_5640,plain,
( join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero)
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))))),bind(Y,$fot(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero))),bind(Z,$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5641,plain,
( join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero)) )],[refute_1_5639,refute_1_5640]) ).
cnf(refute_1_5642,plain,
join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) = meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero),meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) )],[refute_1_5500,refute_1_5641]) ).
cnf(refute_1_5643,plain,
( join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))
| join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) ),[0],$fot(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5644,plain,
( join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1))) )],[refute_1_5642,refute_1_5643]) ).
cnf(refute_1_5645,plain,
meet(complement(X_1397),zero) = meet(zero,complement(X_1397)),
inference(subst,[],[refute_1_5614:[bind(X_1030,$fot(zero)),bind(X_1031,$fot(X_1397))]]) ).
cnf(refute_1_5646,plain,
( meet(complement(X_1397),zero) != meet(zero,complement(X_1397))
| meet(zero,complement(X_1397)) != zero
| meet(complement(X_1397),zero) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(X_1397),zero))),bind(Y,$fot(meet(zero,complement(X_1397)))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5647,plain,
( meet(zero,complement(X_1397)) != zero
| meet(complement(X_1397),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_1397),zero),meet(zero,complement(X_1397))) )],[refute_1_5645,refute_1_5646]) ).
cnf(refute_1_5648,plain,
meet(complement(X_1397),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,complement(X_1397)),zero) )],[refute_1_5518,refute_1_5647]) ).
cnf(refute_1_5649,plain,
composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))),
introduced(tautology,[refl,[$fot(composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))]]) ).
cnf(refute_1_5650,plain,
( composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) != composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))
| meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))) != zero
| composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = composition(X_1397,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_5651,plain,
( meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))) != zero
| composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = composition(X_1397,zero) ),
inference(resolve,[$cnf( $equal(composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) )],[refute_1_5649,refute_1_5650]) ).
cnf(refute_1_5652,plain,
composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = composition(X_1397,zero),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))),zero) )],[refute_1_5492,refute_1_5651]) ).
cnf(refute_1_5653,plain,
( composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) != composition(X_1397,zero)
| composition(X_1397,zero) != zero
| composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))),bind(Y,$fot(composition(X_1397,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5654,plain,
( composition(X_1397,zero) != zero
| composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))),composition(X_1397,zero)) )],[refute_1_5652,refute_1_5653]) ).
cnf(refute_1_5655,plain,
composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_1397,zero),zero) )],[refute_1_5528,refute_1_5654]) ).
cnf(refute_1_5656,plain,
meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),
introduced(tautology,[refl,[$fot(meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))))]]) ).
cnf(refute_1_5657,plain,
( composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) != zero
| meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_5658,plain,
( composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))) != zero
| meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) )],[refute_1_5656,refute_1_5657]) ).
cnf(refute_1_5659,plain,
meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),zero),
inference(resolve,[$cnf( $equal(composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))),zero) )],[refute_1_5655,refute_1_5658]) ).
cnf(refute_1_5660,plain,
meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))))]]) ).
cnf(refute_1_5661,plain,
( complement(converse(converse(X_1397))) != complement(X_1397)
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) ),[1,0],$fot(complement(X_1397))]]) ).
cnf(refute_1_5662,plain,
( complement(converse(converse(X_1397))) != complement(X_1397)
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) )],[refute_1_5660,refute_1_5661]) ).
cnf(refute_1_5663,plain,
meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_1397))),complement(X_1397)) )],[refute_1_5523,refute_1_5662]) ).
cnf(refute_1_5664,plain,
( meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != meet(complement(X_1397),zero)
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),zero) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))))),bind(Y,$fot(meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))))),bind(Z,$fot(meet(complement(X_1397),zero)))]]) ).
cnf(refute_1_5665,plain,
( meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != meet(complement(X_1397),zero)
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) )],[refute_1_5663,refute_1_5664]) ).
cnf(refute_1_5666,plain,
meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = meet(complement(X_1397),zero),
inference(resolve,[$cnf( $equal(meet(complement(X_1397),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(X_1397),zero)) )],[refute_1_5659,refute_1_5665]) ).
cnf(refute_1_5667,plain,
( meet(complement(X_1397),zero) != zero
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != meet(complement(X_1397),zero)
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))))),bind(Y,$fot(meet(complement(X_1397),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_5668,plain,
( meet(complement(X_1397),zero) != zero
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),meet(complement(X_1397),zero)) )],[refute_1_5666,refute_1_5667]) ).
cnf(refute_1_5669,plain,
meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_1397),zero),zero) )],[refute_1_5648,refute_1_5668]) ).
cnf(refute_1_5670,plain,
( meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))) != zero
| meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),zero) ),[0],$fot(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))))]]) ).
cnf(refute_1_5671,plain,
( meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397))))))),zero) )],[refute_1_5669,refute_1_5670]) ).
cnf(refute_1_5672,plain,
( join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))) != meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))
| meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) )],[refute_1_5644,refute_1_5671]) ).
cnf(refute_1_5673,plain,
meet(complement(X_1397),composition(X_1397,skolemFOFtoCNF_X0_1)) = zero,
inference(resolve,[$cnf( $equal(join(meet(composition(X_1397,skolemFOFtoCNF_X0_1),complement(converse(converse(X_1397)))),meet(complement(converse(converse(X_1397))),composition(X_1397,zero))),meet(complement(converse(converse(X_1397))),composition(X_1397,meet(skolemFOFtoCNF_X0_1,composition(converse(X_1397),complement(converse(converse(X_1397)))))))) )],[refute_1_5495,refute_1_5672]) ).
cnf(refute_1_5674,plain,
meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)) = zero,
inference(subst,[],[refute_1_5673:[bind(X_1397,$fot(X_1400))]]) ).
cnf(refute_1_5675,plain,
( composition(X_1400,skolemFOFtoCNF_X0_1) != join(meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))
| meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)) != zero
| composition(X_1400,skolemFOFtoCNF_X0_1) = join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1400,skolemFOFtoCNF_X0_1),join(meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_5676,plain,
( composition(X_1400,skolemFOFtoCNF_X0_1) != join(meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))
| composition(X_1400,skolemFOFtoCNF_X0_1) = join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)),zero) )],[refute_1_5674,refute_1_5675]) ).
cnf(refute_1_5677,plain,
composition(X_1400,skolemFOFtoCNF_X0_1) = join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))),
inference(resolve,[$cnf( $equal(composition(X_1400,skolemFOFtoCNF_X0_1),join(meet(complement(X_1400),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))) )],[refute_1_5402,refute_1_5676]) ).
cnf(refute_1_5678,plain,
complement(complement(X_1400)) = X_1400,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(X_1400))]]) ).
cnf(refute_1_5679,plain,
meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) = meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5680,plain,
( complement(complement(X_1400)) != X_1400
| meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) != meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))
| meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))) ),[1,0],$fot(X_1400)]]) ).
cnf(refute_1_5681,plain,
( complement(complement(X_1400)) != X_1400
| meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))) )],[refute_1_5679,refute_1_5680]) ).
cnf(refute_1_5682,plain,
meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(complement(X_1400)),X_1400) )],[refute_1_5678,refute_1_5681]) ).
cnf(refute_1_5683,plain,
meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))) = meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_5624:[bind(X_1030,$fot(composition(X_1400,skolemFOFtoCNF_X0_1))),bind(X_1031,$fot(complement(X_1400)))]]) ).
cnf(refute_1_5684,plain,
join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))))]]) ).
cnf(refute_1_5685,plain,
( join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) != meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))
| meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))) != meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))
| join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))))),bind(Y,$fot(meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))),bind(Z,$fot(meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5686,plain,
( meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))) != meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))
| join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))),meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) )],[refute_1_5684,refute_1_5685]) ).
cnf(refute_1_5687,plain,
join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))),meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))) )],[refute_1_5683,refute_1_5686]) ).
cnf(refute_1_5688,plain,
( join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) != meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))
| meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) != meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))
| join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))))),bind(Y,$fot(meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)))),bind(Z,$fot(meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5689,plain,
( meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)) != meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))
| join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))),meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1))) )],[refute_1_5687,refute_1_5688]) ).
cnf(refute_1_5690,plain,
join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_1400)),composition(X_1400,skolemFOFtoCNF_X0_1)),meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))) )],[refute_1_5682,refute_1_5689]) ).
cnf(refute_1_5691,plain,
( composition(X_1400,skolemFOFtoCNF_X0_1) != join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))
| join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))) != meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))
| composition(X_1400,skolemFOFtoCNF_X0_1) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_1400,skolemFOFtoCNF_X0_1),meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))) ),[0],$fot(join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))))]]) ).
cnf(refute_1_5692,plain,
( composition(X_1400,skolemFOFtoCNF_X0_1) != join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))
| composition(X_1400,skolemFOFtoCNF_X0_1) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400)))),meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1))) )],[refute_1_5690,refute_1_5691]) ).
cnf(refute_1_5693,plain,
composition(X_1400,skolemFOFtoCNF_X0_1) = meet(X_1400,composition(X_1400,skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(X_1400,skolemFOFtoCNF_X0_1),join(zero,meet(composition(X_1400,skolemFOFtoCNF_X0_1),complement(complement(X_1400))))) )],[refute_1_5677,refute_1_5692]) ).
cnf(refute_1_5694,plain,
composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_5693:[bind(X_1400,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5695,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5696,plain,
meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5694,refute_1_5695]) ).
cnf(refute_1_5697,plain,
( meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),meet(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5698,plain,
( meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != meet(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5696,refute_1_5697]) ).
cnf(refute_1_5699,plain,
meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),meet(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5401,refute_1_5698]) ).
cnf(refute_1_5700,plain,
( meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5701,plain,
( meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5696,refute_1_5700]) ).
cnf(refute_1_5702,plain,
composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5699,refute_1_5701]) ).
cnf(refute_1_5703,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5704,plain,
meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5702,refute_1_5703]) ).
cnf(refute_1_5705,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) ),[0,1,1,1],$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5706,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5704,refute_1_5705]) ).
cnf(refute_1_5707,plain,
join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) )],[refute_1_5357,refute_1_5706]) ).
cnf(refute_1_5708,plain,
join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_1323:[bind(X_675,$fot(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(X_754,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5709,plain,
meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_369:[bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5710,plain,
composition(skolemFOFtoCNF_X0_1,one) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_82:[bind(X0,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5711,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)))]]) ).
cnf(refute_1_5712,plain,
( composition(skolemFOFtoCNF_X0_1,one) != skolemFOFtoCNF_X0_1
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one))) ),[1,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_5713,plain,
( composition(skolemFOFtoCNF_X0_1,one) != skolemFOFtoCNF_X0_1
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one))) )],[refute_1_5711,refute_1_5712]) ).
cnf(refute_1_5714,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) )],[refute_1_5710,refute_1_5713]) ).
cnf(refute_1_5715,plain,
( meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) != meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1)
| meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)))),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5716,plain,
( meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)),meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1)) )],[refute_1_5714,refute_1_5715]) ).
cnf(refute_1_5717,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_5709,refute_1_5716]) ).
cnf(refute_1_5718,plain,
meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(skolemFOFtoCNF_X0_1)),bind(X_602,$fot(composition(skolemFOFtoCNF_X0_1,one)))]]) ).
cnf(refute_1_5719,plain,
( meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) != skolemFOFtoCNF_X0_1
| meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5720,plain,
( meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)) != skolemFOFtoCNF_X0_1
| meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one))) )],[refute_1_5718,refute_1_5719]) ).
cnf(refute_1_5721,plain,
meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,one)),skolemFOFtoCNF_X0_1) )],[refute_1_5717,refute_1_5720]) ).
cnf(refute_1_5722,plain,
join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5723,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_5724,plain,
( meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) )],[refute_1_5722,refute_1_5723]) ).
cnf(refute_1_5725,plain,
join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_5721,refute_1_5724]) ).
cnf(refute_1_5726,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5727,plain,
( join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) )],[refute_1_5725,refute_1_5726]) ).
cnf(refute_1_5728,plain,
join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) )],[refute_1_5708,refute_1_5727]) ).
cnf(refute_1_5729,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) ),[0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_5730,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) )],[refute_1_5728,refute_1_5729]) ).
cnf(refute_1_5731,plain,
composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5732,plain,
( composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5733,plain,
( meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5731,refute_1_5732]) ).
cnf(refute_1_5734,plain,
composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5704,refute_1_5733]) ).
cnf(refute_1_5735,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5736,plain,
( composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5737,plain,
( composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) )],[refute_1_5735,refute_1_5736]) ).
cnf(refute_1_5738,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5734,refute_1_5737]) ).
cnf(refute_1_5739,plain,
( meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) ),[1],$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5740,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5738,refute_1_5739]) ).
cnf(refute_1_5741,plain,
( join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) )],[refute_1_5730,refute_1_5740]) ).
cnf(refute_1_5742,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(meet(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,meet(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))) )],[refute_1_5707,refute_1_5741]) ).
cnf(refute_1_5743,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5744,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5742,refute_1_5743]) ).
cnf(refute_1_5745,plain,
( composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_5746,plain,
( composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),skolemFOFtoCNF_X0_1) )],[refute_1_5744,refute_1_5745]) ).
cnf(refute_1_5747,plain,
composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5344,refute_1_5746]) ).
cnf(refute_1_5748,plain,
join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = complement(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5749,plain,
complement(one) = join(complement(join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))))),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(one)),bind(X_713,$fot(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5750,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))) = top,
inference(subst,[],[refute_1_5365:[bind(X2,$fot(join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5751,plain,
join(X_728,complement(converse(skolemFOFtoCNF_X0_1))) = join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_692:[bind(X_729,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5752,plain,
( join(X_728,complement(converse(skolemFOFtoCNF_X0_1))) != join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))
| join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) = join(X_728,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5753,plain,
join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) = join(X_728,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(X_728,complement(converse(skolemFOFtoCNF_X0_1))),join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_5751,refute_1_5752]) ).
cnf(refute_1_5754,plain,
( join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) != join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))
| join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))) != top
| join(one,join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))),top) ),[0,1],$fot(join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5755,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))) != top
| join(one,join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))),join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5753,refute_1_5754]) ).
cnf(refute_1_5756,plain,
join(one,join(X_728,complement(converse(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0_1)),join(X_728,complement(converse(skolemFOFtoCNF_X0_1))))),top) )],[refute_1_5750,refute_1_5755]) ).
cnf(refute_1_5757,plain,
join(one,join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1)))) = top,
inference(subst,[],[refute_1_5756:[bind(X_728,$fot(complement(X_1010)))]]) ).
cnf(refute_1_5758,plain,
join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1))) = complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_1010)),bind(X1,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5759,plain,
( join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1))) != complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1)))
| join(one,join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1)))) != top
| join(one,complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1)))),top) ),[0,1],$fot(complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5760,plain,
( join(one,join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1)))) != top
| join(one,complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1))),complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5758,refute_1_5759]) ).
cnf(refute_1_5761,plain,
join(one,complement(meet(X_1010,converse(skolemFOFtoCNF_X0_1)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(X_1010),complement(converse(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_5757,refute_1_5760]) ).
cnf(refute_1_5762,plain,
join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) = top,
inference(subst,[],[refute_1_5761:[bind(X_1010,$fot(X_1012))]]) ).
cnf(refute_1_5763,plain,
( complement(one) != join(complement(join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))))),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))
| join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) != top
| complement(one) = join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))))),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_5764,plain,
( complement(one) != join(complement(join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))))),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))
| complement(one) = join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1)))),top) )],[refute_1_5762,refute_1_5763]) ).
cnf(refute_1_5765,plain,
complement(one) = join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))))),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))) )],[refute_1_5749,refute_1_5764]) ).
cnf(refute_1_5766,plain,
join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) = join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5767,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) != join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) = join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))),join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_5768,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) = join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))),join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5766,refute_1_5767]) ).
cnf(refute_1_5769,plain,
join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) = join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_1_1790,refute_1_5768]) ).
cnf(refute_1_5770,plain,
join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))) = join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(meet(X_1012,converse(skolemFOFtoCNF_X0_1)))),bind(X_758,$fot(complement(complement(one))))]]) ).
cnf(refute_1_5771,plain,
meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))),
inference(subst,[],[refute_1_1989:[bind(X1,$fot(join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))]]) ).
cnf(refute_1_5772,plain,
( join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))) != join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) != join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))),bind(Y,$fot(join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))),bind(Z,$fot(join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5773,plain,
( join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))) != join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))),join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) )],[refute_1_5771,refute_1_5772]) ).
cnf(refute_1_5774,plain,
meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))),join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5770,refute_1_5773]) ).
cnf(refute_1_5775,plain,
( join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) != join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) != join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))),bind(Y,$fot(join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5776,plain,
( join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))) != join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))),join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5774,refute_1_5775]) ).
cnf(refute_1_5777,plain,
meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) = join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(X_1012,converse(skolemFOFtoCNF_X0_1))),join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5769,refute_1_5776]) ).
cnf(refute_1_5778,plain,
complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) = complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))))]]) ).
cnf(refute_1_5779,plain,
( complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) != complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))
| meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) != join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))),complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))) ),[1,0],$fot(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5780,plain,
( meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))) != join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))
| complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))),complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))) )],[refute_1_5778,refute_1_5779]) ).
cnf(refute_1_5781,plain,
complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))),join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5777,refute_1_5780]) ).
cnf(refute_1_5782,plain,
join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) = complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))),
inference(subst,[],[refute_1_3258:[bind(X_1010,$fot(top)),bind(X_979,$fot(complement(one))),bind(X_981,$fot(meet(X_1012,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5783,plain,
( complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) != complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) != complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))
| join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))))),bind(Y,$fot(complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))))),bind(Z,$fot(complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5784,plain,
( complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))) != complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))
| join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))),complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one)))))) )],[refute_1_5782,refute_1_5783]) ).
cnf(refute_1_5785,plain,
join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(X_1012,converse(skolemFOFtoCNF_X0_1)),complement(complement(one))))),complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_5781,refute_1_5784]) ).
cnf(refute_1_5786,plain,
( complement(one) != join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))
| join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))) != complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))
| complement(one) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))))]]) ).
cnf(refute_1_5787,plain,
( complement(one) != join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))
| complement(one) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one))),complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_5785,refute_1_5786]) ).
cnf(refute_1_5788,plain,
complement(one) = complement(join(one,meet(X_1012,converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(meet(X_1012,converse(skolemFOFtoCNF_X0_1))),complement(one)))) )],[refute_1_5765,refute_1_5787]) ).
cnf(refute_1_5789,plain,
complement(one) = complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_5788:[bind(X_1012,$fot(X_1016))]]) ).
cnf(refute_1_5790,plain,
( complement(one) != complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))))
| complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_5791,plain,
complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_5789,refute_1_5790]) ).
cnf(refute_1_5792,plain,
( complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))) != complement(one)
| join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) != complement(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))))
| join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))),complement(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_5793,plain,
( join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) != complement(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))))
| join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))),complement(one)) )],[refute_1_5791,refute_1_5792]) ).
cnf(refute_1_5794,plain,
join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))),complement(complement(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_5748,refute_1_5793]) ).
cnf(refute_1_5795,plain,
( complement(complement(one)) != one
| join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) != complement(complement(one))
| join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_1_5796,plain,
( join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) != complement(complement(one))
| join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_1_1790,refute_1_5795]) ).
cnf(refute_1_5797,plain,
join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(X_1016,converse(skolemFOFtoCNF_X0_1))),complement(complement(one))) )],[refute_1_5794,refute_1_5796]) ).
cnf(refute_1_5798,plain,
join(one,meet(X_1017,converse(skolemFOFtoCNF_X0_1))) = one,
inference(subst,[],[refute_1_5797:[bind(X_1016,$fot(X_1017))]]) ).
cnf(refute_1_5799,plain,
meet(converse(skolemFOFtoCNF_X0_1),X_1017) = meet(X_1017,converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_38:[bind(X_601,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(X_1017))]]) ).
cnf(refute_1_5800,plain,
( meet(converse(skolemFOFtoCNF_X0_1),X_1017) != meet(X_1017,converse(skolemFOFtoCNF_X0_1))
| meet(X_1017,converse(skolemFOFtoCNF_X0_1)) = meet(converse(skolemFOFtoCNF_X0_1),X_1017) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0_1),X_1017))),bind(Y,$fot(meet(X_1017,converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5801,plain,
meet(X_1017,converse(skolemFOFtoCNF_X0_1)) = meet(converse(skolemFOFtoCNF_X0_1),X_1017),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),X_1017),meet(X_1017,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_5799,refute_1_5800]) ).
cnf(refute_1_5802,plain,
( join(one,meet(X_1017,converse(skolemFOFtoCNF_X0_1))) != one
| meet(X_1017,converse(skolemFOFtoCNF_X0_1)) != meet(converse(skolemFOFtoCNF_X0_1),X_1017)
| join(one,meet(converse(skolemFOFtoCNF_X0_1),X_1017)) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(X_1017,converse(skolemFOFtoCNF_X0_1))),one) ),[0,1],$fot(meet(converse(skolemFOFtoCNF_X0_1),X_1017))]]) ).
cnf(refute_1_5803,plain,
( join(one,meet(X_1017,converse(skolemFOFtoCNF_X0_1))) != one
| join(one,meet(converse(skolemFOFtoCNF_X0_1),X_1017)) = one ),
inference(resolve,[$cnf( $equal(meet(X_1017,converse(skolemFOFtoCNF_X0_1)),meet(converse(skolemFOFtoCNF_X0_1),X_1017)) )],[refute_1_5801,refute_1_5802]) ).
cnf(refute_1_5804,plain,
join(one,meet(converse(skolemFOFtoCNF_X0_1),X_1017)) = one,
inference(resolve,[$cnf( $equal(join(one,meet(X_1017,converse(skolemFOFtoCNF_X0_1))),one) )],[refute_1_5798,refute_1_5803]) ).
cnf(refute_1_5805,plain,
join(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = one,
inference(subst,[],[refute_1_5804:[bind(X_1017,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5806,plain,
( join(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != one
| meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),one) ),[0,1],$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5807,plain,
( join(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != one
| join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = one ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5696,refute_1_5806]) ).
cnf(refute_1_5808,plain,
join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = one,
inference(resolve,[$cnf( $equal(join(one,meet(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),one) )],[refute_1_5805,refute_1_5807]) ).
cnf(refute_1_5809,plain,
composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5810,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != one
| composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_5811,plain,
( join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != one
| composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,one) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5809,refute_1_5810]) ).
cnf(refute_1_5812,plain,
composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,one),
inference(resolve,[$cnf( $equal(join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),one) )],[refute_1_5808,refute_1_5811]) ).
cnf(refute_1_5813,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,one)
| composition(skolemFOFtoCNF_X0_1,one) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,one))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5814,plain,
( composition(skolemFOFtoCNF_X0_1,one) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,one)) )],[refute_1_5812,refute_1_5813]) ).
cnf(refute_1_5815,plain,
composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,one),skolemFOFtoCNF_X0_1) )],[refute_1_5710,refute_1_5814]) ).
cnf(refute_1_5816,plain,
join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_4003:[bind(X_725,$fot(skolemFOFtoCNF_X0_1)),bind(X_726,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5817,plain,
join(X_1196,meet(X_702,complement(X_1196))) = join(meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),
inference(subst,[],[refute_1_4663:[bind(X_703,$fot(join(X_1196,meet(X_702,complement(X_1196)))))]]) ).
cnf(refute_1_5818,plain,
X_719 = meet(X_719,join(complement(complement(X_675)),meet(X_719,complement(X_675)))),
inference(subst,[],[refute_1_4334:[bind(X_602,$fot(complement(X_675))),bind(X_675,$fot(X_719))]]) ).
cnf(refute_1_5819,plain,
( X_719 != meet(X_719,join(complement(complement(X_675)),meet(X_719,complement(X_675))))
| complement(complement(X_675)) != X_675
| X_719 = meet(X_719,join(X_675,meet(X_719,complement(X_675)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_719,meet(X_719,join(complement(complement(X_675)),meet(X_719,complement(X_675))))) ),[1,1,0],$fot(X_675)]]) ).
cnf(refute_1_5820,plain,
( X_719 != meet(X_719,join(complement(complement(X_675)),meet(X_719,complement(X_675))))
| X_719 = meet(X_719,join(X_675,meet(X_719,complement(X_675)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_5819]) ).
cnf(refute_1_5821,plain,
X_719 = meet(X_719,join(X_675,meet(X_719,complement(X_675)))),
inference(resolve,[$cnf( $equal(X_719,meet(X_719,join(complement(complement(X_675)),meet(X_719,complement(X_675))))) )],[refute_1_5818,refute_1_5820]) ).
cnf(refute_1_5822,plain,
X_702 = meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),
inference(subst,[],[refute_1_5821:[bind(X_675,$fot(X_1196)),bind(X_719,$fot(X_702))]]) ).
cnf(refute_1_5823,plain,
( X_702 != meet(X_702,join(X_1196,meet(X_702,complement(X_1196))))
| meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))) = X_702 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_702)),bind(Y,$fot(meet(X_702,join(X_1196,meet(X_702,complement(X_1196))))))]]) ).
cnf(refute_1_5824,plain,
meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))) = X_702,
inference(resolve,[$cnf( $equal(X_702,meet(X_702,join(X_1196,meet(X_702,complement(X_1196))))) )],[refute_1_5822,refute_1_5823]) ).
cnf(refute_1_5825,plain,
( join(X_1196,meet(X_702,complement(X_1196))) != join(meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))
| meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))) != X_702
| join(X_1196,meet(X_702,complement(X_1196))) = join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1196,meet(X_702,complement(X_1196))),join(meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))) ),[1,0],$fot(X_702)]]) ).
cnf(refute_1_5826,plain,
( join(X_1196,meet(X_702,complement(X_1196))) != join(meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))
| join(X_1196,meet(X_702,complement(X_1196))) = join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) ),
inference(resolve,[$cnf( $equal(meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),X_702) )],[refute_1_5824,refute_1_5825]) ).
cnf(refute_1_5827,plain,
join(X_1196,meet(X_702,complement(X_1196))) = join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),
inference(resolve,[$cnf( $equal(join(X_1196,meet(X_702,complement(X_1196))),join(meet(X_702,join(X_1196,meet(X_702,complement(X_1196)))),meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))) )],[refute_1_5817,refute_1_5826]) ).
cnf(refute_1_5828,plain,
join(X_702,join(X_1196,meet(X_702,complement(X_1196)))) = join(X_1196,X_702),
inference(subst,[],[refute_1_4558:[bind(X_1052,$fot(X_1196)),bind(X_1053,$fot(X_702)),bind(X_675,$fot(complement(X_1196)))]]) ).
cnf(refute_1_5829,plain,
join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) = join(X_702,join(X_1196,meet(X_702,complement(X_1196)))),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(join(X_1196,meet(X_702,complement(X_1196))))),bind(X_720,$fot(X_702))]]) ).
cnf(refute_1_5830,plain,
( join(X_702,join(X_1196,meet(X_702,complement(X_1196)))) != join(X_1196,X_702)
| join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) != join(X_702,join(X_1196,meet(X_702,complement(X_1196))))
| join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) = join(X_1196,X_702) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))))),bind(Y,$fot(join(X_702,join(X_1196,meet(X_702,complement(X_1196)))))),bind(Z,$fot(join(X_1196,X_702)))]]) ).
cnf(refute_1_5831,plain,
( join(X_702,join(X_1196,meet(X_702,complement(X_1196)))) != join(X_1196,X_702)
| join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) = join(X_1196,X_702) ),
inference(resolve,[$cnf( $equal(join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))),join(X_702,join(X_1196,meet(X_702,complement(X_1196))))) )],[refute_1_5829,refute_1_5830]) ).
cnf(refute_1_5832,plain,
join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) = join(X_1196,X_702),
inference(resolve,[$cnf( $equal(join(X_702,join(X_1196,meet(X_702,complement(X_1196)))),join(X_1196,X_702)) )],[refute_1_5828,refute_1_5831]) ).
cnf(refute_1_5833,plain,
meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)) = meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(X_702))),bind(X_602,$fot(join(X_1196,meet(X_702,complement(X_1196)))))]]) ).
cnf(refute_1_5834,plain,
join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),
introduced(tautology,[refl,[$fot(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))))]]) ).
cnf(refute_1_5835,plain,
( join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) != join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))
| meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)) != meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))
| join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))) ),[1,1],$fot(meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196)))))]]) ).
cnf(refute_1_5836,plain,
( meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)) != meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))
| join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) ),
inference(resolve,[$cnf( $equal(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))) )],[refute_1_5834,refute_1_5835]) ).
cnf(refute_1_5837,plain,
join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))),
inference(resolve,[$cnf( $equal(meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)),meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) )],[refute_1_5833,refute_1_5836]) ).
cnf(refute_1_5838,plain,
( join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) != join(X_1196,X_702)
| join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) != join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196)))))
| join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_1196,X_702) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))))),bind(Y,$fot(join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))))),bind(Z,$fot(join(X_1196,X_702)))]]) ).
cnf(refute_1_5839,plain,
( join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))) != join(X_1196,X_702)
| join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_1196,X_702) ),
inference(resolve,[$cnf( $equal(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196)))))) )],[refute_1_5837,refute_1_5838]) ).
cnf(refute_1_5840,plain,
join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) = join(X_1196,X_702),
inference(resolve,[$cnf( $equal(join(X_702,meet(complement(X_702),join(X_1196,meet(X_702,complement(X_1196))))),join(X_1196,X_702)) )],[refute_1_5832,refute_1_5839]) ).
cnf(refute_1_5841,plain,
( join(X_1196,meet(X_702,complement(X_1196))) != join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))
| join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))) != join(X_1196,X_702)
| join(X_1196,meet(X_702,complement(X_1196))) = join(X_1196,X_702) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_1196,meet(X_702,complement(X_1196))),join(X_1196,X_702)) ),[0],$fot(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))))]]) ).
cnf(refute_1_5842,plain,
( join(X_1196,meet(X_702,complement(X_1196))) != join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))
| join(X_1196,meet(X_702,complement(X_1196))) = join(X_1196,X_702) ),
inference(resolve,[$cnf( $equal(join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702))),join(X_1196,X_702)) )],[refute_1_5840,refute_1_5841]) ).
cnf(refute_1_5843,plain,
join(X_1196,meet(X_702,complement(X_1196))) = join(X_1196,X_702),
inference(resolve,[$cnf( $equal(join(X_1196,meet(X_702,complement(X_1196))),join(X_702,meet(join(X_1196,meet(X_702,complement(X_1196))),complement(X_702)))) )],[refute_1_5827,refute_1_5842]) ).
cnf(refute_1_5844,plain,
join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_5843:[bind(X_1196,$fot(skolemFOFtoCNF_X0_1)),bind(X_702,$fot(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5845,plain,
( join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_5846,plain,
( join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5844,refute_1_5845]) ).
cnf(refute_1_5847,plain,
join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5816,refute_1_5846]) ).
cnf(refute_1_5848,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5849,plain,
( composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5847,refute_1_5848]) ).
cnf(refute_1_5850,plain,
join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,join(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),skolemFOFtoCNF_X0_1) )],[refute_1_5815,refute_1_5849]) ).
cnf(refute_1_5851,plain,
( composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) ),[0],$fot(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5852,plain,
( composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1))),skolemFOFtoCNF_X0_1) )],[refute_1_5850,refute_1_5851]) ).
cnf(refute_1_5853,plain,
composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5747,refute_1_5852]) ).
cnf(refute_1_5854,plain,
( composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_5855,plain,
( composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))
| composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_5853,refute_1_5854]) ).
cnf(refute_1_5856,plain,
composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))) )],[refute_1_5343,refute_1_5855]) ).
cnf(refute_1_5857,plain,
composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_114:[bind(X_610,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5858,plain,
composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5859,plain,
( composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| join(one,skolemFOFtoCNF_X0_1) != one
| composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_5860,plain,
( join(one,skolemFOFtoCNF_X0_1) != one
| composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5858,refute_1_5859]) ).
cnf(refute_1_5861,plain,
composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_1221,refute_1_5860]) ).
cnf(refute_1_5862,plain,
( composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Z,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5863,plain,
( composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5861,refute_1_5862]) ).
cnf(refute_1_5864,plain,
composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(one,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5857,refute_1_5863]) ).
cnf(refute_1_5865,plain,
composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0_1)),bind(X2,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5866,plain,
( composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Z,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5867,plain,
( composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_5865,refute_1_5866]) ).
cnf(refute_1_5868,plain,
composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5864,refute_1_5867]) ).
cnf(refute_1_5869,plain,
( composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5870,plain,
( composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5868,refute_1_5869]) ).
cnf(refute_1_5871,plain,
composition(one,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_114:[bind(X_610,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5872,plain,
converse(join(one,skolemFOFtoCNF_X0_1)) = converse(join(one,skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(converse(join(one,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5873,plain,
( converse(join(one,skolemFOFtoCNF_X0_1)) != converse(join(one,skolemFOFtoCNF_X0_1))
| join(one,skolemFOFtoCNF_X0_1) != one
| converse(join(one,skolemFOFtoCNF_X0_1)) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0_1)),converse(join(one,skolemFOFtoCNF_X0_1))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_5874,plain,
( join(one,skolemFOFtoCNF_X0_1) != one
| converse(join(one,skolemFOFtoCNF_X0_1)) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0_1)),converse(join(one,skolemFOFtoCNF_X0_1))) )],[refute_1_5872,refute_1_5873]) ).
cnf(refute_1_5875,plain,
converse(join(one,skolemFOFtoCNF_X0_1)) = converse(one),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_1221,refute_1_5874]) ).
cnf(refute_1_5876,plain,
( converse(join(one,skolemFOFtoCNF_X0_1)) != converse(one)
| converse(one) != one
| converse(join(one,skolemFOFtoCNF_X0_1)) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,skolemFOFtoCNF_X0_1)))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_1_5877,plain,
( converse(one) != one
| converse(join(one,skolemFOFtoCNF_X0_1)) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0_1)),converse(one)) )],[refute_1_5875,refute_1_5876]) ).
cnf(refute_1_5878,plain,
converse(join(one,skolemFOFtoCNF_X0_1)) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_5877]) ).
cnf(refute_1_5879,plain,
join(one,converse(skolemFOFtoCNF_X0_1)) = converse(join(one,skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1436:[bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5880,plain,
( converse(join(one,skolemFOFtoCNF_X0_1)) != one
| join(one,converse(skolemFOFtoCNF_X0_1)) != converse(join(one,skolemFOFtoCNF_X0_1))
| join(one,converse(skolemFOFtoCNF_X0_1)) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,converse(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(converse(join(one,skolemFOFtoCNF_X0_1)))),bind(Z,$fot(one))]]) ).
cnf(refute_1_5881,plain,
( converse(join(one,skolemFOFtoCNF_X0_1)) != one
| join(one,converse(skolemFOFtoCNF_X0_1)) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0_1)),converse(join(one,skolemFOFtoCNF_X0_1))) )],[refute_1_5879,refute_1_5880]) ).
cnf(refute_1_5882,plain,
join(one,converse(skolemFOFtoCNF_X0_1)) = one,
inference(resolve,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0_1)),one) )],[refute_1_5878,refute_1_5881]) ).
cnf(refute_1_5883,plain,
composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),
introduced(tautology,[refl,[$fot(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5884,plain,
( composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) != composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)
| join(one,converse(skolemFOFtoCNF_X0_1)) != one
| composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = composition(one,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_5885,plain,
( join(one,converse(skolemFOFtoCNF_X0_1)) != one
| composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = composition(one,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)) )],[refute_1_5883,refute_1_5884]) ).
cnf(refute_1_5886,plain,
composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = composition(one,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0_1)),one) )],[refute_1_5882,refute_1_5885]) ).
cnf(refute_1_5887,plain,
( composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) != composition(one,skolemFOFtoCNF_X0_1)
| composition(one,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1))),bind(Y,$fot(composition(one,skolemFOFtoCNF_X0_1))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5888,plain,
( composition(one,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),composition(one,skolemFOFtoCNF_X0_1)) )],[refute_1_5886,refute_1_5887]) ).
cnf(refute_1_5889,plain,
composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(one,skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_5871,refute_1_5888]) ).
cnf(refute_1_5890,plain,
composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X2,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5891,plain,
join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_633,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5892,plain,
( composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1) != composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1))),bind(Z,$fot(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5893,plain,
( composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1) != composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1)) )],[refute_1_5891,refute_1_5892]) ).
cnf(refute_1_5894,plain,
join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0_1),one),skolemFOFtoCNF_X0_1),composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)) )],[refute_1_5890,refute_1_5893]) ).
cnf(refute_1_5895,plain,
join(X0,join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)),
inference(subst,[],[refute_1_676:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_5896,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_4663:[bind(X_702,$fot(skolemFOFtoCNF_X0_1)),bind(X_703,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_5897,plain,
join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))))) = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(subst,[],[refute_1_5542:[bind(X_955,$fot(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_5898,plain,
meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_3491:[bind(X_980,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(X_981,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5899,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(subst,[],[refute_1_4656:[bind(X2,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_5900,plain,
one = join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)),
inference(subst,[],[refute_1_711:[bind(X_702,$fot(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),bind(X_703,$fot(one))]]) ).
cnf(refute_1_5901,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(subst,[],[refute_1_3253:[bind(X_979,$fot(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),bind(X_981,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5902,plain,
complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) = complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011))),
inference(subst,[],[refute_1_5248:[bind(X_1030,$fot(one)),bind(X_979,$fot(X_1011)),bind(X_981,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5903,plain,
( complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)) != complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) = complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) ),[1],$fot(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011))))]]) ).
cnf(refute_1_5904,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) = complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011)),complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011)))) )],[refute_1_5902,refute_1_5903]) ).
cnf(refute_1_5905,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))) = complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1011))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1011))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0_1)),X_1011))) )],[refute_1_1358,refute_1_5904]) ).
cnf(refute_1_5906,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(subst,[],[refute_1_5905:[bind(X_1011,$fot(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_5907,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(skolemFOFtoCNF_X0_1)),bind(X_713,$fot(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_5908,plain,
converse(join(converse(X0),converse(composition(complement(converse(converse(X0))),top)))) = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))),
inference(subst,[],[refute_1_194:[bind(X_594,$fot(converse(composition(complement(converse(converse(X0))),top))))]]) ).
cnf(refute_1_5909,plain,
join(X_746,join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))) = top,
inference(subst,[],[refute_1_508:[bind(X_727,$fot(X_746)),bind(X_729,$fot(composition(X_631,converse(complement(converse(X_746))))))]]) ).
cnf(refute_1_5910,plain,
composition(join(X_631,one),converse(complement(converse(X_746)))) = join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746))))),
inference(subst,[],[refute_1_174:[bind(X_633,$fot(converse(complement(converse(X_746)))))]]) ).
cnf(refute_1_5911,plain,
( composition(join(X_631,one),converse(complement(converse(X_746)))) != join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))
| join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746))))) = composition(join(X_631,one),converse(complement(converse(X_746)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_631,one),converse(complement(converse(X_746)))))),bind(Y,$fot(join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))))]]) ).
cnf(refute_1_5912,plain,
join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746))))) = composition(join(X_631,one),converse(complement(converse(X_746)))),
inference(resolve,[$cnf( $equal(composition(join(X_631,one),converse(complement(converse(X_746)))),join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))) )],[refute_1_5910,refute_1_5911]) ).
cnf(refute_1_5913,plain,
( join(X_746,join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))) != top
| join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746))))) != composition(join(X_631,one),converse(complement(converse(X_746))))
| join(X_746,composition(join(X_631,one),converse(complement(converse(X_746))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_746,join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))),top) ),[0,1],$fot(composition(join(X_631,one),converse(complement(converse(X_746)))))]]) ).
cnf(refute_1_5914,plain,
( join(X_746,join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))) != top
| join(X_746,composition(join(X_631,one),converse(complement(converse(X_746))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746))))),composition(join(X_631,one),converse(complement(converse(X_746))))) )],[refute_1_5912,refute_1_5913]) ).
cnf(refute_1_5915,plain,
join(X_746,composition(join(X_631,one),converse(complement(converse(X_746))))) = top,
inference(resolve,[$cnf( $equal(join(X_746,join(converse(complement(converse(X_746))),composition(X_631,converse(complement(converse(X_746)))))),top) )],[refute_1_5909,refute_1_5914]) ).
cnf(refute_1_5916,plain,
join(X_903,composition(join(top,one),converse(complement(converse(X_903))))) = top,
inference(subst,[],[refute_1_5915:[bind(X_631,$fot(top)),bind(X_746,$fot(X_903))]]) ).
cnf(refute_1_5917,plain,
( join(X_903,composition(join(top,one),converse(complement(converse(X_903))))) != top
| join(top,one) != top
| join(X_903,composition(top,converse(complement(converse(X_903))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_903,composition(join(top,one),converse(complement(converse(X_903))))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_1_5918,plain,
( join(X_903,composition(join(top,one),converse(complement(converse(X_903))))) != top
| join(X_903,composition(top,converse(complement(converse(X_903))))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_1_1742,refute_1_5917]) ).
cnf(refute_1_5919,plain,
join(X_903,composition(top,converse(complement(converse(X_903))))) = top,
inference(resolve,[$cnf( $equal(join(X_903,composition(join(top,one),converse(complement(converse(X_903))))),top) )],[refute_1_5916,refute_1_5918]) ).
cnf(refute_1_5920,plain,
composition(top,converse(complement(converse(X_903)))) = converse(composition(complement(converse(X_903)),top)),
inference(subst,[],[refute_1_3770:[bind(X_595,$fot(complement(converse(X_903))))]]) ).
cnf(refute_1_5921,plain,
join(X_903,composition(top,converse(complement(converse(X_903))))) = join(X_903,composition(top,converse(complement(converse(X_903))))),
introduced(tautology,[refl,[$fot(join(X_903,composition(top,converse(complement(converse(X_903))))))]]) ).
cnf(refute_1_5922,plain,
( composition(top,converse(complement(converse(X_903)))) != converse(composition(complement(converse(X_903)),top))
| join(X_903,composition(top,converse(complement(converse(X_903))))) != join(X_903,composition(top,converse(complement(converse(X_903)))))
| join(X_903,composition(top,converse(complement(converse(X_903))))) = join(X_903,converse(composition(complement(converse(X_903)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_903,composition(top,converse(complement(converse(X_903))))),join(X_903,composition(top,converse(complement(converse(X_903)))))) ),[1,1],$fot(converse(composition(complement(converse(X_903)),top)))]]) ).
cnf(refute_1_5923,plain,
( composition(top,converse(complement(converse(X_903)))) != converse(composition(complement(converse(X_903)),top))
| join(X_903,composition(top,converse(complement(converse(X_903))))) = join(X_903,converse(composition(complement(converse(X_903)),top))) ),
inference(resolve,[$cnf( $equal(join(X_903,composition(top,converse(complement(converse(X_903))))),join(X_903,composition(top,converse(complement(converse(X_903)))))) )],[refute_1_5921,refute_1_5922]) ).
cnf(refute_1_5924,plain,
join(X_903,composition(top,converse(complement(converse(X_903))))) = join(X_903,converse(composition(complement(converse(X_903)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(converse(X_903)))),converse(composition(complement(converse(X_903)),top))) )],[refute_1_5920,refute_1_5923]) ).
cnf(refute_1_5925,plain,
( join(X_903,composition(top,converse(complement(converse(X_903))))) != join(X_903,converse(composition(complement(converse(X_903)),top)))
| join(X_903,composition(top,converse(complement(converse(X_903))))) != top
| join(X_903,converse(composition(complement(converse(X_903)),top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_903,composition(top,converse(complement(converse(X_903))))),top) ),[0],$fot(join(X_903,converse(composition(complement(converse(X_903)),top))))]]) ).
cnf(refute_1_5926,plain,
( join(X_903,composition(top,converse(complement(converse(X_903))))) != top
| join(X_903,converse(composition(complement(converse(X_903)),top))) = top ),
inference(resolve,[$cnf( $equal(join(X_903,composition(top,converse(complement(converse(X_903))))),join(X_903,converse(composition(complement(converse(X_903)),top)))) )],[refute_1_5924,refute_1_5925]) ).
cnf(refute_1_5927,plain,
join(X_903,converse(composition(complement(converse(X_903)),top))) = top,
inference(resolve,[$cnf( $equal(join(X_903,composition(top,converse(complement(converse(X_903))))),top) )],[refute_1_5919,refute_1_5926]) ).
cnf(refute_1_5928,plain,
join(converse(X0),converse(composition(complement(converse(converse(X0))),top))) = top,
inference(subst,[],[refute_1_5927:[bind(X_903,$fot(converse(X0)))]]) ).
cnf(refute_1_5929,plain,
( converse(join(converse(X0),converse(composition(complement(converse(converse(X0))),top)))) != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| join(converse(X0),converse(composition(complement(converse(converse(X0))),top))) != top
| converse(top) = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(composition(complement(converse(converse(X0))),top)))),join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_5930,plain,
( converse(join(converse(X0),converse(composition(complement(converse(converse(X0))),top)))) != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| converse(top) = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(composition(complement(converse(converse(X0))),top))),top) )],[refute_1_5928,refute_1_5929]) ).
cnf(refute_1_5931,plain,
converse(top) = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(composition(complement(converse(converse(X0))),top)))),join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) )],[refute_1_5908,refute_1_5930]) ).
cnf(refute_1_5932,plain,
( converse(top) != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| converse(top) != top
| top = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) ),[0],$fot(top)]]) ).
cnf(refute_1_5933,plain,
( converse(top) != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| top = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_5932]) ).
cnf(refute_1_5934,plain,
composition(complement(converse(converse(X0))),top) = composition(complement(converse(converse(X0))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(converse(X0))),top))]]) ).
cnf(refute_1_5935,plain,
( complement(converse(converse(X0))) != complement(X0)
| composition(complement(converse(converse(X0))),top) != composition(complement(converse(converse(X0))),top)
| composition(complement(converse(converse(X0))),top) = composition(complement(X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(converse(X0))),top),composition(complement(converse(converse(X0))),top)) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_1_5936,plain,
( complement(converse(converse(X0))) != complement(X0)
| composition(complement(converse(converse(X0))),top) = composition(complement(X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(converse(X0))),top),composition(complement(converse(converse(X0))),top)) )],[refute_1_5934,refute_1_5935]) ).
cnf(refute_1_5937,plain,
composition(complement(converse(converse(X0))),top) = composition(complement(X0),top),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_1_914,refute_1_5936]) ).
cnf(refute_1_5938,plain,
converse(converse(composition(complement(converse(converse(X0))),top))) = composition(complement(converse(converse(X0))),top),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(complement(converse(converse(X0))),top)))]]) ).
cnf(refute_1_5939,plain,
( composition(complement(converse(converse(X0))),top) != composition(complement(X0),top)
| converse(converse(composition(complement(converse(converse(X0))),top))) != composition(complement(converse(converse(X0))),top)
| converse(converse(composition(complement(converse(converse(X0))),top))) = composition(complement(X0),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(converse(composition(complement(converse(converse(X0))),top))))),bind(Y,$fot(composition(complement(converse(converse(X0))),top))),bind(Z,$fot(composition(complement(X0),top)))]]) ).
cnf(refute_1_5940,plain,
( composition(complement(converse(converse(X0))),top) != composition(complement(X0),top)
| converse(converse(composition(complement(converse(converse(X0))),top))) = composition(complement(X0),top) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(converse(X0))),top))),composition(complement(converse(converse(X0))),top)) )],[refute_1_5938,refute_1_5939]) ).
cnf(refute_1_5941,plain,
converse(converse(composition(complement(converse(converse(X0))),top))) = composition(complement(X0),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(converse(X0))),top),composition(complement(X0),top)) )],[refute_1_5937,refute_1_5940]) ).
cnf(refute_1_5942,plain,
join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) = join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))))]]) ).
cnf(refute_1_5943,plain,
( converse(converse(composition(complement(converse(converse(X0))),top))) != composition(complement(X0),top)
| join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) = join(X0,composition(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))),join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) ),[1,1],$fot(composition(complement(X0),top))]]) ).
cnf(refute_1_5944,plain,
( converse(converse(composition(complement(converse(converse(X0))),top))) != composition(complement(X0),top)
| join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) = join(X0,composition(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))),join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) )],[refute_1_5942,refute_1_5943]) ).
cnf(refute_1_5945,plain,
join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) = join(X0,composition(complement(X0),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(converse(X0))),top))),composition(complement(X0),top)) )],[refute_1_5941,refute_1_5944]) ).
cnf(refute_1_5946,plain,
( join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))) != join(X0,composition(complement(X0),top))
| top != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| top = join(X0,composition(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) ),[1],$fot(join(X0,composition(complement(X0),top)))]]) ).
cnf(refute_1_5947,plain,
( top != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| top = join(X0,composition(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(composition(complement(converse(converse(X0))),top)))),join(X0,composition(complement(X0),top))) )],[refute_1_5945,refute_1_5946]) ).
cnf(refute_1_5948,plain,
( converse(top) != join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))
| top = join(X0,composition(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) )],[refute_1_5933,refute_1_5947]) ).
cnf(refute_1_5949,plain,
top = join(X0,composition(complement(X0),top)),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(converse(composition(complement(converse(converse(X0))),top))))) )],[refute_1_5931,refute_1_5948]) ).
cnf(refute_1_5950,plain,
top = join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(complement(join(skolemFOFtoCNF_X0_1,complement(one))),top)),
inference(subst,[],[refute_1_5949:[bind(X0,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_5951,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| top != join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(complement(join(skolemFOFtoCNF_X0_1,complement(one))),top))
| top = join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(complement(join(skolemFOFtoCNF_X0_1,complement(one))),top))) ),[1,1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_5952,plain,
( top != join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(complement(join(skolemFOFtoCNF_X0_1,complement(one))),top))
| top = join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_5951]) ).
cnf(refute_1_5953,plain,
top = join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(top,join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(complement(join(skolemFOFtoCNF_X0_1,complement(one))),top))) )],[refute_1_5950,refute_1_5952]) ).
cnf(refute_1_5954,plain,
join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(one))),bind(X2,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_5955,plain,
( join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| top != join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| top = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_5956,plain,
( top != join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| top = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5954,refute_1_5955]) ).
cnf(refute_1_5957,plain,
top = join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(top,join(join(skolemFOFtoCNF_X0_1,complement(one)),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_5953,refute_1_5956]) ).
cnf(refute_1_5958,plain,
( top != join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_5959,plain,
join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5957,refute_1_5958]) ).
cnf(refute_1_5960,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != top
| complement(skolemFOFtoCNF_X0_1) = join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_5961,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),top) )],[refute_1_5959,refute_1_5960]) ).
cnf(refute_1_5962,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5907,refute_1_5961]) ).
cnf(refute_1_5963,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_5964,plain,
meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_5965,plain,
join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5966,plain,
( join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_5967,plain,
( meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5965,refute_1_5966]) ).
cnf(refute_1_5968,plain,
join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5964,refute_1_5967]) ).
cnf(refute_1_5969,plain,
join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5970,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_5971,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5969,refute_1_5970]) ).
cnf(refute_1_5972,plain,
join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_5971]) ).
cnf(refute_1_5973,plain,
( join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_5974,plain,
( join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5972,refute_1_5973]) ).
cnf(refute_1_5975,plain,
join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_5968,refute_1_5974]) ).
cnf(refute_1_5976,plain,
( join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_5977,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_5975,refute_1_5976]) ).
cnf(refute_1_5978,plain,
join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5963,refute_1_5977]) ).
cnf(refute_1_5979,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| complement(skolemFOFtoCNF_X0_1) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),[0],$fot(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_5980,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1))),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5978,refute_1_5979]) ).
cnf(refute_1_5981,plain,
complement(skolemFOFtoCNF_X0_1) = meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(top),meet(join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5962,refute_1_5980]) ).
cnf(refute_1_5982,plain,
( complement(skolemFOFtoCNF_X0_1) != meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0_1))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_5983,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5981,refute_1_5982]) ).
cnf(refute_1_5984,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1,0,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_5985,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_5983,refute_1_5984]) ).
cnf(refute_1_5986,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_5906,refute_1_5985]) ).
cnf(refute_1_5987,plain,
complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one)) = complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_4480:[bind(X_988,$fot(one)),bind(X_989,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_5988,plain,
complement(meet(X_676,X_675)) = join(complement(join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(meet(X_676,X_675))),bind(X_713,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_5989,plain,
( complement(meet(X_676,X_675)) != join(complement(join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))
| join(meet(X_676,X_675),complement(join(complement(X_675),X_676))) != X_675
| complement(meet(X_676,X_675)) = join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_676,X_675)),join(complement(join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))) ),[1,0,0],$fot(X_675)]]) ).
cnf(refute_1_5990,plain,
( complement(meet(X_676,X_675)) != join(complement(join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))
| complement(meet(X_676,X_675)) = join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),complement(join(complement(X_675),X_676))),X_675) )],[refute_1_456,refute_1_5989]) ).
cnf(refute_1_5991,plain,
complement(meet(X_676,X_675)) = join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))),
inference(resolve,[$cnf( $equal(complement(meet(X_676,X_675)),join(complement(join(meet(X_676,X_675),complement(join(complement(X_675),X_676)))),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))) )],[refute_1_5988,refute_1_5990]) ).
cnf(refute_1_5992,plain,
meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))) = meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(meet(X_676,X_675)))),bind(X_602,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_5993,plain,
join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) = join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))),
introduced(tautology,[refl,[$fot(join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))))]]) ).
cnf(refute_1_5994,plain,
( join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) != join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))
| meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))) != meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))
| join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))),join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))) ),[1,1],$fot(meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_5995,plain,
( meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))) != meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))
| join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))),join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))) )],[refute_1_5993,refute_1_5994]) ).
cnf(refute_1_5996,plain,
join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) )],[refute_1_5992,refute_1_5995]) ).
cnf(refute_1_5997,plain,
( complement(meet(X_676,X_675)) != join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))
| join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))) != join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))
| complement(meet(X_676,X_675)) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_676,X_675)),join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))) ),[0],$fot(join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))))]]) ).
cnf(refute_1_5998,plain,
( complement(meet(X_676,X_675)) != join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))
| complement(meet(X_676,X_675)) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675)))),join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))) )],[refute_1_5996,refute_1_5997]) ).
cnf(refute_1_5999,plain,
complement(meet(X_676,X_675)) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),
inference(resolve,[$cnf( $equal(complement(meet(X_676,X_675)),join(complement(X_675),meet(complement(join(complement(X_675),X_676)),complement(meet(X_676,X_675))))) )],[refute_1_5991,refute_1_5998]) ).
cnf(refute_1_6000,plain,
join(complement(X_675),complement(join(complement(X_675),X_676))) = complement(meet(X_675,join(complement(X_675),X_676))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(X_675)),bind(X1,$fot(join(complement(X_675),X_676)))]]) ).
cnf(refute_1_6001,plain,
join(X_676,meet(X_676,X_675)) = X_676,
inference(subst,[],[refute_1_1323:[bind(X_754,$fot(X_676))]]) ).
cnf(refute_1_6002,plain,
join(complement(X_675),join(X_676,meet(X_676,X_675))) = join(complement(X_675),join(X_676,meet(X_676,X_675))),
introduced(tautology,[refl,[$fot(join(complement(X_675),join(X_676,meet(X_676,X_675))))]]) ).
cnf(refute_1_6003,plain,
( join(X_676,meet(X_676,X_675)) != X_676
| join(complement(X_675),join(X_676,meet(X_676,X_675))) != join(complement(X_675),join(X_676,meet(X_676,X_675)))
| join(complement(X_675),join(X_676,meet(X_676,X_675))) = join(complement(X_675),X_676) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_675),join(X_676,meet(X_676,X_675))),join(complement(X_675),join(X_676,meet(X_676,X_675)))) ),[1,1],$fot(X_676)]]) ).
cnf(refute_1_6004,plain,
( join(X_676,meet(X_676,X_675)) != X_676
| join(complement(X_675),join(X_676,meet(X_676,X_675))) = join(complement(X_675),X_676) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(X_676,meet(X_676,X_675))),join(complement(X_675),join(X_676,meet(X_676,X_675)))) )],[refute_1_6002,refute_1_6003]) ).
cnf(refute_1_6005,plain,
join(complement(X_675),join(X_676,meet(X_676,X_675))) = join(complement(X_675),X_676),
inference(resolve,[$cnf( $equal(join(X_676,meet(X_676,X_675)),X_676) )],[refute_1_6001,refute_1_6004]) ).
cnf(refute_1_6006,plain,
join(complement(X_675),join(meet(X_676,X_675),X_676)) = join(complement(X_675),join(X_676,meet(X_676,X_675))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(complement(X_675))),bind(X1,$fot(meet(X_676,X_675))),bind(X_737,$fot(X_676))]]) ).
cnf(refute_1_6007,plain,
join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),join(meet(X_676,X_675),X_676)),
inference(subst,[],[refute_1_733:[bind(X_727,$fot(complement(X_675))),bind(X_728,$fot(meet(X_676,X_675))),bind(X_729,$fot(X_676))]]) ).
cnf(refute_1_6008,plain,
( join(complement(X_675),join(meet(X_676,X_675),X_676)) != join(complement(X_675),join(X_676,meet(X_676,X_675)))
| join(meet(X_676,X_675),join(complement(X_675),X_676)) != join(complement(X_675),join(meet(X_676,X_675),X_676))
| join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),join(X_676,meet(X_676,X_675))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_676,X_675),join(complement(X_675),X_676)))),bind(Y,$fot(join(complement(X_675),join(meet(X_676,X_675),X_676)))),bind(Z,$fot(join(complement(X_675),join(X_676,meet(X_676,X_675)))))]]) ).
cnf(refute_1_6009,plain,
( join(complement(X_675),join(meet(X_676,X_675),X_676)) != join(complement(X_675),join(X_676,meet(X_676,X_675)))
| join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),join(X_676,meet(X_676,X_675))) ),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),join(complement(X_675),X_676)),join(complement(X_675),join(meet(X_676,X_675),X_676))) )],[refute_1_6007,refute_1_6008]) ).
cnf(refute_1_6010,plain,
join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),join(X_676,meet(X_676,X_675))),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(meet(X_676,X_675),X_676)),join(complement(X_675),join(X_676,meet(X_676,X_675)))) )],[refute_1_6006,refute_1_6009]) ).
cnf(refute_1_6011,plain,
( join(complement(X_675),join(X_676,meet(X_676,X_675))) != join(complement(X_675),X_676)
| join(meet(X_676,X_675),join(complement(X_675),X_676)) != join(complement(X_675),join(X_676,meet(X_676,X_675)))
| join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),X_676) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(X_676,X_675),join(complement(X_675),X_676)))),bind(Y,$fot(join(complement(X_675),join(X_676,meet(X_676,X_675))))),bind(Z,$fot(join(complement(X_675),X_676)))]]) ).
cnf(refute_1_6012,plain,
( join(complement(X_675),join(X_676,meet(X_676,X_675))) != join(complement(X_675),X_676)
| join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),X_676) ),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),join(complement(X_675),X_676)),join(complement(X_675),join(X_676,meet(X_676,X_675)))) )],[refute_1_6010,refute_1_6011]) ).
cnf(refute_1_6013,plain,
join(meet(X_676,X_675),join(complement(X_675),X_676)) = join(complement(X_675),X_676),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(X_676,meet(X_676,X_675))),join(complement(X_675),X_676)) )],[refute_1_6005,refute_1_6012]) ).
cnf(refute_1_6014,plain,
complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) = complement(join(meet(X_676,X_675),join(complement(X_675),X_676))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_676,X_675),join(complement(X_675),X_676))))]]) ).
cnf(refute_1_6015,plain,
( complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) != complement(join(meet(X_676,X_675),join(complement(X_675),X_676)))
| join(meet(X_676,X_675),join(complement(X_675),X_676)) != join(complement(X_675),X_676)
| complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) = complement(join(complement(X_675),X_676)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_676,X_675),join(complement(X_675),X_676))),complement(join(meet(X_676,X_675),join(complement(X_675),X_676)))) ),[1,0],$fot(join(complement(X_675),X_676))]]) ).
cnf(refute_1_6016,plain,
( join(meet(X_676,X_675),join(complement(X_675),X_676)) != join(complement(X_675),X_676)
| complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) = complement(join(complement(X_675),X_676)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_676,X_675),join(complement(X_675),X_676))),complement(join(meet(X_676,X_675),join(complement(X_675),X_676)))) )],[refute_1_6014,refute_1_6015]) ).
cnf(refute_1_6017,plain,
complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) = complement(join(complement(X_675),X_676)),
inference(resolve,[$cnf( $equal(join(meet(X_676,X_675),join(complement(X_675),X_676)),join(complement(X_675),X_676)) )],[refute_1_6013,refute_1_6016]) ).
cnf(refute_1_6018,plain,
meet(complement(meet(X_980,X_981)),complement(X_675)) = complement(join(meet(X_980,X_981),complement(complement(X_675)))),
inference(subst,[],[refute_1_3237:[bind(X1,$fot(complement(X_675))),bind(X_601,$fot(X_980)),bind(X_602,$fot(X_981))]]) ).
cnf(refute_1_6019,plain,
( complement(complement(X_675)) != X_675
| meet(complement(meet(X_980,X_981)),complement(X_675)) != complement(join(meet(X_980,X_981),complement(complement(X_675))))
| meet(complement(meet(X_980,X_981)),complement(X_675)) = complement(join(meet(X_980,X_981),X_675)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_980,X_981)),complement(X_675)),complement(join(meet(X_980,X_981),complement(complement(X_675))))) ),[1,0,1],$fot(X_675)]]) ).
cnf(refute_1_6020,plain,
( meet(complement(meet(X_980,X_981)),complement(X_675)) != complement(join(meet(X_980,X_981),complement(complement(X_675))))
| meet(complement(meet(X_980,X_981)),complement(X_675)) = complement(join(meet(X_980,X_981),X_675)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_675)),X_675) )],[refute_1_365,refute_1_6019]) ).
cnf(refute_1_6021,plain,
meet(complement(meet(X_980,X_981)),complement(X_675)) = complement(join(meet(X_980,X_981),X_675)),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_980,X_981)),complement(X_675)),complement(join(meet(X_980,X_981),complement(complement(X_675))))) )],[refute_1_6018,refute_1_6020]) ).
cnf(refute_1_6022,plain,
meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) = complement(join(meet(X_676,X_675),join(complement(X_675),X_676))),
inference(subst,[],[refute_1_6021:[bind(X_675,$fot(join(complement(X_675),X_676))),bind(X_980,$fot(X_676)),bind(X_981,$fot(X_675))]]) ).
cnf(refute_1_6023,plain,
( complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) != complement(join(complement(X_675),X_676))
| meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) != complement(join(meet(X_676,X_675),join(complement(X_675),X_676)))
| meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) = complement(join(complement(X_675),X_676)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))),bind(Y,$fot(complement(join(meet(X_676,X_675),join(complement(X_675),X_676))))),bind(Z,$fot(complement(join(complement(X_675),X_676))))]]) ).
cnf(refute_1_6024,plain,
( complement(join(meet(X_676,X_675),join(complement(X_675),X_676))) != complement(join(complement(X_675),X_676))
| meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) = complement(join(complement(X_675),X_676)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))),complement(join(meet(X_676,X_675),join(complement(X_675),X_676)))) )],[refute_1_6022,refute_1_6023]) ).
cnf(refute_1_6025,plain,
meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) = complement(join(complement(X_675),X_676)),
inference(resolve,[$cnf( $equal(complement(join(meet(X_676,X_675),join(complement(X_675),X_676))),complement(join(complement(X_675),X_676))) )],[refute_1_6017,refute_1_6024]) ).
cnf(refute_1_6026,plain,
join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),
introduced(tautology,[refl,[$fot(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_6027,plain,
( join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) != join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))
| meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) != complement(join(complement(X_675),X_676))
| join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = join(complement(X_675),complement(join(complement(X_675),X_676))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))) ),[1,1],$fot(complement(join(complement(X_675),X_676)))]]) ).
cnf(refute_1_6028,plain,
( meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))) != complement(join(complement(X_675),X_676))
| join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = join(complement(X_675),complement(join(complement(X_675),X_676))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))) )],[refute_1_6026,refute_1_6027]) ).
cnf(refute_1_6029,plain,
join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = join(complement(X_675),complement(join(complement(X_675),X_676))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))),complement(join(complement(X_675),X_676))) )],[refute_1_6025,refute_1_6028]) ).
cnf(refute_1_6030,plain,
( join(complement(X_675),complement(join(complement(X_675),X_676))) != complement(meet(X_675,join(complement(X_675),X_676)))
| join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) != join(complement(X_675),complement(join(complement(X_675),X_676)))
| join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = complement(meet(X_675,join(complement(X_675),X_676))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))))),bind(Y,$fot(join(complement(X_675),complement(join(complement(X_675),X_676))))),bind(Z,$fot(complement(meet(X_675,join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_6031,plain,
( join(complement(X_675),complement(join(complement(X_675),X_676))) != complement(meet(X_675,join(complement(X_675),X_676)))
| join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = complement(meet(X_675,join(complement(X_675),X_676))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),join(complement(X_675),complement(join(complement(X_675),X_676)))) )],[refute_1_6029,refute_1_6030]) ).
cnf(refute_1_6032,plain,
join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) = complement(meet(X_675,join(complement(X_675),X_676))),
inference(resolve,[$cnf( $equal(join(complement(X_675),complement(join(complement(X_675),X_676))),complement(meet(X_675,join(complement(X_675),X_676)))) )],[refute_1_6000,refute_1_6031]) ).
cnf(refute_1_6033,plain,
( complement(meet(X_676,X_675)) != join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))
| join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))) != complement(meet(X_675,join(complement(X_675),X_676)))
| complement(meet(X_676,X_675)) = complement(meet(X_675,join(complement(X_675),X_676))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_676,X_675)),complement(meet(X_675,join(complement(X_675),X_676)))) ),[0],$fot(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_6034,plain,
( complement(meet(X_676,X_675)) != join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))
| complement(meet(X_676,X_675)) = complement(meet(X_675,join(complement(X_675),X_676))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676)))),complement(meet(X_675,join(complement(X_675),X_676)))) )],[refute_1_6032,refute_1_6033]) ).
cnf(refute_1_6035,plain,
complement(meet(X_676,X_675)) = complement(meet(X_675,join(complement(X_675),X_676))),
inference(resolve,[$cnf( $equal(complement(meet(X_676,X_675)),join(complement(X_675),meet(complement(meet(X_676,X_675)),complement(join(complement(X_675),X_676))))) )],[refute_1_5999,refute_1_6034]) ).
cnf(refute_1_6036,plain,
( complement(meet(X_676,X_675)) != complement(meet(X_675,join(complement(X_675),X_676)))
| complement(meet(X_675,join(complement(X_675),X_676))) = complement(meet(X_676,X_675)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(meet(X_676,X_675)))),bind(Y,$fot(complement(meet(X_675,join(complement(X_675),X_676)))))]]) ).
cnf(refute_1_6037,plain,
complement(meet(X_675,join(complement(X_675),X_676))) = complement(meet(X_676,X_675)),
inference(resolve,[$cnf( $equal(complement(meet(X_676,X_675)),complement(meet(X_675,join(complement(X_675),X_676)))) )],[refute_1_6035,refute_1_6036]) ).
cnf(refute_1_6038,plain,
complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one)),
inference(subst,[],[refute_1_6037:[bind(X_675,$fot(one)),bind(X_676,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6039,plain,
( complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one)) != complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one))
| complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Y,$fot(complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one)))),bind(Z,$fot(complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6040,plain,
( complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one)) != complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one))) )],[refute_1_6038,refute_1_6039]) ).
cnf(refute_1_6041,plain,
complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(complement(meet(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top),one)),complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_5987,refute_1_6040]) ).
cnf(refute_1_6042,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6043,plain,
( complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1,1],$fot(complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6044,plain,
( complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6042,refute_1_6043]) ).
cnf(refute_1_6045,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6041,refute_1_6044]) ).
cnf(refute_1_6046,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6047,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6045,refute_1_6046]) ).
cnf(refute_1_6048,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_6049,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_1343,refute_1_6048]) ).
cnf(refute_1_6050,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != complement(meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6047,refute_1_6049]) ).
cnf(refute_1_6051,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,join(complement(one),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),complement(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5986,refute_1_6050]) ).
cnf(refute_1_6052,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_6053,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_6051,refute_1_6052]) ).
cnf(refute_1_6054,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_5901,refute_1_6053]) ).
cnf(refute_1_6055,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = complement(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))))]]) ).
cnf(refute_1_6056,plain,
join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))) = complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))),
inference(subst,[],[refute_1_5905:[bind(X_1011,$fot(X_1045))]]) ).
cnf(refute_1_6057,plain,
( join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))) != complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)))
| complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))))),bind(Y,$fot(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)))))]]) ).
cnf(refute_1_6058,plain,
complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))) = join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))),complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)))) )],[refute_1_6056,refute_1_6057]) ).
cnf(refute_1_6059,plain,
( complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))) != join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) != complement(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)),complement(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))))]]) ).
cnf(refute_1_6060,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) != complement(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))),join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))) )],[refute_1_6058,refute_1_6059]) ).
cnf(refute_1_6061,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)),complement(complement(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045))))) )],[refute_1_6055,refute_1_6060]) ).
cnf(refute_1_6062,plain,
complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))) = meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)),
inference(subst,[],[refute_1_3255:[bind(X_979,$fot(meet(one,X_1045))),bind(X_981,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6063,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))) != meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) != complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)),complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))))) ),[1],$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)))]]) ).
cnf(refute_1_6064,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) != complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045)))),meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045))) )],[refute_1_6062,refute_1_6063]) ).
cnf(refute_1_6065,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) = meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)),complement(join(skolemFOFtoCNF_X0_1,complement(meet(one,X_1045))))) )],[refute_1_6061,refute_1_6064]) ).
cnf(refute_1_6066,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) != meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045))
| meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045))))]]) ).
cnf(refute_1_6067,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045)) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),X_1045)),meet(complement(skolemFOFtoCNF_X0_1),meet(one,X_1045))) )],[refute_1_6065,refute_1_6066]) ).
cnf(refute_1_6068,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_6067:[bind(X_1045,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6069,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6070,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6068,refute_1_6069]) ).
cnf(refute_1_6071,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6072,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(one))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1716,refute_1_6071]) ).
cnf(refute_1_6073,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = meet(one,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_6070,refute_1_6072]) ).
cnf(refute_1_6074,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = meet(one,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_6054,refute_1_6073]) ).
cnf(refute_1_6075,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| one != join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))
| one = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6076,plain,
( one != join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))
| one = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6074,refute_1_6075]) ).
cnf(refute_1_6077,plain,
one = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))) )],[refute_1_5900,refute_1_6076]) ).
cnf(refute_1_6078,plain,
complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_4381:[bind(X_982,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),bind(X_983,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6079,plain,
meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6080,plain,
( complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6081,plain,
( complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6079,refute_1_6080]) ).
cnf(refute_1_6082,plain,
meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6078,refute_1_6081]) ).
cnf(refute_1_6083,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) = meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6084,plain,
( meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) != meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))),bind(Y,$fot(meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Z,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6085,plain,
( meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one),meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6083,refute_1_6084]) ).
cnf(refute_1_6086,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6082,refute_1_6085]) ).
cnf(refute_1_6087,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)))]]) ).
cnf(refute_1_6088,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))
| meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) != meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))) ),[1,1],$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6089,plain,
( meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one) != meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))) )],[refute_1_6087,refute_1_6088]) ).
cnf(refute_1_6090,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6086,refute_1_6089]) ).
cnf(refute_1_6091,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| one != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))
| one = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))) ),[1],$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6092,plain,
( one != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))
| one = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6090,refute_1_6091]) ).
cnf(refute_1_6093,plain,
one = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),one))) )],[refute_1_6077,refute_1_6092]) ).
cnf(refute_1_6094,plain,
( one != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6095,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = one,
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6093,refute_1_6094]) ).
cnf(refute_1_6096,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != one
| join(complement(one),one) = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[0,1],$fot(one)]]) ).
cnf(refute_1_6097,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(complement(one),one) = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),one) )],[refute_1_6095,refute_1_6096]) ).
cnf(refute_1_6098,plain,
join(complement(one),one) = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_5899,refute_1_6097]) ).
cnf(refute_1_6099,plain,
( join(complement(one),one) != join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(complement(one),one) != top
| top = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),one),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[0],$fot(top)]]) ).
cnf(refute_1_6100,plain,
( join(complement(one),one) != join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| top = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),one),top) )],[refute_1_2783,refute_1_6099]) ).
cnf(refute_1_6101,plain,
top = join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(join(complement(one),one),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6098,refute_1_6100]) ).
cnf(refute_1_6102,plain,
( top != join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6103,plain,
join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6101,refute_1_6102]) ).
cnf(refute_1_6104,plain,
( join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != top
| meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(skolemFOFtoCNF_X0_1)
| meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = complement(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(skolemFOFtoCNF_X0_1)) ),[0,1],$fot(top)]]) ).
cnf(refute_1_6105,plain,
( meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(skolemFOFtoCNF_X0_1)
| meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),top) )],[refute_1_6103,refute_1_6104]) ).
cnf(refute_1_6106,plain,
meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_5898,refute_1_6105]) ).
cnf(refute_1_6107,plain,
meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top) = complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),
inference(subst,[],[refute_1_4839:[bind(X_677,$fot(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))))]]) ).
cnf(refute_1_6108,plain,
meet(complement(meet(X_1000,X_1001)),X_979) = complement(join(meet(X_1000,X_1001),complement(X_979))),
inference(subst,[],[refute_1_3253:[bind(X_981,$fot(meet(X_1000,X_1001)))]]) ).
cnf(refute_1_6109,plain,
complement(meet(X_1000,X_1001)) = complement(meet(X_1001,X_1000)),
inference(subst,[],[refute_1_4478:[bind(X_988,$fot(X_1000)),bind(X_989,$fot(X_1001))]]) ).
cnf(refute_1_6110,plain,
( complement(meet(X_1000,X_1001)) != complement(meet(X_1001,X_1000))
| meet(complement(meet(X_1000,X_1001)),X_979) != complement(join(meet(X_1000,X_1001),complement(X_979)))
| meet(complement(meet(X_1001,X_1000)),X_979) = complement(join(meet(X_1000,X_1001),complement(X_979))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_1000,X_1001)),X_979),complement(join(meet(X_1000,X_1001),complement(X_979)))) ),[0,0],$fot(complement(meet(X_1001,X_1000)))]]) ).
cnf(refute_1_6111,plain,
( meet(complement(meet(X_1000,X_1001)),X_979) != complement(join(meet(X_1000,X_1001),complement(X_979)))
| meet(complement(meet(X_1001,X_1000)),X_979) = complement(join(meet(X_1000,X_1001),complement(X_979))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1000,X_1001)),complement(meet(X_1001,X_1000))) )],[refute_1_6109,refute_1_6110]) ).
cnf(refute_1_6112,plain,
meet(complement(meet(X_1001,X_1000)),X_979) = complement(join(meet(X_1000,X_1001),complement(X_979))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_1000,X_1001)),X_979),complement(join(meet(X_1000,X_1001),complement(X_979)))) )],[refute_1_6108,refute_1_6111]) ).
cnf(refute_1_6113,plain,
complement(join(meet(X_1000,X_1001),complement(X_979))) = meet(complement(meet(X_1000,X_1001)),X_979),
inference(subst,[],[refute_1_3255:[bind(X_981,$fot(meet(X_1000,X_1001)))]]) ).
cnf(refute_1_6114,plain,
( complement(join(meet(X_1000,X_1001),complement(X_979))) != meet(complement(meet(X_1000,X_1001)),X_979)
| meet(complement(meet(X_1001,X_1000)),X_979) != complement(join(meet(X_1000,X_1001),complement(X_979)))
| meet(complement(meet(X_1001,X_1000)),X_979) = meet(complement(meet(X_1000,X_1001)),X_979) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_1001,X_1000)),X_979),complement(join(meet(X_1000,X_1001),complement(X_979)))) ),[1],$fot(meet(complement(meet(X_1000,X_1001)),X_979))]]) ).
cnf(refute_1_6115,plain,
( meet(complement(meet(X_1001,X_1000)),X_979) != complement(join(meet(X_1000,X_1001),complement(X_979)))
| meet(complement(meet(X_1001,X_1000)),X_979) = meet(complement(meet(X_1000,X_1001)),X_979) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_1000,X_1001),complement(X_979))),meet(complement(meet(X_1000,X_1001)),X_979)) )],[refute_1_6113,refute_1_6114]) ).
cnf(refute_1_6116,plain,
meet(complement(meet(X_1001,X_1000)),X_979) = meet(complement(meet(X_1000,X_1001)),X_979),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_1001,X_1000)),X_979),complement(join(meet(X_1000,X_1001),complement(X_979)))) )],[refute_1_6112,refute_1_6115]) ).
cnf(refute_1_6117,plain,
( meet(complement(meet(X_1001,X_1000)),X_979) != meet(complement(meet(X_1000,X_1001)),X_979)
| meet(complement(meet(X_1000,X_1001)),X_979) = meet(complement(meet(X_1001,X_1000)),X_979) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(meet(X_1001,X_1000)),X_979))),bind(Y,$fot(meet(complement(meet(X_1000,X_1001)),X_979)))]]) ).
cnf(refute_1_6118,plain,
meet(complement(meet(X_1000,X_1001)),X_979) = meet(complement(meet(X_1001,X_1000)),X_979),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_1001,X_1000)),X_979),meet(complement(meet(X_1000,X_1001)),X_979)) )],[refute_1_6116,refute_1_6117]) ).
cnf(refute_1_6119,plain,
meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top),
inference(subst,[],[refute_1_6118:[bind(X_1000,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(X_1001,$fot(skolemFOFtoCNF_X0_1)),bind(X_979,$fot(top))]]) ).
cnf(refute_1_6120,plain,
( meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) != meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top)
| meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top) != complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))
| meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top))),bind(Y,$fot(meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))))]]) ).
cnf(refute_1_6121,plain,
( meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top) != complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))
| meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top),meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top)) )],[refute_1_6119,refute_1_6120]) ).
cnf(refute_1_6122,plain,
meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) = complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),top),complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))) )],[refute_1_6107,refute_1_6121]) ).
cnf(refute_1_6123,plain,
( meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) != complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))
| meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) != complement(skolemFOFtoCNF_X0_1)
| complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top),complement(skolemFOFtoCNF_X0_1)) ),[0],$fot(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6124,plain,
( meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top) != complement(skolemFOFtoCNF_X0_1)
| complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top),complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))) )],[refute_1_6122,refute_1_6123]) ).
cnf(refute_1_6125,plain,
complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(meet(complement(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1)),top),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6106,refute_1_6124]) ).
cnf(refute_1_6126,plain,
( complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(skolemFOFtoCNF_X0_1)
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))))) != meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[0,1,1,0,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6127,plain,
( join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))))) != meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6125,refute_1_6126]) ).
cnf(refute_1_6128,plain,
join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_5897,refute_1_6127]) ).
cnf(refute_1_6129,plain,
converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = converse(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(converse(skolemFOFtoCNF_X0_1))),bind(X_594,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))]]) ).
cnf(refute_1_6130,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(complement(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_73:[bind(X0,$fot(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))))),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6131,plain,
converse(composition(converse(X_699),complement(composition(X_699,top)))) = composition(converse(complement(composition(X_699,top))),converse(converse(X_699))),
inference(subst,[],[refute_1_75:[bind(X0,$fot(converse(X_699))),bind(X1,$fot(complement(composition(X_699,top))))]]) ).
cnf(refute_1_6132,plain,
composition(converse(X_699),complement(composition(X_699,top))) = zero,
inference(subst,[],[refute_1_3597:[bind(X_616,$fot(X_699))]]) ).
cnf(refute_1_6133,plain,
( composition(converse(X_699),complement(composition(X_699,top))) != zero
| converse(composition(converse(X_699),complement(composition(X_699,top)))) != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| converse(zero) = composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_699),complement(composition(X_699,top)))),composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_1_6134,plain,
( converse(composition(converse(X_699),complement(composition(X_699,top)))) != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| converse(zero) = composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_699),complement(composition(X_699,top))),zero) )],[refute_1_6132,refute_1_6133]) ).
cnf(refute_1_6135,plain,
converse(zero) = composition(converse(complement(composition(X_699,top))),converse(converse(X_699))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_699),complement(composition(X_699,top)))),composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))) )],[refute_1_6131,refute_1_6134]) ).
cnf(refute_1_6136,plain,
( converse(zero) != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))) ),[0],$fot(zero)]]) ).
cnf(refute_1_6137,plain,
( converse(zero) != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| zero = composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_1_1596,refute_1_6136]) ).
cnf(refute_1_6138,plain,
converse(composition(converse(X_699),complement(composition(X_699,top)))) = composition(converse(complement(composition(X_699,top))),X_699),
inference(subst,[],[refute_1_80:[bind(X0,$fot(X_699)),bind(X_596,$fot(complement(composition(X_699,top))))]]) ).
cnf(refute_1_6139,plain,
composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) = converse(composition(converse(X_699),complement(composition(X_699,top)))),
inference(subst,[],[refute_1_1022:[bind(X0,$fot(converse(X_699))),bind(X1,$fot(complement(composition(X_699,top))))]]) ).
cnf(refute_1_6140,plain,
( composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) != converse(composition(converse(X_699),complement(composition(X_699,top))))
| converse(composition(converse(X_699),complement(composition(X_699,top)))) != composition(converse(complement(composition(X_699,top))),X_699)
| composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) = composition(converse(complement(composition(X_699,top))),X_699) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(complement(composition(X_699,top))),converse(converse(X_699))))),bind(Y,$fot(converse(composition(converse(X_699),complement(composition(X_699,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_699,top))),X_699)))]]) ).
cnf(refute_1_6141,plain,
( converse(composition(converse(X_699),complement(composition(X_699,top)))) != composition(converse(complement(composition(X_699,top))),X_699)
| composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) = composition(converse(complement(composition(X_699,top))),X_699) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_699,top))),converse(converse(X_699))),converse(composition(converse(X_699),complement(composition(X_699,top))))) )],[refute_1_6139,refute_1_6140]) ).
cnf(refute_1_6142,plain,
composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) = composition(converse(complement(composition(X_699,top))),X_699),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_699),complement(composition(X_699,top)))),composition(converse(complement(composition(X_699,top))),X_699)) )],[refute_1_6138,refute_1_6141]) ).
cnf(refute_1_6143,plain,
( composition(converse(complement(composition(X_699,top))),converse(converse(X_699))) != composition(converse(complement(composition(X_699,top))),X_699)
| zero != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| zero = composition(converse(complement(composition(X_699,top))),X_699) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))) ),[1],$fot(composition(converse(complement(composition(X_699,top))),X_699))]]) ).
cnf(refute_1_6144,plain,
( zero != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| zero = composition(converse(complement(composition(X_699,top))),X_699) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_699,top))),converse(converse(X_699))),composition(converse(complement(composition(X_699,top))),X_699)) )],[refute_1_6142,refute_1_6143]) ).
cnf(refute_1_6145,plain,
( converse(zero) != composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))
| zero = composition(converse(complement(composition(X_699,top))),X_699) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))) )],[refute_1_6137,refute_1_6144]) ).
cnf(refute_1_6146,plain,
zero = composition(converse(complement(composition(X_699,top))),X_699),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_699,top))),converse(converse(X_699)))) )],[refute_1_6135,refute_1_6145]) ).
cnf(refute_1_6147,plain,
zero = composition(converse(complement(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),complement(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_6146:[bind(X_699,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6148,plain,
converse(composition(join(X_849,X_848),top)) = composition(top,converse(join(X_849,X_848))),
inference(subst,[],[refute_1_3374:[bind(X_595,$fot(join(X_849,X_848)))]]) ).
cnf(refute_1_6149,plain,
composition(join(X_849,X_848),top) = composition(join(X_848,X_849),top),
inference(subst,[],[refute_1_1070:[bind(X_631,$fot(X_848)),bind(X_632,$fot(X_849)),bind(X_633,$fot(top))]]) ).
cnf(refute_1_6150,plain,
( composition(join(X_849,X_848),top) != composition(join(X_848,X_849),top)
| converse(composition(join(X_849,X_848),top)) != composition(top,converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),top)) = composition(top,converse(join(X_849,X_848))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_849,X_848),top)),composition(top,converse(join(X_849,X_848)))) ),[0,0],$fot(composition(join(X_848,X_849),top))]]) ).
cnf(refute_1_6151,plain,
( converse(composition(join(X_849,X_848),top)) != composition(top,converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),top)) = composition(top,converse(join(X_849,X_848))) ),
inference(resolve,[$cnf( $equal(composition(join(X_849,X_848),top),composition(join(X_848,X_849),top)) )],[refute_1_6149,refute_1_6150]) ).
cnf(refute_1_6152,plain,
converse(composition(join(X_848,X_849),top)) = composition(top,converse(join(X_849,X_848))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_849,X_848),top)),composition(top,converse(join(X_849,X_848)))) )],[refute_1_6148,refute_1_6151]) ).
cnf(refute_1_6153,plain,
composition(top,converse(join(X_849,X_848))) = converse(composition(join(X_849,X_848),top)),
inference(subst,[],[refute_1_3770:[bind(X_595,$fot(join(X_849,X_848)))]]) ).
cnf(refute_1_6154,plain,
( composition(top,converse(join(X_849,X_848))) != converse(composition(join(X_849,X_848),top))
| converse(composition(join(X_848,X_849),top)) != composition(top,converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),top)) = converse(composition(join(X_849,X_848),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_848,X_849),top)),composition(top,converse(join(X_849,X_848)))) ),[1],$fot(converse(composition(join(X_849,X_848),top)))]]) ).
cnf(refute_1_6155,plain,
( converse(composition(join(X_848,X_849),top)) != composition(top,converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),top)) = converse(composition(join(X_849,X_848),top)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(join(X_849,X_848))),converse(composition(join(X_849,X_848),top))) )],[refute_1_6153,refute_1_6154]) ).
cnf(refute_1_6156,plain,
converse(composition(join(X_848,X_849),top)) = converse(composition(join(X_849,X_848),top)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_848,X_849),top)),composition(top,converse(join(X_849,X_848)))) )],[refute_1_6152,refute_1_6155]) ).
cnf(refute_1_6157,plain,
converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)),
inference(subst,[],[refute_1_6156:[bind(X_848,$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),bind(X_849,$fot(complement(one)))]]) ).
cnf(refute_1_6158,plain,
converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(converse(complement(converse(skolemFOFtoCNF_X0_1))))),bind(X_711,$fot(one))]]) ).
cnf(refute_1_6159,plain,
one = join(one,complement(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_4217:[bind(X_767,$fot(meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6160,plain,
converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1483:[bind(X_723,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6161,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))
| join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) = converse(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6162,plain,
join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) = converse(complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6160,refute_1_6161]) ).
cnf(refute_1_6163,plain,
( join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| one != join(one,complement(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))
| one = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,complement(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1,0],$fot(converse(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6164,plain,
( one != join(one,complement(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))
| one = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1))))),converse(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6162,refute_1_6163]) ).
cnf(refute_1_6165,plain,
one = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(one,join(one,complement(join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6159,refute_1_6164]) ).
cnf(refute_1_6166,plain,
( one != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))) = one ),
inference(subst,[],[refute_1_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6167,plain,
join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6165,refute_1_6166]) ).
cnf(refute_1_6168,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))))
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))) != one
| converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_1_6169,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))))
| converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1))))),one) )],[refute_1_6167,refute_1_6168]) ).
cnf(refute_1_6170,plain,
converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6158,refute_1_6169]) ).
cnf(refute_1_6171,plain,
join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6172,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one))
| join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)) != join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))
| converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) ),[0],$fot(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)))]]) ).
cnf(refute_1_6173,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one))
| converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6171,refute_1_6172]) ).
cnf(refute_1_6174,plain,
converse(complement(converse(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one))) )],[refute_1_6170,refute_1_6173]) ).
cnf(refute_1_6175,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))
| join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) = converse(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6176,plain,
join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) = converse(complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6174,refute_1_6175]) ).
cnf(refute_1_6177,plain,
( converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))
| join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)),converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))) ),[1,0,0],$fot(converse(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6178,plain,
( converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))
| converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),converse(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6176,refute_1_6177]) ).
cnf(refute_1_6179,plain,
converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)),converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))) )],[refute_1_6157,refute_1_6178]) ).
cnf(refute_1_6180,plain,
converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6181,plain,
composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),
inference(subst,[],[refute_1_3770:[bind(X_595,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6182,plain,
composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6183,plain,
( composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) != composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))
| join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(converse(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6184,plain,
( join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6182,refute_1_6183]) ).
cnf(refute_1_6185,plain,
composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),converse(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6176,refute_1_6184]) ).
cnf(refute_1_6186,plain,
( composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) != composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1))))
| composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6187,plain,
( composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_6185,refute_1_6186]) ).
cnf(refute_1_6188,plain,
composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(converse(skolemFOFtoCNF_X0_1)))),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6181,refute_1_6187]) ).
cnf(refute_1_6189,plain,
converse(composition(X_726,join(one,X_726))) = converse(join(X_726,composition(X_726,X_726))),
inference(subst,[],[refute_1_2097:[bind(X0,$fot(X_726)),bind(X1,$fot(X_726))]]) ).
cnf(refute_1_6190,plain,
composition(join(X_726,one),X_726) = join(X_726,composition(X_726,X_726)),
inference(subst,[],[refute_1_174:[bind(X_631,$fot(X_726)),bind(X_633,$fot(X_726))]]) ).
cnf(refute_1_6191,plain,
( composition(join(X_726,one),X_726) != join(X_726,composition(X_726,X_726))
| join(X_726,composition(X_726,X_726)) = composition(join(X_726,one),X_726) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(X_726,one),X_726))),bind(Y,$fot(join(X_726,composition(X_726,X_726))))]]) ).
cnf(refute_1_6192,plain,
join(X_726,composition(X_726,X_726)) = composition(join(X_726,one),X_726),
inference(resolve,[$cnf( $equal(composition(join(X_726,one),X_726),join(X_726,composition(X_726,X_726))) )],[refute_1_6190,refute_1_6191]) ).
cnf(refute_1_6193,plain,
( converse(composition(X_726,join(one,X_726))) != converse(join(X_726,composition(X_726,X_726)))
| join(X_726,composition(X_726,X_726)) != composition(join(X_726,one),X_726)
| converse(composition(X_726,join(one,X_726))) = converse(composition(join(X_726,one),X_726)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_726,join(one,X_726))),converse(join(X_726,composition(X_726,X_726)))) ),[1,0],$fot(composition(join(X_726,one),X_726))]]) ).
cnf(refute_1_6194,plain,
( converse(composition(X_726,join(one,X_726))) != converse(join(X_726,composition(X_726,X_726)))
| converse(composition(X_726,join(one,X_726))) = converse(composition(join(X_726,one),X_726)) ),
inference(resolve,[$cnf( $equal(join(X_726,composition(X_726,X_726)),composition(join(X_726,one),X_726)) )],[refute_1_6192,refute_1_6193]) ).
cnf(refute_1_6195,plain,
converse(composition(X_726,join(one,X_726))) = converse(composition(join(X_726,one),X_726)),
inference(resolve,[$cnf( $equal(converse(composition(X_726,join(one,X_726))),converse(join(X_726,composition(X_726,X_726)))) )],[refute_1_6189,refute_1_6194]) ).
cnf(refute_1_6196,plain,
converse(composition(converse(join(complement(converse(one)),X_732)),join(one,converse(join(complement(converse(one)),X_732))))) = converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))),
inference(subst,[],[refute_1_6195:[bind(X_726,$fot(converse(join(complement(converse(one)),X_732))))]]) ).
cnf(refute_1_6197,plain,
converse(join(converse(X0),join(complement(converse(X0)),X_732))) = join(X0,converse(join(complement(converse(X0)),X_732))),
inference(subst,[],[refute_1_194:[bind(X_594,$fot(join(complement(converse(X0)),X_732)))]]) ).
cnf(refute_1_6198,plain,
join(converse(X0),join(complement(converse(X0)),X_732)) = top,
inference(subst,[],[refute_1_378:[bind(X_727,$fot(converse(X0))),bind(X_729,$fot(X_732))]]) ).
cnf(refute_1_6199,plain,
( converse(join(converse(X0),join(complement(converse(X0)),X_732))) != join(X0,converse(join(complement(converse(X0)),X_732)))
| join(converse(X0),join(complement(converse(X0)),X_732)) != top
| converse(top) = join(X0,converse(join(complement(converse(X0)),X_732))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(complement(converse(X0)),X_732))),join(X0,converse(join(complement(converse(X0)),X_732)))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_6200,plain,
( converse(join(converse(X0),join(complement(converse(X0)),X_732))) != join(X0,converse(join(complement(converse(X0)),X_732)))
| converse(top) = join(X0,converse(join(complement(converse(X0)),X_732))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(complement(converse(X0)),X_732)),top) )],[refute_1_6198,refute_1_6199]) ).
cnf(refute_1_6201,plain,
converse(top) = join(X0,converse(join(complement(converse(X0)),X_732))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(complement(converse(X0)),X_732))),join(X0,converse(join(complement(converse(X0)),X_732)))) )],[refute_1_6197,refute_1_6200]) ).
cnf(refute_1_6202,plain,
( converse(top) != join(X0,converse(join(complement(converse(X0)),X_732)))
| converse(top) != top
| top = join(X0,converse(join(complement(converse(X0)),X_732))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(join(complement(converse(X0)),X_732)))) ),[0],$fot(top)]]) ).
cnf(refute_1_6203,plain,
( converse(top) != join(X0,converse(join(complement(converse(X0)),X_732)))
| top = join(X0,converse(join(complement(converse(X0)),X_732))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_6202]) ).
cnf(refute_1_6204,plain,
top = join(X0,converse(join(complement(converse(X0)),X_732))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(join(complement(converse(X0)),X_732)))) )],[refute_1_6201,refute_1_6203]) ).
cnf(refute_1_6205,plain,
top = join(one,converse(join(complement(converse(one)),X_732))),
inference(subst,[],[refute_1_6204:[bind(X0,$fot(one))]]) ).
cnf(refute_1_6206,plain,
( top != join(one,converse(join(complement(converse(one)),X_732)))
| join(one,converse(join(complement(converse(one)),X_732))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,converse(join(complement(converse(one)),X_732)))))]]) ).
cnf(refute_1_6207,plain,
join(one,converse(join(complement(converse(one)),X_732))) = top,
inference(resolve,[$cnf( $equal(top,join(one,converse(join(complement(converse(one)),X_732)))) )],[refute_1_6205,refute_1_6206]) ).
cnf(refute_1_6208,plain,
( converse(composition(converse(join(complement(converse(one)),X_732)),join(one,converse(join(complement(converse(one)),X_732))))) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| join(one,converse(join(complement(converse(one)),X_732))) != top
| converse(composition(converse(join(complement(converse(one)),X_732)),top)) = converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(join(complement(converse(one)),X_732)),join(one,converse(join(complement(converse(one)),X_732))))),converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_1_6209,plain,
( converse(composition(converse(join(complement(converse(one)),X_732)),join(one,converse(join(complement(converse(one)),X_732))))) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| converse(composition(converse(join(complement(converse(one)),X_732)),top)) = converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(complement(converse(one)),X_732))),top) )],[refute_1_6207,refute_1_6208]) ).
cnf(refute_1_6210,plain,
converse(composition(converse(join(complement(converse(one)),X_732)),top)) = converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(complement(converse(one)),X_732)),join(one,converse(join(complement(converse(one)),X_732))))),converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))) )],[refute_1_6196,refute_1_6209]) ).
cnf(refute_1_6211,plain,
join(complement(converse(one)),X_732) = join(complement(converse(one)),X_732),
introduced(tautology,[refl,[$fot(join(complement(converse(one)),X_732))]]) ).
cnf(refute_1_6212,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),X_732) != join(complement(converse(one)),X_732)
| join(complement(converse(one)),X_732) = join(complement(one),X_732) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(one)),X_732),join(complement(converse(one)),X_732)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_6213,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),X_732) = join(complement(one),X_732) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),X_732),join(complement(converse(one)),X_732)) )],[refute_1_6211,refute_1_6212]) ).
cnf(refute_1_6214,plain,
join(complement(converse(one)),X_732) = join(complement(one),X_732),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_1_1869,refute_1_6213]) ).
cnf(refute_1_6215,plain,
composition(top,join(complement(converse(one)),X_732)) = composition(top,join(complement(converse(one)),X_732)),
introduced(tautology,[refl,[$fot(composition(top,join(complement(converse(one)),X_732)))]]) ).
cnf(refute_1_6216,plain,
( composition(top,join(complement(converse(one)),X_732)) != composition(top,join(complement(converse(one)),X_732))
| join(complement(converse(one)),X_732) != join(complement(one),X_732)
| composition(top,join(complement(converse(one)),X_732)) = composition(top,join(complement(one),X_732)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(complement(converse(one)),X_732)),composition(top,join(complement(converse(one)),X_732))) ),[1,1],$fot(join(complement(one),X_732))]]) ).
cnf(refute_1_6217,plain,
( join(complement(converse(one)),X_732) != join(complement(one),X_732)
| composition(top,join(complement(converse(one)),X_732)) = composition(top,join(complement(one),X_732)) ),
inference(resolve,[$cnf( $equal(composition(top,join(complement(converse(one)),X_732)),composition(top,join(complement(converse(one)),X_732))) )],[refute_1_6215,refute_1_6216]) ).
cnf(refute_1_6218,plain,
composition(top,join(complement(converse(one)),X_732)) = composition(top,join(complement(one),X_732)),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),X_732),join(complement(one),X_732)) )],[refute_1_6214,refute_1_6217]) ).
cnf(refute_1_6219,plain,
composition(converse(top),join(complement(converse(one)),X_732)) = composition(converse(top),join(complement(converse(one)),X_732)),
introduced(tautology,[refl,[$fot(composition(converse(top),join(complement(converse(one)),X_732)))]]) ).
cnf(refute_1_6220,plain,
( composition(converse(top),join(complement(converse(one)),X_732)) != composition(converse(top),join(complement(converse(one)),X_732))
| converse(top) != top
| composition(converse(top),join(complement(converse(one)),X_732)) = composition(top,join(complement(converse(one)),X_732)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),join(complement(converse(one)),X_732)),composition(converse(top),join(complement(converse(one)),X_732))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_6221,plain,
( converse(top) != top
| composition(converse(top),join(complement(converse(one)),X_732)) = composition(top,join(complement(converse(one)),X_732)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),join(complement(converse(one)),X_732)),composition(converse(top),join(complement(converse(one)),X_732))) )],[refute_1_6219,refute_1_6220]) ).
cnf(refute_1_6222,plain,
composition(converse(top),join(complement(converse(one)),X_732)) = composition(top,join(complement(converse(one)),X_732)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_6221]) ).
cnf(refute_1_6223,plain,
( composition(converse(top),join(complement(converse(one)),X_732)) != composition(top,join(complement(converse(one)),X_732))
| composition(top,join(complement(converse(one)),X_732)) != composition(top,join(complement(one),X_732))
| composition(converse(top),join(complement(converse(one)),X_732)) = composition(top,join(complement(one),X_732)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(top),join(complement(converse(one)),X_732)))),bind(Y,$fot(composition(top,join(complement(converse(one)),X_732)))),bind(Z,$fot(composition(top,join(complement(one),X_732))))]]) ).
cnf(refute_1_6224,plain,
( composition(top,join(complement(converse(one)),X_732)) != composition(top,join(complement(one),X_732))
| composition(converse(top),join(complement(converse(one)),X_732)) = composition(top,join(complement(one),X_732)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),join(complement(converse(one)),X_732)),composition(top,join(complement(converse(one)),X_732))) )],[refute_1_6222,refute_1_6223]) ).
cnf(refute_1_6225,plain,
composition(converse(top),join(complement(converse(one)),X_732)) = composition(top,join(complement(one),X_732)),
inference(resolve,[$cnf( $equal(composition(top,join(complement(converse(one)),X_732)),composition(top,join(complement(one),X_732))) )],[refute_1_6218,refute_1_6224]) ).
cnf(refute_1_6226,plain,
converse(composition(converse(join(complement(converse(one)),X_732)),top)) = composition(converse(top),join(complement(converse(one)),X_732)),
inference(subst,[],[refute_1_80:[bind(X0,$fot(join(complement(converse(one)),X_732))),bind(X_596,$fot(top))]]) ).
cnf(refute_1_6227,plain,
( composition(converse(top),join(complement(converse(one)),X_732)) != composition(top,join(complement(one),X_732))
| converse(composition(converse(join(complement(converse(one)),X_732)),top)) != composition(converse(top),join(complement(converse(one)),X_732))
| converse(composition(converse(join(complement(converse(one)),X_732)),top)) = composition(top,join(complement(one),X_732)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(converse(join(complement(converse(one)),X_732)),top)))),bind(Y,$fot(composition(converse(top),join(complement(converse(one)),X_732)))),bind(Z,$fot(composition(top,join(complement(one),X_732))))]]) ).
cnf(refute_1_6228,plain,
( composition(converse(top),join(complement(converse(one)),X_732)) != composition(top,join(complement(one),X_732))
| converse(composition(converse(join(complement(converse(one)),X_732)),top)) = composition(top,join(complement(one),X_732)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(complement(converse(one)),X_732)),top)),composition(converse(top),join(complement(converse(one)),X_732))) )],[refute_1_6226,refute_1_6227]) ).
cnf(refute_1_6229,plain,
converse(composition(converse(join(complement(converse(one)),X_732)),top)) = composition(top,join(complement(one),X_732)),
inference(resolve,[$cnf( $equal(composition(converse(top),join(complement(converse(one)),X_732)),composition(top,join(complement(one),X_732))) )],[refute_1_6225,refute_1_6228]) ).
cnf(refute_1_6230,plain,
( converse(composition(converse(join(complement(converse(one)),X_732)),top)) != composition(top,join(complement(one),X_732))
| converse(composition(converse(join(complement(converse(one)),X_732)),top)) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| composition(top,join(complement(one),X_732)) = converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(join(complement(converse(one)),X_732)),top)),converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))) ),[0],$fot(composition(top,join(complement(one),X_732)))]]) ).
cnf(refute_1_6231,plain,
( converse(composition(converse(join(complement(converse(one)),X_732)),top)) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| composition(top,join(complement(one),X_732)) = converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(complement(converse(one)),X_732)),top)),composition(top,join(complement(one),X_732))) )],[refute_1_6229,refute_1_6230]) ).
cnf(refute_1_6232,plain,
join(converse(one),join(complement(converse(one)),X_732)) = top,
inference(subst,[],[refute_1_378:[bind(X_727,$fot(converse(one))),bind(X_729,$fot(X_732))]]) ).
cnf(refute_1_6233,plain,
converse(join(one,converse(join(complement(converse(one)),X_732)))) = join(converse(one),join(complement(converse(one)),X_732)),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(join(complement(converse(one)),X_732))),bind(X_593,$fot(one))]]) ).
cnf(refute_1_6234,plain,
( converse(join(one,converse(join(complement(converse(one)),X_732)))) != join(converse(one),join(complement(converse(one)),X_732))
| join(converse(one),join(complement(converse(one)),X_732)) != top
| converse(join(one,converse(join(complement(converse(one)),X_732)))) = top ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,converse(join(complement(converse(one)),X_732)))))),bind(Y,$fot(join(converse(one),join(complement(converse(one)),X_732)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_6235,plain,
( join(converse(one),join(complement(converse(one)),X_732)) != top
| converse(join(one,converse(join(complement(converse(one)),X_732)))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(complement(converse(one)),X_732)))),join(converse(one),join(complement(converse(one)),X_732))) )],[refute_1_6233,refute_1_6234]) ).
cnf(refute_1_6236,plain,
converse(join(one,converse(join(complement(converse(one)),X_732)))) = top,
inference(resolve,[$cnf( $equal(join(converse(one),join(complement(converse(one)),X_732)),top) )],[refute_1_6232,refute_1_6235]) ).
cnf(refute_1_6237,plain,
composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),
introduced(tautology,[refl,[$fot(composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))))]]) ).
cnf(refute_1_6238,plain,
( composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))
| converse(join(one,converse(join(complement(converse(one)),X_732)))) != top
| composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_6239,plain,
( converse(join(one,converse(join(complement(converse(one)),X_732)))) != top
| composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) )],[refute_1_6237,refute_1_6238]) ).
cnf(refute_1_6240,plain,
composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),top),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(complement(converse(one)),X_732)))),top) )],[refute_1_6236,refute_1_6239]) ).
cnf(refute_1_6241,plain,
composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),
introduced(tautology,[refl,[$fot(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))))]]) ).
cnf(refute_1_6242,plain,
( composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))
| join(complement(converse(one)),X_732) != join(complement(one),X_732)
| composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) ),[1,0],$fot(join(complement(one),X_732))]]) ).
cnf(refute_1_6243,plain,
( join(complement(converse(one)),X_732) != join(complement(one),X_732)
| composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) )],[refute_1_6241,refute_1_6242]) ).
cnf(refute_1_6244,plain,
composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),X_732),join(complement(one),X_732)) )],[refute_1_6214,refute_1_6243]) ).
cnf(refute_1_6245,plain,
( composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))
| composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(one),X_732),top)
| composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))))),bind(Y,$fot(composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))))),bind(Z,$fot(composition(join(complement(one),X_732),top)))]]) ).
cnf(refute_1_6246,plain,
( composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(one),X_732),top)
| composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) )],[refute_1_6244,refute_1_6245]) ).
cnf(refute_1_6247,plain,
composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) = composition(join(complement(one),X_732),top),
inference(resolve,[$cnf( $equal(composition(join(complement(one),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(one),X_732),top)) )],[refute_1_6240,refute_1_6246]) ).
cnf(refute_1_6248,plain,
converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),
inference(subst,[],[refute_1_161:[bind(X0,$fot(join(complement(converse(one)),X_732))),bind(X_595,$fot(join(one,converse(join(complement(converse(one)),X_732)))))]]) ).
cnf(refute_1_6249,plain,
converse(composition(join(X_849,X_848),X1)) = composition(converse(X1),converse(join(X_849,X_848))),
inference(subst,[],[refute_1_75:[bind(X0,$fot(join(X_849,X_848)))]]) ).
cnf(refute_1_6250,plain,
composition(join(X_849,X_848),X1) = composition(join(X_848,X_849),X1),
inference(subst,[],[refute_1_1070:[bind(X_631,$fot(X_848)),bind(X_632,$fot(X_849)),bind(X_633,$fot(X1))]]) ).
cnf(refute_1_6251,plain,
( composition(join(X_849,X_848),X1) != composition(join(X_848,X_849),X1)
| converse(composition(join(X_849,X_848),X1)) != composition(converse(X1),converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),X1)) = composition(converse(X1),converse(join(X_849,X_848))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_849,X_848),X1)),composition(converse(X1),converse(join(X_849,X_848)))) ),[0,0],$fot(composition(join(X_848,X_849),X1))]]) ).
cnf(refute_1_6252,plain,
( converse(composition(join(X_849,X_848),X1)) != composition(converse(X1),converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),X1)) = composition(converse(X1),converse(join(X_849,X_848))) ),
inference(resolve,[$cnf( $equal(composition(join(X_849,X_848),X1),composition(join(X_848,X_849),X1)) )],[refute_1_6250,refute_1_6251]) ).
cnf(refute_1_6253,plain,
converse(composition(join(X_848,X_849),X1)) = composition(converse(X1),converse(join(X_849,X_848))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_849,X_848),X1)),composition(converse(X1),converse(join(X_849,X_848)))) )],[refute_1_6249,refute_1_6252]) ).
cnf(refute_1_6254,plain,
composition(converse(X1),converse(join(X_849,X_848))) = converse(composition(join(X_849,X_848),X1)),
inference(subst,[],[refute_1_1022:[bind(X0,$fot(join(X_849,X_848)))]]) ).
cnf(refute_1_6255,plain,
( composition(converse(X1),converse(join(X_849,X_848))) != converse(composition(join(X_849,X_848),X1))
| converse(composition(join(X_848,X_849),X1)) != composition(converse(X1),converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),X1)) = converse(composition(join(X_849,X_848),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_848,X_849),X1)),composition(converse(X1),converse(join(X_849,X_848)))) ),[1],$fot(converse(composition(join(X_849,X_848),X1)))]]) ).
cnf(refute_1_6256,plain,
( converse(composition(join(X_848,X_849),X1)) != composition(converse(X1),converse(join(X_849,X_848)))
| converse(composition(join(X_848,X_849),X1)) = converse(composition(join(X_849,X_848),X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(join(X_849,X_848))),converse(composition(join(X_849,X_848),X1))) )],[refute_1_6254,refute_1_6255]) ).
cnf(refute_1_6257,plain,
converse(composition(join(X_848,X_849),X1)) = converse(composition(join(X_849,X_848),X1)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_848,X_849),X1)),composition(converse(X1),converse(join(X_849,X_848)))) )],[refute_1_6253,refute_1_6256]) ).
cnf(refute_1_6258,plain,
( converse(composition(join(X_848,X_849),X1)) != converse(composition(join(X_849,X_848),X1))
| converse(composition(join(X_849,X_848),X1)) = converse(composition(join(X_848,X_849),X1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(join(X_848,X_849),X1)))),bind(Y,$fot(converse(composition(join(X_849,X_848),X1))))]]) ).
cnf(refute_1_6259,plain,
converse(composition(join(X_849,X_848),X1)) = converse(composition(join(X_848,X_849),X1)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_848,X_849),X1)),converse(composition(join(X_849,X_848),X1))) )],[refute_1_6257,refute_1_6258]) ).
cnf(refute_1_6260,plain,
converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732)))),
inference(subst,[],[refute_1_6259:[bind(X1,$fot(converse(join(complement(converse(one)),X_732)))),bind(X_848,$fot(one)),bind(X_849,$fot(converse(join(complement(converse(one)),X_732))))]]) ).
cnf(refute_1_6261,plain,
( converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) != converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732))))
| converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732)))) != composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))
| converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))))),bind(Y,$fot(converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732)))))),bind(Z,$fot(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))))]]) ).
cnf(refute_1_6262,plain,
( converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732)))) != composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))
| converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))),converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732))))) )],[refute_1_6260,refute_1_6261]) ).
cnf(refute_1_6263,plain,
converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,converse(join(complement(converse(one)),X_732))),converse(join(complement(converse(one)),X_732)))),composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) )],[refute_1_6248,refute_1_6262]) ).
cnf(refute_1_6264,plain,
( composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(one),X_732),top)
| converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) != composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))
| converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(one),X_732),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))))),bind(Y,$fot(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))))),bind(Z,$fot(composition(join(complement(one),X_732),top)))]]) ).
cnf(refute_1_6265,plain,
( composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))) != composition(join(complement(one),X_732),top)
| converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(one),X_732),top) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))),composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732)))))) )],[refute_1_6263,refute_1_6264]) ).
cnf(refute_1_6266,plain,
converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) = composition(join(complement(one),X_732),top),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(one)),X_732),converse(join(one,converse(join(complement(converse(one)),X_732))))),composition(join(complement(one),X_732),top)) )],[refute_1_6247,refute_1_6265]) ).
cnf(refute_1_6267,plain,
( composition(top,join(complement(one),X_732)) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))) != composition(join(complement(one),X_732),top)
| composition(top,join(complement(one),X_732)) = composition(join(complement(one),X_732),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,join(complement(one),X_732)),composition(join(complement(one),X_732),top)) ),[0],$fot(converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))))]]) ).
cnf(refute_1_6268,plain,
( composition(top,join(complement(one),X_732)) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| composition(top,join(complement(one),X_732)) = composition(join(complement(one),X_732),top) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732)))),composition(join(complement(one),X_732),top)) )],[refute_1_6266,refute_1_6267]) ).
cnf(refute_1_6269,plain,
( converse(composition(converse(join(complement(converse(one)),X_732)),top)) != converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))
| composition(top,join(complement(one),X_732)) = composition(join(complement(one),X_732),top) ),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),X_732)),converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))) )],[refute_1_6231,refute_1_6268]) ).
cnf(refute_1_6270,plain,
composition(top,join(complement(one),X_732)) = composition(join(complement(one),X_732),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(complement(converse(one)),X_732)),top)),converse(composition(join(converse(join(complement(converse(one)),X_732)),one),converse(join(complement(converse(one)),X_732))))) )],[refute_1_6210,refute_1_6269]) ).
cnf(refute_1_6271,plain,
( composition(top,join(complement(one),X_732)) != composition(join(complement(one),X_732),top)
| composition(join(complement(one),X_732),top) = composition(top,join(complement(one),X_732)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(top,join(complement(one),X_732)))),bind(Y,$fot(composition(join(complement(one),X_732),top)))]]) ).
cnf(refute_1_6272,plain,
composition(join(complement(one),X_732),top) = composition(top,join(complement(one),X_732)),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),X_732)),composition(join(complement(one),X_732),top)) )],[refute_1_6270,refute_1_6271]) ).
cnf(refute_1_6273,plain,
composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) = composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_6272:[bind(X_732,$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6274,plain,
( composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) != composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))
| composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))),bind(Y,$fot(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6275,plain,
( composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top),composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6273,refute_1_6274]) ).
cnf(refute_1_6276,plain,
composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))))),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6188,refute_1_6275]) ).
cnf(refute_1_6277,plain,
converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)),
introduced(tautology,[refl,[$fot(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)))]]) ).
cnf(refute_1_6278,plain,
( composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) != converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))
| converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)),converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))) ),[1,0],$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6279,plain,
( composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)),converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))) )],[refute_1_6277,refute_1_6278]) ).
cnf(refute_1_6280,plain,
converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6276,refute_1_6279]) ).
cnf(refute_1_6281,plain,
( converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) != converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))
| converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) != composition(complement(converse(skolemFOFtoCNF_X0_1)),top)
| converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)))),bind(Y,$fot(converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6282,plain,
( converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) != composition(complement(converse(skolemFOFtoCNF_X0_1)),top)
| converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)),converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6280,refute_1_6281]) ).
cnf(refute_1_6283,plain,
converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) )],[refute_1_6180,refute_1_6282]) ).
cnf(refute_1_6284,plain,
( converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) != composition(complement(converse(skolemFOFtoCNF_X0_1)),top)
| converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))
| converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)))),bind(Y,$fot(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6285,plain,
( converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)) != composition(complement(converse(skolemFOFtoCNF_X0_1)),top)
| converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)),converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top))) )],[refute_1_6157,refute_1_6284]) ).
cnf(refute_1_6286,plain,
converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) = composition(complement(converse(skolemFOFtoCNF_X0_1)),top),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1))))),top)),composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) )],[refute_1_6283,refute_1_6285]) ).
cnf(refute_1_6287,plain,
( converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != composition(complement(converse(skolemFOFtoCNF_X0_1)),top)
| converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))
| composition(complement(converse(skolemFOFtoCNF_X0_1)),top) = converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)),converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))) ),[0],$fot(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))]]) ).
cnf(refute_1_6288,plain,
( converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))
| composition(complement(converse(skolemFOFtoCNF_X0_1)),top) = converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)),composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) )],[refute_1_6286,refute_1_6287]) ).
cnf(refute_1_6289,plain,
composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) = composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6290,plain,
( composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) != composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1)))
| converse(top) != top
| composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_6291,plain,
( converse(top) != top
| composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6289,refute_1_6290]) ).
cnf(refute_1_6292,plain,
composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_6291]) ).
cnf(refute_1_6293,plain,
converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) = composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_80:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(X_596,$fot(top))]]) ).
cnf(refute_1_6294,plain,
( composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) != composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)))),bind(Y,$fot(composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6295,plain,
( composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)),composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6293,refute_1_6294]) ).
cnf(refute_1_6296,plain,
converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(skolemFOFtoCNF_X0_1))),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6292,refute_1_6295]) ).
cnf(refute_1_6297,plain,
( composition(complement(converse(skolemFOFtoCNF_X0_1)),top) != converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))
| converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| composition(complement(converse(skolemFOFtoCNF_X0_1)),top) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(converse(skolemFOFtoCNF_X0_1)),top),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)))]]) ).
cnf(refute_1_6298,plain,
( composition(complement(converse(skolemFOFtoCNF_X0_1)),top) != converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))
| composition(complement(converse(skolemFOFtoCNF_X0_1)),top) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6296,refute_1_6297]) ).
cnf(refute_1_6299,plain,
( converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)) != converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))
| composition(complement(converse(skolemFOFtoCNF_X0_1)),top) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0_1)),top),converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))) )],[refute_1_6288,refute_1_6298]) ).
cnf(refute_1_6300,plain,
composition(complement(converse(skolemFOFtoCNF_X0_1)),top) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(one)),top)),converse(composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top))) )],[refute_1_6179,refute_1_6299]) ).
cnf(refute_1_6301,plain,
( composition(complement(converse(skolemFOFtoCNF_X0_1)),top) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| zero != composition(converse(complement(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),complement(converse(skolemFOFtoCNF_X0_1)))
| zero = composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),complement(converse(skolemFOFtoCNF_X0_1)))) ),[1,0,0,0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6302,plain,
( zero != composition(converse(complement(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),complement(converse(skolemFOFtoCNF_X0_1)))
| zero = composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0_1)),top),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6300,refute_1_6301]) ).
cnf(refute_1_6303,plain,
zero = composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6147,refute_1_6302]) ).
cnf(refute_1_6304,plain,
( zero != composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))
| composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6305,plain,
composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6303,refute_1_6304]) ).
cnf(refute_1_6306,plain,
( composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))) != zero
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = complement(complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))))),complement(complement(converse(skolemFOFtoCNF_X0_1)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_1_6307,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = complement(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1))),zero) )],[refute_1_6305,refute_1_6306]) ).
cnf(refute_1_6308,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = complement(complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(composition(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))),complement(converse(skolemFOFtoCNF_X0_1)))))),complement(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6130,refute_1_6307]) ).
cnf(refute_1_6309,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)))]]) ).
cnf(refute_1_6310,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_6311,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero))) )],[refute_1_6309,refute_1_6310]) ).
cnf(refute_1_6312,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_3431,refute_1_6311]) ).
cnf(refute_1_6313,plain,
converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6314,plain,
composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))]]) ).
cnf(refute_1_6315,plain,
( composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) != composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))
| converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))
| composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6316,plain,
( converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))
| composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) )],[refute_1_6314,refute_1_6315]) ).
cnf(refute_1_6317,plain,
composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_6313,refute_1_6316]) ).
cnf(refute_1_6318,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)
| composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero))
| composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))]]) ).
cnf(refute_1_6319,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)
| composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero))) )],[refute_1_6317,refute_1_6318]) ).
cnf(refute_1_6320,plain,
composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) )],[refute_1_6312,refute_1_6319]) ).
cnf(refute_1_6321,plain,
join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))))]]) ).
cnf(refute_1_6322,plain,
( composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)
| join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))
| join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))]]) ).
cnf(refute_1_6323,plain,
( composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)
| join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))) )],[refute_1_6321,refute_1_6322]) ).
cnf(refute_1_6324,plain,
join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) )],[refute_1_6320,refute_1_6323]) ).
cnf(refute_1_6325,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))))]]) ).
cnf(refute_1_6326,plain,
( complement(complement(converse(skolemFOFtoCNF_X0_1))) != converse(skolemFOFtoCNF_X0_1)
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6327,plain,
( complement(complement(converse(skolemFOFtoCNF_X0_1))) != converse(skolemFOFtoCNF_X0_1)
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))) )],[refute_1_6325,refute_1_6326]) ).
cnf(refute_1_6328,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_1672,refute_1_6327]) ).
cnf(refute_1_6329,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))
| join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))))]]) ).
cnf(refute_1_6330,plain,
( join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero)))) )],[refute_1_6328,refute_1_6329]) ).
cnf(refute_1_6331,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) = join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) )],[refute_1_6324,refute_1_6330]) ).
cnf(refute_1_6332,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = complement(complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),complement(complement(converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))]]) ).
cnf(refute_1_6333,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = complement(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) )],[refute_1_6331,refute_1_6332]) ).
cnf(refute_1_6334,plain,
( complement(complement(converse(skolemFOFtoCNF_X0_1))) != converse(skolemFOFtoCNF_X0_1)
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),complement(complement(converse(skolemFOFtoCNF_X0_1)))) ),[1],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6335,plain,
( join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_1672,refute_1_6334]) ).
cnf(refute_1_6336,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))) != complement(complement(converse(skolemFOFtoCNF_X0_1)))
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),complement(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6333,refute_1_6335]) ).
cnf(refute_1_6337,plain,
join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0_1))),composition(converse(converse(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))),complement(zero))),complement(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6308,refute_1_6336]) ).
cnf(refute_1_6338,plain,
( converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != converse(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))
| join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) != converse(skolemFOFtoCNF_X0_1)
| converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = converse(converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))),converse(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6339,plain,
( converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != converse(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))
| converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = converse(converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_6337,refute_1_6338]) ).
cnf(refute_1_6340,plain,
converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = converse(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))),converse(join(converse(skolemFOFtoCNF_X0_1),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))) )],[refute_1_6129,refute_1_6339]) ).
cnf(refute_1_6341,plain,
join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),
inference(subst,[],[refute_1_6:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))))]]) ).
cnf(refute_1_6342,plain,
converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_1541:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X_593,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))]]) ).
cnf(refute_1_6343,plain,
( converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1)
| join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))
| converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))))]]) ).
cnf(refute_1_6344,plain,
( join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))
| converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))),join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1)) )],[refute_1_6342,refute_1_6343]) ).
cnf(refute_1_6345,plain,
converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))) )],[refute_1_6341,refute_1_6344]) ).
cnf(refute_1_6346,plain,
( converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != converse(converse(skolemFOFtoCNF_X0_1))
| converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = converse(converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))),converse(converse(skolemFOFtoCNF_X0_1))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))))]]) ).
cnf(refute_1_6347,plain,
( converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != converse(converse(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = converse(converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))) )],[refute_1_6345,refute_1_6346]) ).
cnf(refute_1_6348,plain,
converse(converse(skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_77:[bind(X0,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6349,plain,
( converse(converse(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) != converse(converse(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),converse(converse(skolemFOFtoCNF_X0_1))) ),[1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_6350,plain,
( join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) != converse(converse(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_6348,refute_1_6349]) ).
cnf(refute_1_6351,plain,
( converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))) != converse(converse(skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),converse(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6347,refute_1_6350]) ).
cnf(refute_1_6352,plain,
join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),converse(skolemFOFtoCNF_X0_1))),converse(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6340,refute_1_6351]) ).
cnf(refute_1_6353,plain,
converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(top,converse(complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_3374:[bind(X_595,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6354,plain,
converse(converse(complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6355,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = converse(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(complement(one))),bind(X_594,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6356,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_479:[bind(X_710,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(X_711,$fot(one))]]) ).
cnf(refute_1_6357,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(converse(skolemFOFtoCNF_X0_1))) != converse(meet(one,complement(skolemFOFtoCNF_X0_1)))
| complement(converse(skolemFOFtoCNF_X0_1)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6358,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| complement(converse(skolemFOFtoCNF_X0_1)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_3092,refute_1_6357]) ).
cnf(refute_1_6359,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(meet(one,complement(converse(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6356,refute_1_6358]) ).
cnf(refute_1_6360,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(complement(one))),bind(X_735,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6361,plain,
join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6362,plain,
( complement(complement(converse(skolemFOFtoCNF_X0_1))) != converse(skolemFOFtoCNF_X0_1)
| join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) != join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))
| join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = join(one,converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))),join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6363,plain,
( complement(complement(converse(skolemFOFtoCNF_X0_1))) != converse(skolemFOFtoCNF_X0_1)
| join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = join(one,converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))),join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_6361,refute_1_6362]) ).
cnf(refute_1_6364,plain,
join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = join(one,converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0_1))),converse(skolemFOFtoCNF_X0_1)) )],[refute_1_1672,refute_1_6363]) ).
cnf(refute_1_6365,plain,
( join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) != join(one,converse(skolemFOFtoCNF_X0_1))
| join(one,converse(skolemFOFtoCNF_X0_1)) != one
| join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(join(one,converse(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(one))]]) ).
cnf(refute_1_6366,plain,
( join(one,converse(skolemFOFtoCNF_X0_1)) != one
| join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))),join(one,converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6364,refute_1_6365]) ).
cnf(refute_1_6367,plain,
join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) = one,
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0_1)),one) )],[refute_1_5882,refute_1_6366]) ).
cnf(refute_1_6368,plain,
complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) = complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))),
introduced(tautology,[refl,[$fot(complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6369,plain,
( complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) != complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))
| join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) != one
| complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_6370,plain,
( join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))) != one
| complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6368,refute_1_6369]) ).
cnf(refute_1_6371,plain,
complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))),one) )],[refute_1_6367,refute_1_6370]) ).
cnf(refute_1_6372,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6373,plain,
( complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) != complement(one)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_6374,plain,
( complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))) != complement(one)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6372,refute_1_6373]) ).
cnf(refute_1_6375,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))),complement(one)) )],[refute_1_6371,refute_1_6374]) ).
cnf(refute_1_6376,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)))),bind(Z,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6377,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) )],[refute_1_6375,refute_1_6376]) ).
cnf(refute_1_6378,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6360,refute_1_6377]) ).
cnf(refute_1_6379,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[0],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6380,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))
| complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1)))))),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6378,refute_1_6379]) ).
cnf(refute_1_6381,plain,
complement(converse(skolemFOFtoCNF_X0_1)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(join(one,complement(complement(converse(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6359,refute_1_6380]) ).
cnf(refute_1_6382,plain,
( complement(converse(skolemFOFtoCNF_X0_1)) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6383,plain,
join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0_1)),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6381,refute_1_6382]) ).
cnf(refute_1_6384,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != converse(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(converse(skolemFOFtoCNF_X0_1))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = converse(complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),converse(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6385,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != converse(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = converse(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6383,refute_1_6384]) ).
cnf(refute_1_6386,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = converse(complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),converse(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6355,refute_1_6385]) ).
cnf(refute_1_6387,plain,
join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6388,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) != join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_6389,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6387,refute_1_6388]) ).
cnf(refute_1_6390,plain,
join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_1_2235,refute_1_6389]) ).
cnf(refute_1_6391,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6392,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6390,refute_1_6391]) ).
cnf(refute_1_6393,plain,
join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_4653,refute_1_6392]) ).
cnf(refute_1_6394,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one))) = join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(converse(complement(one)))),bind(X_735,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6395,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one))),
inference(subst,[],[refute_1_194:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_594,$fot(complement(one)))]]) ).
cnf(refute_1_6396,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one))) != join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one))))),bind(Z,$fot(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6397,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one))) != join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one)))) )],[refute_1_6395,refute_1_6396]) ).
cnf(refute_1_6398,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),converse(complement(one))),join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6394,refute_1_6397]) ).
cnf(refute_1_6399,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))))),bind(Y,$fot(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6400,plain,
( join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6398,refute_1_6399]) ).
cnf(refute_1_6401,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6393,refute_1_6400]) ).
cnf(refute_1_6402,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != complement(skolemFOFtoCNF_X0_1)
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = converse(complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),converse(complement(converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6403,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = converse(complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6401,refute_1_6402]) ).
cnf(refute_1_6404,plain,
complement(skolemFOFtoCNF_X0_1) = converse(complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one))),converse(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6386,refute_1_6403]) ).
cnf(refute_1_6405,plain,
( complement(skolemFOFtoCNF_X0_1) != converse(complement(converse(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0_1))),bind(Y,$fot(converse(complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6406,plain,
converse(complement(converse(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),converse(complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6404,refute_1_6405]) ).
cnf(refute_1_6407,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| converse(converse(complement(converse(skolemFOFtoCNF_X0_1)))) != complement(converse(skolemFOFtoCNF_X0_1))
| converse(complement(skolemFOFtoCNF_X0_1)) = complement(converse(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(converse(skolemFOFtoCNF_X0_1))) ),[0,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6408,plain,
( converse(converse(complement(converse(skolemFOFtoCNF_X0_1)))) != complement(converse(skolemFOFtoCNF_X0_1))
| converse(complement(skolemFOFtoCNF_X0_1)) = complement(converse(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6406,refute_1_6407]) ).
cnf(refute_1_6409,plain,
converse(complement(skolemFOFtoCNF_X0_1)) = complement(converse(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(skolemFOFtoCNF_X0_1)))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6354,refute_1_6408]) ).
cnf(refute_1_6410,plain,
( converse(complement(skolemFOFtoCNF_X0_1)) != complement(converse(skolemFOFtoCNF_X0_1))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(top,converse(complement(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(top,converse(complement(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6411,plain,
( converse(composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(top,converse(complement(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6409,refute_1_6410]) ).
cnf(refute_1_6412,plain,
converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(top,converse(complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6353,refute_1_6411]) ).
cnf(refute_1_6413,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top),
inference(subst,[],[refute_1_3347:[bind(X_596,$fot(complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6414,plain,
( converse(complement(converse(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6415,plain,
( converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6406,refute_1_6414]) ).
cnf(refute_1_6416,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),composition(converse(complement(converse(skolemFOFtoCNF_X0_1))),top)) )],[refute_1_6413,refute_1_6415]) ).
cnf(refute_1_6417,plain,
converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top)),
inference(subst,[],[refute_1_6156:[bind(X_848,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0_1))))),bind(X_849,$fot(complement(one)))]]) ).
cnf(refute_1_6418,plain,
( converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))) != complement(converse(skolemFOFtoCNF_X0_1))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top))) ),[1,0,0],$fot(complement(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6419,plain,
( converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),complement(converse(skolemFOFtoCNF_X0_1))) )],[refute_1_6383,refute_1_6418]) ).
cnf(refute_1_6420,plain,
converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top))) )],[refute_1_6417,refute_1_6419]) ).
cnf(refute_1_6421,plain,
composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6422,plain,
( composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))
| join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6423,plain,
( join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6421,refute_1_6422]) ).
cnf(refute_1_6424,plain,
composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6393,refute_1_6423]) ).
cnf(refute_1_6425,plain,
converse(composition(join(X_593,converse(X0)),top)) = composition(top,converse(join(X_593,converse(X0)))),
inference(subst,[],[refute_1_3374:[bind(X_595,$fot(join(X_593,converse(X0))))]]) ).
cnf(refute_1_6426,plain,
( converse(composition(join(X_593,converse(X0)),top)) != composition(top,converse(join(X_593,converse(X0))))
| converse(join(X_593,converse(X0))) != join(converse(X_593),X0)
| converse(composition(join(X_593,converse(X0)),top)) = composition(top,join(converse(X_593),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_593,converse(X0)),top)),composition(top,converse(join(X_593,converse(X0))))) ),[1,1],$fot(join(converse(X_593),X0))]]) ).
cnf(refute_1_6427,plain,
( converse(composition(join(X_593,converse(X0)),top)) != composition(top,converse(join(X_593,converse(X0))))
| converse(composition(join(X_593,converse(X0)),top)) = composition(top,join(converse(X_593),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_593,converse(X0))),join(converse(X_593),X0)) )],[refute_1_1541,refute_1_6426]) ).
cnf(refute_1_6428,plain,
converse(composition(join(X_593,converse(X0)),top)) = composition(top,join(converse(X_593),X0)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_593,converse(X0)),top)),composition(top,converse(join(X_593,converse(X0))))) )],[refute_1_6425,refute_1_6427]) ).
cnf(refute_1_6429,plain,
converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top)) = composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_6428:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))),bind(X_593,$fot(complement(one)))]]) ).
cnf(refute_1_6430,plain,
( converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top)) != composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)))),bind(Y,$fot(converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top)))),bind(Z,$fot(composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6431,plain,
( converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top)) != composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top))) )],[refute_1_6417,refute_1_6430]) ).
cnf(refute_1_6432,plain,
converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0_1)))),top)),composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6429,refute_1_6431]) ).
cnf(refute_1_6433,plain,
( composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)))),bind(Y,$fot(composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6434,plain,
( composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6432,refute_1_6433]) ).
cnf(refute_1_6435,plain,
converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(top,join(converse(complement(one)),meet(one,complement(skolemFOFtoCNF_X0_1)))),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6424,refute_1_6434]) ).
cnf(refute_1_6436,plain,
( converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) ),[0],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6437,plain,
( converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6435,refute_1_6436]) ).
cnf(refute_1_6438,plain,
converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) = converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6439,plain,
( composition(complement(converse(skolemFOFtoCNF_X0_1)),top) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) ),[1,0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6440,plain,
( composition(complement(converse(skolemFOFtoCNF_X0_1)),top) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6438,refute_1_6439]) ).
cnf(refute_1_6441,plain,
converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0_1)),top),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6300,refute_1_6440]) ).
cnf(refute_1_6442,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))) ),[0],$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6443,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_6441,refute_1_6442]) ).
cnf(refute_1_6444,plain,
( converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)) != converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6437,refute_1_6443]) ).
cnf(refute_1_6445,plain,
composition(top,complement(skolemFOFtoCNF_X0_1)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0_1))),complement(one)),top)),converse(composition(complement(converse(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6420,refute_1_6444]) ).
cnf(refute_1_6446,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6447,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_6445,refute_1_6446]) ).
cnf(refute_1_6448,plain,
( converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != composition(complement(skolemFOFtoCNF_X0_1),top)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| composition(top,complement(skolemFOFtoCNF_X0_1)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),composition(complement(skolemFOFtoCNF_X0_1),top)) ),[0],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6449,plain,
( converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != composition(complement(skolemFOFtoCNF_X0_1),top)
| composition(top,complement(skolemFOFtoCNF_X0_1)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6447,refute_1_6448]) ).
cnf(refute_1_6450,plain,
composition(top,complement(skolemFOFtoCNF_X0_1)) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6416,refute_1_6449]) ).
cnf(refute_1_6451,plain,
( composition(top,complement(skolemFOFtoCNF_X0_1)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| composition(complement(skolemFOFtoCNF_X0_1),top) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6452,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0_1)),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6450,refute_1_6451]) ).
cnf(refute_1_6453,plain,
converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6454,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) != converse(composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),converse(composition(complement(skolemFOFtoCNF_X0_1),top))) ),[1,0],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6455,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),converse(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6453,refute_1_6454]) ).
cnf(refute_1_6456,plain,
converse(composition(complement(skolemFOFtoCNF_X0_1),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6452,refute_1_6455]) ).
cnf(refute_1_6457,plain,
( converse(composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(skolemFOFtoCNF_X0_1),top)) != converse(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(composition(top,complement(skolemFOFtoCNF_X0_1))) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) ),[0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6458,plain,
( converse(composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| converse(composition(top,complement(skolemFOFtoCNF_X0_1))) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6456,refute_1_6457]) ).
cnf(refute_1_6459,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0_1))) = composition(top,complement(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6412,refute_1_6458]) ).
cnf(refute_1_6460,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0_1))) != composition(top,complement(converse(skolemFOFtoCNF_X0_1)))
| composition(top,complement(converse(skolemFOFtoCNF_X0_1))) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6461,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0_1))) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0_1))),composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_6459,refute_1_6460]) ).
cnf(refute_1_6462,plain,
complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6463,plain,
( complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))
| composition(top,complement(converse(skolemFOFtoCNF_X0_1))) != converse(composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6464,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0_1))) != converse(composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1))))) )],[refute_1_6462,refute_1_6463]) ).
cnf(refute_1_6465,plain,
complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0_1))),converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6461,refute_1_6464]) ).
cnf(refute_1_6466,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))]]) ).
cnf(refute_1_6467,plain,
( complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) = composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) ),[1,0],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6468,plain,
( complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) = composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) )],[refute_1_6466,refute_1_6467]) ).
cnf(refute_1_6469,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) = composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6465,refute_1_6468]) ).
cnf(refute_1_6470,plain,
converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))]]) ).
cnf(refute_1_6471,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) != composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)
| converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) != converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))
| converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) ),[1,0],$fot(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))]]) ).
cnf(refute_1_6472,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top) != composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)
| converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) )],[refute_1_6470,refute_1_6471]) ).
cnf(refute_1_6473,plain,
converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) = converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top),composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) )],[refute_1_6469,refute_1_6472]) ).
cnf(refute_1_6474,plain,
join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))))]]) ).
cnf(refute_1_6475,plain,
( converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) != converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) != join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))) ),[1,1],$fot(converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))]]) ).
cnf(refute_1_6476,plain,
( converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)) != converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)))) )],[refute_1_6474,refute_1_6475]) ).
cnf(refute_1_6477,plain,
join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top)),converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) )],[refute_1_6473,refute_1_6476]) ).
cnf(refute_1_6478,plain,
( join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) != join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),skolemFOFtoCNF_X0_1) ),[0],$fot(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))))]]) ).
cnf(refute_1_6479,plain,
( join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))) )],[refute_1_6477,refute_1_6478]) ).
cnf(refute_1_6480,plain,
join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0_1)))),top))),skolemFOFtoCNF_X0_1) )],[refute_1_6352,refute_1_6479]) ).
cnf(refute_1_6481,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_73:[bind(X0,$fot(top)),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6482,plain,
converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6483,plain,
converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)),
inference(subst,[],[refute_1_6156:[bind(X_848,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(X_849,$fot(complement(one)))]]) ).
cnf(refute_1_6484,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = join(composition(complement(skolemFOFtoCNF_X0_1),top),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_740:[bind(X_702,$fot(one)),bind(X_703,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6485,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(composition(complement(skolemFOFtoCNF_X0_1),top),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) != complement(one)
| composition(complement(skolemFOFtoCNF_X0_1),top) = join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(composition(complement(skolemFOFtoCNF_X0_1),top),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_1_6486,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(composition(complement(skolemFOFtoCNF_X0_1),top),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| composition(complement(skolemFOFtoCNF_X0_1),top) = join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),complement(one)) )],[refute_1_2142,refute_1_6485]) ).
cnf(refute_1_6487,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(composition(complement(skolemFOFtoCNF_X0_1),top),meet(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6484,refute_1_6486]) ).
cnf(refute_1_6488,plain,
join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) = join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6489,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))
| join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)) != join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(complement(skolemFOFtoCNF_X0_1),top) = join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)))]]) ).
cnf(refute_1_6490,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))
| composition(complement(skolemFOFtoCNF_X0_1),top) = join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6488,refute_1_6489]) ).
cnf(refute_1_6491,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one))) )],[refute_1_6487,refute_1_6490]) ).
cnf(refute_1_6492,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(Y,$fot(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6493,plain,
join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6491,refute_1_6492]) ).
cnf(refute_1_6494,plain,
( converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)),converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))) ),[1,0,0],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_6495,plain,
( converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))
| converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6493,refute_1_6494]) ).
cnf(refute_1_6496,plain,
converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)),
inference(resolve,[$cnf( $equal(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)),converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))) )],[refute_1_6483,refute_1_6495]) ).
cnf(refute_1_6497,plain,
composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),
introduced(tautology,[refl,[$fot(composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6498,plain,
( composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_6499,plain,
( join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6497,refute_1_6498]) ).
cnf(refute_1_6500,plain,
composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6493,refute_1_6499]) ).
cnf(refute_1_6501,plain,
composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) = composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_6272:[bind(X_732,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6502,plain,
( composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) != composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))
| composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))),bind(Y,$fot(composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))))),bind(Z,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6503,plain,
( composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top),composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6501,refute_1_6502]) ).
cnf(refute_1_6504,plain,
composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6500,refute_1_6503]) ).
cnf(refute_1_6505,plain,
converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) = converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)),
introduced(tautology,[refl,[$fot(converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)))]]) ).
cnf(refute_1_6506,plain,
( composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) != converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))
| converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)),converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))) ),[1,0],$fot(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6507,plain,
( composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)),converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))) )],[refute_1_6505,refute_1_6506]) ).
cnf(refute_1_6508,plain,
converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6504,refute_1_6507]) ).
cnf(refute_1_6509,plain,
( converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))
| converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))
| converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)))),bind(Y,$fot(converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)))),bind(Z,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_6510,plain,
( converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))
| converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)),converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top))) )],[refute_1_6483,refute_1_6509]) ).
cnf(refute_1_6511,plain,
converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),composition(complement(skolemFOFtoCNF_X0_1),top)),top)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6508,refute_1_6510]) ).
cnf(refute_1_6512,plain,
( converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))
| converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) = converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))) ),[0],$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6513,plain,
( converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) = converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6511,refute_1_6512]) ).
cnf(refute_1_6514,plain,
composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)))]]) ).
cnf(refute_1_6515,plain,
( composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0_1),composition(top,top))
| composition(top,top) != top
| composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)),composition(complement(skolemFOFtoCNF_X0_1),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_6516,plain,
( composition(top,top) != top
| composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)),composition(complement(skolemFOFtoCNF_X0_1),composition(top,top))) )],[refute_1_6514,refute_1_6515]) ).
cnf(refute_1_6517,plain,
composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_1_3614,refute_1_6516]) ).
cnf(refute_1_6518,plain,
composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) = composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)),
inference(subst,[],[refute_1_235:[bind(X0,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_1_6519,plain,
( composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) != composition(complement(skolemFOFtoCNF_X0_1),composition(top,top))
| composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6520,plain,
( composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top),composition(complement(skolemFOFtoCNF_X0_1),composition(top,top))) )],[refute_1_6518,refute_1_6519]) ).
cnf(refute_1_6521,plain,
composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),composition(top,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6517,refute_1_6520]) ).
cnf(refute_1_6522,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) = converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)))]]) ).
cnf(refute_1_6523,plain,
( composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) != composition(complement(skolemFOFtoCNF_X0_1),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) != converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_6524,plain,
( composition(composition(complement(skolemFOFtoCNF_X0_1),top),top) != composition(complement(skolemFOFtoCNF_X0_1),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))) )],[refute_1_6522,refute_1_6523]) ).
cnf(refute_1_6525,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6521,refute_1_6524]) ).
cnf(refute_1_6526,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)) != converse(composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) != converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))),converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))) ),[1],$fot(converse(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6527,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) != converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top)),converse(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6525,refute_1_6526]) ).
cnf(refute_1_6528,plain,
( converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)) != converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))),converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))) )],[refute_1_6513,refute_1_6527]) ).
cnf(refute_1_6529,plain,
converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) = converse(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(converse(composition(join(composition(complement(skolemFOFtoCNF_X0_1),top),complement(one)),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0_1),top),top))) )],[refute_1_6496,refute_1_6528]) ).
cnf(refute_1_6530,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) != converse(composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0,0],$fot(converse(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6531,plain,
( converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))),converse(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6529,refute_1_6530]) ).
cnf(refute_1_6532,plain,
converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6482,refute_1_6531]) ).
cnf(refute_1_6533,plain,
converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(subst,[],[refute_1_77:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6534,plain,
( converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(complement(skolemFOFtoCNF_X0_1),top)
| converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(complement(skolemFOFtoCNF_X0_1),top) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_6535,plain,
( converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(complement(skolemFOFtoCNF_X0_1),top) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6533,refute_1_6534]) ).
cnf(refute_1_6536,plain,
composition(complement(skolemFOFtoCNF_X0_1),top) = composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6532,refute_1_6535]) ).
cnf(refute_1_6537,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(Y,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6538,plain,
composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6536,refute_1_6537]) ).
cnf(refute_1_6539,plain,
( composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0,1,1,0],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_6540,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top)),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_6538,refute_1_6539]) ).
cnf(refute_1_6541,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(top,composition(complement(skolemFOFtoCNF_X0_1),top))))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6481,refute_1_6540]) ).
cnf(refute_1_6542,plain,
composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6543,plain,
( composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_6544,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6542,refute_1_6543]) ).
cnf(refute_1_6545,plain,
composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_1_3632,refute_1_6544]) ).
cnf(refute_1_6546,plain,
composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_3563:[bind(X0,$fot(one)),bind(X1,$fot(converse(top))),bind(X2,$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6547,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_2077:[bind(X_631,$fot(converse(top))),bind(X_633,$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6548,plain,
( composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_6549,plain,
( composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6547,refute_1_6548]) ).
cnf(refute_1_6550,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6546,refute_1_6549]) ).
cnf(refute_1_6551,plain,
( composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))))),bind(Z,$fot(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_6552,plain,
( composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6550,refute_1_6551]) ).
cnf(refute_1_6553,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6545,refute_1_6552]) ).
cnf(refute_1_6554,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0],$fot(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6555,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6553,refute_1_6554]) ).
cnf(refute_1_6556,plain,
composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(converse(top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6541,refute_1_6555]) ).
cnf(refute_1_6557,plain,
complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_6558,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(complement(skolemFOFtoCNF_X0_1),top) != composition(top,complement(skolemFOFtoCNF_X0_1))
| complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),[1,0],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6559,plain,
( composition(complement(skolemFOFtoCNF_X0_1),top) != composition(top,complement(skolemFOFtoCNF_X0_1))
| complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6557,refute_1_6558]) ).
cnf(refute_1_6560,plain,
complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0_1),top),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6452,refute_1_6559]) ).
cnf(refute_1_6561,plain,
composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_6562,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) ),[1,1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6563,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_6561,refute_1_6562]) ).
cnf(refute_1_6564,plain,
composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6560,refute_1_6563]) ).
cnf(refute_1_6565,plain,
( composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),[0],$fot(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6566,plain,
( composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6564,refute_1_6565]) ).
cnf(refute_1_6567,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),[1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6568,plain,
( composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6560,refute_1_6567]) ).
cnf(refute_1_6569,plain,
( composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6566,refute_1_6568]) ).
cnf(refute_1_6570,plain,
composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_6556,refute_1_6569]) ).
cnf(refute_1_6571,plain,
composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6572,plain,
( composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(top) != top
| composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_6573,plain,
( converse(top) != top
| composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6571,refute_1_6572]) ).
cnf(refute_1_6574,plain,
composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_496,refute_1_6573]) ).
cnf(refute_1_6575,plain,
( composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Y,$fot(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6576,plain,
( composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6574,refute_1_6575]) ).
cnf(refute_1_6577,plain,
composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6570,refute_1_6576]) ).
cnf(refute_1_6578,plain,
converse(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)) = composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_80:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6579,plain,
converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6580,plain,
converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6581,plain,
converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = join(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))),
inference(subst,[],[refute_1_44:[bind(X_675,$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(X_676,$fot(complement(one)))]]) ).
cnf(refute_1_6582,plain,
complement(one) = join(complement(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),
inference(subst,[],[refute_1_1214:[bind(X_675,$fot(one)),bind(X_713,$fot(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))]]) ).
cnf(refute_1_6583,plain,
join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = join(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(one)),bind(X1,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6584,plain,
( join(one,composition(top,complement(skolemFOFtoCNF_X0_1))) != top
| join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) != join(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),X2)
| join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),join(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_6585,plain,
( join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) != join(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),X2)
| join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),top) )],[refute_1_1745,refute_1_6584]) ).
cnf(refute_1_6586,plain,
join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),join(join(one,composition(top,complement(skolemFOFtoCNF_X0_1))),X2)) )],[refute_1_6583,refute_1_6585]) ).
cnf(refute_1_6587,plain,
( join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) != join(top,X2)
| join(top,X2) != top
| join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_1_6588,plain,
( join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) != join(top,X2)
| join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_1_1728,refute_1_6587]) ).
cnf(refute_1_6589,plain,
join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),join(top,X2)) )],[refute_1_6586,refute_1_6588]) ).
cnf(refute_1_6590,plain,
( complement(one) != join(complement(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) != top
| complement(one) = join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_6591,plain,
( complement(one) != join(complement(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| complement(one) = join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),top) )],[refute_1_6589,refute_1_6590]) ).
cnf(refute_1_6592,plain,
complement(one) = join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) )],[refute_1_6582,refute_1_6591]) ).
cnf(refute_1_6593,plain,
join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))))]]) ).
cnf(refute_1_6594,plain,
meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(one))),bind(X_602,$fot(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))]]) ).
cnf(refute_1_6595,plain,
join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))))]]) ).
cnf(refute_1_6596,plain,
( join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))
| join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) ),[1,1],$fot(meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))]]) ).
cnf(refute_1_6597,plain,
( meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))
| join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) )],[refute_1_6595,refute_1_6596]) ).
cnf(refute_1_6598,plain,
join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),
inference(resolve,[$cnf( $equal(meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)),meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) )],[refute_1_6594,refute_1_6597]) ).
cnf(refute_1_6599,plain,
join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))))]]) ).
cnf(refute_1_6600,plain,
( complement(top) != zero
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_6601,plain,
( complement(top) != zero
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) )],[refute_1_6599,refute_1_6600]) ).
cnf(refute_1_6602,plain,
join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_6601]) ).
cnf(refute_1_6603,plain,
( join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))))),bind(Y,$fot(join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))))),bind(Z,$fot(join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))))]]) ).
cnf(refute_1_6604,plain,
( join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) )],[refute_1_6602,refute_1_6603]) ).
cnf(refute_1_6605,plain,
join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))) )],[refute_1_6598,refute_1_6604]) ).
cnf(refute_1_6606,plain,
( join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))
| join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))))),bind(Y,$fot(join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))))),bind(Z,$fot(meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))))]]) ).
cnf(refute_1_6607,plain,
( join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)))) )],[refute_1_6605,refute_1_6606]) ).
cnf(refute_1_6608,plain,
join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))),meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) )],[refute_1_6593,refute_1_6607]) ).
cnf(refute_1_6609,plain,
( complement(one) != join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))
| complement(one) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) ),[0],$fot(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))))]]) ).
cnf(refute_1_6610,plain,
( complement(one) != join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))
| complement(one) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one))),meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2))) )],[refute_1_6608,refute_1_6609]) ).
cnf(refute_1_6611,plain,
complement(one) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(join(composition(top,complement(skolemFOFtoCNF_X0_1)),X2),complement(one)))) )],[refute_1_6592,refute_1_6610]) ).
cnf(refute_1_6612,plain,
complement(one) = meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),
inference(subst,[],[refute_1_6611:[bind(X2,$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_6613,plain,
converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_898:[bind(X_713,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6614,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6615,plain,
join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6613,refute_1_6614]) ).
cnf(refute_1_6616,plain,
( complement(one) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))
| join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| complement(one) = meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),[1,1],$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6617,plain,
( complement(one) != meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))
| complement(one) = meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6615,refute_1_6616]) ).
cnf(refute_1_6618,plain,
complement(one) = meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(composition(top,complement(skolemFOFtoCNF_X0_1)),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_6612,refute_1_6617]) ).
cnf(refute_1_6619,plain,
( complement(one) != meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = complement(one) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6620,plain,
meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6618,refute_1_6619]) ).
cnf(refute_1_6621,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))
| meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(one)
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),join(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_6622,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != join(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)) )],[refute_1_6620,refute_1_6621]) ).
cnf(refute_1_6623,plain,
converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),join(meet(complement(one),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))) )],[refute_1_6581,refute_1_6622]) ).
cnf(refute_1_6624,plain,
join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6625,plain,
join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) = join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(subst,[],[refute_1_877:[bind(X_744,$fot(complement(one))),bind(X_898,$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6626,plain,
( join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) != join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))))),bind(Y,$fot(join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),bind(Z,$fot(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))]]) ).
cnf(refute_1_6627,plain,
( join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))),join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6625,refute_1_6626]) ).
cnf(refute_1_6628,plain,
join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6624,refute_1_6627]) ).
cnf(refute_1_6629,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))
| join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[0],$fot(join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))))]]) ).
cnf(refute_1_6630,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one)))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6628,refute_1_6629]) ).
cnf(refute_1_6631,plain,
converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),join(complement(one),complement(join(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(one))))) )],[refute_1_6623,refute_1_6630]) ).
cnf(refute_1_6632,plain,
complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6633,plain,
converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))))),
inference(subst,[],[refute_1_898:[bind(X_713,$fot(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6634,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Y,$fot(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))]]) ).
cnf(refute_1_6635,plain,
complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6631,refute_1_6634]) ).
cnf(refute_1_6636,plain,
( complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))))) ),[1,1,0,0,0],$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6637,plain,
( converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6635,refute_1_6636]) ).
cnf(refute_1_6638,plain,
converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))))) )],[refute_1_6633,refute_1_6637]) ).
cnf(refute_1_6639,plain,
converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6640,plain,
complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_365:[bind(X_675,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6641,plain,
converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))]]) ).
cnf(refute_1_6642,plain,
( complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) != converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) ),[1,0],$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6643,plain,
( complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_6641,refute_1_6642]) ).
cnf(refute_1_6644,plain,
converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6635,refute_1_6643]) ).
cnf(refute_1_6645,plain,
( converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) != converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),bind(Y,$fot(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),bind(Z,$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6646,plain,
( converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6644,refute_1_6645]) ).
cnf(refute_1_6647,plain,
converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6580,refute_1_6646]) ).
cnf(refute_1_6648,plain,
complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))))]]) ).
cnf(refute_1_6649,plain,
( complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) != complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))
| converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) ),[1,0],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6650,plain,
( converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) )],[refute_1_6648,refute_1_6649]) ).
cnf(refute_1_6651,plain,
complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6647,refute_1_6650]) ).
cnf(refute_1_6652,plain,
( complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) != complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))))),bind(Y,$fot(complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6653,plain,
( complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6651,refute_1_6652]) ).
cnf(refute_1_6654,plain,
complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6640,refute_1_6653]) ).
cnf(refute_1_6655,plain,
converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))))]]) ).
cnf(refute_1_6656,plain,
( complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))))) ),[1,0],$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6657,plain,
( complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))))) )],[refute_1_6655,refute_1_6656]) ).
cnf(refute_1_6658,plain,
converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6654,refute_1_6657]) ).
cnf(refute_1_6659,plain,
( converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))))),bind(Y,$fot(converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6660,plain,
( converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6658,refute_1_6659]) ).
cnf(refute_1_6661,plain,
converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6639,refute_1_6660]) ).
cnf(refute_1_6662,plain,
( converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) ),[0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6663,plain,
( converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6661,refute_1_6662]) ).
cnf(refute_1_6664,plain,
complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6665,plain,
( complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))
| converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),[1,0],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6666,plain,
( converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_6664,refute_1_6665]) ).
cnf(refute_1_6667,plain,
complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6580,refute_1_6666]) ).
cnf(refute_1_6668,plain,
( complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Y,$fot(complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),bind(Z,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6669,plain,
( complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6667,refute_1_6668]) ).
cnf(refute_1_6670,plain,
complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6640,refute_1_6669]) ).
cnf(refute_1_6671,plain,
converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6672,plain,
( complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[1,0],$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6673,plain,
( complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6671,refute_1_6672]) ).
cnf(refute_1_6674,plain,
converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6670,refute_1_6673]) ).
cnf(refute_1_6675,plain,
( converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),bind(Y,$fot(converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6676,plain,
( converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6674,refute_1_6675]) ).
cnf(refute_1_6677,plain,
converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6639,refute_1_6676]) ).
cnf(refute_1_6678,plain,
join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6679,plain,
( converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6680,plain,
( converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6678,refute_1_6679]) ).
cnf(refute_1_6681,plain,
join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6677,refute_1_6680]) ).
cnf(refute_1_6682,plain,
join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(subst,[],[refute_1_1001:[bind(X_676,$fot(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),bind(X_735,$fot(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6683,plain,
( join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) != join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),bind(Y,$fot(join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),bind(Z,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))]]) ).
cnf(refute_1_6684,plain,
( join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6682,refute_1_6683]) ).
cnf(refute_1_6685,plain,
join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6681,refute_1_6684]) ).
cnf(refute_1_6686,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[0],$fot(join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))]]) ).
cnf(refute_1_6687,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6685,refute_1_6686]) ).
cnf(refute_1_6688,plain,
( converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))) != join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_6663,refute_1_6687]) ).
cnf(refute_1_6689,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))))),join(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),converse(complement(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_6638,refute_1_6688]) ).
cnf(refute_1_6690,plain,
converse(join(converse(X0),converse(complement(converse(complement(converse(X0))))))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))),
inference(subst,[],[refute_1_194:[bind(X_594,$fot(converse(complement(converse(complement(converse(X0)))))))]]) ).
cnf(refute_1_6691,plain,
converse(complement(converse(complement(converse(X0))))) = join(converse(X0),converse(complement(converse(complement(converse(X0)))))),
inference(subst,[],[refute_1_898:[bind(X_713,$fot(converse(X0)))]]) ).
cnf(refute_1_6692,plain,
( converse(complement(converse(complement(converse(X0))))) != join(converse(X0),converse(complement(converse(complement(converse(X0))))))
| join(converse(X0),converse(complement(converse(complement(converse(X0)))))) = converse(complement(converse(complement(converse(X0))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(complement(converse(complement(converse(X0))))))),bind(Y,$fot(join(converse(X0),converse(complement(converse(complement(converse(X0))))))))]]) ).
cnf(refute_1_6693,plain,
join(converse(X0),converse(complement(converse(complement(converse(X0)))))) = converse(complement(converse(complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(X0))))),join(converse(X0),converse(complement(converse(complement(converse(X0))))))) )],[refute_1_6691,refute_1_6692]) ).
cnf(refute_1_6694,plain,
( converse(join(converse(X0),converse(complement(converse(complement(converse(X0))))))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| join(converse(X0),converse(complement(converse(complement(converse(X0)))))) != converse(complement(converse(complement(converse(X0)))))
| converse(converse(complement(converse(complement(converse(X0)))))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(complement(converse(complement(converse(X0))))))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) ),[0,0],$fot(converse(complement(converse(complement(converse(X0))))))]]) ).
cnf(refute_1_6695,plain,
( converse(join(converse(X0),converse(complement(converse(complement(converse(X0))))))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| converse(converse(complement(converse(complement(converse(X0)))))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(converse(complement(converse(X0)))))),converse(complement(converse(complement(converse(X0)))))) )],[refute_1_6693,refute_1_6694]) ).
cnf(refute_1_6696,plain,
converse(converse(complement(converse(complement(converse(X0)))))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(complement(converse(complement(converse(X0))))))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) )],[refute_1_6690,refute_1_6695]) ).
cnf(refute_1_6697,plain,
converse(converse(complement(converse(complement(converse(X0)))))) = complement(converse(complement(converse(X0)))),
inference(subst,[],[refute_1_77:[bind(X0,$fot(complement(converse(complement(converse(X0))))))]]) ).
cnf(refute_1_6698,plain,
( converse(converse(complement(converse(complement(converse(X0)))))) != complement(converse(complement(converse(X0))))
| converse(converse(complement(converse(complement(converse(X0)))))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| complement(converse(complement(converse(X0)))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(complement(converse(X0)))))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) ),[0],$fot(complement(converse(complement(converse(X0)))))]]) ).
cnf(refute_1_6699,plain,
( converse(converse(complement(converse(complement(converse(X0)))))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| complement(converse(complement(converse(X0)))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(converse(X0)))))),complement(converse(complement(converse(X0))))) )],[refute_1_6697,refute_1_6698]) ).
cnf(refute_1_6700,plain,
join(X0,converse(converse(complement(converse(complement(converse(X0))))))) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(complement(converse(complement(converse(X0))))))))]]) ).
cnf(refute_1_6701,plain,
( converse(converse(complement(converse(complement(converse(X0)))))) != complement(converse(complement(converse(X0))))
| join(X0,converse(converse(complement(converse(complement(converse(X0))))))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| join(X0,converse(converse(complement(converse(complement(converse(X0))))))) = join(X0,complement(converse(complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(complement(converse(complement(converse(X0))))))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) ),[1,1],$fot(complement(converse(complement(converse(X0)))))]]) ).
cnf(refute_1_6702,plain,
( converse(converse(complement(converse(complement(converse(X0)))))) != complement(converse(complement(converse(X0))))
| join(X0,converse(converse(complement(converse(complement(converse(X0))))))) = join(X0,complement(converse(complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(complement(converse(complement(converse(X0))))))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) )],[refute_1_6700,refute_1_6701]) ).
cnf(refute_1_6703,plain,
join(X0,converse(converse(complement(converse(complement(converse(X0))))))) = join(X0,complement(converse(complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(converse(X0)))))),complement(converse(complement(converse(X0))))) )],[refute_1_6697,refute_1_6702]) ).
cnf(refute_1_6704,plain,
( complement(converse(complement(converse(X0)))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| join(X0,converse(converse(complement(converse(complement(converse(X0))))))) != join(X0,complement(converse(complement(converse(X0)))))
| complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(converse(X0)))),join(X0,complement(converse(complement(converse(X0)))))) ),[0],$fot(join(X0,converse(converse(complement(converse(complement(converse(X0))))))))]]) ).
cnf(refute_1_6705,plain,
( complement(converse(complement(converse(X0)))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(complement(converse(complement(converse(X0))))))),join(X0,complement(converse(complement(converse(X0)))))) )],[refute_1_6703,refute_1_6704]) ).
cnf(refute_1_6706,plain,
( converse(converse(complement(converse(complement(converse(X0)))))) != join(X0,converse(converse(complement(converse(complement(converse(X0)))))))
| complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X0)))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) )],[refute_1_6699,refute_1_6705]) ).
cnf(refute_1_6707,plain,
complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(converse(X0)))))),join(X0,converse(converse(complement(converse(complement(converse(X0)))))))) )],[refute_1_6696,refute_1_6706]) ).
cnf(refute_1_6708,plain,
( complement(converse(complement(converse(X0)))) != join(X0,complement(converse(complement(converse(X0)))))
| join(X0,complement(converse(complement(converse(X0))))) = complement(converse(complement(converse(X0)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(converse(complement(converse(X0)))))),bind(Y,$fot(join(X0,complement(converse(complement(converse(X0)))))))]]) ).
cnf(refute_1_6709,plain,
join(X0,complement(converse(complement(converse(X0))))) = complement(converse(complement(converse(X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X0)))),join(X0,complement(converse(complement(converse(X0)))))) )],[refute_1_6707,refute_1_6708]) ).
cnf(refute_1_6710,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(subst,[],[refute_1_6709:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6711,plain,
meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),
inference(subst,[],[refute_1_363:[bind(X_675,$fot(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6712,plain,
( complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) ),[1,0],$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6713,plain,
( meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6635,refute_1_6712]) ).
cnf(refute_1_6714,plain,
meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))) )],[refute_1_6711,refute_1_6713]) ).
cnf(refute_1_6715,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6716,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[1,1],$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))]]) ).
cnf(refute_1_6717,plain,
( meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6715,refute_1_6716]) ).
cnf(refute_1_6718,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6714,refute_1_6717]) ).
cnf(refute_1_6719,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),bind(Y,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Z,$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6720,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) )],[refute_1_6718,refute_1_6719]) ).
cnf(refute_1_6721,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6710,refute_1_6720]) ).
cnf(refute_1_6722,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) ),[0],$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6723,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6721,refute_1_6722]) ).
cnf(refute_1_6724,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6689,refute_1_6723]) ).
cnf(refute_1_6725,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0_1))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))]]) ).
cnf(refute_1_6726,plain,
complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6724,refute_1_6725]) ).
cnf(refute_1_6727,plain,
( complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))),bind(Y,$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6728,plain,
( complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) )],[refute_1_6714,refute_1_6727]) ).
cnf(refute_1_6729,plain,
meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6726,refute_1_6728]) ).
cnf(refute_1_6730,plain,
complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),
introduced(tautology,[refl,[$fot(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))]]) ).
cnf(refute_1_6731,plain,
( complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6732,plain,
( meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6730,refute_1_6731]) ).
cnf(refute_1_6733,plain,
complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6729,refute_1_6732]) ).
cnf(refute_1_6734,plain,
( complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))))),bind(Y,$fot(complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6735,plain,
( complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6733,refute_1_6734]) ).
cnf(refute_1_6736,plain,
complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6632,refute_1_6735]) ).
cnf(refute_1_6737,plain,
( complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) ),[1],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6738,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))
| converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = composition(top,complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))))),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6736,refute_1_6737]) ).
cnf(refute_1_6739,plain,
converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) = composition(top,complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),complement(meet(one,complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))))) )],[refute_1_6631,refute_1_6738]) ).
cnf(refute_1_6740,plain,
( converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) != composition(top,complement(skolemFOFtoCNF_X0_1))
| converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| converse(composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) ),[0,0],$fot(composition(top,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6741,plain,
( converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| converse(composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),composition(top,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6739,refute_1_6740]) ).
cnf(refute_1_6742,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0_1))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6580,refute_1_6741]) ).
cnf(refute_1_6743,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0_1))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))
| complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))))]]) ).
cnf(refute_1_6744,plain,
complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = converse(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0_1))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))) )],[refute_1_6742,refute_1_6743]) ).
cnf(refute_1_6745,plain,
( complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != converse(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6746,plain,
( converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))
| converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),converse(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6744,refute_1_6745]) ).
cnf(refute_1_6747,plain,
converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))) )],[refute_1_6579,refute_1_6746]) ).
cnf(refute_1_6748,plain,
( converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)) != composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)) = composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)),composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) ),[0,0,0],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6749,plain,
( converse(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)) != composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)) = composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6747,refute_1_6748]) ).
cnf(refute_1_6750,plain,
converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)) = composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),X_596)),composition(converse(X_596),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6578,refute_1_6749]) ).
cnf(refute_1_6751,plain,
converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) = composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_6750:[bind(X_596,$fot(top))]]) ).
cnf(refute_1_6752,plain,
( composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) != composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))),bind(Y,$fot(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6753,plain,
( composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)),composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6751,refute_1_6752]) ).
cnf(refute_1_6754,plain,
converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) = complement(composition(top,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6577,refute_1_6753]) ).
cnf(refute_1_6755,plain,
join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))))]]) ).
cnf(refute_1_6756,plain,
( converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) != join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))) ),[1,1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6757,plain,
( converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)))) )],[refute_1_6755,refute_1_6756]) ).
cnf(refute_1_6758,plain,
join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top)),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6754,refute_1_6757]) ).
cnf(refute_1_6759,plain,
( join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),skolemFOFtoCNF_X0_1) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_6760,plain,
( join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6758,refute_1_6759]) ).
cnf(refute_1_6761,plain,
join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,converse(composition(complement(converse(composition(top,complement(skolemFOFtoCNF_X0_1)))),top))),skolemFOFtoCNF_X0_1) )],[refute_1_6480,refute_1_6760]) ).
cnf(refute_1_6762,plain,
join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(meet(X_1010,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))),
inference(subst,[],[refute_1_1175:[bind(X_675,$fot(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6763,plain,
( complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(skolemFOFtoCNF_X0_1)
| join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(meet(X_1010,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))))
| join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(meet(X_1010,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))))) ),[1,0,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6764,plain,
( join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(meet(X_1010,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))))
| join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6125,refute_1_6763]) ).
cnf(refute_1_6765,plain,
join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(meet(X_1010,complement(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))))) )],[refute_1_6762,refute_1_6764]) ).
cnf(refute_1_6766,plain,
join(complement(X_1010),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,complement(X_1010)),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(complement(X_1010))),bind(X_758,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6767,plain,
complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) = join(complement(X_1010),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_1177:[bind(X_675,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6768,plain,
( complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) != join(complement(X_1010),skolemFOFtoCNF_X0_1)
| join(complement(X_1010),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,complement(X_1010))
| complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(X_1010)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(join(complement(X_1010),skolemFOFtoCNF_X0_1))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(X_1010))))]]) ).
cnf(refute_1_6769,plain,
( join(complement(X_1010),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,complement(X_1010))
| complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(X_1010)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))),join(complement(X_1010),skolemFOFtoCNF_X0_1)) )],[refute_1_6767,refute_1_6768]) ).
cnf(refute_1_6770,plain,
complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,complement(X_1010)),
inference(resolve,[$cnf( $equal(join(complement(X_1010),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(X_1010))) )],[refute_1_6766,refute_1_6769]) ).
cnf(refute_1_6771,plain,
( complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,complement(X_1010))
| join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1)))
| join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(skolemFOFtoCNF_X0_1,complement(X_1010)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,complement(X_1010)))]]) ).
cnf(refute_1_6772,plain,
( join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1)))
| join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(skolemFOFtoCNF_X0_1,complement(X_1010)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,complement(X_1010))) )],[refute_1_6770,refute_1_6771]) ).
cnf(refute_1_6773,plain,
join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(skolemFOFtoCNF_X0_1,complement(X_1010)),
inference(resolve,[$cnf( $equal(join(complement(X_1010),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),complement(meet(X_1010,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6765,refute_1_6772]) ).
cnf(refute_1_6774,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_6773:[bind(X_1010,$fot(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6775,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))
| join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6776,plain,
( join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != skolemFOFtoCNF_X0_1
| join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_6774,refute_1_6775]) ).
cnf(refute_1_6777,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),skolemFOFtoCNF_X0_1) )],[refute_1_6761,refute_1_6776]) ).
cnf(refute_1_6778,plain,
join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),
introduced(tautology,[refl,[$fot(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6779,plain,
( composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))
| join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6780,plain,
( composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) != complement(composition(top,complement(skolemFOFtoCNF_X0_1)))
| join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))) )],[refute_1_6778,refute_1_6779]) ).
cnf(refute_1_6781,plain,
join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),complement(composition(top,complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6570,refute_1_6780]) ).
cnf(refute_1_6782,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != skolemFOFtoCNF_X0_1
| join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))
| join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))),bind(Y,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6783,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != skolemFOFtoCNF_X0_1
| join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))) )],[refute_1_6781,refute_1_6782]) ).
cnf(refute_1_6784,plain,
join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0_1))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),skolemFOFtoCNF_X0_1) )],[refute_1_6777,refute_1_6783]) ).
cnf(refute_1_6785,plain,
join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))),bind(X_758,$fot(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))]]) ).
cnf(refute_1_6786,plain,
( join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != skolemFOFtoCNF_X0_1
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))))),bind(Y,$fot(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6787,plain,
( join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != skolemFOFtoCNF_X0_1
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))) )],[refute_1_6785,refute_1_6786]) ).
cnf(refute_1_6788,plain,
join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1)))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),skolemFOFtoCNF_X0_1) )],[refute_1_6784,refute_1_6787]) ).
cnf(refute_1_6789,plain,
( join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != skolemFOFtoCNF_X0_1
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_6790,plain,
( join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))) != meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),skolemFOFtoCNF_X0_1) )],[refute_1_6788,refute_1_6789]) ).
cnf(refute_1_6791,plain,
skolemFOFtoCNF_X0_1 = meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),composition(top,complement(composition(top,complement(skolemFOFtoCNF_X0_1))))),meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6128,refute_1_6790]) ).
cnf(refute_1_6792,plain,
( skolemFOFtoCNF_X0_1 != meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(skolemFOFtoCNF_X0_1)),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6793,plain,
meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0_1,meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6791,refute_1_6792]) ).
cnf(refute_1_6794,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))
| meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != skolemFOFtoCNF_X0_1
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_6795,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),skolemFOFtoCNF_X0_1) )],[refute_1_6793,refute_1_6794]) ).
cnf(refute_1_6796,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(meet(skolemFOFtoCNF_X0_1,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_5896,refute_1_6795]) ).
cnf(refute_1_6797,plain,
join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),bind(X_720,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6798,plain,
complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6799,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6800,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6798,refute_1_6799]) ).
cnf(refute_1_6801,plain,
complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6797,refute_1_6800]) ).
cnf(refute_1_6802,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(subst,[],[refute_1_4949:[bind(X_981,$fot(skolemFOFtoCNF_X0_1)),bind(X_982,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),bind(X_983,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6803,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6804,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6802,refute_1_6803]) ).
cnf(refute_1_6805,plain,
meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6801,refute_1_6804]) ).
cnf(refute_1_6806,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
introduced(tautology,[refl,[$fot(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6807,plain,
( meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6808,plain,
( meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6806,refute_1_6807]) ).
cnf(refute_1_6809,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6805,refute_1_6808]) ).
cnf(refute_1_6810,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(subst,[],[refute_1_6067:[bind(X_1045,$fot(join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6811,plain,
meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_602,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6812,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))),bind(Z,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6813,plain,
( meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6811,refute_1_6812]) ).
cnf(refute_1_6814,plain,
meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6810,refute_1_6813]) ).
cnf(refute_1_6815,plain,
( meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) != meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6816,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)),meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6814,refute_1_6815]) ).
cnf(refute_1_6817,plain,
meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6809,refute_1_6816]) ).
cnf(refute_1_6818,plain,
join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6819,plain,
( join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))
| meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6820,plain,
( meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6818,refute_1_6819]) ).
cnf(refute_1_6821,plain,
join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)),meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6817,refute_1_6820]) ).
cnf(refute_1_6822,plain,
( join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))) != join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6823,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1))),join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6821,refute_1_6822]) ).
cnf(refute_1_6824,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(skolemFOFtoCNF_X0_1,meet(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_6796,refute_1_6823]) ).
cnf(refute_1_6825,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))))]]) ).
cnf(refute_1_6826,plain,
join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6824,refute_1_6825]) ).
cnf(refute_1_6827,plain,
( join(X0,join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) ),[0,1],$fot(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6828,plain,
( join(X0,join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6826,refute_1_6827]) ).
cnf(refute_1_6829,plain,
join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) )],[refute_1_5895,refute_1_6828]) ).
cnf(refute_1_6830,plain,
join(skolemFOFtoCNF_X0_1,zero) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_1534:[bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6831,plain,
complement(join(one,join(X_732,complement(one)))) = complement(join(join(X_732,complement(one)),one)),
inference(subst,[],[refute_1_5437:[bind(X_885,$fot(join(X_732,complement(one))))]]) ).
cnf(refute_1_6832,plain,
join(one,join(X_732,complement(one))) = top,
inference(subst,[],[refute_1_4905:[bind(X_731,$fot(one))]]) ).
cnf(refute_1_6833,plain,
( complement(join(one,join(X_732,complement(one)))) != complement(join(join(X_732,complement(one)),one))
| join(one,join(X_732,complement(one))) != top
| complement(top) = complement(join(join(X_732,complement(one)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,join(X_732,complement(one)))),complement(join(join(X_732,complement(one)),one))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_6834,plain,
( complement(join(one,join(X_732,complement(one)))) != complement(join(join(X_732,complement(one)),one))
| complement(top) = complement(join(join(X_732,complement(one)),one)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_732,complement(one))),top) )],[refute_1_6832,refute_1_6833]) ).
cnf(refute_1_6835,plain,
complement(top) = complement(join(join(X_732,complement(one)),one)),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_732,complement(one)))),complement(join(join(X_732,complement(one)),one))) )],[refute_1_6831,refute_1_6834]) ).
cnf(refute_1_6836,plain,
( complement(top) != complement(join(join(X_732,complement(one)),one))
| complement(top) != zero
| zero = complement(join(join(X_732,complement(one)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),complement(join(join(X_732,complement(one)),one))) ),[0],$fot(zero)]]) ).
cnf(refute_1_6837,plain,
( complement(top) != complement(join(join(X_732,complement(one)),one))
| zero = complement(join(join(X_732,complement(one)),one)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_295,refute_1_6836]) ).
cnf(refute_1_6838,plain,
meet(complement(join(one,X_732)),one) = meet(one,complement(join(one,X_732))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(one)),bind(X_602,$fot(complement(join(one,X_732))))]]) ).
cnf(refute_1_6839,plain,
complement(join(one,join(X_732,complement(one)))) = meet(complement(join(one,X_732)),one),
inference(subst,[],[refute_1_3961:[bind(X0,$fot(one)),bind(X1,$fot(X_732)),bind(X_982,$fot(one))]]) ).
cnf(refute_1_6840,plain,
( complement(join(one,join(X_732,complement(one)))) != meet(complement(join(one,X_732)),one)
| meet(complement(join(one,X_732)),one) != meet(one,complement(join(one,X_732)))
| complement(join(one,join(X_732,complement(one)))) = meet(one,complement(join(one,X_732))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(one,join(X_732,complement(one)))))),bind(Y,$fot(meet(complement(join(one,X_732)),one))),bind(Z,$fot(meet(one,complement(join(one,X_732)))))]]) ).
cnf(refute_1_6841,plain,
( meet(complement(join(one,X_732)),one) != meet(one,complement(join(one,X_732)))
| complement(join(one,join(X_732,complement(one)))) = meet(one,complement(join(one,X_732))) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_732,complement(one)))),meet(complement(join(one,X_732)),one)) )],[refute_1_6839,refute_1_6840]) ).
cnf(refute_1_6842,plain,
complement(join(one,join(X_732,complement(one)))) = meet(one,complement(join(one,X_732))),
inference(resolve,[$cnf( $equal(meet(complement(join(one,X_732)),one),meet(one,complement(join(one,X_732)))) )],[refute_1_6838,refute_1_6841]) ).
cnf(refute_1_6843,plain,
complement(join(join(X_732,complement(one)),one)) = complement(join(one,join(X_732,complement(one)))),
inference(subst,[],[refute_1_4970:[bind(X_735,$fot(join(X_732,complement(one)))),bind(X_988,$fot(one))]]) ).
cnf(refute_1_6844,plain,
( complement(join(join(X_732,complement(one)),one)) != complement(join(one,join(X_732,complement(one))))
| complement(join(one,join(X_732,complement(one)))) != meet(one,complement(join(one,X_732)))
| complement(join(join(X_732,complement(one)),one)) = meet(one,complement(join(one,X_732))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(join(X_732,complement(one)),one)))),bind(Y,$fot(complement(join(one,join(X_732,complement(one)))))),bind(Z,$fot(meet(one,complement(join(one,X_732)))))]]) ).
cnf(refute_1_6845,plain,
( complement(join(one,join(X_732,complement(one)))) != meet(one,complement(join(one,X_732)))
| complement(join(join(X_732,complement(one)),one)) = meet(one,complement(join(one,X_732))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_732,complement(one)),one)),complement(join(one,join(X_732,complement(one))))) )],[refute_1_6843,refute_1_6844]) ).
cnf(refute_1_6846,plain,
complement(join(join(X_732,complement(one)),one)) = meet(one,complement(join(one,X_732))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_732,complement(one)))),meet(one,complement(join(one,X_732)))) )],[refute_1_6842,refute_1_6845]) ).
cnf(refute_1_6847,plain,
( complement(join(join(X_732,complement(one)),one)) != meet(one,complement(join(one,X_732)))
| zero != complement(join(join(X_732,complement(one)),one))
| zero = meet(one,complement(join(one,X_732))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,complement(join(join(X_732,complement(one)),one))) ),[1],$fot(meet(one,complement(join(one,X_732))))]]) ).
cnf(refute_1_6848,plain,
( zero != complement(join(join(X_732,complement(one)),one))
| zero = meet(one,complement(join(one,X_732))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_732,complement(one)),one)),meet(one,complement(join(one,X_732)))) )],[refute_1_6846,refute_1_6847]) ).
cnf(refute_1_6849,plain,
( complement(top) != complement(join(join(X_732,complement(one)),one))
| zero = meet(one,complement(join(one,X_732))) ),
inference(resolve,[$cnf( $equal(zero,complement(join(join(X_732,complement(one)),one))) )],[refute_1_6837,refute_1_6848]) ).
cnf(refute_1_6850,plain,
zero = meet(one,complement(join(one,X_732))),
inference(resolve,[$cnf( $equal(complement(top),complement(join(join(X_732,complement(one)),one))) )],[refute_1_6835,refute_1_6849]) ).
cnf(refute_1_6851,plain,
( zero != meet(one,complement(join(one,X_732)))
| meet(one,complement(join(one,X_732))) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(one,complement(join(one,X_732)))))]]) ).
cnf(refute_1_6852,plain,
meet(one,complement(join(one,X_732))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(one,complement(join(one,X_732)))) )],[refute_1_6850,refute_1_6851]) ).
cnf(refute_1_6853,plain,
meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = zero,
inference(subst,[],[refute_1_6852:[bind(X_732,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6854,plain,
join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),X2),
inference(subst,[],[refute_1_46:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_6855,plain,
( join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) != join(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),X2)
| join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))) != one
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)),join(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_6856,plain,
( join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) != join(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),X2)
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),one) )],[refute_1_2825,refute_1_6855]) ).
cnf(refute_1_6857,plain,
join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),X2)),join(join(skolemFOFtoCNF_X0_1,meet(one,complement(skolemFOFtoCNF_X0_1))),X2)) )],[refute_1_6854,refute_1_6856]) ).
cnf(refute_1_6858,plain,
join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(subst,[],[refute_1_6857:[bind(X2,$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6859,plain,
meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))),
inference(subst,[],[refute_1_4663:[bind(X_702,$fot(one)),bind(X_703,$fot(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6860,plain,
( meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))
| meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6861,plain,
( meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))
| meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6074,refute_1_6860]) ).
cnf(refute_1_6862,plain,
meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(meet(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))) )],[refute_1_6859,refute_1_6861]) ).
cnf(refute_1_6863,plain,
meet(X_994,complement(one)) = meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one))))),
inference(subst,[],[refute_1_2939:[bind(X_607,$fot(skolemFOFtoCNF_X0_1)),bind(X_675,$fot(meet(X_994,complement(one))))]]) ).
cnf(refute_1_6864,plain,
zero = meet(skolemFOFtoCNF_X0_1,meet(complement(one),meet(X_676,complement(one)))),
inference(subst,[],[refute_1_5470:[bind(X_979,$fot(meet(X_676,complement(one))))]]) ).
cnf(refute_1_6865,plain,
meet(X_676,complement(one)) = meet(complement(one),meet(X_676,complement(one))),
inference(subst,[],[refute_1_463:[bind(X_675,$fot(complement(one)))]]) ).
cnf(refute_1_6866,plain,
( meet(X_676,complement(one)) != meet(complement(one),meet(X_676,complement(one)))
| meet(complement(one),meet(X_676,complement(one))) = meet(X_676,complement(one)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(X_676,complement(one)))),bind(Y,$fot(meet(complement(one),meet(X_676,complement(one)))))]]) ).
cnf(refute_1_6867,plain,
meet(complement(one),meet(X_676,complement(one))) = meet(X_676,complement(one)),
inference(resolve,[$cnf( $equal(meet(X_676,complement(one)),meet(complement(one),meet(X_676,complement(one)))) )],[refute_1_6865,refute_1_6866]) ).
cnf(refute_1_6868,plain,
( meet(complement(one),meet(X_676,complement(one))) != meet(X_676,complement(one))
| zero != meet(skolemFOFtoCNF_X0_1,meet(complement(one),meet(X_676,complement(one))))
| zero = meet(skolemFOFtoCNF_X0_1,meet(X_676,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,meet(complement(one),meet(X_676,complement(one))))) ),[1,1],$fot(meet(X_676,complement(one)))]]) ).
cnf(refute_1_6869,plain,
( zero != meet(skolemFOFtoCNF_X0_1,meet(complement(one),meet(X_676,complement(one))))
| zero = meet(skolemFOFtoCNF_X0_1,meet(X_676,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(X_676,complement(one))),meet(X_676,complement(one))) )],[refute_1_6867,refute_1_6868]) ).
cnf(refute_1_6870,plain,
zero = meet(skolemFOFtoCNF_X0_1,meet(X_676,complement(one))),
inference(resolve,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,meet(complement(one),meet(X_676,complement(one))))) )],[refute_1_6864,refute_1_6869]) ).
cnf(refute_1_6871,plain,
zero = meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one))),
inference(subst,[],[refute_1_6870:[bind(X_676,$fot(X_994))]]) ).
cnf(refute_1_6872,plain,
( zero != meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))
| meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one))) = zero ),
inference(subst,[],[refute_1_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))))]]) ).
cnf(refute_1_6873,plain,
meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))) )],[refute_1_6871,refute_1_6872]) ).
cnf(refute_1_6874,plain,
( meet(X_994,complement(one)) != meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))))
| meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one))) != zero
| meet(X_994,complement(one)) = meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_994,complement(one)),meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_1_6875,plain,
( meet(X_994,complement(one)) != meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))))
| meet(X_994,complement(one)) = meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one))),zero) )],[refute_1_6873,refute_1_6874]) ).
cnf(refute_1_6876,plain,
meet(X_994,complement(one)) = meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)),
inference(resolve,[$cnf( $equal(meet(X_994,complement(one)),meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,meet(X_994,complement(one)))))) )],[refute_1_6863,refute_1_6875]) ).
cnf(refute_1_6877,plain,
join(zero,complement(skolemFOFtoCNF_X0_1)) = complement(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_417:[bind(X_675,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6878,plain,
join(complement(skolemFOFtoCNF_X0_1),zero) = join(zero,complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_4264:[bind(X_676,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_758,$fot(zero))]]) ).
cnf(refute_1_6879,plain,
( join(complement(skolemFOFtoCNF_X0_1),zero) != join(zero,complement(skolemFOFtoCNF_X0_1))
| join(zero,complement(skolemFOFtoCNF_X0_1)) != complement(skolemFOFtoCNF_X0_1)
| join(complement(skolemFOFtoCNF_X0_1),zero) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0_1),zero))),bind(Y,$fot(join(zero,complement(skolemFOFtoCNF_X0_1)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6880,plain,
( join(zero,complement(skolemFOFtoCNF_X0_1)) != complement(skolemFOFtoCNF_X0_1)
| join(complement(skolemFOFtoCNF_X0_1),zero) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),zero),join(zero,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_6878,refute_1_6879]) ).
cnf(refute_1_6881,plain,
join(complement(skolemFOFtoCNF_X0_1),zero) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(zero,complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6877,refute_1_6880]) ).
cnf(refute_1_6882,plain,
meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) = meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))),
introduced(tautology,[refl,[$fot(meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))))]]) ).
cnf(refute_1_6883,plain,
( join(complement(skolemFOFtoCNF_X0_1),zero) != complement(skolemFOFtoCNF_X0_1)
| meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) != meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one)))
| meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))),meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6884,plain,
( join(complement(skolemFOFtoCNF_X0_1),zero) != complement(skolemFOFtoCNF_X0_1)
| meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))),meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one)))) )],[refute_1_6882,refute_1_6883]) ).
cnf(refute_1_6885,plain,
meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),zero),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_6881,refute_1_6884]) ).
cnf(refute_1_6886,plain,
meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) = meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))),
inference(subst,[],[refute_1_428:[bind(X_601,$fot(join(complement(skolemFOFtoCNF_X0_1),zero))),bind(X_602,$fot(meet(X_994,complement(one))))]]) ).
cnf(refute_1_6887,plain,
( meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) != meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))
| meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) != meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one)))
| meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)))),bind(Y,$fot(meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))))]]) ).
cnf(refute_1_6888,plain,
( meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))) != meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))
| meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)),meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one)))) )],[refute_1_6886,refute_1_6887]) ).
cnf(refute_1_6889,plain,
meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0_1),zero),meet(X_994,complement(one))),meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))) )],[refute_1_6885,refute_1_6888]) ).
cnf(refute_1_6890,plain,
( meet(X_994,complement(one)) != meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero))
| meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)) != meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))
| meet(X_994,complement(one)) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_994,complement(one)),meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))) ),[0],$fot(meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)))]]) ).
cnf(refute_1_6891,plain,
( meet(X_994,complement(one)) != meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero))
| meet(X_994,complement(one)) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero)),meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))) )],[refute_1_6889,refute_1_6890]) ).
cnf(refute_1_6892,plain,
meet(X_994,complement(one)) = meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))),
inference(resolve,[$cnf( $equal(meet(X_994,complement(one)),meet(meet(X_994,complement(one)),join(complement(skolemFOFtoCNF_X0_1),zero))) )],[refute_1_6876,refute_1_6891]) ).
cnf(refute_1_6893,plain,
complement(join(one,skolemFOFtoCNF_X0_1)) = complement(join(one,skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(complement(join(one,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_6894,plain,
( complement(join(one,skolemFOFtoCNF_X0_1)) != complement(join(one,skolemFOFtoCNF_X0_1))
| join(one,skolemFOFtoCNF_X0_1) != one
| complement(join(one,skolemFOFtoCNF_X0_1)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,skolemFOFtoCNF_X0_1)),complement(join(one,skolemFOFtoCNF_X0_1))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_6895,plain,
( join(one,skolemFOFtoCNF_X0_1) != one
| complement(join(one,skolemFOFtoCNF_X0_1)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,skolemFOFtoCNF_X0_1)),complement(join(one,skolemFOFtoCNF_X0_1))) )],[refute_1_6893,refute_1_6894]) ).
cnf(refute_1_6896,plain,
complement(join(one,skolemFOFtoCNF_X0_1)) = complement(one),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0_1),one) )],[refute_1_1221,refute_1_6895]) ).
cnf(refute_1_6897,plain,
meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),
introduced(tautology,[refl,[$fot(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994))]]) ).
cnf(refute_1_6898,plain,
( complement(join(one,skolemFOFtoCNF_X0_1)) != complement(one)
| meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) != meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)
| meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) = meet(complement(one),X_994) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_1_6899,plain,
( complement(join(one,skolemFOFtoCNF_X0_1)) != complement(one)
| meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) = meet(complement(one),X_994) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)) )],[refute_1_6897,refute_1_6898]) ).
cnf(refute_1_6900,plain,
meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) = meet(complement(one),X_994),
inference(resolve,[$cnf( $equal(complement(join(one,skolemFOFtoCNF_X0_1)),complement(one)) )],[refute_1_6896,refute_1_6899]) ).
cnf(refute_1_6901,plain,
complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994)))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),
inference(subst,[],[refute_1_3961:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0_1)),bind(X_982,$fot(X_994))]]) ).
cnf(refute_1_6902,plain,
complement(join(one,join(X0,X1))) = complement(join(join(X0,X1),one)),
inference(subst,[],[refute_1_5437:[bind(X_885,$fot(join(X0,X1)))]]) ).
cnf(refute_1_6903,plain,
join(X0,join(X1,one)) = join(join(X0,X1),one),
inference(subst,[],[refute_1_46:[bind(X2,$fot(one))]]) ).
cnf(refute_1_6904,plain,
( join(X0,join(X1,one)) != join(join(X0,X1),one)
| join(join(X0,X1),one) = join(X0,join(X1,one)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(X0,join(X1,one)))),bind(Y,$fot(join(join(X0,X1),one)))]]) ).
cnf(refute_1_6905,plain,
join(join(X0,X1),one) = join(X0,join(X1,one)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,one)),join(join(X0,X1),one)) )],[refute_1_6903,refute_1_6904]) ).
cnf(refute_1_6906,plain,
( complement(join(one,join(X0,X1))) != complement(join(join(X0,X1),one))
| join(join(X0,X1),one) != join(X0,join(X1,one))
| complement(join(one,join(X0,X1))) = complement(join(X0,join(X1,one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,join(X0,X1))),complement(join(join(X0,X1),one))) ),[1,0],$fot(join(X0,join(X1,one)))]]) ).
cnf(refute_1_6907,plain,
( complement(join(one,join(X0,X1))) != complement(join(join(X0,X1),one))
| complement(join(one,join(X0,X1))) = complement(join(X0,join(X1,one))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(X0,join(X1,one))) )],[refute_1_6905,refute_1_6906]) ).
cnf(refute_1_6908,plain,
complement(join(one,join(X0,X1))) = complement(join(X0,join(X1,one))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X0,X1))),complement(join(join(X0,X1),one))) )],[refute_1_6902,refute_1_6907]) ).
cnf(refute_1_6909,plain,
( complement(join(one,join(X0,X1))) != complement(join(X0,join(X1,one)))
| complement(join(X0,join(X1,one))) = complement(join(one,join(X0,X1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(join(one,join(X0,X1))))),bind(Y,$fot(complement(join(X0,join(X1,one)))))]]) ).
cnf(refute_1_6910,plain,
complement(join(X0,join(X1,one))) = complement(join(one,join(X0,X1))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X0,X1))),complement(join(X0,join(X1,one)))) )],[refute_1_6908,refute_1_6909]) ).
cnf(refute_1_6911,plain,
complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) = complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994)))),
inference(subst,[],[refute_1_6910:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(complement(X_994)))]]) ).
cnf(refute_1_6912,plain,
( complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994)))) != meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)
| complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) != complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994))))
| complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))))),bind(Y,$fot(complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994)))))),bind(Z,$fot(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)))]]) ).
cnf(refute_1_6913,plain,
( complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994)))) != meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)
| complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))),complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994))))) )],[refute_1_6911,refute_1_6912]) ).
cnf(refute_1_6914,plain,
complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),
inference(resolve,[$cnf( $equal(complement(join(one,join(skolemFOFtoCNF_X0_1,complement(X_994)))),meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)) )],[refute_1_6901,refute_1_6913]) ).
cnf(refute_1_6915,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))),
inference(subst,[],[refute_1_3989:[bind(X_1030,$fot(X_994)),bind(X_1031,$fot(one)),bind(X_981,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_6916,plain,
( complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) != meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) != complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one)))
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))))),bind(Z,$fot(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)))]]) ).
cnf(refute_1_6917,plain,
( complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))) != meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))),complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one)))) )],[refute_1_6915,refute_1_6916]) ).
cnf(refute_1_6918,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,join(complement(X_994),one))),meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)) )],[refute_1_6914,refute_1_6917]) ).
cnf(refute_1_6919,plain,
( meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) != meet(complement(one),X_994)
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) != meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = meet(complement(one),X_994) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))))),bind(Y,$fot(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994))),bind(Z,$fot(meet(complement(one),X_994)))]]) ).
cnf(refute_1_6920,plain,
( meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994) != meet(complement(one),X_994)
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = meet(complement(one),X_994) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))),meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994)) )],[refute_1_6918,refute_1_6919]) ).
cnf(refute_1_6921,plain,
meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) = meet(complement(one),X_994),
inference(resolve,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0_1)),X_994),meet(complement(one),X_994)) )],[refute_1_6900,refute_1_6920]) ).
cnf(refute_1_6922,plain,
( meet(X_994,complement(one)) != meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))
| meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))) != meet(complement(one),X_994)
| meet(X_994,complement(one)) = meet(complement(one),X_994) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_994,complement(one)),meet(complement(one),X_994)) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))))]]) ).
cnf(refute_1_6923,plain,
( meet(X_994,complement(one)) != meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))
| meet(X_994,complement(one)) = meet(complement(one),X_994) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one))),meet(complement(one),X_994)) )],[refute_1_6921,refute_1_6922]) ).
cnf(refute_1_6924,plain,
meet(X_994,complement(one)) = meet(complement(one),X_994),
inference(resolve,[$cnf( $equal(meet(X_994,complement(one)),meet(complement(skolemFOFtoCNF_X0_1),meet(X_994,complement(one)))) )],[refute_1_6892,refute_1_6923]) ).
cnf(refute_1_6925,plain,
meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_6924:[bind(X_994,$fot(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6926,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))))]]) ).
cnf(refute_1_6927,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))
| meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))) ),[1,1],$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_6928,plain,
( meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))) )],[refute_1_6926,refute_1_6927]) ).
cnf(refute_1_6929,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_6925,refute_1_6928]) ).
cnf(refute_1_6930,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))
| meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))) ),[1],$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_6931,plain,
( meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))
| meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6929,refute_1_6930]) ).
cnf(refute_1_6932,plain,
meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),complement(one)))) )],[refute_1_6862,refute_1_6931]) ).
cnf(refute_1_6933,plain,
( meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_6934,plain,
join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6932,refute_1_6933]) ).
cnf(refute_1_6935,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),[0,1],$fot(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6936,plain,
( join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6934,refute_1_6935]) ).
cnf(refute_1_6937,plain,
join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6858,refute_1_6936]) ).
cnf(refute_1_6938,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_6939,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_6797,refute_1_6938]) ).
cnf(refute_1_6940,plain,
join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))),
inference(subst,[],[refute_1_740:[bind(X_702,$fot(X_898)),bind(X_703,$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))]]) ).
cnf(refute_1_6941,plain,
X_675 = meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))))),
inference(subst,[],[refute_1_778:[bind(X_744,$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))]]) ).
cnf(refute_1_6942,plain,
top = join(X_762,join(one,converse(complement(converse(join(X_762,one)))))),
inference(subst,[],[refute_1_2543:[bind(X_727,$fot(X_762)),bind(X_728,$fot(one))]]) ).
cnf(refute_1_6943,plain,
converse(join(one,complement(converse(join(X_762,one))))) = join(one,converse(complement(converse(join(X_762,one))))),
inference(subst,[],[refute_1_204:[bind(X1,$fot(complement(converse(join(X_762,one)))))]]) ).
cnf(refute_1_6944,plain,
( converse(join(one,complement(converse(join(X_762,one))))) != join(one,converse(complement(converse(join(X_762,one)))))
| join(one,converse(complement(converse(join(X_762,one))))) = converse(join(one,complement(converse(join(X_762,one))))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(one,complement(converse(join(X_762,one))))))),bind(Y,$fot(join(one,converse(complement(converse(join(X_762,one)))))))]]) ).
cnf(refute_1_6945,plain,
join(one,converse(complement(converse(join(X_762,one))))) = converse(join(one,complement(converse(join(X_762,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(X_762,one))))),join(one,converse(complement(converse(join(X_762,one)))))) )],[refute_1_6943,refute_1_6944]) ).
cnf(refute_1_6946,plain,
( join(one,converse(complement(converse(join(X_762,one))))) != converse(join(one,complement(converse(join(X_762,one)))))
| top != join(X_762,join(one,converse(complement(converse(join(X_762,one))))))
| top = join(X_762,converse(join(one,complement(converse(join(X_762,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_762,join(one,converse(complement(converse(join(X_762,one))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(X_762,one))))))]]) ).
cnf(refute_1_6947,plain,
( top != join(X_762,join(one,converse(complement(converse(join(X_762,one))))))
| top = join(X_762,converse(join(one,complement(converse(join(X_762,one)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(X_762,one))))),converse(join(one,complement(converse(join(X_762,one)))))) )],[refute_1_6945,refute_1_6946]) ).
cnf(refute_1_6948,plain,
top = join(X_762,converse(join(one,complement(converse(join(X_762,one)))))),
inference(resolve,[$cnf( $equal(top,join(X_762,join(one,converse(complement(converse(join(X_762,one))))))) )],[refute_1_6942,refute_1_6947]) ).
cnf(refute_1_6949,plain,
top = join(X_795,converse(join(one,complement(converse(join(X_795,one)))))),
inference(subst,[],[refute_1_6948:[bind(X_762,$fot(X_795))]]) ).
cnf(refute_1_6950,plain,
join(one,X_795) = join(X_795,one),
inference(subst,[],[refute_1_1:[bind(X0,$fot(one)),bind(X1,$fot(X_795))]]) ).
cnf(refute_1_6951,plain,
( join(one,X_795) != join(X_795,one)
| join(X_795,one) = join(one,X_795) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,X_795))),bind(Y,$fot(join(X_795,one)))]]) ).
cnf(refute_1_6952,plain,
join(X_795,one) = join(one,X_795),
inference(resolve,[$cnf( $equal(join(one,X_795),join(X_795,one)) )],[refute_1_6950,refute_1_6951]) ).
cnf(refute_1_6953,plain,
( join(X_795,one) != join(one,X_795)
| top != join(X_795,converse(join(one,complement(converse(join(X_795,one))))))
| top = join(X_795,converse(join(one,complement(converse(join(one,X_795)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_795,converse(join(one,complement(converse(join(X_795,one))))))) ),[1,1,0,1,0,0],$fot(join(one,X_795))]]) ).
cnf(refute_1_6954,plain,
( top != join(X_795,converse(join(one,complement(converse(join(X_795,one))))))
| top = join(X_795,converse(join(one,complement(converse(join(one,X_795)))))) ),
inference(resolve,[$cnf( $equal(join(X_795,one),join(one,X_795)) )],[refute_1_6952,refute_1_6953]) ).
cnf(refute_1_6955,plain,
top = join(X_795,converse(join(one,complement(converse(join(one,X_795)))))),
inference(resolve,[$cnf( $equal(top,join(X_795,converse(join(one,complement(converse(join(X_795,one))))))) )],[refute_1_6949,refute_1_6954]) ).
cnf(refute_1_6956,plain,
top = join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))))))),
inference(subst,[],[refute_1_6955:[bind(X_795,$fot(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))))]]) ).
cnf(refute_1_6957,plain,
join(one,join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))))]]) ).
cnf(refute_1_6958,plain,
top = join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(subst,[],[refute_1_749:[bind(X_727,$fot(skolemFOFtoCNF_X0_1)),bind(X_728,$fot(X_744))]]) ).
cnf(refute_1_6959,plain,
( top != join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))))]]) ).
cnf(refute_1_6960,plain,
join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) )],[refute_1_6958,refute_1_6959]) ).
cnf(refute_1_6961,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) != join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) != top
| join(one,top) = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))),join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_6962,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) != join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(one,top) = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))),top) )],[refute_1_6960,refute_1_6961]) ).
cnf(refute_1_6963,plain,
join(one,top) = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))),join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) )],[refute_1_6957,refute_1_6962]) ).
cnf(refute_1_6964,plain,
( join(one,top) != join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(one,top) != top
| top = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) ),[0],$fot(top)]]) ).
cnf(refute_1_6965,plain,
( join(one,top) != join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| top = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_1_1239,refute_1_6964]) ).
cnf(refute_1_6966,plain,
top = join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) )],[refute_1_6963,refute_1_6965]) ).
cnf(refute_1_6967,plain,
( top != join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))))]]) ).
cnf(refute_1_6968,plain,
join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))))) )],[refute_1_6966,refute_1_6967]) ).
cnf(refute_1_6969,plain,
( join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))) != top
| top != join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))))))))
| top = join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_1_6970,plain,
( top != join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))))))))
| top = join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))),top) )],[refute_1_6968,refute_1_6969]) ).
cnf(refute_1_6971,plain,
top = join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(top,join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(join(one,join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744)))))))))) )],[refute_1_6956,refute_1_6970]) ).
cnf(refute_1_6972,plain,
converse(join(converse(X_628),join(one,one))) = join(X_628,converse(join(one,one))),
inference(subst,[],[refute_1_194:[bind(X0,$fot(X_628)),bind(X_594,$fot(join(one,one)))]]) ).
cnf(refute_1_6973,plain,
( converse(join(converse(X_628),join(one,one))) != join(X_628,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(converse(X_628),join(one,one))) = join(X_628,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),join(X_628,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_1_6974,plain,
( converse(join(converse(X_628),join(one,one))) != join(X_628,converse(join(one,one)))
| converse(join(converse(X_628),join(one,one))) = join(X_628,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_1_208,refute_1_6973]) ).
cnf(refute_1_6975,plain,
converse(join(converse(X_628),join(one,one))) = join(X_628,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),join(X_628,converse(join(one,one)))) )],[refute_1_6972,refute_1_6974]) ).
cnf(refute_1_6976,plain,
join(X_628,converse(one)) = join(X_628,converse(one)),
introduced(tautology,[refl,[$fot(join(X_628,converse(one)))]]) ).
cnf(refute_1_6977,plain,
( converse(one) != one
| join(X_628,converse(one)) != join(X_628,converse(one))
| join(X_628,converse(one)) = join(X_628,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_628,converse(one)),join(X_628,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_6978,plain,
( converse(one) != one
| join(X_628,converse(one)) = join(X_628,one) ),
inference(resolve,[$cnf( $equal(join(X_628,converse(one)),join(X_628,converse(one))) )],[refute_1_6976,refute_1_6977]) ).
cnf(refute_1_6979,plain,
join(X_628,converse(one)) = join(X_628,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_6978]) ).
cnf(refute_1_6980,plain,
join(one,join(X_628,converse(one))) = join(one,join(X_628,converse(one))),
introduced(tautology,[refl,[$fot(join(one,join(X_628,converse(one))))]]) ).
cnf(refute_1_6981,plain,
( join(X_628,converse(one)) != join(X_628,one)
| join(one,join(X_628,converse(one))) != join(one,join(X_628,converse(one)))
| join(one,join(X_628,converse(one))) = join(one,join(X_628,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,converse(one))),join(one,join(X_628,converse(one)))) ),[1,1],$fot(join(X_628,one))]]) ).
cnf(refute_1_6982,plain,
( join(X_628,converse(one)) != join(X_628,one)
| join(one,join(X_628,converse(one))) = join(one,join(X_628,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_628,converse(one))),join(one,join(X_628,converse(one)))) )],[refute_1_6980,refute_1_6981]) ).
cnf(refute_1_6983,plain,
join(one,join(X_628,converse(one))) = join(one,join(X_628,one)),
inference(resolve,[$cnf( $equal(join(X_628,converse(one)),join(X_628,one)) )],[refute_1_6979,refute_1_6982]) ).
cnf(refute_1_6984,plain,
converse(join(one,join(converse(X_628),X_629))) = join(one,converse(join(converse(X_628),X_629))),
inference(subst,[],[refute_1_204:[bind(X1,$fot(join(converse(X_628),X_629)))]]) ).
cnf(refute_1_6985,plain,
converse(join(converse(X_628),X_629)) = join(X_628,converse(X_629)),
inference(subst,[],[refute_1_194:[bind(X0,$fot(X_628)),bind(X_594,$fot(X_629))]]) ).
cnf(refute_1_6986,plain,
( converse(join(converse(X_628),X_629)) != join(X_628,converse(X_629))
| converse(join(one,join(converse(X_628),X_629))) != join(one,converse(join(converse(X_628),X_629)))
| converse(join(one,join(converse(X_628),X_629))) = join(one,join(X_628,converse(X_629))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(X_628),X_629))),join(one,converse(join(converse(X_628),X_629)))) ),[1,1],$fot(join(X_628,converse(X_629)))]]) ).
cnf(refute_1_6987,plain,
( converse(join(one,join(converse(X_628),X_629))) != join(one,converse(join(converse(X_628),X_629)))
| converse(join(one,join(converse(X_628),X_629))) = join(one,join(X_628,converse(X_629))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),X_629)),join(X_628,converse(X_629))) )],[refute_1_6985,refute_1_6986]) ).
cnf(refute_1_6988,plain,
converse(join(one,join(converse(X_628),X_629))) = join(one,join(X_628,converse(X_629))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_628),X_629))),join(one,converse(join(converse(X_628),X_629)))) )],[refute_1_6984,refute_1_6987]) ).
cnf(refute_1_6989,plain,
converse(join(one,join(converse(X_628),one))) = join(one,join(X_628,converse(one))),
inference(subst,[],[refute_1_6988:[bind(X_629,$fot(one))]]) ).
cnf(refute_1_6990,plain,
converse(join(join(X_600,X_599),X1)) = join(converse(join(X_600,X_599)),converse(X1)),
inference(subst,[],[refute_1_190:[bind(X0,$fot(join(X_600,X_599)))]]) ).
cnf(refute_1_6991,plain,
converse(join(X_600,X_599)) = converse(join(X_599,X_600)),
inference(subst,[],[refute_1_1051:[bind(X_593,$fot(X_599)),bind(X_594,$fot(X_600))]]) ).
cnf(refute_1_6992,plain,
( converse(join(X_600,X_599)) != converse(join(X_599,X_600))
| converse(join(join(X_600,X_599),X1)) != join(converse(join(X_600,X_599)),converse(X1))
| converse(join(join(X_600,X_599),X1)) = join(converse(join(X_599,X_600)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),join(converse(join(X_600,X_599)),converse(X1))) ),[1,0],$fot(converse(join(X_599,X_600)))]]) ).
cnf(refute_1_6993,plain,
( converse(join(join(X_600,X_599),X1)) != join(converse(join(X_600,X_599)),converse(X1))
| converse(join(join(X_600,X_599),X1)) = join(converse(join(X_599,X_600)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_600,X_599)),converse(join(X_599,X_600))) )],[refute_1_6991,refute_1_6992]) ).
cnf(refute_1_6994,plain,
converse(join(join(X_600,X_599),X1)) = join(converse(join(X_599,X_600)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),join(converse(join(X_600,X_599)),converse(X1))) )],[refute_1_6990,refute_1_6993]) ).
cnf(refute_1_6995,plain,
join(join(X_600,X_599),X1) = join(X_600,join(X_599,X1)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_600)),bind(X1,$fot(X_599)),bind(X2,$fot(X1))]]) ).
cnf(refute_1_6996,plain,
converse(join(join(X_600,X_599),X1)) = converse(join(join(X_600,X_599),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_600,X_599),X1)))]]) ).
cnf(refute_1_6997,plain,
( converse(join(join(X_600,X_599),X1)) != converse(join(join(X_600,X_599),X1))
| join(join(X_600,X_599),X1) != join(X_600,join(X_599,X1))
| converse(join(join(X_600,X_599),X1)) = converse(join(X_600,join(X_599,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),converse(join(join(X_600,X_599),X1))) ),[1,0],$fot(join(X_600,join(X_599,X1)))]]) ).
cnf(refute_1_6998,plain,
( join(join(X_600,X_599),X1) != join(X_600,join(X_599,X1))
| converse(join(join(X_600,X_599),X1)) = converse(join(X_600,join(X_599,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),converse(join(join(X_600,X_599),X1))) )],[refute_1_6996,refute_1_6997]) ).
cnf(refute_1_6999,plain,
converse(join(join(X_600,X_599),X1)) = converse(join(X_600,join(X_599,X1))),
inference(resolve,[$cnf( $equal(join(join(X_600,X_599),X1),join(X_600,join(X_599,X1))) )],[refute_1_6995,refute_1_6998]) ).
cnf(refute_1_7000,plain,
( converse(join(join(X_600,X_599),X1)) != converse(join(X_600,join(X_599,X1)))
| converse(join(join(X_600,X_599),X1)) != join(converse(join(X_599,X_600)),converse(X1))
| converse(join(X_600,join(X_599,X1))) = join(converse(join(X_599,X_600)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),join(converse(join(X_599,X_600)),converse(X1))) ),[0],$fot(converse(join(X_600,join(X_599,X1))))]]) ).
cnf(refute_1_7001,plain,
( converse(join(join(X_600,X_599),X1)) != join(converse(join(X_599,X_600)),converse(X1))
| converse(join(X_600,join(X_599,X1))) = join(converse(join(X_599,X_600)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),converse(join(X_600,join(X_599,X1)))) )],[refute_1_6999,refute_1_7000]) ).
cnf(refute_1_7002,plain,
join(join(X_599,X_600),X1) = join(X_599,join(X_600,X1)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_599)),bind(X1,$fot(X_600)),bind(X2,$fot(X1))]]) ).
cnf(refute_1_7003,plain,
converse(join(join(X_599,X_600),X1)) = converse(join(join(X_599,X_600),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_599,X_600),X1)))]]) ).
cnf(refute_1_7004,plain,
( converse(join(join(X_599,X_600),X1)) != converse(join(join(X_599,X_600),X1))
| join(join(X_599,X_600),X1) != join(X_599,join(X_600,X1))
| converse(join(join(X_599,X_600),X1)) = converse(join(X_599,join(X_600,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_599,X_600),X1)),converse(join(join(X_599,X_600),X1))) ),[1,0],$fot(join(X_599,join(X_600,X1)))]]) ).
cnf(refute_1_7005,plain,
( join(join(X_599,X_600),X1) != join(X_599,join(X_600,X1))
| converse(join(join(X_599,X_600),X1)) = converse(join(X_599,join(X_600,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_599,X_600),X1)),converse(join(join(X_599,X_600),X1))) )],[refute_1_7003,refute_1_7004]) ).
cnf(refute_1_7006,plain,
converse(join(join(X_599,X_600),X1)) = converse(join(X_599,join(X_600,X1))),
inference(resolve,[$cnf( $equal(join(join(X_599,X_600),X1),join(X_599,join(X_600,X1))) )],[refute_1_7002,refute_1_7005]) ).
cnf(refute_1_7007,plain,
join(converse(join(X_599,X_600)),converse(X1)) = converse(join(join(X_599,X_600),X1)),
inference(subst,[],[refute_1_1047:[bind(X0,$fot(join(X_599,X_600)))]]) ).
cnf(refute_1_7008,plain,
( converse(join(join(X_599,X_600),X1)) != converse(join(X_599,join(X_600,X1)))
| join(converse(join(X_599,X_600)),converse(X1)) != converse(join(join(X_599,X_600),X1))
| join(converse(join(X_599,X_600)),converse(X1)) = converse(join(X_599,join(X_600,X1))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(converse(join(X_599,X_600)),converse(X1)))),bind(Y,$fot(converse(join(join(X_599,X_600),X1)))),bind(Z,$fot(converse(join(X_599,join(X_600,X1)))))]]) ).
cnf(refute_1_7009,plain,
( converse(join(join(X_599,X_600),X1)) != converse(join(X_599,join(X_600,X1)))
| join(converse(join(X_599,X_600)),converse(X1)) = converse(join(X_599,join(X_600,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_599,X_600)),converse(X1)),converse(join(join(X_599,X_600),X1))) )],[refute_1_7007,refute_1_7008]) ).
cnf(refute_1_7010,plain,
join(converse(join(X_599,X_600)),converse(X1)) = converse(join(X_599,join(X_600,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_599,X_600),X1)),converse(join(X_599,join(X_600,X1)))) )],[refute_1_7006,refute_1_7009]) ).
cnf(refute_1_7011,plain,
( converse(join(X_600,join(X_599,X1))) != join(converse(join(X_599,X_600)),converse(X1))
| join(converse(join(X_599,X_600)),converse(X1)) != converse(join(X_599,join(X_600,X1)))
| converse(join(X_600,join(X_599,X1))) = converse(join(X_599,join(X_600,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_600,join(X_599,X1))),converse(join(X_599,join(X_600,X1)))) ),[0],$fot(join(converse(join(X_599,X_600)),converse(X1)))]]) ).
cnf(refute_1_7012,plain,
( converse(join(X_600,join(X_599,X1))) != join(converse(join(X_599,X_600)),converse(X1))
| converse(join(X_600,join(X_599,X1))) = converse(join(X_599,join(X_600,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_599,X_600)),converse(X1)),converse(join(X_599,join(X_600,X1)))) )],[refute_1_7010,refute_1_7011]) ).
cnf(refute_1_7013,plain,
( converse(join(join(X_600,X_599),X1)) != join(converse(join(X_599,X_600)),converse(X1))
| converse(join(X_600,join(X_599,X1))) = converse(join(X_599,join(X_600,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_600,join(X_599,X1))),join(converse(join(X_599,X_600)),converse(X1))) )],[refute_1_7001,refute_1_7012]) ).
cnf(refute_1_7014,plain,
converse(join(X_600,join(X_599,X1))) = converse(join(X_599,join(X_600,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_600,X_599),X1)),join(converse(join(X_599,X_600)),converse(X1))) )],[refute_1_6994,refute_1_7013]) ).
cnf(refute_1_7015,plain,
( converse(join(X_600,join(X_599,X1))) != converse(join(X_599,join(X_600,X1)))
| converse(join(X_599,join(X_600,X1))) = converse(join(X_600,join(X_599,X1))) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(converse(join(X_600,join(X_599,X1))))),bind(Y,$fot(converse(join(X_599,join(X_600,X1)))))]]) ).
cnf(refute_1_7016,plain,
converse(join(X_599,join(X_600,X1))) = converse(join(X_600,join(X_599,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_600,join(X_599,X1))),converse(join(X_599,join(X_600,X1)))) )],[refute_1_7014,refute_1_7015]) ).
cnf(refute_1_7017,plain,
converse(join(converse(X_628),join(one,one))) = converse(join(one,join(converse(X_628),one))),
inference(subst,[],[refute_1_7016:[bind(X1,$fot(one)),bind(X_599,$fot(converse(X_628))),bind(X_600,$fot(one))]]) ).
cnf(refute_1_7018,plain,
( converse(join(converse(X_628),join(one,one))) != converse(join(one,join(converse(X_628),one)))
| converse(join(one,join(converse(X_628),one))) != join(one,join(X_628,converse(one)))
| converse(join(converse(X_628),join(one,one))) = join(one,join(X_628,converse(one))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(X_628),join(one,one))))),bind(Y,$fot(converse(join(one,join(converse(X_628),one))))),bind(Z,$fot(join(one,join(X_628,converse(one)))))]]) ).
cnf(refute_1_7019,plain,
( converse(join(one,join(converse(X_628),one))) != join(one,join(X_628,converse(one)))
| converse(join(converse(X_628),join(one,one))) = join(one,join(X_628,converse(one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),converse(join(one,join(converse(X_628),one)))) )],[refute_1_7017,refute_1_7018]) ).
cnf(refute_1_7020,plain,
converse(join(converse(X_628),join(one,one))) = join(one,join(X_628,converse(one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_628),one))),join(one,join(X_628,converse(one)))) )],[refute_1_6989,refute_1_7019]) ).
cnf(refute_1_7021,plain,
( converse(join(converse(X_628),join(one,one))) != join(one,join(X_628,converse(one)))
| join(one,join(X_628,converse(one))) != join(one,join(X_628,one))
| converse(join(converse(X_628),join(one,one))) = join(one,join(X_628,one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(X_628),join(one,one))))),bind(Y,$fot(join(one,join(X_628,converse(one))))),bind(Z,$fot(join(one,join(X_628,one))))]]) ).
cnf(refute_1_7022,plain,
( join(one,join(X_628,converse(one))) != join(one,join(X_628,one))
| converse(join(converse(X_628),join(one,one))) = join(one,join(X_628,one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),join(one,join(X_628,converse(one)))) )],[refute_1_7020,refute_1_7021]) ).
cnf(refute_1_7023,plain,
converse(join(converse(X_628),join(one,one))) = join(one,join(X_628,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_628,converse(one))),join(one,join(X_628,one))) )],[refute_1_6983,refute_1_7022]) ).
cnf(refute_1_7024,plain,
( converse(join(converse(X_628),join(one,one))) != join(X_628,join(one,one))
| converse(join(converse(X_628),join(one,one))) != join(one,join(X_628,one))
| join(one,join(X_628,one)) = join(X_628,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),join(X_628,join(one,one))) ),[0],$fot(join(one,join(X_628,one)))]]) ).
cnf(refute_1_7025,plain,
( converse(join(converse(X_628),join(one,one))) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(X_628,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),join(one,join(X_628,one))) )],[refute_1_7023,refute_1_7024]) ).
cnf(refute_1_7026,plain,
join(one,join(X_628,one)) = join(X_628,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,one))),join(X_628,join(one,one))) )],[refute_1_6975,refute_1_7025]) ).
cnf(refute_1_7027,plain,
join(one,join(X_643,one)) = join(X_643,join(one,one)),
inference(subst,[],[refute_1_7026:[bind(X_628,$fot(X_643))]]) ).
cnf(refute_1_7028,plain,
join(one,X_643) = join(X_643,one),
inference(subst,[],[refute_1_1:[bind(X0,$fot(one)),bind(X1,$fot(X_643))]]) ).
cnf(refute_1_7029,plain,
( join(one,X_643) != join(X_643,one)
| join(X_643,one) = join(one,X_643) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,X_643))),bind(Y,$fot(join(X_643,one)))]]) ).
cnf(refute_1_7030,plain,
join(X_643,one) = join(one,X_643),
inference(resolve,[$cnf( $equal(join(one,X_643),join(X_643,one)) )],[refute_1_7028,refute_1_7029]) ).
cnf(refute_1_7031,plain,
( join(X_643,one) != join(one,X_643)
| join(one,join(X_643,one)) != join(X_643,join(one,one))
| join(one,join(one,X_643)) = join(X_643,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_643,one)),join(X_643,join(one,one))) ),[0,1],$fot(join(one,X_643))]]) ).
cnf(refute_1_7032,plain,
( join(one,join(X_643,one)) != join(X_643,join(one,one))
| join(one,join(one,X_643)) = join(X_643,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X_643,one),join(one,X_643)) )],[refute_1_7030,refute_1_7031]) ).
cnf(refute_1_7033,plain,
join(one,join(one,X_643)) = join(X_643,join(one,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_643,one)),join(X_643,join(one,one))) )],[refute_1_7027,refute_1_7032]) ).
cnf(refute_1_7034,plain,
join(one,join(one,X_628)) = join(X_628,join(one,one)),
inference(subst,[],[refute_1_7033:[bind(X_643,$fot(X_628))]]) ).
cnf(refute_1_7035,plain,
( join(one,join(one,X_628)) != join(X_628,join(one,one))
| join(X_628,join(one,one)) = join(one,join(one,X_628)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,join(one,X_628)))),bind(Y,$fot(join(X_628,join(one,one))))]]) ).
cnf(refute_1_7036,plain,
join(X_628,join(one,one)) = join(one,join(one,X_628)),
inference(resolve,[$cnf( $equal(join(one,join(one,X_628)),join(X_628,join(one,one))) )],[refute_1_7034,refute_1_7035]) ).
cnf(refute_1_7037,plain,
( join(X_628,join(one,one)) != join(one,join(one,X_628))
| join(one,join(X_628,one)) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(one,join(one,X_628)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,one)),join(X_628,join(one,one))) ),[1],$fot(join(one,join(one,X_628)))]]) ).
cnf(refute_1_7038,plain,
( join(one,join(X_628,one)) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(one,join(one,X_628)) ),
inference(resolve,[$cnf( $equal(join(X_628,join(one,one)),join(one,join(one,X_628))) )],[refute_1_7036,refute_1_7037]) ).
cnf(refute_1_7039,plain,
join(one,join(X_628,one)) = join(one,join(one,X_628)),
inference(resolve,[$cnf( $equal(join(one,join(X_628,one)),join(X_628,join(one,one))) )],[refute_1_7026,refute_1_7038]) ).
cnf(refute_1_7040,plain,
converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(X_628,converse(join(one,join(one,join(one,one))))),
inference(subst,[],[refute_1_194:[bind(X0,$fot(X_628)),bind(X_594,$fot(join(one,join(one,join(one,one)))))]]) ).
cnf(refute_1_7041,plain,
converse(join(one,join(one,join(one,one)))) = join(one,converse(join(one,join(one,one)))),
inference(subst,[],[refute_1_204:[bind(X1,$fot(join(one,join(one,one))))]]) ).
cnf(refute_1_7042,plain,
converse(join(one,join(one,one))) = join(one,converse(join(one,one))),
inference(subst,[],[refute_1_204:[bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_1_7043,plain,
( converse(join(one,join(one,one))) != join(one,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(one,join(one,one))) = join(one,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,one))),join(one,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_1_7044,plain,
( converse(join(one,join(one,one))) != join(one,converse(join(one,one)))
| converse(join(one,join(one,one))) = join(one,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_1_208,refute_1_7043]) ).
cnf(refute_1_7045,plain,
converse(join(one,join(one,one))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,converse(join(one,one)))) )],[refute_1_7042,refute_1_7044]) ).
cnf(refute_1_7046,plain,
( converse(join(one,join(one,join(one,one)))) != join(one,converse(join(one,join(one,one))))
| converse(join(one,join(one,one))) != join(one,join(one,one))
| converse(join(one,join(one,join(one,one)))) = join(one,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,converse(join(one,join(one,one))))) ),[1,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_1_7047,plain,
( converse(join(one,join(one,join(one,one)))) != join(one,converse(join(one,join(one,one))))
| converse(join(one,join(one,join(one,one)))) = join(one,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,join(one,one))) )],[refute_1_7045,refute_1_7046]) ).
cnf(refute_1_7048,plain,
converse(join(one,join(one,join(one,one)))) = join(one,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,converse(join(one,join(one,one))))) )],[refute_1_7041,refute_1_7047]) ).
cnf(refute_1_7049,plain,
( converse(join(converse(X_628),join(one,join(one,join(one,one))))) != join(X_628,converse(join(one,join(one,join(one,one)))))
| converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(X_628,join(one,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),join(X_628,converse(join(one,join(one,join(one,one)))))) ),[1,1],$fot(join(one,join(one,join(one,one))))]]) ).
cnf(refute_1_7050,plain,
( converse(join(converse(X_628),join(one,join(one,join(one,one))))) != join(X_628,converse(join(one,join(one,join(one,one)))))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(X_628,join(one,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,join(one,join(one,one)))) )],[refute_1_7048,refute_1_7049]) ).
cnf(refute_1_7051,plain,
converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(X_628,join(one,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),join(X_628,converse(join(one,join(one,join(one,one)))))) )],[refute_1_7040,refute_1_7050]) ).
cnf(refute_1_7052,plain,
join(X_628,converse(join(one,join(one,one)))) = join(X_628,converse(join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X_628,converse(join(one,join(one,one)))))]]) ).
cnf(refute_1_7053,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(X_628,converse(join(one,join(one,one)))) != join(X_628,converse(join(one,join(one,one))))
| join(X_628,converse(join(one,join(one,one)))) = join(X_628,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_628,converse(join(one,join(one,one)))),join(X_628,converse(join(one,join(one,one))))) ),[1,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_1_7054,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(X_628,converse(join(one,join(one,one)))) = join(X_628,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X_628,converse(join(one,join(one,one)))),join(X_628,converse(join(one,join(one,one))))) )],[refute_1_7052,refute_1_7053]) ).
cnf(refute_1_7055,plain,
join(X_628,converse(join(one,join(one,one)))) = join(X_628,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,join(one,one))) )],[refute_1_7045,refute_1_7054]) ).
cnf(refute_1_7056,plain,
join(one,join(X_628,converse(join(one,join(one,one))))) = join(one,join(X_628,converse(join(one,join(one,one))))),
introduced(tautology,[refl,[$fot(join(one,join(X_628,converse(join(one,join(one,one))))))]]) ).
cnf(refute_1_7057,plain,
( join(X_628,converse(join(one,join(one,one)))) != join(X_628,join(one,join(one,one)))
| join(one,join(X_628,converse(join(one,join(one,one))))) != join(one,join(X_628,converse(join(one,join(one,one)))))
| join(one,join(X_628,converse(join(one,join(one,one))))) = join(one,join(X_628,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,converse(join(one,join(one,one))))),join(one,join(X_628,converse(join(one,join(one,one)))))) ),[1,1],$fot(join(X_628,join(one,join(one,one))))]]) ).
cnf(refute_1_7058,plain,
( join(X_628,converse(join(one,join(one,one)))) != join(X_628,join(one,join(one,one)))
| join(one,join(X_628,converse(join(one,join(one,one))))) = join(one,join(X_628,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_628,converse(join(one,join(one,one))))),join(one,join(X_628,converse(join(one,join(one,one)))))) )],[refute_1_7056,refute_1_7057]) ).
cnf(refute_1_7059,plain,
join(one,join(X_628,converse(join(one,join(one,one))))) = join(one,join(X_628,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(join(X_628,converse(join(one,join(one,one)))),join(X_628,join(one,join(one,one)))) )],[refute_1_7055,refute_1_7058]) ).
cnf(refute_1_7060,plain,
converse(join(one,join(converse(X_628),join(one,join(one,one))))) = join(one,join(X_628,converse(join(one,join(one,one))))),
inference(subst,[],[refute_1_6988:[bind(X_629,$fot(join(one,join(one,one))))]]) ).
cnf(refute_1_7061,plain,
converse(join(converse(X_628),join(one,join(one,join(one,one))))) = converse(join(one,join(converse(X_628),join(one,join(one,one))))),
inference(subst,[],[refute_1_7016:[bind(X1,$fot(join(one,join(one,one)))),bind(X_599,$fot(converse(X_628))),bind(X_600,$fot(one))]]) ).
cnf(refute_1_7062,plain,
( converse(join(converse(X_628),join(one,join(one,join(one,one))))) != converse(join(one,join(converse(X_628),join(one,join(one,one)))))
| converse(join(one,join(converse(X_628),join(one,join(one,one))))) != join(one,join(X_628,converse(join(one,join(one,one)))))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(one,join(X_628,converse(join(one,join(one,one))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(X_628),join(one,join(one,join(one,one))))))),bind(Y,$fot(converse(join(one,join(converse(X_628),join(one,join(one,one))))))),bind(Z,$fot(join(one,join(X_628,converse(join(one,join(one,one)))))))]]) ).
cnf(refute_1_7063,plain,
( converse(join(one,join(converse(X_628),join(one,join(one,one))))) != join(one,join(X_628,converse(join(one,join(one,one)))))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(one,join(X_628,converse(join(one,join(one,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),converse(join(one,join(converse(X_628),join(one,join(one,one)))))) )],[refute_1_7061,refute_1_7062]) ).
cnf(refute_1_7064,plain,
converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(one,join(X_628,converse(join(one,join(one,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_628),join(one,join(one,one))))),join(one,join(X_628,converse(join(one,join(one,one)))))) )],[refute_1_7060,refute_1_7063]) ).
cnf(refute_1_7065,plain,
( converse(join(converse(X_628),join(one,join(one,join(one,one))))) != join(one,join(X_628,converse(join(one,join(one,one)))))
| join(one,join(X_628,converse(join(one,join(one,one))))) != join(one,join(X_628,join(one,join(one,one))))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(one,join(X_628,join(one,join(one,one)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(converse(X_628),join(one,join(one,join(one,one))))))),bind(Y,$fot(join(one,join(X_628,converse(join(one,join(one,one))))))),bind(Z,$fot(join(one,join(X_628,join(one,join(one,one))))))]]) ).
cnf(refute_1_7066,plain,
( join(one,join(X_628,converse(join(one,join(one,one))))) != join(one,join(X_628,join(one,join(one,one))))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(one,join(X_628,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),join(one,join(X_628,converse(join(one,join(one,one)))))) )],[refute_1_7064,refute_1_7065]) ).
cnf(refute_1_7067,plain,
converse(join(converse(X_628),join(one,join(one,join(one,one))))) = join(one,join(X_628,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(join(one,join(X_628,converse(join(one,join(one,one))))),join(one,join(X_628,join(one,join(one,one))))) )],[refute_1_7059,refute_1_7066]) ).
cnf(refute_1_7068,plain,
( converse(join(converse(X_628),join(one,join(one,join(one,one))))) != join(X_628,join(one,join(one,join(one,one))))
| converse(join(converse(X_628),join(one,join(one,join(one,one))))) != join(one,join(X_628,join(one,join(one,one))))
| join(one,join(X_628,join(one,join(one,one)))) = join(X_628,join(one,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),join(X_628,join(one,join(one,join(one,one))))) ),[0],$fot(join(one,join(X_628,join(one,join(one,one)))))]]) ).
cnf(refute_1_7069,plain,
( converse(join(converse(X_628),join(one,join(one,join(one,one))))) != join(X_628,join(one,join(one,join(one,one))))
| join(one,join(X_628,join(one,join(one,one)))) = join(X_628,join(one,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),join(one,join(X_628,join(one,join(one,one))))) )],[refute_1_7067,refute_1_7068]) ).
cnf(refute_1_7070,plain,
join(one,join(X_628,join(one,join(one,one)))) = join(X_628,join(one,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_628),join(one,join(one,join(one,one))))),join(X_628,join(one,join(one,join(one,one))))) )],[refute_1_7051,refute_1_7069]) ).
cnf(refute_1_7071,plain,
composition(join(one,one),join(one,one)) = join(join(one,one),join(one,one)),
inference(subst,[],[refute_1_181:[bind(X_635,$fot(join(one,one)))]]) ).
cnf(refute_1_7072,plain,
join(one,join(join(one,one),one)) = join(join(one,one),join(one,one)),
inference(subst,[],[refute_1_7026:[bind(X_628,$fot(join(one,one)))]]) ).
cnf(refute_1_7073,plain,
( join(one,join(join(one,one),one)) != join(join(one,one),join(one,one))
| join(join(one,one),join(one,one)) = join(one,join(join(one,one),one)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,join(join(one,one),one)))),bind(Y,$fot(join(join(one,one),join(one,one))))]]) ).
cnf(refute_1_7074,plain,
join(join(one,one),join(one,one)) = join(one,join(join(one,one),one)),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),one)),join(join(one,one),join(one,one))) )],[refute_1_7072,refute_1_7073]) ).
cnf(refute_1_7075,plain,
( composition(join(one,one),join(one,one)) != join(join(one,one),join(one,one))
| join(join(one,one),join(one,one)) != join(one,join(join(one,one),one))
| composition(join(one,one),join(one,one)) = join(one,join(join(one,one),one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),join(one,one)),join(one,join(join(one,one),one))) ),[0],$fot(join(join(one,one),join(one,one)))]]) ).
cnf(refute_1_7076,plain,
( composition(join(one,one),join(one,one)) != join(join(one,one),join(one,one))
| composition(join(one,one),join(one,one)) = join(one,join(join(one,one),one)) ),
inference(resolve,[$cnf( $equal(join(join(one,one),join(one,one)),join(one,join(join(one,one),one))) )],[refute_1_7074,refute_1_7075]) ).
cnf(refute_1_7077,plain,
composition(join(one,one),join(one,one)) = join(one,join(join(one,one),one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(one,one)),join(join(one,one),join(one,one))) )],[refute_1_7071,refute_1_7076]) ).
cnf(refute_1_7078,plain,
join(join(one,one),one) = join(one,join(one,one)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(one))]]) ).
cnf(refute_1_7079,plain,
join(one,join(join(one,one),one)) = join(one,join(join(one,one),one)),
introduced(tautology,[refl,[$fot(join(one,join(join(one,one),one)))]]) ).
cnf(refute_1_7080,plain,
( join(join(one,one),one) != join(one,join(one,one))
| join(one,join(join(one,one),one)) != join(one,join(join(one,one),one))
| join(one,join(join(one,one),one)) = join(one,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,one),one)),join(one,join(join(one,one),one))) ),[1,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_1_7081,plain,
( join(join(one,one),one) != join(one,join(one,one))
| join(one,join(join(one,one),one)) = join(one,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),one)),join(one,join(join(one,one),one))) )],[refute_1_7079,refute_1_7080]) ).
cnf(refute_1_7082,plain,
join(one,join(join(one,one),one)) = join(one,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(join(join(one,one),one),join(one,join(one,one))) )],[refute_1_7078,refute_1_7081]) ).
cnf(refute_1_7083,plain,
( composition(join(one,one),join(one,one)) != join(one,join(join(one,one),one))
| join(one,join(join(one,one),one)) != join(one,join(one,join(one,one)))
| composition(join(one,one),join(one,one)) = join(one,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),join(one,one)),join(one,join(one,join(one,one)))) ),[0],$fot(join(one,join(join(one,one),one)))]]) ).
cnf(refute_1_7084,plain,
( composition(join(one,one),join(one,one)) != join(one,join(join(one,one),one))
| composition(join(one,one),join(one,one)) = join(one,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),one)),join(one,join(one,join(one,one)))) )],[refute_1_7082,refute_1_7083]) ).
cnf(refute_1_7085,plain,
composition(join(one,one),join(one,one)) = join(one,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(one,one)),join(one,join(join(one,one),one))) )],[refute_1_7077,refute_1_7084]) ).
cnf(refute_1_7086,plain,
( composition(join(one,one),join(one,one)) != join(one,join(one,join(one,one)))
| join(one,join(one,join(one,one))) = composition(join(one,one),join(one,one)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(join(one,one),join(one,one)))),bind(Y,$fot(join(one,join(one,join(one,one)))))]]) ).
cnf(refute_1_7087,plain,
join(one,join(one,join(one,one))) = composition(join(one,one),join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(one,one)),join(one,join(one,join(one,one)))) )],[refute_1_7085,refute_1_7086]) ).
cnf(refute_1_7088,plain,
join(X_628,join(one,join(one,join(one,one)))) = join(X_628,join(one,join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X_628,join(one,join(one,join(one,one)))))]]) ).
cnf(refute_1_7089,plain,
( join(X_628,join(one,join(one,join(one,one)))) != join(X_628,join(one,join(one,join(one,one))))
| join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| join(X_628,join(one,join(one,join(one,one)))) = join(X_628,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_628,join(one,join(one,join(one,one)))),join(X_628,join(one,join(one,join(one,one))))) ),[1,1],$fot(composition(join(one,one),join(one,one)))]]) ).
cnf(refute_1_7090,plain,
( join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| join(X_628,join(one,join(one,join(one,one)))) = join(X_628,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X_628,join(one,join(one,join(one,one)))),join(X_628,join(one,join(one,join(one,one))))) )],[refute_1_7088,refute_1_7089]) ).
cnf(refute_1_7091,plain,
join(X_628,join(one,join(one,join(one,one)))) = join(X_628,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,one))),composition(join(one,one),join(one,one))) )],[refute_1_7087,refute_1_7090]) ).
cnf(refute_1_7092,plain,
( join(X_628,join(one,join(one,join(one,one)))) != join(X_628,composition(join(one,one),join(one,one)))
| join(one,join(X_628,join(one,join(one,one)))) != join(X_628,join(one,join(one,join(one,one))))
| join(one,join(X_628,join(one,join(one,one)))) = join(X_628,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(X_628,join(one,join(one,join(one,one))))) ),[1],$fot(join(X_628,composition(join(one,one),join(one,one))))]]) ).
cnf(refute_1_7093,plain,
( join(one,join(X_628,join(one,join(one,one)))) != join(X_628,join(one,join(one,join(one,one))))
| join(one,join(X_628,join(one,join(one,one)))) = join(X_628,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X_628,join(one,join(one,join(one,one)))),join(X_628,composition(join(one,one),join(one,one)))) )],[refute_1_7091,refute_1_7092]) ).
cnf(refute_1_7094,plain,
join(one,join(X_628,join(one,join(one,one)))) = join(X_628,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(X_628,join(one,join(one,join(one,one))))) )],[refute_1_7070,refute_1_7093]) ).
cnf(refute_1_7095,plain,
composition(join(one,one),join(one,one)) = join(one,one),
inference(subst,[],[refute_1_595:[bind(X_706,$fot(join(one,one)))]]) ).
cnf(refute_1_7096,plain,
join(X_628,composition(join(one,one),join(one,one))) = join(X_628,composition(join(one,one),join(one,one))),
introduced(tautology,[refl,[$fot(join(X_628,composition(join(one,one),join(one,one))))]]) ).
cnf(refute_1_7097,plain,
( composition(join(one,one),join(one,one)) != join(one,one)
| join(X_628,composition(join(one,one),join(one,one))) != join(X_628,composition(join(one,one),join(one,one)))
| join(X_628,composition(join(one,one),join(one,one))) = join(X_628,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_628,composition(join(one,one),join(one,one))),join(X_628,composition(join(one,one),join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_1_7098,plain,
( composition(join(one,one),join(one,one)) != join(one,one)
| join(X_628,composition(join(one,one),join(one,one))) = join(X_628,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X_628,composition(join(one,one),join(one,one))),join(X_628,composition(join(one,one),join(one,one)))) )],[refute_1_7096,refute_1_7097]) ).
cnf(refute_1_7099,plain,
join(X_628,composition(join(one,one),join(one,one))) = join(X_628,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(one,one)),join(one,one)) )],[refute_1_7095,refute_1_7098]) ).
cnf(refute_1_7100,plain,
( join(X_628,composition(join(one,one),join(one,one))) != join(X_628,join(one,one))
| join(one,join(X_628,join(one,join(one,one)))) != join(X_628,composition(join(one,one),join(one,one)))
| join(one,join(X_628,join(one,join(one,one)))) = join(X_628,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(X_628,composition(join(one,one),join(one,one)))) ),[1],$fot(join(X_628,join(one,one)))]]) ).
cnf(refute_1_7101,plain,
( join(one,join(X_628,join(one,join(one,one)))) != join(X_628,composition(join(one,one),join(one,one)))
| join(one,join(X_628,join(one,join(one,one)))) = join(X_628,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X_628,composition(join(one,one),join(one,one))),join(X_628,join(one,one))) )],[refute_1_7099,refute_1_7100]) ).
cnf(refute_1_7102,plain,
join(one,join(X_628,join(one,join(one,one)))) = join(X_628,join(one,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(X_628,composition(join(one,one),join(one,one)))) )],[refute_1_7094,refute_1_7101]) ).
cnf(refute_1_7103,plain,
join(one,join(one,one)) = join(one,join(one,one)),
introduced(tautology,[refl,[$fot(join(one,join(one,one)))]]) ).
cnf(refute_1_7104,plain,
( join(one,join(one,one)) != join(one,join(one,one))
| join(one,one) != one
| join(one,join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,one)),join(one,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_7105,plain,
( join(one,one) != one
| join(one,join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(one,join(one,one))) )],[refute_1_7103,refute_1_7104]) ).
cnf(refute_1_7106,plain,
join(one,join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_1_619,refute_1_7105]) ).
cnf(refute_1_7107,plain,
( join(one,join(one,one)) != join(one,one)
| join(one,one) != one
| join(one,join(one,one)) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,join(one,one)))),bind(Y,$fot(join(one,one))),bind(Z,$fot(one))]]) ).
cnf(refute_1_7108,plain,
( join(one,one) != one
| join(one,join(one,one)) = one ),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(one,one)) )],[refute_1_7106,refute_1_7107]) ).
cnf(refute_1_7109,plain,
join(one,join(one,one)) = one,
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_1_619,refute_1_7108]) ).
cnf(refute_1_7110,plain,
join(X_628,join(one,join(one,one))) = join(X_628,join(one,join(one,one))),
introduced(tautology,[refl,[$fot(join(X_628,join(one,join(one,one))))]]) ).
cnf(refute_1_7111,plain,
( join(X_628,join(one,join(one,one))) != join(X_628,join(one,join(one,one)))
| join(one,join(one,one)) != one
| join(X_628,join(one,join(one,one))) = join(X_628,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_628,join(one,join(one,one))),join(X_628,join(one,join(one,one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_7112,plain,
( join(one,join(one,one)) != one
| join(X_628,join(one,join(one,one))) = join(X_628,one) ),
inference(resolve,[$cnf( $equal(join(X_628,join(one,join(one,one))),join(X_628,join(one,join(one,one)))) )],[refute_1_7110,refute_1_7111]) ).
cnf(refute_1_7113,plain,
join(X_628,join(one,join(one,one))) = join(X_628,one),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),one) )],[refute_1_7109,refute_1_7112]) ).
cnf(refute_1_7114,plain,
join(one,join(X_628,join(one,join(one,one)))) = join(one,join(X_628,join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(one,join(X_628,join(one,join(one,one)))))]]) ).
cnf(refute_1_7115,plain,
( join(X_628,join(one,join(one,one))) != join(X_628,one)
| join(one,join(X_628,join(one,join(one,one)))) != join(one,join(X_628,join(one,join(one,one))))
| join(one,join(X_628,join(one,join(one,one)))) = join(one,join(X_628,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(one,join(X_628,join(one,join(one,one))))) ),[1,1],$fot(join(X_628,one))]]) ).
cnf(refute_1_7116,plain,
( join(X_628,join(one,join(one,one))) != join(X_628,one)
| join(one,join(X_628,join(one,join(one,one)))) = join(one,join(X_628,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(one,join(X_628,join(one,join(one,one))))) )],[refute_1_7114,refute_1_7115]) ).
cnf(refute_1_7117,plain,
join(one,join(X_628,join(one,join(one,one)))) = join(one,join(X_628,one)),
inference(resolve,[$cnf( $equal(join(X_628,join(one,join(one,one))),join(X_628,one)) )],[refute_1_7113,refute_1_7116]) ).
cnf(refute_1_7118,plain,
( join(one,join(X_628,join(one,join(one,one)))) != join(X_628,join(one,one))
| join(one,join(X_628,join(one,join(one,one)))) != join(one,join(X_628,one))
| join(one,join(X_628,one)) = join(X_628,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(X_628,join(one,one))) ),[0],$fot(join(one,join(X_628,one)))]]) ).
cnf(refute_1_7119,plain,
( join(one,join(X_628,join(one,join(one,one)))) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(X_628,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(one,join(X_628,one))) )],[refute_1_7117,refute_1_7118]) ).
cnf(refute_1_7120,plain,
join(X_628,join(one,one)) = join(X_628,join(one,one)),
introduced(tautology,[refl,[$fot(join(X_628,join(one,one)))]]) ).
cnf(refute_1_7121,plain,
( join(X_628,join(one,one)) != join(X_628,join(one,one))
| join(one,one) != one
| join(X_628,join(one,one)) = join(X_628,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_628,join(one,one)),join(X_628,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_7122,plain,
( join(one,one) != one
| join(X_628,join(one,one)) = join(X_628,one) ),
inference(resolve,[$cnf( $equal(join(X_628,join(one,one)),join(X_628,join(one,one))) )],[refute_1_7120,refute_1_7121]) ).
cnf(refute_1_7123,plain,
join(X_628,join(one,one)) = join(X_628,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_1_619,refute_1_7122]) ).
cnf(refute_1_7124,plain,
( join(X_628,join(one,one)) != join(X_628,one)
| join(one,join(X_628,one)) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(X_628,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,one)),join(X_628,join(one,one))) ),[1],$fot(join(X_628,one))]]) ).
cnf(refute_1_7125,plain,
( join(one,join(X_628,one)) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(X_628,one) ),
inference(resolve,[$cnf( $equal(join(X_628,join(one,one)),join(X_628,one)) )],[refute_1_7123,refute_1_7124]) ).
cnf(refute_1_7126,plain,
( join(one,join(X_628,join(one,join(one,one)))) != join(X_628,join(one,one))
| join(one,join(X_628,one)) = join(X_628,one) ),
inference(resolve,[$cnf( $equal(join(one,join(X_628,one)),join(X_628,join(one,one))) )],[refute_1_7119,refute_1_7125]) ).
cnf(refute_1_7127,plain,
join(one,join(X_628,one)) = join(X_628,one),
inference(resolve,[$cnf( $equal(join(one,join(X_628,join(one,join(one,one)))),join(X_628,join(one,one))) )],[refute_1_7102,refute_1_7126]) ).
cnf(refute_1_7128,plain,
( join(one,join(X_628,one)) != join(X_628,one)
| join(one,join(X_628,one)) != join(one,join(one,X_628))
| join(X_628,one) = join(one,join(one,X_628)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_628,one)),join(one,join(one,X_628))) ),[0],$fot(join(X_628,one))]]) ).
cnf(refute_1_7129,plain,
( join(one,join(X_628,one)) != join(one,join(one,X_628))
| join(X_628,one) = join(one,join(one,X_628)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_628,one)),join(X_628,one)) )],[refute_1_7127,refute_1_7128]) ).
cnf(refute_1_7130,plain,
join(one,join(one,X_628)) = join(one,X_628),
inference(subst,[],[refute_1_650:[bind(X0,$fot(one)),bind(X1,$fot(X_628))]]) ).
cnf(refute_1_7131,plain,
( join(X_628,one) != join(one,join(one,X_628))
| join(one,join(one,X_628)) != join(one,X_628)
| join(X_628,one) = join(one,X_628) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_628,one),join(one,X_628)) ),[0],$fot(join(one,join(one,X_628)))]]) ).
cnf(refute_1_7132,plain,
( join(X_628,one) != join(one,join(one,X_628))
| join(X_628,one) = join(one,X_628) ),
inference(resolve,[$cnf( $equal(join(one,join(one,X_628)),join(one,X_628)) )],[refute_1_7130,refute_1_7131]) ).
cnf(refute_1_7133,plain,
( join(one,join(X_628,one)) != join(one,join(one,X_628))
| join(X_628,one) = join(one,X_628) ),
inference(resolve,[$cnf( $equal(join(X_628,one),join(one,join(one,X_628))) )],[refute_1_7129,refute_1_7132]) ).
cnf(refute_1_7134,plain,
join(X_628,one) = join(one,X_628),
inference(resolve,[$cnf( $equal(join(one,join(X_628,one)),join(one,join(one,X_628))) )],[refute_1_7039,refute_1_7133]) ).
cnf(refute_1_7135,plain,
join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))),
inference(subst,[],[refute_1_7134:[bind(X_628,$fot(complement(join(skolemFOFtoCNF_X0_1,X_744))))]]) ).
cnf(refute_1_7136,plain,
join(one,zero) = one,
inference(subst,[],[refute_1_1534:[bind(X1,$fot(one))]]) ).
cnf(refute_1_7137,plain,
join(one,complement(converse(top))) = join(one,complement(converse(top))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(top))))]]) ).
cnf(refute_1_7138,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) != join(one,complement(converse(top)))
| join(one,complement(converse(top))) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_7139,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) )],[refute_1_7137,refute_1_7138]) ).
cnf(refute_1_7140,plain,
join(one,complement(converse(top))) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_1_529,refute_1_7139]) ).
cnf(refute_1_7141,plain,
( join(one,complement(converse(top))) != join(one,zero)
| join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,complement(converse(top))))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_1_7142,plain,
( join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,zero)) )],[refute_1_7140,refute_1_7141]) ).
cnf(refute_1_7143,plain,
join(one,complement(converse(top))) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_1_7136,refute_1_7142]) ).
cnf(refute_1_7144,plain,
converse(join(one,complement(converse(top)))) = converse(join(one,complement(converse(top)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(top)))))]]) ).
cnf(refute_1_7145,plain,
( converse(join(one,complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_7146,plain,
( join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_1_7144,refute_1_7145]) ).
cnf(refute_1_7147,plain,
converse(join(one,complement(converse(top)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),one) )],[refute_1_7143,refute_1_7146]) ).
cnf(refute_1_7148,plain,
( converse(join(one,complement(converse(top)))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(join(one,complement(converse(top)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_1_7149,plain,
( converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(one)) )],[refute_1_7147,refute_1_7148]) ).
cnf(refute_1_7150,plain,
converse(join(one,complement(converse(top)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_99,refute_1_7149]) ).
cnf(refute_1_7151,plain,
join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_1_7152,plain,
( converse(join(one,complement(converse(top)))) != one
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) != join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))),join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_1_7153,plain,
( converse(join(one,complement(converse(top)))) != one
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))),join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) )],[refute_1_7151,refute_1_7152]) ).
cnf(refute_1_7154,plain,
join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_1_7150,refute_1_7153]) ).
cnf(refute_1_7155,plain,
( join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) != join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one)
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one) != join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))),bind(Y,$fot(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one))),bind(Z,$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))))]]) ).
cnf(refute_1_7156,plain,
( join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one) != join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))),join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one)) )],[refute_1_7154,refute_1_7155]) ).
cnf(refute_1_7157,plain,
join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),one),join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) )],[refute_1_7135,refute_1_7156]) ).
cnf(refute_1_7158,plain,
join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) = join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))))]]) ).
cnf(refute_1_7159,plain,
( join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) != join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))
| join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) != join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))
| join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))),join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))) ),[1,1],$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))]]) ).
cnf(refute_1_7160,plain,
( join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))) != join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))
| join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
inference(resolve,[$cnf( $equal(join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))),join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))) )],[refute_1_7158,refute_1_7159]) ).
cnf(refute_1_7161,plain,
join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))),join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) )],[refute_1_7157,refute_1_7160]) ).
cnf(refute_1_7162,plain,
join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) = join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(X_744)),bind(X1,$fot(complement(join(skolemFOFtoCNF_X0_1,X_744)))),bind(X2,$fot(converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_1_7163,plain,
( join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) != join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) != join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))
| join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))))),bind(Z,$fot(join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))))]]) ).
cnf(refute_1_7164,plain,
( join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))) != join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
inference(resolve,[$cnf( $equal(join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))),join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top))))))) )],[refute_1_7162,refute_1_7163]) ).
cnf(refute_1_7165,plain,
join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(resolve,[$cnf( $equal(join(X_744,join(complement(join(skolemFOFtoCNF_X0_1,X_744)),converse(join(one,complement(converse(top)))))),join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))) )],[refute_1_7161,refute_1_7164]) ).
cnf(refute_1_7166,plain,
( join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))) != join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))
| top != join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top)))))
| top = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top)))))) ),[1],$fot(join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))))]]) ).
cnf(refute_1_7167,plain,
( top != join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top)))))
| top = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))) ),
inference(resolve,[$cnf( $equal(join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top))))),join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744))))) )],[refute_1_7165,refute_1_7166]) ).
cnf(refute_1_7168,plain,
top = join(X_744,join(one,complement(join(skolemFOFtoCNF_X0_1,X_744)))),
inference(resolve,[$cnf( $equal(top,join(join(X_744,complement(join(skolemFOFtoCNF_X0_1,X_744))),converse(join(one,complement(converse(top)))))) )],[refute_1_6971,refute_1_7167]) ).
cnf(refute_1_7169,plain,
top = join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),
inference(subst,[],[refute_1_7168:[bind(X_744,$fot(complement(X_675)))]]) ).
cnf(refute_1_7170,plain,
( top != join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))
| join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) = top ),
inference(subst,[],[refute_1_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))))]]) ).
cnf(refute_1_7171,plain,
join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) )],[refute_1_7169,refute_1_7170]) ).
cnf(refute_1_7172,plain,
( X_675 != meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))))
| join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) != top
| X_675 = meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_675,meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_1_7173,plain,
( X_675 != meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))))
| X_675 = meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),top) )],[refute_1_7171,refute_1_7172]) ).
cnf(refute_1_7174,plain,
X_675 = meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))),
inference(resolve,[$cnf( $equal(X_675,meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(complement(X_675),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))))) )],[refute_1_6941,refute_1_7173]) ).
cnf(refute_1_7175,plain,
meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))) = join(skolemFOFtoCNF_X0_1,complement(X_675)),
inference(subst,[],[refute_1_1989:[bind(X1,$fot(join(skolemFOFtoCNF_X0_1,complement(X_675))))]]) ).
cnf(refute_1_7176,plain,
complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))))]]) ).
cnf(refute_1_7177,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) != complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))))
| meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))) != join(skolemFOFtoCNF_X0_1,complement(X_675))
| complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(join(skolemFOFtoCNF_X0_1,complement(X_675))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,complement(X_675)))]]) ).
cnf(refute_1_7178,plain,
( meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))) != join(skolemFOFtoCNF_X0_1,complement(X_675))
| complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(join(skolemFOFtoCNF_X0_1,complement(X_675))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))))) )],[refute_1_7176,refute_1_7177]) ).
cnf(refute_1_7179,plain,
complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),
inference(resolve,[$cnf( $equal(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))),join(skolemFOFtoCNF_X0_1,complement(X_675))) )],[refute_1_7175,refute_1_7178]) ).
cnf(refute_1_7180,plain,
join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))),
inference(subst,[],[refute_1_1124:[bind(X0,$fot(top)),bind(X1,$fot(join(skolemFOFtoCNF_X0_1,complement(X_675))))]]) ).
cnf(refute_1_7181,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) != complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))
| join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) != complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))))
| join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(join(skolemFOFtoCNF_X0_1,complement(X_675))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))),bind(Y,$fot(complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))]]) ).
cnf(refute_1_7182,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))) != complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))
| join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(join(skolemFOFtoCNF_X0_1,complement(X_675))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675))))) )],[refute_1_7180,refute_1_7181]) ).
cnf(refute_1_7183,plain,
join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) = complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) )],[refute_1_7179,refute_1_7182]) ).
cnf(refute_1_7184,plain,
join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))]]) ).
cnf(refute_1_7185,plain,
( join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) != complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) != join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))]]) ).
cnf(refute_1_7186,plain,
( join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) != complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) )],[refute_1_7184,refute_1_7185]) ).
cnf(refute_1_7187,plain,
join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) )],[refute_1_7183,refute_1_7186]) ).
cnf(refute_1_7188,plain,
join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top))) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),
inference(subst,[],[refute_1_865:[bind(X0,$fot(one)),bind(X1,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),bind(X_737,$fot(complement(top)))]]) ).
cnf(refute_1_7189,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(one)),bind(X1,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),bind(X2,$fot(complement(top)))]]) ).
cnf(refute_1_7190,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) != join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top)))
| join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top))) != join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))),bind(Y,$fot(join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top))))),bind(Z,$fot(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))))]]) ).
cnf(refute_1_7191,plain,
( join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top))) != join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)),join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top)))) )],[refute_1_7189,refute_1_7190]) ).
cnf(refute_1_7192,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(X_675))),complement(top))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) )],[refute_1_7188,refute_1_7191]) ).
cnf(refute_1_7193,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) != join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) != join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))),bind(Y,$fot(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))),bind(Z,$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))))]]) ).
cnf(refute_1_7194,plain,
( join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) != join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) )],[refute_1_7192,refute_1_7193]) ).
cnf(refute_1_7195,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) )],[refute_1_7187,refute_1_7194]) ).
cnf(refute_1_7196,plain,
meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) = meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))),
introduced(tautology,[refl,[$fot(meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))))]]) ).
cnf(refute_1_7197,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) != join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))
| meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) != meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))
| meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) = meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))),meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))) ),[1,1],$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))]]) ).
cnf(refute_1_7198,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)) != join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))
| meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) = meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),
inference(resolve,[$cnf( $equal(meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))),meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))) )],[refute_1_7196,refute_1_7197]) ).
cnf(refute_1_7199,plain,
meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) = meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) )],[refute_1_7195,refute_1_7198]) ).
cnf(refute_1_7200,plain,
( X_675 != meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))
| meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))) != meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))
| X_675 = meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_675,meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) ),[0],$fot(meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))))]]) ).
cnf(refute_1_7201,plain,
( X_675 != meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))
| X_675 = meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))) ),
inference(resolve,[$cnf( $equal(meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top))),meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))))) )],[refute_1_7199,refute_1_7200]) ).
cnf(refute_1_7202,plain,
X_675 = meet(X_675,join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675))))),
inference(resolve,[$cnf( $equal(X_675,meet(X_675,join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_675)))),complement(top)))) )],[refute_1_7174,refute_1_7201]) ).
cnf(refute_1_7203,plain,
complement(X_898) = meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),
inference(subst,[],[refute_1_7202:[bind(X_675,$fot(complement(X_898)))]]) ).
cnf(refute_1_7204,plain,
( complement(X_898) != meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))
| meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) = complement(X_898) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(complement(X_898))),bind(Y,$fot(meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))))]]) ).
cnf(refute_1_7205,plain,
meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) = complement(X_898),
inference(resolve,[$cnf( $equal(complement(X_898),meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))) )],[refute_1_7203,refute_1_7204]) ).
cnf(refute_1_7206,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))
| meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) != complement(X_898)
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))) ),[1,1],$fot(complement(X_898))]]) ).
cnf(refute_1_7207,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),complement(X_898)) )],[refute_1_7205,refute_1_7206]) ).
cnf(refute_1_7208,plain,
join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),meet(complement(X_898),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))) )],[refute_1_6940,refute_1_7207]) ).
cnf(refute_1_7209,plain,
join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) = join(skolemFOFtoCNF_X0_1,complement(complement(X_898))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))]]) ).
cnf(refute_1_7210,plain,
( complement(complement(X_898)) != X_898
| join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) != join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))
| join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) = join(skolemFOFtoCNF_X0_1,X_898) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))),join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) ),[1,1],$fot(X_898)]]) ).
cnf(refute_1_7211,plain,
( complement(complement(X_898)) != X_898
| join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) = join(skolemFOFtoCNF_X0_1,X_898) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))),join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) )],[refute_1_7209,refute_1_7210]) ).
cnf(refute_1_7212,plain,
join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) = join(skolemFOFtoCNF_X0_1,X_898),
inference(resolve,[$cnf( $equal(complement(complement(X_898)),X_898) )],[refute_1_785,refute_1_7211]) ).
cnf(refute_1_7213,plain,
complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) = complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))]]) ).
cnf(refute_1_7214,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) != complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))
| join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) != join(skolemFOFtoCNF_X0_1,X_898)
| complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) = complement(join(skolemFOFtoCNF_X0_1,X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,X_898))]]) ).
cnf(refute_1_7215,plain,
( join(skolemFOFtoCNF_X0_1,complement(complement(X_898))) != join(skolemFOFtoCNF_X0_1,X_898)
| complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) = complement(join(skolemFOFtoCNF_X0_1,X_898)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) )],[refute_1_7213,refute_1_7214]) ).
cnf(refute_1_7216,plain,
complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) = complement(join(skolemFOFtoCNF_X0_1,X_898)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))),join(skolemFOFtoCNF_X0_1,X_898)) )],[refute_1_7212,refute_1_7215]) ).
cnf(refute_1_7217,plain,
join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),
introduced(tautology,[refl,[$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))]]) ).
cnf(refute_1_7218,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) != complement(join(skolemFOFtoCNF_X0_1,X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0_1,X_898)))]]) ).
cnf(refute_1_7219,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))) != complement(join(skolemFOFtoCNF_X0_1,X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) )],[refute_1_7217,refute_1_7218]) ).
cnf(refute_1_7220,plain,
join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(join(skolemFOFtoCNF_X0_1,X_898))) )],[refute_1_7216,refute_1_7219]) ).
cnf(refute_1_7221,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(one,complement(join(skolemFOFtoCNF_X0_1,X_898)))
| join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) = join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))) ),[0],$fot(join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))))]]) ).
cnf(refute_1_7222,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) = join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(one,complement(join(skolemFOFtoCNF_X0_1,X_898)))) )],[refute_1_7220,refute_1_7221]) ).
cnf(refute_1_7223,plain,
( X_675 != join(X_675,complement(join(X_676,complement(X_675))))
| join(X_675,complement(join(X_676,complement(X_675)))) = X_675 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(X_675)),bind(Y,$fot(join(X_675,complement(join(X_676,complement(X_675))))))]]) ).
cnf(refute_1_7224,plain,
join(X_675,complement(join(X_676,complement(X_675)))) = X_675,
inference(resolve,[$cnf( $equal(X_675,join(X_675,complement(join(X_676,complement(X_675))))) )],[refute_1_2751,refute_1_7223]) ).
cnf(refute_1_7225,plain,
join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) = complement(X_898),
inference(subst,[],[refute_1_7224:[bind(X_675,$fot(complement(X_898))),bind(X_676,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7226,plain,
join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) = join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))]]) ).
cnf(refute_1_7227,plain,
( join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != complement(X_898)
| join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) != join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))
| join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) = join(one,complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))) ),[1,1],$fot(complement(X_898))]]) ).
cnf(refute_1_7228,plain,
( join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != complement(X_898)
| join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) = join(one,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))) )],[refute_1_7226,refute_1_7227]) ).
cnf(refute_1_7229,plain,
join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) = join(one,complement(X_898)),
inference(resolve,[$cnf( $equal(join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) )],[refute_1_7225,refute_1_7228]) ).
cnf(refute_1_7230,plain,
join(join(one,X_884),X_883) = join(X_883,join(one,X_884)),
inference(subst,[],[refute_1_1:[bind(X0,$fot(join(one,X_884))),bind(X1,$fot(X_883))]]) ).
cnf(refute_1_7231,plain,
( join(join(one,X_884),X_883) != join(X_883,join(one,X_884))
| join(X_883,join(one,X_884)) = join(join(one,X_884),X_883) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(join(one,X_884),X_883))),bind(Y,$fot(join(X_883,join(one,X_884))))]]) ).
cnf(refute_1_7232,plain,
join(X_883,join(one,X_884)) = join(join(one,X_884),X_883),
inference(resolve,[$cnf( $equal(join(join(one,X_884),X_883),join(X_883,join(one,X_884))) )],[refute_1_7230,refute_1_7231]) ).
cnf(refute_1_7233,plain,
( join(X_883,join(one,X_884)) != join(join(one,X_884),X_883)
| join(X_883,join(one,X_884)) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(join(one,X_884),X_883) = join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_883,join(one,X_884)),join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))) ),[0],$fot(join(join(one,X_884),X_883))]]) ).
cnf(refute_1_7234,plain,
( join(X_883,join(one,X_884)) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(join(one,X_884),X_883) = join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) ),
inference(resolve,[$cnf( $equal(join(X_883,join(one,X_884)),join(join(one,X_884),X_883)) )],[refute_1_7232,refute_1_7233]) ).
cnf(refute_1_7235,plain,
join(join(one,X_884),X_883) = join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))),
inference(resolve,[$cnf( $equal(join(X_883,join(one,X_884)),join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))) )],[refute_1_2727,refute_1_7234]) ).
cnf(refute_1_7236,plain,
join(join(one,X_884),X_883) = join(one,join(X_884,X_883)),
inference(subst,[],[refute_1_62:[bind(X0,$fot(one)),bind(X1,$fot(X_884)),bind(X2,$fot(X_883))]]) ).
cnf(refute_1_7237,plain,
( join(join(one,X_884),X_883) != join(one,join(X_884,X_883))
| join(join(one,X_884),X_883) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(one,join(X_884,X_883)) = join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(one,X_884),X_883),join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))) ),[0],$fot(join(one,join(X_884,X_883)))]]) ).
cnf(refute_1_7238,plain,
( join(join(one,X_884),X_883) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(one,join(X_884,X_883)) = join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) ),
inference(resolve,[$cnf( $equal(join(join(one,X_884),X_883),join(one,join(X_884,X_883))) )],[refute_1_7236,refute_1_7237]) ).
cnf(refute_1_7239,plain,
join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884))) = join(one,join(X_883,X_884)),
inference(subst,[],[refute_1_1224:[bind(X_729,$fot(join(X_883,X_884)))]]) ).
cnf(refute_1_7240,plain,
join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) = join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884))),
inference(subst,[],[refute_1_3192:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(X_883))]]) ).
cnf(refute_1_7241,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884))) != join(one,join(X_883,X_884))
| join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) != join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884)))
| join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) = join(one,join(X_883,X_884)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884))))),bind(Z,$fot(join(one,join(X_883,X_884))))]]) ).
cnf(refute_1_7242,plain,
( join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884))) != join(one,join(X_883,X_884))
| join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) = join(one,join(X_883,X_884)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))),join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884)))) )],[refute_1_7240,refute_1_7241]) ).
cnf(refute_1_7243,plain,
join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) = join(one,join(X_883,X_884)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0_1,join(X_883,X_884))),join(one,join(X_883,X_884))) )],[refute_1_7239,refute_1_7242]) ).
cnf(refute_1_7244,plain,
( join(one,join(X_884,X_883)) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))) != join(one,join(X_883,X_884))
| join(one,join(X_884,X_883)) = join(one,join(X_883,X_884)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(X_884,X_883)),join(one,join(X_883,X_884))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))))]]) ).
cnf(refute_1_7245,plain,
( join(one,join(X_884,X_883)) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(one,join(X_884,X_883)) = join(one,join(X_883,X_884)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884))),join(one,join(X_883,X_884))) )],[refute_1_7243,refute_1_7244]) ).
cnf(refute_1_7246,plain,
( join(join(one,X_884),X_883) != join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))
| join(one,join(X_884,X_883)) = join(one,join(X_883,X_884)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_884,X_883)),join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))) )],[refute_1_7238,refute_1_7245]) ).
cnf(refute_1_7247,plain,
join(one,join(X_884,X_883)) = join(one,join(X_883,X_884)),
inference(resolve,[$cnf( $equal(join(join(one,X_884),X_883),join(skolemFOFtoCNF_X0_1,join(X_883,join(one,X_884)))) )],[refute_1_7235,refute_1_7246]) ).
cnf(refute_1_7248,plain,
( join(one,join(X_884,X_883)) != join(one,join(X_883,X_884))
| join(one,join(X_883,X_884)) = join(one,join(X_884,X_883)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(one,join(X_884,X_883)))),bind(Y,$fot(join(one,join(X_883,X_884))))]]) ).
cnf(refute_1_7249,plain,
join(one,join(X_883,X_884)) = join(one,join(X_884,X_883)),
inference(resolve,[$cnf( $equal(join(one,join(X_884,X_883)),join(one,join(X_883,X_884))) )],[refute_1_7247,refute_1_7248]) ).
cnf(refute_1_7250,plain,
join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898))) = join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),
inference(subst,[],[refute_1_7249:[bind(X_883,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),bind(X_884,$fot(complement(X_898)))]]) ).
cnf(refute_1_7251,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898))),
inference(subst,[],[refute_1_62:[bind(X0,$fot(one)),bind(X1,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),bind(X2,$fot(complement(X_898)))]]) ).
cnf(refute_1_7252,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) != join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898)))
| join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898))) != join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)))),bind(Y,$fot(join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898))))),bind(Z,$fot(join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))))]]) ).
cnf(refute_1_7253,plain,
( join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898))) != join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)),join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898)))) )],[refute_1_7251,refute_1_7252]) ).
cnf(refute_1_7254,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))),complement(X_898))),join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))) )],[refute_1_7250,refute_1_7253]) ).
cnf(refute_1_7255,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) != join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))
| join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) != join(one,complement(X_898))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,complement(X_898)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)))),bind(Y,$fot(join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))))),bind(Z,$fot(join(one,complement(X_898))))]]) ).
cnf(refute_1_7256,plain,
( join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))) != join(one,complement(X_898))
| join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)),join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))))) )],[refute_1_7254,refute_1_7255]) ).
cnf(refute_1_7257,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) = join(one,complement(X_898)),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_898),complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898)))))),join(one,complement(X_898))) )],[refute_1_7229,refute_1_7256]) ).
cnf(refute_1_7258,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)) != join(one,complement(X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) = join(one,complement(X_898)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))),join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))) ),[1],$fot(join(one,complement(X_898)))]]) ).
cnf(refute_1_7259,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) = join(one,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898)),join(one,complement(X_898))) )],[refute_1_7257,refute_1_7258]) ).
cnf(refute_1_7260,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))) != join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))
| join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) = join(one,complement(X_898)) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))),join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))) )],[refute_1_7222,refute_1_7259]) ).
cnf(refute_1_7261,plain,
join(one,complement(join(skolemFOFtoCNF_X0_1,X_898))) = join(one,complement(X_898)),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),join(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(complement(X_898))))),complement(X_898))) )],[refute_1_7208,refute_1_7260]) ).
cnf(refute_1_7262,plain,
join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))) = join(one,complement(complement(X_979))),
inference(subst,[],[refute_1_7261:[bind(X_898,$fot(complement(X_979)))]]) ).
cnf(refute_1_7263,plain,
meet(complement(skolemFOFtoCNF_X0_1),X_979) = complement(join(skolemFOFtoCNF_X0_1,complement(X_979))),
inference(subst,[],[refute_1_3253:[bind(X_981,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7264,plain,
( meet(complement(skolemFOFtoCNF_X0_1),X_979) != complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))
| complement(join(skolemFOFtoCNF_X0_1,complement(X_979))) = meet(complement(skolemFOFtoCNF_X0_1),X_979) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0_1),X_979))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))))]]) ).
cnf(refute_1_7265,plain,
complement(join(skolemFOFtoCNF_X0_1,complement(X_979))) = meet(complement(skolemFOFtoCNF_X0_1),X_979),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),X_979),complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))) )],[refute_1_7263,refute_1_7264]) ).
cnf(refute_1_7266,plain,
( complement(join(skolemFOFtoCNF_X0_1,complement(X_979))) != meet(complement(skolemFOFtoCNF_X0_1),X_979)
| join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))) != join(one,complement(complement(X_979)))
| join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) = join(one,complement(complement(X_979))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))),join(one,complement(complement(X_979)))) ),[0,1],$fot(meet(complement(skolemFOFtoCNF_X0_1),X_979))]]) ).
cnf(refute_1_7267,plain,
( join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))) != join(one,complement(complement(X_979)))
| join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) = join(one,complement(complement(X_979))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,complement(X_979))),meet(complement(skolemFOFtoCNF_X0_1),X_979)) )],[refute_1_7265,refute_1_7266]) ).
cnf(refute_1_7268,plain,
join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) = join(one,complement(complement(X_979))),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0_1,complement(X_979)))),join(one,complement(complement(X_979)))) )],[refute_1_7262,refute_1_7267]) ).
cnf(refute_1_7269,plain,
complement(complement(X_979)) = X_979,
inference(subst,[],[refute_1_365:[bind(X_675,$fot(X_979))]]) ).
cnf(refute_1_7270,plain,
join(one,complement(complement(X_979))) = join(one,complement(complement(X_979))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(X_979))))]]) ).
cnf(refute_1_7271,plain,
( complement(complement(X_979)) != X_979
| join(one,complement(complement(X_979))) != join(one,complement(complement(X_979)))
| join(one,complement(complement(X_979))) = join(one,X_979) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(X_979))),join(one,complement(complement(X_979)))) ),[1,1],$fot(X_979)]]) ).
cnf(refute_1_7272,plain,
( complement(complement(X_979)) != X_979
| join(one,complement(complement(X_979))) = join(one,X_979) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(X_979))),join(one,complement(complement(X_979)))) )],[refute_1_7270,refute_1_7271]) ).
cnf(refute_1_7273,plain,
join(one,complement(complement(X_979))) = join(one,X_979),
inference(resolve,[$cnf( $equal(complement(complement(X_979)),X_979) )],[refute_1_7269,refute_1_7272]) ).
cnf(refute_1_7274,plain,
( join(one,complement(complement(X_979))) != join(one,X_979)
| join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) != join(one,complement(complement(X_979)))
| join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) = join(one,X_979) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)),join(one,complement(complement(X_979)))) ),[1],$fot(join(one,X_979))]]) ).
cnf(refute_1_7275,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) != join(one,complement(complement(X_979)))
| join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) = join(one,X_979) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(X_979))),join(one,X_979)) )],[refute_1_7273,refute_1_7274]) ).
cnf(refute_1_7276,plain,
join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)) = join(one,X_979),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0_1),X_979)),join(one,complement(complement(X_979)))) )],[refute_1_7268,refute_1_7275]) ).
cnf(refute_1_7277,plain,
join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),
inference(subst,[],[refute_1_7276:[bind(X_979,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_7278,plain,
join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(subst,[],[refute_1_2987:[bind(X_676,$fot(meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),bind(X_720,$fot(one))]]) ).
cnf(refute_1_7279,plain,
( join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Y,$fot(join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),bind(Z,$fot(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_7280,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_7278,refute_1_7279]) ).
cnf(refute_1_7281,plain,
join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_7277,refute_1_7280]) ).
cnf(refute_1_7282,plain,
( join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),[1],$fot(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_7283,plain,
( join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_7281,refute_1_7282]) ).
cnf(refute_1_7284,plain,
( join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6939,refute_1_7283]) ).
cnf(refute_1_7285,plain,
join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) = join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),join(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0_1),composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_6937,refute_1_7284]) ).
cnf(refute_1_7286,plain,
complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_7287,plain,
( complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),[1,0],$fot(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))]]) ).
cnf(refute_1_7288,plain,
( join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)) != join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))
| complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_7286,refute_1_7287]) ).
cnf(refute_1_7289,plain,
complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) = complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)),join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) )],[refute_1_7285,refute_1_7288]) ).
cnf(refute_1_7290,plain,
meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))]]) ).
cnf(refute_1_7291,plain,
( complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) ),[1,1],$fot(complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))]]) ).
cnf(refute_1_7292,plain,
( complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))) != complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_7290,refute_1_7291]) ).
cnf(refute_1_7293,plain,
meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))),complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) )],[refute_1_7289,refute_1_7292]) ).
cnf(refute_1_7294,plain,
( meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != zero
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = zero ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Y,$fot(meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_7295,plain,
( meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != zero
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) )],[refute_1_7293,refute_1_7294]) ).
cnf(refute_1_7296,plain,
meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(join(one,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),zero) )],[refute_1_6853,refute_1_7295]) ).
cnf(refute_1_7297,plain,
join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_7298,plain,
( join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != zero
| join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_7299,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != zero
| join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,zero) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_7297,refute_1_7298]) ).
cnf(refute_1_7300,plain,
join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(skolemFOFtoCNF_X0_1,zero),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),zero) )],[refute_1_7296,refute_1_7299]) ).
cnf(refute_1_7301,plain,
( join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,zero)
| join(skolemFOFtoCNF_X0_1,zero) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,zero))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7302,plain,
( join(skolemFOFtoCNF_X0_1,zero) != skolemFOFtoCNF_X0_1
| join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,zero)) )],[refute_1_7300,refute_1_7301]) ).
cnf(refute_1_7303,plain,
join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,zero),skolemFOFtoCNF_X0_1) )],[refute_1_6830,refute_1_7302]) ).
cnf(refute_1_7304,plain,
( join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != skolemFOFtoCNF_X0_1
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7305,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),skolemFOFtoCNF_X0_1) )],[refute_1_7303,refute_1_7304]) ).
cnf(refute_1_7306,plain,
meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),join(skolemFOFtoCNF_X0_1,meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_6824,refute_1_7305]) ).
cnf(refute_1_7307,plain,
join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),
introduced(tautology,[refl,[$fot(join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))))]]) ).
cnf(refute_1_7308,plain,
( join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))
| meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != skolemFOFtoCNF_X0_1
| join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(X0,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) ),[1,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7309,plain,
( meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != skolemFOFtoCNF_X0_1
| join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(X0,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))))) )],[refute_1_7307,refute_1_7308]) ).
cnf(refute_1_7310,plain,
join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) = join(X0,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),skolemFOFtoCNF_X0_1) )],[refute_1_7306,refute_1_7309]) ).
cnf(refute_1_7311,plain,
( join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(X0,skolemFOFtoCNF_X0_1)
| join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(X0,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) ),[0],$fot(join(X0,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7312,plain,
( join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(X0,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) ),
inference(resolve,[$cnf( $equal(join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(X0,skolemFOFtoCNF_X0_1)) )],[refute_1_7310,refute_1_7311]) ).
cnf(refute_1_7313,plain,
join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0),
introduced(tautology,[refl,[$fot(join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))]]) ).
cnf(refute_1_7314,plain,
( join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) != join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)
| meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != zero
| join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = join(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0),join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_7315,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))) != zero
| join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = join(zero,X0) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0),join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) )],[refute_1_7313,refute_1_7314]) ).
cnf(refute_1_7316,plain,
join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = join(zero,X0),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),zero) )],[refute_1_7296,refute_1_7315]) ).
cnf(refute_1_7317,plain,
( join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) != join(zero,X0)
| join(zero,X0) != X0
| join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = X0 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))),bind(Y,$fot(join(zero,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_1_7318,plain,
( join(zero,X0) != X0
| join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = X0 ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0),join(zero,X0)) )],[refute_1_7316,refute_1_7317]) ).
cnf(refute_1_7319,plain,
join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) = X0,
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_1_2349,refute_1_7318]) ).
cnf(refute_1_7320,plain,
join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) = join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)))]]) ).
cnf(refute_1_7321,plain,
( join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) != X0
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) = join(skolemFOFtoCNF_X0_1,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_7322,plain,
( join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0) != X0
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) = join(skolemFOFtoCNF_X0_1,X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) )],[refute_1_7320,refute_1_7321]) ).
cnf(refute_1_7323,plain,
join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) = join(skolemFOFtoCNF_X0_1,X0),
inference(resolve,[$cnf( $equal(join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0),X0) )],[refute_1_7319,refute_1_7322]) ).
cnf(refute_1_7324,plain,
( join(X0,skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)) != join(skolemFOFtoCNF_X0_1,X0)
| join(X0,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,X0)) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)))]]) ).
cnf(refute_1_7325,plain,
( join(X0,skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(X0,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0)),join(skolemFOFtoCNF_X0_1,X0)) )],[refute_1_7323,refute_1_7324]) ).
cnf(refute_1_7326,plain,
( join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))) != join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))
| join(X0,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,X0) ),
inference(resolve,[$cnf( $equal(join(X0,skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) )],[refute_1_7312,refute_1_7325]) ).
cnf(refute_1_7327,plain,
join(X0,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,X0),
inference(resolve,[$cnf( $equal(join(X0,meet(one,join(skolemFOFtoCNF_X0_1,complement(composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top))))),join(skolemFOFtoCNF_X0_1,join(meet(one,complement(join(skolemFOFtoCNF_X0_1,composition(meet(one,complement(skolemFOFtoCNF_X0_1)),top)))),X0))) )],[refute_1_6829,refute_1_7326]) ).
cnf(refute_1_7328,plain,
join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_7327:[bind(X0,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_7329,plain,
( join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)
| join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Z,$fot(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_7330,plain,
( join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)
| join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_7328,refute_1_7329]) ).
cnf(refute_1_7331,plain,
join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)) )],[refute_1_5894,refute_1_7330]) ).
cnf(refute_1_7332,plain,
( composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)
| join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),bind(Y,$fot(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7333,plain,
( composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1)) )],[refute_1_7331,refute_1_7332]) ).
cnf(refute_1_7334,plain,
join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_5889,refute_1_7333]) ).
cnf(refute_1_7335,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) ),[0],$fot(join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7336,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7334,refute_1_7335]) ).
cnf(refute_1_7337,plain,
( composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5870,refute_1_7336]) ).
cnf(refute_1_7338,plain,
composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0_1,one),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),join(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_5856,refute_1_7337]) ).
cnf(refute_1_7339,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))) ),[0,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7340,plain,
( converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7338,refute_1_7339]) ).
cnf(refute_1_7341,plain,
converse(skolemFOFtoCNF_X0_1) = composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_5342,refute_1_7340]) ).
cnf(refute_1_7342,plain,
composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_7343,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) ),[1,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7344,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))) )],[refute_1_7342,refute_1_7343]) ).
cnf(refute_1_7345,plain,
composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7338,refute_1_7344]) ).
cnf(refute_1_7346,plain,
( composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1)
| composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) ),[0],$fot(composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7347,plain,
( composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1)) )],[refute_1_7345,refute_1_7346]) ).
cnf(refute_1_7348,plain,
composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_5853,refute_1_7347]) ).
cnf(refute_1_7349,plain,
composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_7350,plain,
( composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1)))
| converse(converse(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7351,plain,
( converse(converse(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_7349,refute_1_7350]) ).
cnf(refute_1_7352,plain,
composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_6348,refute_1_7351]) ).
cnf(refute_1_7353,plain,
( composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1)
| composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7354,plain,
( composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1)) )],[refute_1_7352,refute_1_7353]) ).
cnf(refute_1_7355,plain,
composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7348,refute_1_7354]) ).
cnf(refute_1_7356,plain,
composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) = composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)),
inference(subst,[],[refute_1_3592:[bind(X_596,$fot(skolemFOFtoCNF_X0_1)),bind(X_610,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_7357,plain,
( composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) != composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))
| composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| composition(converse(skolemFOFtoCNF_X0_1),X_611) = composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))) ),[0,0,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7358,plain,
( composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) != composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))
| composition(converse(skolemFOFtoCNF_X0_1),X_611) = composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7338,refute_1_7357]) ).
cnf(refute_1_7359,plain,
composition(converse(skolemFOFtoCNF_X0_1),X_611) = composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))) )],[refute_1_7356,refute_1_7358]) ).
cnf(refute_1_7360,plain,
converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_80:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X_596,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7361,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)
| converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7362,plain,
( composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) )],[refute_1_7360,refute_1_7361]) ).
cnf(refute_1_7363,plain,
converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7338,refute_1_7362]) ).
cnf(refute_1_7364,plain,
composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) = composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),
introduced(tautology,[refl,[$fot(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611))]]) ).
cnf(refute_1_7365,plain,
( composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) != composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611)
| converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) = composition(skolemFOFtoCNF_X0_1,X_611) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611)) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7366,plain,
( converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) = composition(skolemFOFtoCNF_X0_1,X_611) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611)) )],[refute_1_7364,refute_1_7365]) ).
cnf(refute_1_7367,plain,
composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) = composition(skolemFOFtoCNF_X0_1,X_611),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_7363,refute_1_7366]) ).
cnf(refute_1_7368,plain,
( composition(converse(composition(X_610,X_596)),X_611) != composition(converse(X_596),composition(converse(X_610),X_611))
| composition(converse(X_596),composition(converse(X_610),X_611)) = composition(converse(composition(X_610,X_596)),X_611) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(converse(composition(X_610,X_596)),X_611))),bind(Y,$fot(composition(converse(X_596),composition(converse(X_610),X_611))))]]) ).
cnf(refute_1_7369,plain,
composition(converse(X_596),composition(converse(X_610),X_611)) = composition(converse(composition(X_610,X_596)),X_611),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_610,X_596)),X_611),composition(converse(X_596),composition(converse(X_610),X_611))) )],[refute_1_3592,refute_1_7368]) ).
cnf(refute_1_7370,plain,
composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) = composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),
inference(subst,[],[refute_1_7369:[bind(X_596,$fot(skolemFOFtoCNF_X0_1)),bind(X_610,$fot(converse(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_7371,plain,
( composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) != composition(skolemFOFtoCNF_X0_1,X_611)
| composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) != composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611)
| composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) = composition(skolemFOFtoCNF_X0_1,X_611) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)))),bind(Y,$fot(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,X_611)))]]) ).
cnf(refute_1_7372,plain,
( composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611) != composition(skolemFOFtoCNF_X0_1,X_611)
| composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) = composition(skolemFOFtoCNF_X0_1,X_611) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)),composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611)) )],[refute_1_7370,refute_1_7371]) ).
cnf(refute_1_7373,plain,
composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) = composition(skolemFOFtoCNF_X0_1,X_611),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1)),X_611),composition(skolemFOFtoCNF_X0_1,X_611)) )],[refute_1_7367,refute_1_7372]) ).
cnf(refute_1_7374,plain,
( composition(converse(skolemFOFtoCNF_X0_1),X_611) != composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))
| composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)) != composition(skolemFOFtoCNF_X0_1,X_611)
| composition(converse(skolemFOFtoCNF_X0_1),X_611) = composition(skolemFOFtoCNF_X0_1,X_611) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(skolemFOFtoCNF_X0_1),X_611),composition(skolemFOFtoCNF_X0_1,X_611)) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)))]]) ).
cnf(refute_1_7375,plain,
( composition(converse(skolemFOFtoCNF_X0_1),X_611) != composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))
| composition(converse(skolemFOFtoCNF_X0_1),X_611) = composition(skolemFOFtoCNF_X0_1,X_611) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611)),composition(skolemFOFtoCNF_X0_1,X_611)) )],[refute_1_7373,refute_1_7374]) ).
cnf(refute_1_7376,plain,
composition(converse(skolemFOFtoCNF_X0_1),X_611) = composition(skolemFOFtoCNF_X0_1,X_611),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),X_611),composition(converse(skolemFOFtoCNF_X0_1),composition(converse(converse(skolemFOFtoCNF_X0_1)),X_611))) )],[refute_1_7359,refute_1_7375]) ).
cnf(refute_1_7377,plain,
composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) = composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_7376:[bind(X_611,$fot(converse(converse(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_7378,plain,
( composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) != composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1)))
| composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(subst,[],[refute_1_20:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))))),bind(Z,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7379,plain,
( composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))),composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_7377,refute_1_7378]) ).
cnf(refute_1_7380,plain,
composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,converse(converse(skolemFOFtoCNF_X0_1))),skolemFOFtoCNF_X0_1) )],[refute_1_7355,refute_1_7379]) ).
cnf(refute_1_7381,plain,
( composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))) != skolemFOFtoCNF_X0_1
| converse(skolemFOFtoCNF_X0_1) != composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))) ),[1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7382,plain,
( converse(skolemFOFtoCNF_X0_1) != composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))
| converse(skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1))),skolemFOFtoCNF_X0_1) )],[refute_1_7380,refute_1_7381]) ).
cnf(refute_1_7383,plain,
converse(skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),composition(converse(skolemFOFtoCNF_X0_1),converse(converse(skolemFOFtoCNF_X0_1)))) )],[refute_1_7341,refute_1_7382]) ).
cnf(refute_1_7384,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) = join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))]]) ).
cnf(refute_1_7385,plain,
( converse(skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) != join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7386,plain,
( converse(skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) )],[refute_1_7384,refute_1_7385]) ).
cnf(refute_1_7387,plain,
join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) = join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7383,refute_1_7386]) ).
cnf(refute_1_7388,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))))]]) ).
cnf(refute_1_7389,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))]]) ).
cnf(refute_1_7390,plain,
( join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))) != join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))) )],[refute_1_7388,refute_1_7389]) ).
cnf(refute_1_7391,plain,
meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) )],[refute_1_7387,refute_1_7390]) ).
cnf(refute_1_7392,plain,
join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)) = join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),
inference(subst,[],[refute_1_4719:[bind(X_1051,$fot(skolemFOFtoCNF_X0_1)),bind(X_1052,$fot(complement(one))),bind(X_1053,$fot(X_988))]]) ).
cnf(refute_1_7393,plain,
join(converse(skolemFOFtoCNF_X0_1),X_988) = join(converse(skolemFOFtoCNF_X0_1),X_988),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0_1),X_988))]]) ).
cnf(refute_1_7394,plain,
( converse(skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(converse(skolemFOFtoCNF_X0_1),X_988) != join(converse(skolemFOFtoCNF_X0_1),X_988)
| join(converse(skolemFOFtoCNF_X0_1),X_988) = join(skolemFOFtoCNF_X0_1,X_988) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),X_988),join(converse(skolemFOFtoCNF_X0_1),X_988)) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7395,plain,
( converse(skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| join(converse(skolemFOFtoCNF_X0_1),X_988) = join(skolemFOFtoCNF_X0_1,X_988) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),X_988),join(converse(skolemFOFtoCNF_X0_1),X_988)) )],[refute_1_7393,refute_1_7394]) ).
cnf(refute_1_7396,plain,
join(converse(skolemFOFtoCNF_X0_1),X_988) = join(skolemFOFtoCNF_X0_1,X_988),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7383,refute_1_7395]) ).
cnf(refute_1_7397,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)))]]) ).
cnf(refute_1_7398,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) != join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988))
| join(converse(skolemFOFtoCNF_X0_1),X_988) != join(skolemFOFtoCNF_X0_1,X_988)
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,X_988))]]) ).
cnf(refute_1_7399,plain,
( join(converse(skolemFOFtoCNF_X0_1),X_988) != join(skolemFOFtoCNF_X0_1,X_988)
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988))) )],[refute_1_7397,refute_1_7398]) ).
cnf(refute_1_7400,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0_1),X_988),join(skolemFOFtoCNF_X0_1,X_988)) )],[refute_1_7396,refute_1_7399]) ).
cnf(refute_1_7401,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) != join(complement(one),join(skolemFOFtoCNF_X0_1,X_988))
| join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)) != join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)))),bind(Y,$fot(join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))))]]) ).
cnf(refute_1_7402,plain,
( join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)) != join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))
| join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(complement(one),join(skolemFOFtoCNF_X0_1,X_988))) )],[refute_1_7400,refute_1_7401]) ).
cnf(refute_1_7403,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) = join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0_1,X_988)),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) )],[refute_1_7392,refute_1_7402]) ).
cnf(refute_1_7404,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))))]]) ).
cnf(refute_1_7405,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) != join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)))]]) ).
cnf(refute_1_7406,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)) != join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))) )],[refute_1_7404,refute_1_7405]) ).
cnf(refute_1_7407,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(skolemFOFtoCNF_X0_1,join(complement(one),X_988))) )],[refute_1_7403,refute_1_7406]) ).
cnf(refute_1_7408,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))))),bind(Z,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))))]]) ).
cnf(refute_1_7409,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one))))) )],[refute_1_7407,refute_1_7408]) ).
cnf(refute_1_7410,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))) )],[refute_1_7391,refute_1_7409]) ).
cnf(refute_1_7411,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))
| meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_7412,plain,
( meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one))))) )],[refute_1_7410,refute_1_7411]) ).
cnf(refute_1_7413,plain,
meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0_1,join(complement(one),X_988)),join(skolemFOFtoCNF_X0_1,complement(meet(X_988,one)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_5341,refute_1_7412]) ).
cnf(refute_1_7414,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != join(skolemFOFtoCNF_X0_1,complement(one))
| join(skolemFOFtoCNF_X0_1,complement(one)) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_7415,plain,
( meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| join(skolemFOFtoCNF_X0_1,complement(one)) = converse(join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_7413,refute_1_7414]) ).
cnf(refute_1_7416,plain,
join(skolemFOFtoCNF_X0_1,complement(one)) = converse(join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),join(converse(skolemFOFtoCNF_X0_1),X_988)),join(converse(skolemFOFtoCNF_X0_1),complement(meet(X_988,one)))),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_5289,refute_1_7415]) ).
cnf(refute_1_7417,plain,
( join(skolemFOFtoCNF_X0_1,complement(one)) != converse(join(skolemFOFtoCNF_X0_1,complement(one)))
| converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,complement(one)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,complement(one)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_7418,plain,
converse(join(skolemFOFtoCNF_X0_1,complement(one))) = join(skolemFOFtoCNF_X0_1,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(one)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7416,refute_1_7417]) ).
cnf(refute_1_7419,plain,
meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),
introduced(tautology,[refl,[$fot(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_7420,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0_1,complement(one)))]]) ).
cnf(refute_1_7421,plain,
( converse(join(skolemFOFtoCNF_X0_1,complement(one))) != join(skolemFOFtoCNF_X0_1,complement(one))
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_7419,refute_1_7420]) ).
cnf(refute_1_7422,plain,
meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0_1,complement(one))),join(skolemFOFtoCNF_X0_1,complement(one))) )],[refute_1_7418,refute_1_7421]) ).
cnf(refute_1_7423,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_7424,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))
| converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one)))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7422,refute_1_7423]) ).
cnf(refute_1_7425,plain,
converse(composition(top,skolemFOFtoCNF_X0_1)) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),converse(join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_5174,refute_1_7424]) ).
cnf(refute_1_7426,plain,
converse(composition(top,skolemFOFtoCNF_X0_1)) = composition(converse(skolemFOFtoCNF_X0_1),top),
inference(subst,[],[refute_1_3347:[bind(X_596,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_7427,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),top)
| converse(skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X0_1
| converse(composition(top,skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),top)) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_7428,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != composition(converse(skolemFOFtoCNF_X0_1),top)
| converse(composition(top,skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X0_1) )],[refute_1_7383,refute_1_7427]) ).
cnf(refute_1_7429,plain,
converse(composition(top,skolemFOFtoCNF_X0_1)) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),composition(converse(skolemFOFtoCNF_X0_1),top)) )],[refute_1_7426,refute_1_7428]) ).
cnf(refute_1_7430,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != composition(skolemFOFtoCNF_X0_1,top)
| converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| composition(skolemFOFtoCNF_X0_1,top) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_7431,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| composition(skolemFOFtoCNF_X0_1,top) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_7429,refute_1_7430]) ).
cnf(refute_1_7432,plain,
meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) = meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))),
introduced(tautology,[refl,[$fot(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_7433,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != composition(skolemFOFtoCNF_X0_1,top)
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_7434,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != composition(skolemFOFtoCNF_X0_1,top)
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7432,refute_1_7433]) ).
cnf(refute_1_7435,plain,
meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_7429,refute_1_7434]) ).
cnf(refute_1_7436,plain,
( composition(skolemFOFtoCNF_X0_1,top) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))) != meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))
| composition(skolemFOFtoCNF_X0_1,top) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0_1,top),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) ),[0],$fot(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))))]]) ).
cnf(refute_1_7437,plain,
( composition(skolemFOFtoCNF_X0_1,top) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| composition(skolemFOFtoCNF_X0_1,top) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one))),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7435,refute_1_7436]) ).
cnf(refute_1_7438,plain,
( converse(composition(top,skolemFOFtoCNF_X0_1)) != meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))
| composition(skolemFOFtoCNF_X0_1,top) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7431,refute_1_7437]) ).
cnf(refute_1_7439,plain,
composition(skolemFOFtoCNF_X0_1,top) = meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0_1)),meet(converse(composition(top,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7425,refute_1_7438]) ).
cnf(refute_1_7440,plain,
( composition(skolemFOFtoCNF_X0_1,top) != meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))
| meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_7441,plain,
meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) )],[refute_1_7439,refute_1_7440]) ).
cnf(refute_1_7442,plain,
join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))]]) ).
cnf(refute_1_7443,plain,
( join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))
| meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) != composition(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_7444,plain,
( meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))) != composition(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) )],[refute_1_7442,refute_1_7443]) ).
cnf(refute_1_7445,plain,
join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_7441,refute_1_7444]) ).
cnf(refute_1_7446,plain,
( join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != composition(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_7447,plain,
( join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != composition(skolemFOFtoCNF_X0_1,top)
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_7445,refute_1_7446]) ).
cnf(refute_1_7448,plain,
join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_4007,refute_1_7447]) ).
cnf(refute_1_7449,plain,
complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))]]) ).
cnf(refute_1_7450,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))
| join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != composition(skolemFOFtoCNF_X0_1,top)
| complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_7451,plain,
( join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))) != composition(skolemFOFtoCNF_X0_1,top)
| complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) )],[refute_1_7449,refute_1_7450]) ).
cnf(refute_1_7452,plain,
complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) = complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_7448,refute_1_7451]) ).
cnf(refute_1_7453,plain,
meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))))]]) ).
cnf(refute_1_7454,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(composition(skolemFOFtoCNF_X0_1,top))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_7455,plain,
( complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))) != complement(composition(skolemFOFtoCNF_X0_1,top))
| meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_7453,refute_1_7454]) ).
cnf(refute_1_7456,plain,
meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_7452,refute_1_7455]) ).
cnf(refute_1_7457,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) ),[1],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_7458,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one)))))),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_7456,refute_1_7457]) ).
cnf(refute_1_7459,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(join(skolemFOFtoCNF_X0_1,meet(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(one))))))) )],[refute_1_3997,refute_1_7458]) ).
cnf(refute_1_7460,plain,
join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_7461,plain,
( join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) != meet(complement(skolemFOFtoCNF_X0_1),one)
| meet(complement(skolemFOFtoCNF_X0_1),one) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0_1),one))]]) ).
cnf(refute_1_7462,plain,
( meet(complement(skolemFOFtoCNF_X0_1),one) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)
| join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),meet(complement(skolemFOFtoCNF_X0_1),one)) )],[refute_1_1135,refute_1_7461]) ).
cnf(refute_1_7463,plain,
meet(complement(skolemFOFtoCNF_X0_1),one) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) )],[refute_1_7462,refute_1_7460]) ).
cnf(refute_1_7464,plain,
( meet(complement(skolemFOFtoCNF_X0_1),one) != meet(one,complement(skolemFOFtoCNF_X0_1))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)
| meet(complement(skolemFOFtoCNF_X0_1),one) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) ),[0],$fot(meet(one,complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_7465,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)
| meet(complement(skolemFOFtoCNF_X0_1),one) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),one),meet(one,complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1141,refute_1_7464]) ).
cnf(refute_1_7466,plain,
( meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) ),[1],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_7467,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| meet(one,complement(skolemFOFtoCNF_X0_1)) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1136,refute_1_7466]) ).
cnf(refute_1_7468,plain,
( meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))
| meet(complement(skolemFOFtoCNF_X0_1),one) = meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) )],[refute_1_7467,refute_1_7465]) ).
cnf(refute_1_7469,plain,
meet(one,complement(skolemFOFtoCNF_X0_1)) != meet(one,complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0_1),one),meet(complement(composition(skolemFOFtoCNF_X0_1,top)),one)) )],[refute_1_7468,refute_1_7463]) ).
cnf(refute_1_7470,plain,
$false,
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0_1)),meet(one,complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_7459,refute_1_7469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : REL027+4 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 8 09:05:24 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 93.35/93.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.35/93.56
% 93.35/93.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 95.66/95.84
%------------------------------------------------------------------------------